Anthe Senior Sample Paper 4i3539
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Sample Paper
Aakash National Talent Hunt Exam 2015 (Senior)
Aakash National Talent Hunt Exam 2015 (Senior) Sample Paper Time : 2 Hours MM : 360 SECTION - A : SCIENCE 1.
Hkkx - A % foKku
Four bulbs, each of rating (100 W, 220 V) and connected in parallel across a voltage supply of 220 V, are operated for five hours daily. If all the bulbs are replaced by LEDs of rating (8 W, 220 V), how many units of electrical energy will be saved every month (30 days)?
1.
(1) 55.2 units (2) 60 units
pkj cYc] ftuesa ls çR;sd ij (100 W] 220 V) vafdr gS] dks 220 V dh oksYVrk&vkiwfrZ ls lekarj Øe esa tksMk+ x;k gS ,oa bUgsa çfrfnu ik¡p ?kaVs tyk;k tkrk gSA ;fn lHkh cYcksa ds LFkku ij LEDs] ftu ij (8 W] 220 V) vafdr gS] yxk fn, tk,a rks çfr ekg (30 fnu) esa fdruh fo|qr ÅtkZ dh r gksxh? (1) 55.2
;wfuV
(2) 60
;wfuV
(4) 32
;wfuV
(3) 4.8 units (3) 4.8
(4) 32 units 2.
2.
In the circuit given below, the potential difference across the arm PQ will be
P
6
;wfuV
uhps fn, x, ifjiFk es]a Hkqtk gksxk
PQ
P
Q
Q
6
6
5
5
24 V
24 V
3.
6
ds fljksa ij foHkokarj
(1) 4.5 V
(2) 12 V
(3) 24 V
(4) 9 V
(1) 4.5 V
(2) 12 V
(3) 24 V
(4) 9 V
A real object is kept at a distance of 2f, first in front of a convex lens and then in front of a concave mirror, each having focal length f. The ratio of magnifications produced by them will be
,d okLrfod oLrq dks 2f dh nwjh ij] igys ,d mÙky ysla ds lEeq[k vkSj fÝQj ,d vory niZ.k ds lEeq[k j[kk tkrk gS] ftuesa çR;sd dh ÝQksdl nwjh f gSA buds }kjk mRiUu vkoèkZuksa dk vuqikr gksxk
(1) 1 : 1
(2) 1 : –1
(1) 1 : 1
(2) 1 : –1
(3) 2 : 1
(4) 2 : –1
(3) 2 : 1
(4) 2 : –1
3.
Space for Rough Work
1
Aakash National Talent Hunt Exam 2015 (Senior) 4.
Sample Paper 4.
A rectangular glass slab having refractive index 3 , is silvered at one surface as shown in the figure. If the angle of refraction of the light ray at the interface AB is 30°, then the measure of angle x will be
fn;s x, fp=k ds vuqlkj ,d vk;rkdkj dk¡p dh flYyh dh ,d lrg dks jtfrr fd;k x;k gS vkS j bldk viorZukad 3 gS] ;fn varjki`"B AB ij çdk'k fdj.k dk viorZu dks.k 30° gks] rks dks.k x dk eki gksxh
Light ray x
A
ok;q x
30° Silvered
5.
izdk'k fdj.k
A
AIR
30°
B
B
jtfrr
(1) 45°
(2) 30°
(3) 60°
(4) 90°
The effective focal length of two lenses in with each other, having focal lengths f1 and f2, is given by
5.
(1) 45°
(2) 30°
(3) 60°
(4) 90°
,d&nwljs ds laidZ esa j[ks f1 rFkk ysla ksa dh çHkkoh ÝQksdl nwjh gksxh
f2
ÝQksdl nwfj;ksa okys nks
(1) f1 + f2 (1) f1 + f2
f1 f2 (2) f f 12
(2)
f1f2 (3) f f 1 2
f1f2 (3) f f 1 2
f1 (4) f 2
6.
f1 f2 f1f2
f1 (4) f 2
Same net force is applied on two different objects of masses m and 3m. If x and y are the magnitudes of
6.
x
m
rFkk 3m æO;eku okyh nks fHkÂ&fHk oLrqvksa ij leku usV cy yxk;k tkrk gSA ;fn buds Roj.k ds ifjek.k Øe'k%
their acceleration respectively, then the ratio y will be
x
(1) 1 : 3
(2) 1 : 1
(1) 1 : 3
(2) 1 : 1
(3) 3 : 1
(4) 9 : 1
(3) 3 : 1
(4) 9 : 1
vkSj
Space for Rough Work
2
y
gks]a rks budk vuqikr
x y
gksxk
Sample Paper 7.
Aakash National Talent Hunt Exam 2015 (Senior)
Match the following and choose the appropriate option. (Symbols have their usual meanings) Column (A) a.
7.
fuEukafdr dk feyku djsa vkSj mi;qDr fodYi pquAas (çrhdksa ds vFkZ ogh gSa tks lkekU;r% gksrs gS)a
Column (B)
dkWye
v
(i) Particle undergoing uniform positive acceleration
a.
(A)
dkWye (B)
v
(i)
,dleku èkukRed Roj.k ls xqtj+ rh gqbZ oLrq
(ii)
oLrq fojkekoLFkk esa gS
(iii)
oLrq fu;r eanu ls xqtj+ jgh gS
(iv)
oLrq ,dleku osx ls xfr dj jgh gS
t t b.
v
(ii) Particle is at rest
b.
v
t c.
s
t (iii) Particle undergoing constant retardation
c.
s
t d.
v
t (iv) Particle moving with uniform velocity
d.
t
t (1) a(ii), b(i), c(iv), d(iii) (2) a(iv), b(i), c(ii), d(iii)
(1) a(ii), b(i), c(iv), d(iii) (2) a(iv), b(i), c(ii), d(iii)
(3) a(ii), b(iv), c(iii), d(i) (4) a(iv), b(ii), c(iii), d(i)
(3) a(ii), b(iv), c(iii), d(i) (4) a(iv), b(ii), c(iii), d(i) 8.
v
8.
A boy runs on a circular track of radius 20 m and stops after covering one sixth of the track. The magnitude of his displacement will be (1) 20 m
(2) 20 m
(3) 40 m
(4)
20 m 3
,d yM+dk 20 eh- f=kT;k okys o`Ùkkdkj iFk ij nkSMr+ k gS vkSj iFk ds NBosa Hkkx rd nkSM+ dj #d tkrk gSA mlds foLFkkiu dk ifjek.k gksxk (1) 20
eh-
(2) 20
(3) 40
eh-
(4)
Space for Rough Work
3
eh-
20 3
eh-
Aakash National Talent Hunt Exam 2015 (Senior) 9.
Sample Paper
A pistol of mass 2 kg fires a bullet of mass 50 g. 1 The bullet strikes a stationary block of mass kg. 2 If the block, with the bullet embedded in it, moves with a velocity of 4 m/s, the recoil velocity of the pistol will be (Ignore friction and air resistance) (1) –1.10 m/s
(2) –0.5 m/s
(3) –0.55 m/s
(4) –1 m/s
9.
(2) 40 s
(3) 45 s
(4) 15 s
10.
11. Two copper wires A and B have their cross sectional areas in the ratio 1 : 2 and lengths in the ratio 2 : 1 respectively. The ratio of the resistivities of A and B will be (1) 1 : 4
(2) 8 : 1
(3) 4 : 1
(4) 1 : 1
11.
(2) 8 : 15
(3) 5 : 6
(4) 6 : 5
12.
Smooth surface
;fn nks fiaMksa ds æO;ekuksa ,oa osxksa ds vuqikr Øe'k% 2 : 3 vkSj 4 : 5 gksa rks muds laoxs ksa ds ifjek.k dk vuqikr gS
13.
(2) 8 : 15 (4) 6 : 5
tSlk fd fp=k esa fn[kk;k x;k gS] vkjaHk esa {kSfrt osx v ls xfreku 4 fdxzk- dh ,d xsna ] nhokj ls Vdjkrh gS vkSj viuh vkjafHkd pky dh 75% pky ls okil ykSVrh gSA blds ckn og 6 fdxzk- dh xsna ls lhèks Vdjkrh gS vkSj mlls fpid tkrh gSA ;fn nksuksa xsna as 6 eh-@ls- dh mHk;fu"B pky ls pyuk vkjaHk dj nsrh gS]a rks v dk eku gS
Wall 4 kg
xzk- æO;eku okyh
(2) 8 : 1 (4) 1 : 1
(1) 15 : 8 (3) 5 : 6
13. As shown in the figure, a 4 kg ball initially moving with horizontal velocity v strikes the wall and rebounds with 75% of its initial speed. It then undergoes head on collision with the 6 kg ball and sticks to it. If both start moving with common speed of 6 m/s, then the value of v is
6 kg (At rest)
50
fdxzk- æO;eku okys ,d fLFkj ,d xksyh nkxrh gSA xksyh CykWd ls Vdjkrh gSA ;fn xksyh dks lekfgr fd;s gq, ;g CykWd] 4 eh-@ls- ds osx ls xfr djs] rks fiLrkSy dk çfr{ksi osx D;k gksxk? (?k"kZ.k vkSj ok;q dk çfrjksèk ux.; eku ys)a (1) –1.10 eh-@ls(2) –0.5 eh-@ls(3) –0.55 eh-@ls(4) –1 eh-@ls40 fdxzk- æO;eku okyh ,d yM+dh 15 lhf<+;ks okyk ,d t+huk p<+rh gSA çR;sd lh<+h dh ÅapkbZ 20 lseh- gSA ;fn mlus t+huk p<+us esa 80 W 'kfDr dk mi;ksx fd;k gks rks mlds }kjk fy;k x;k le; gksxk [g = 10 eh-@ls-2 yhft,] (1) vkèkk feuV (2) 40 lsd.M (3) 45 lsd.M (4) 15 lsd.M rkacs ds nks rkjksa dh vuqçLFk dkV ds {ks=kÝQy 1 : 2 ds vuqikr esa gSa rFkk mudh yackbZ Øe'k% 2 : 1 ds vuqikr esa gSAa A vkSj B dh çfrjksèkdrkvksa dk vuqikr gksxk (1) 1 : 4 (3) 4 : 1
12. If ratios of masses and velocities of two bodies are 2 : 3 and 4 : 5 respectively, then the ratio of magnitude of their momenta is (1) 15 : 8
fdxzk- æO;eku okyh ,d fiLrkSy 1 2
10. A girl of mass 40 kg takes a staircase of 15 steps, each of height 20 cm. If she utilizes a power of 80 W to climb the staircase, the time taken by her is [Take g = 10 m/s2] (1) Half a minute
2
6 fdxzk-
(fojke ij)
v
nhokj 4 fdxzk-
fpduh lrg
(1) 20 m/s
(2) 15 m/s
(1) 20
(2) 15
(3) 60 m/s
(4) 12 m/s
(3)
(4)
Space for Rough Work
4
eh-@ls60 eh-@ls-
v
eh-@ls12 eh-@ls-
Sample Paper
Aakash National Talent Hunt Exam 2015 (Senior)
14. Choose the pair of quantities having same unit.
14.
(1) Power and energy (2) Current and potential difference (3) Work and energy
15.
(4) Magnification and power 15. When a ball is thrown vertically upwards, then at the highest point (1) Acceleration is zero but velocity is non-zero (2) Acceleration is non-zero but velocity is zero (3) Both acceleration and velocity are zero 16.
(4) Both acceleration and velocity are non-zero 16. A colourless and odourless gas P is evolved during thermal decomposition of lead nitrate. P reacts with the main component of biogas to form compounds Q and R. P, Q and R respectively are (1) N2O, O2 and H2O
(2) CO2, O2 and Cl2
(3) O2, CO2 and H2O
(4) O2, CO2 and H2 17.
17. The number of C – H bonds present in propanol is (1) 8
(2) 9
(3) 10
(4) 7
(1) 8 (3) 10 18.
18. Identify which of the following statements is/are true and choose the appropriate option. (i) Unsaturated hydrocarbons generally burn with a sooty flame. (ii) The possible structural isomers for butane are three. (1) Both (i) & (ii) are correct (2) Both (i) & (ii) are incorrect (3) Only (i) is correct (4) Only (ii) is correct
19.
19. Which of the following gases is evolved at cathode during the electrolysis of brine? (1) Cl2
(2) O2
(3) H2
(4) NO2
mu jkf'k;ksa ds ;qXe dks pquas ftlds ek=kd leku gSAa (1) 'kfDr ,oa ÅtkZ (2) fo|qrèkkjk ,oa foHkokarj (3) dk;Z ,oa ÅtkZ (4) vkoèkZu ,oa 'kfDr tc fdlh xsna dks ÅèoZr% Åij dh vksj ÝQsd a k tkrk gS rks vf/dre Å¡pkbZ ij (1) Roj.k 'kwU; gksrk gS fdarq osx gksrk gS (2) Roj.k gksrk gS fdarq osx 'kwU; gksrk gS (3) Roj.k vkSj osx] nksuksa 'kwU; gksrs gSa (4) Roj.k vkSj osx] nksuksa gksrs gSa ysM ukbVªsV ds rkih; vi?kVu ds nkSjku ,d jaxghu o xaèkghu xSl P mRiUu gksrh gSA P] ck;ksxlS ds eq[; vo;o ds lkFk vfHkfØ;k djds ;kSfxd Q vkSj R cukrh gSA P, Q vkSj R Øe'k% gSa (1) N2O, O2 vkSj H2O (2) CO2, O2 vkSj Cl2 (3) O2, CO2 vkSj H2O (4) O2, CO2 vkSj H2 çksius kWy esa mifLFkr C – H vkcaèkksa dh la[;k gS
igpkusa fd fuEu esa ls dkSu lk@ls dFku lR; gS@gSa vkSj mi;qDr fodYi pquAas (i) vlarI` r gkbMªkd s kcZu lkekU;r% /q,¡ a okyh Tokyk ds lkFk tyrs gSAa (ii) C;wVu s ds rhu lajpukRed leko;o laHko gSAa (1) (i) vkSj (ii)] nksuksa lgh gSAa (2) (i) vkSj (ii)] nksuksa xyr gSAa (3) dsoy (i) lgh gSA (4) dsoy (ii) lgh gSA czkbZu ds fo|qr vi?kVu ds nkSjku ½.kkxz (dSFkksM) ij buesa ls dkSu&lh xSl eqDr gksrh gS? (1) Cl2 (3) H2
Space for Rough Work
5
(2) 9 (4) 7
(2) O2 (4) NO2
Aakash National Talent Hunt Exam 2015 (Senior)
Sample Paper
20. On thermal decomposition of CaCO3, a gas ‘X’ is obtained. The aqueous solution of X
20. CaCO3
ds rkih; vi?kVu ij] xSl ^X* çkIr gksrh gSA ^X* dk tyh; foy;u (1) yky fyV~el dks uhyk dj nsxk (2) ÝQhukWyÝFksfyu ds jax dks ifjo£rr ugha djrk (3) gYnh ds lkFk yky jax nsxk (4) esfFky vkWjt as ds lkFk uhyk jax nsxk
(1) Turns red litmus blue (2) Does not change the colour of phenolphthalein (3) Gives red colour with turmeric (4) Gives blue colour with methyl orange 21. aMnO2 + bHCl cMnCl2 + dH2O + eCl2 pC2H5OH + qO2 rCO2 + sH2O
21. aMnO2 + bHCl cMnCl2 + dH2O + eCl2 pC2H5OH + qO2 rCO2 + sH2O
a, c, q and r in the above chemical equations respectively are (1) 2, 4, 2 and 1
(2) 1, 1, 3 and 2
(3) 4, 2, 2 and 1
(4) 2, 1, 4 and 2
22. The number of moles of ammonia that have the same mass as that of 3 moles of carbon dioxide is (1) 0.19 mol
(2) 2.58 mol
(3) 9.04 mol
(4) 7.76 mol
22.
23. Two elements ‘A’ and ‘B’ have same number of electrons in their valence shells. The number of electrons present in the second last shell of atom ‘A’ is two times the number of electrons present in the second shell of atom ‘B’. A and B respectively are
23.
(1) Aluminium and phosphorus (2) Magnesium and calcium (3) Silicon and carbon (4) Oxygen and sulphur 24. Match the following and choose the correct option. Element
24.
Valency
a. C
(i) 3
b. B
(ii) 4
c. K
(iii) 2
d. Mg
(iv) 1
mijksDr jklk;fud lehdj.kksa es]a a, c, q vkSj r Øe'k% gSa (1) 2, 4, 2 vkSj 1 (2) 1, 1, 3 vkSj 2 (3) 4, 2, 2 vkSj 1 (4) 2, 1, 4 vkSj 2 fdrus eksy veksfu;k dk æO;eku] 3 eksy dkcZu MkbZvkWDlkbM ds nzO;eku ds cjkcj gksxk? (1) 0.19 eksy (2) 2.58 eksy (3) 9.04 eksy (4) 7.76 eksy nks rRoksa 'A' rFkk 'B' ds la;ksth dks'k esa bysDVªkuW ksa dh la[;k leku gSA ijek.kq 'A' ds f}rh; vafre dks'k esa mifLFkr bysDVªkuW ksa dh la[;k] ijek.kq 'B' ds f}rh; dks'k esa mifLFkr bysDVªkuW ksa dh la[;k dh nksxuq h gSA A vkSj B Øe'k% gSa (1) ,Y;wfefu;e ,oa ÝQkWLÝQksjl (2) eSXuhf'k;e ,oa dSfY'k;e (3) flfydu ,oa dkcZu (4) vkWDlhtu ,oa lYÝQj fuEukafdr dk feyku djsa vkSj lgh fodYi pquAas rRo la;kstdrk a. b. c. d. (1) (3)
(1) a(ii), b(iv), c(i), d(iii) (2) a(ii), b(i), c(iii), d(iv) (3) a(ii), b(i), c(iv), d(iii) (4) a(ii), b(iii), c(i), d(iv)
C (i) B (ii) K (iii) Mg (iv) a(ii), b(iv), c(i), d(iii) (2) a(ii), b(i), c(iv), d(iii) (4)
25. CH4 ds 48.176 × 1023
25. Mass of 48.176 × 1023 molecules of CH4 will be (1) 68 g
(2) 92 g
(1) 68
(3) 128 g
(4) 188 g
(3) Space for Rough Work
6
xzk128 xzk-
3 4 2 1 a(ii), b(i), c(iii), d(iv) a(ii), b(iii), c(i), d(iv)
v.kqvksa dk æO;eku gksxk (2) 92 xzk(4) 188 xzk-
Sample Paper
Aakash National Talent Hunt Exam 2015 (Senior)
26. Dehydration of ethanol results in the formation of a compound ‘X’ along with water. Hydrogenation of ‘X’ forms another compound ‘Y’. ‘X’ and ‘Y’ respectively are
26.
(1) Ethanoic acid and methane (2) Ethene and ethane (3) Ethanol and ethane
27.
(4) Ethane and methane 27. Which of the following contains the maximum number of atoms? (1) 48 g of helium (2) 3.011 × 1021 molecules of ammonia (3) 48 molecules of methane
28.
(4) 3 mol of oxygen 28. Which of the following pairs of elements have same number of valence electrons? (1) Sodium and magnesium (2) Carbon and nitrogen
29.
(3) Oxygen and sulphur (4) Potassium and calcium 29. On thermal decomposition of baking soda, salt ‘X’ is obtained. The aqueous solution of ‘X’ will be (1) Acidic
(2) Basic
(3) Amphoteric
(4) Neutral
30.
30. Compound A on reacting with baking soda produces a colourless gas C, which when ed through lime water forms a solution D. On further ing the gas C through D, another solution E is formed. Identify the nature of A and the colour of the solution E. (1) Acidic, blue
(2) Basic, red
(3) Basic, yellow
(4) Acidic, colourless
31.
31. The green coloured pigment present in chloroplast helps in (1) Absorption of phosphorus from the soil (2) Absorption of light energy (3) Removal of excess water through lenticels (4) Exchange of respiratory gases
,FkukWy ds futZyhdj.k ds ifj.kkeLo:i ty ds lkFk&lkFk ,d ;kSfxd 'X' fufeZr gksrk gSA 'X' ds gkbMªkt s uhdj.k ls ,d vU; ;kSfxd 'Y' fufeZr gksrk gSA 'X' vkSj 'Y' Øe'k% gSa (1) ,FkukWbd vEy ,oa ehFksu (2) ,Fkhu ,oa ,Fksu (3) ,FkukWy ,oa ,Fksu (4) ,Fksu ,oa ehFksu fuEu esa ls fdlesa ijek.kqvksa dh la[;k lokZfèkd gS? (1) 48 xzke ghfy;e (2) veksfu;k ds 3.011 × 1021 v.kq (3) ehFksu ds 48 v.kq (4) 3 eksy vkWDlhtu fuEu esa ls fdl rRo&;qXe esa la;ksth bysDVªkuW ksa dh la[;k leku gS? (1) lksfM;e ,oa eSXuhf'k;e (2) dkcZu ,oa ukbVªkt s u (3) vkWDlhtu ,oa lYÝQj (4) iksVfS 'k;e ,oa dSfY'k;e csfdax lksMk ds rkih; fo;kstu ij] yo.k 'X' çkIr gksrk gSA 'X' dk tyh; foy;u dh izoQ` fr gksxh? (2) {kkjh; (1) vEyh; (3) mHk;èkehZ (4) mnklhu ;kSfxd A, csfdax lksMk ls vfHkfØ;k djus ij jaxghu xSl C mRiUu djrk gSA bl xSl dks pwus ds ikuh ls xqtk+ jus ij foy;u D curk gSA D ls xSl C dks iqu% xqtk+ jus ij] ,d vU; foy;u E curk gSA A dh çÑfr vkSj foy;u E dk jax igpkfu,A (1) vEyh;, uhyk (2) {kkjh;] yky (3) {kkjh;, ihyk (4) vEyh;] jaxghu gfjr yod esa mifLFkr gjs jax ds o.kZd fdl dk;Z esa lgk;d gksrs gS\ a (1) e`nk ls iQkWLiQksjl dk vo'kks"k.k (2) çdk'k ÅtkZ dk vo'kks"k.k (3) okrjaèkzkas ds ekè;e ls vfrfjDr ty dk fu"dklu (4) 'olu xSlksa dk fofue;
Space for Rough Work
7
Aakash National Talent Hunt Exam 2015 (Senior)
Sample Paper
32. In humans, the centre associated with hunger is present in the (1) Fore brain (2) Hind brain (3) Mid brain (4) Spinal cord 33. In humans, ________ provides a surface where exchange of gases can take place. (1) Neuron (2) Villi (3) Nephron (4) Alveolus 34. Statement-1 : Carbon dioxide is insoluble in water. Statement-2 : Haemoglobin has a high affinity for oxygen. (1) Both the statements are true (2) Both the statements are false (3) Statement-1 is true and statement-2 is false (4) Statement-1 is false and statement-2 is true 35. Glucose
In cytoplasm
Pyruvate
(6-Carbon molecule)
32.
33.
34.
Lack of oxygen P + Energy (in our muscle (3-Carbon cells) molecule)
35.
Pepsin
Trypsin
Trypsin
+
+
+
+
HCl
Alkali
Alkali
HCl
+
+
+
+
Protein
Protein
Protein
Protein
P (1) P and R (3) Q and S
Q
dkfs'kdknzO; esa Xyd w kt s ⎯⎯⎯⎯→ ikb#osV
(6 − dkcZu
v.k)q
vkWDlhtu dh deh ⎯⎯ ⎯ ⎯ ⎯ ⎯⎯ → (gekjh is'kh&dkfs'kdkvksa ea)s
The accumulation of ‘P’ in humans leads to (1) Dwarfism (2) Muscle cramps (3) Diabetes (4) Hepatitis A 36. Which of the following is not a part of excretory system in human beings? (1) Kidney (2) Ureter (3) Vas deferens (4) Urethra 37. In which of the following test tubes digestion of protein would not take place? Pepsin
ekuo es]a Hkw[k ls lacfa èkr dsæa dgka mifLFkr gksrk gS? vxz efLr"d esa (2) i'p efLr"d esa (3) eè; efLr"d esa (4) es# jTtq esa ekuoksa es]a ________ xSlksa ds fofue; ds fy, lrg çnku djrh@djrk@djrs gS@gSAa (1) raf=kdk dksf'kdk (2) jlkadqj (3) o`Ddk.kq (4) dwfidk dFku-1 : dkcZu MkbZvkWDlkbM ty esa v?kqyu'khy gksrh gSA dFku-2 : gheksXyksfcu esa vkWDlhtu ds çfr mPp ca/qrk gksrh gSA (1) nksuksa dFku lgh gSa (2) nksuksa dFku xyr gSa (3) dFku&1 lgh gS ,oa dFku&2 xyr gS (4) dFku&1 xyr gS ,oa dFku&2 lgh gS (1)
36.
37.
R S (2) P and S (4) R and Q
+
ÅtkZ
v.kq)
ekuo esa ^P* ds lap;u ls D;k gksrk gS? (2) isf'k;ksa esa ,sB a u (1) okeurk (ckSukiu) (3) eèkqeg s (4) gSisVkbfVl A fuEu esa ls dkSu] ekuo esa mRltZu&ra=k dk Hkkx ugha gS? (2) ew=kokfguh (1) o`Dd (3) 'kqØokgd (4) ew=kekxZ fuEu esa ls dkSulh ij[kufy;ksa esa çksVhu dk ikpu ugha gksxk? isfIlu
isfIlu
fVªfIlu
fVªfIlu
+
+
+
+
HCl
{kkj
{kkj
HCl
+
+
+
+
izksVhu
izksVhu
izksVhu
izksVhu
P
Q
(1) P
R (2) P
(3)
(4)
vkSj R Q vkSj S
Space for Rough Work
8
P
(3 − dkcZu
vkSj S R vkSj Q
S
Sample Paper
Aakash National Talent Hunt Exam 2015 (Senior)
38. In which part of the alimentary canal digestion of starch begins?
38.
(1) Stomach (2) Large intestine 39.
(3) Liver (4) Buccal cavity
vkgkj uyh ds fdl Hkkx esa eaM (LVkpZ) dk ikpu vkjaHk gksrk gS? (2) cM+h vkar (1) vkek'k; (3) ;d`r (4) eq[k xqfgdk var%lzkoh xzfa Fk ^A*] ,d ekuoh; mRlthZ vax ^B* ds 'kh"kZ ij fLFkr gSA vax ^B* vkSj ^A* }kjk lzkfor gkWekZsu dh igpku djsAa
39. The endocrine gland ‘A’ is located at the top of a human excretory organ ‘B’. Identify the organ ‘B’ and the hormone secreted by ‘A’
var%lkzoh xfza Fk lzkfor gkWekuZs
vax 'B' (1)
ew = kokfguh
'A'
,sM ªhusfyu
Organ 'B'
Hormone secreted by endocrine gland 'A'
(2)
o`Dd
Fkk;jkfWDlu
(1)
Ureter
Adrenaline
(3)
o`Dd
,sM ªhusfyu
(2)
Kidneys
Thyroxine
(4)
ew = kekxZ
(3)
Kidneys
Adrenaline
(4)
Urethra
40.
}kjk
Fkk;jkfDlu W 'P' raf=kdksf'kdk
xzkgh
Thyroxine
es# jTtq 40.
Receptor
Effector
'P' neuron
'Q' neuron
dk;Zdj
Spinal cord
'Q' raf=kdksf'kdk
^P*
dh igpku djsAa
(1)
çsjd raf=kdksf'kdk
(2)
çlkfjr raf=kdksf'kdk
(3)
laons h raf=kdksf'kdk
(4)
varjkraf=kdk.kq
Identify ‘P’. (1) Motor neuron
(2) Relay neuron
(3) Sensory neuron
(4) Interneuron
41. ‘X’
vkSj ‘Y’ efLr"d esa fLFkr nks var%lzkoh xzfa Fk;ka gSAa ‘X’] gkekZus ‘Z’ dk lzko djrh gS tks euq";ksa esa o`f¼ dks fu;af=kr djrk gSA ‘X’ vkSj ‘Y’ gSa
41. ‘X’ and ‘Y’ are the two endocrine glands located in the brain. ‘X’ releases a hormone ‘Z’ which regulates growth in humans. ‘X’ and ‘Y’ are (1) X – Hypothalamus and Y – Pituitary gland
(1) X –
gk;iksFksyes l ,oa
(2) X – Thyroid gland and Y – Pineal gland
(2) X –
Fkk;jkWbM xzfa Fk ,oa
(3) X – Pituitary gland and Y – Pineal gland
(3) X –
ih;w"k xzfa Fk ,oa
Y–
fifu;y xzfa Fk
(4) X – Pituitary gland and Y – Thyroid gland
(4) X –
ih;w"k xzfa Fk ,oa
Y–
Fkk;jkWbM xzfa Fk
Space for Rough Work
9
Y– Y–
ih;w"k xzfa Fk fifu;y xzfa Fk
Aakash National Talent Hunt Exam 2015 (Senior)
Sample Paper
42. Rings of cartilage are present in the throat to
42.
(1) Absorb more oxygen from the air
xys esa mikfLFk;ksa ds oy; fdlfy, mifLFkr gksrs gS?a (1)
ok;q ls vfèkd vkWDlhtu vo'kksf"kr djus ds fy,
(2)
lkal }kjk vanj yh xbZ ok;q dks Nkuus ds fy,
(3)
ok;q ekxZ dks ladfq pr gksus ls jksdus ds fy,
(4)
vfèkd ÅtkZ mRikfnr djus ds fy,
(2) Filter the inhaled air (3) Prevent the air age from collapsing (4) Produce more energy 43. Trypsin (Trypsinogen) is secreted from (1) Pancreas
43.
(2) Stomach (3) Small intestine
fVªfIlu (fVªfIlukstu) fdlls lzkfor gksrk gS? (1)
vXU;k'k;
(2)
vkek'k;
(3)
NksVh vk¡r
(4)
;Ñr
(4) Liver 44.
44. Which of the following is the first step of photosynthesis? (1) Splitting of water molecules into hydrogen and oxygen (2) Absorption of light energy by chlorophyll molecules (3) Reduction of carbon dioxide to carbohydrates (4) Conversion of light energy into chemical energy
45.
buesa ls dkSu] çdk'kla'ys"k.k dk çFke pj.k gS? (1)
ty ds v.kqvksa dk gkbMªkt s u ,oa vkWDlhtu esa foHkDr gksuk
(2)
i.kZgfjr v.kqvksa }kjk çdk'k ÅtkZ dk vo'kks"k.k fd;k tkuk
(3)
dkcZu MkbZvkWDlkbM dk vip;u dkckZgs kbMªVs esa gksuk
(4)
çdk'k ÅtkZ dk jklk;fud ÅtkZ esa :ikarj.k gksuk
uhps n'kkZbZ xbZ lajpuk fdlds fy, mÙkjnk;h gS?
45. The structure illustrated below is responsible for
}kj&dksf'kdk
Guard cells
ja/hz ja/z Stomatal pore
gfjr yod Chloroplast
(i) Gaseous exchange (ii) Transpiration
(i)
xSlh; fofue;
(ii)
ok"iksRltZu
(iv)
Hkkstu dk ifjogu
(iii) Storage of food
(iv) Transport of food
(iii)
Hkkstu dk HkaMkj.k
(1) (ii) and (iv) only
(2) (i), (iii) and (iv)
(1)
dsoy
(ii)
vkSj (iv)
(2) (i), (iii)
vkSj (iv)
(3) (i) and (ii) only
(4) (i), (ii) and (iv)
(3)
dsoy
(i)
vkSj (ii)
(4) (i), (ii)
vkSj (iv)
Space for Rough Work
10
Sample Paper
Aakash National Talent Hunt Exam 2015 (Senior)
Hkkx - B % xf.kr
SECTION - B : MATHEMATICS 46. If , and are the zeroes of a cubic polynomial ax3 + cx + d, then (1 + ) + + is equal to
46.
;fn , vkSj ,d ?ku cgqin ax3 + cx + d, ds 'kwU;d gksa rks (1 + ) + + dk eku gksxk
(1)
2c a
(2)
2d a
(1)
2c a
(2)
2d a
(3)
d a
(4)
c a
(3)
d a
(4)
c a
47. In the given figure, area of quadrilateral ABCD is
1 cm
H
A
1 cm
1 cm
fn, x, fp=k es]a prqHkZt q
E
1 cm
C
1 cm
1 cm2 4
(4)
E 1 lsehB
1 lseh-
P
1 lseh-
O
1 (2) cm2 2
(1) 2 cm2
1 lseh-
D
1 cm
O
dk {ks=kÝQy gksxk
1 lseh-
B
1 cm
ABCD
A
1 lseh-
H
1 cm
D
(3)
47.
(1) 2
1 cm2 8
(3)
48. If y2 + 7y + 5p = 0, then the integral value of p for which the given equation does not have real roots can be
C
1 lseh-
lseh-2
1 4
lseh-2
1 lseh-
P
(2)
1 2
lseh-2
(4)
1 8
lseh-2
(1) 1
(2) 2
;fn y2 + 7y + 5p = 0] rks] p dk og iw.kkZadh; eku dkSu&lk gks ldrk gS ftlds fy, fn;s x;s lehdj.k ds ewy okLrfod ugha gksxa ?s
(3) 3
(4) –1
(1) 1
(2) 2
(3) 3
(4) –1
49. If (2
a
)
a
48.
16 , then the value of a is
49. (1) 1
(2) 2
(3) 4
(4) 16
;fn
a
)
a
16 ]
rks
a
dk eku gksxk
(1) 1
(2) 2
(3) 4
(4) 16
Space for Rough Work
11
(2
Aakash National Talent Hunt Exam 2015 (Senior) 50. In the given figure, PRCB is a square. If
Sample Paper
AQ 1 AC 3
50.
and BC = 6 cm, then the length of AP is A
P
Q
R
O
x
y
z
AQ 1 AC 3
vkSj
A
P
B C (1) 2 cm (2) 1 cm (3) 4 cm (4) 3 cm 51. An English word consists of 9 alphabets. The sum of twice the number of vowels and three times the number of consonants present in the word is equal to four more than four times the total number of vowels in the English alphabets. The product of the number of vowels and consonants present in the word is (1) 9 (2) 20 (3) 18 (4) 14 52. In the given figure, O is the centre of the circle. If x + y = 180°, then the value of z is
A
fn, x, fp=k es]a PRCB ,d oxZ gSA ;fn BC = 6 lseh-] rks AP dh yEckbZ gksxh
Q
R
B
C
(1) 2
51.
lseh(2) 1 lseh(3) 4 lseh(4) 3 lsehvaxt sz h ds ,d 'kCn esa 9 v{kj gSAa 'kCn esa mifLFkr Lojksa dh la[;k ds nksxuq s ,oa O;atuksa dh la[;k ds rhu xqus dk ;ksx] vaxt sz h o.kZekyk esa mifLFkr Lojksa dh dqy la[;k ds pkj xqus ls pkj vfèkd gSA 'kCn esa mifLFkr Lojksa vkSj O;atuksa dh la[;kvksa dk xq.kuÝQy gksxk (1) 9 (3) 18
52.
(2) 20 (4) 14
fn, x, fp=k es]a rks z dk eku gS
O
o`Ùk dk dsæa gSA ;fn
O
C A
B (1) 120° (3) 60°
(1) 120° (2) 30° (3) 60° (4) 90° 53. The ratio of the radius of the base of a cylinder to its height is 7 : 6. If the volume of the cylinder is 294 cm3, then its base diameter is (1) 1 cm (2) 14 cm (3) 7 cm (4) 12 cm
53.
z
B
(2) 30° (4) 90°
,d csyu ds vkèkkj dh f=kT;k dk mldh ÅapkbZ ls vuqikr 7 : 6 gSA ;fn csyu dk vk;ru 294 lseh-3 gks] rks mlds vkèkkj dk O;kl gksxk (1) 1 lseh(2) 14 lseh(3) 7 lseh(4) 12 lseh-
Space for Rough Work
12
C
x
y
x + y = 180°]
Sample Paper
Aakash National Talent Hunt Exam 2015 (Senior)
54. If the product of HCF and LCM of two natural numbers is 378000, then which of the following can be their HCF? (1) 66
(2) 130
(3) 34
(4) 20
54.
55.
55. In the given figure, the length of AD is
;fn nks çkÑr la [ ;kvks a ds egÙke lekiorZ d vkS j y?kqÙke lekioR;Z dk xq.kuÝQy 378000 gS] rks fuEu esa ls dkSu mudk egÙke lekiorZd gks ldrk gS? (1) 66
(2) 130
(3) 34
(4) 20
fn, x, fp=k es]a
AD
dh yEckbZ gS A
A
8 lseh-
8 cm C
56.
C
B
24 cm
D
26 lseh-
D
26 cm
B
24 lseh-
(1) 6 cm
(2) 7 cm
(1) 6
lseh-
(2) 7
lseh-
(3) 4 cm
(4) 5 cm
(3) 4
lseh-
(4) 5
lseh-
56.
2 3 can be expressed as
1
(1) 2
(3)
3
1 3 2
dks fuEu esa ls fdlds }kjk O;Dr fd;k tk
ldrk gS? 1
(2) 3
(4)
2 3
1
(1) 2
2
3 1
(3)
2
57.
57. If the side x of a cube becomes 11 times of itself, then its volume increases by
3
1 3 2
1
(2) 3
(4)
2
3 1 2
;fn fdlh ?ku dh Hkqtk x] Lo;a dh 11 xquh gks tk, rks mldk vk;ru c<+ dj fdruk gks tk,xk?
(1) 1330x3
(2) 1331x3
(1) 1330x3
(2) 1331x3
(3) 1321x3
(4) 1320x3
(3) 1321x3
(4) 1320x3
58.
58. If 5 is a root of the equation 2x2 – 6x – 5a = 0, then the value of a2 – 2a is
;fn lehdj.k 2x2 – 6x – 5a = 0 dk ,d ewy a2 – 2a dk eku gksxk
(1) 24
(2) 12
(1) 24
(2) 12
(3) 14
(4) 8
(3) 14
(4) 8
Space for Rough Work
13
5
gS rks
Aakash National Talent Hunt Exam 2015 (Senior)
Sample Paper
59. In the given figure, AB = AC. If P, Q, T and H are the midpoints of AB, AC, BR and CR respectively, then TH can be equal to A
59.
fn, x, fp=k es]a AB = AC- ;fn P, Q, T vkSj H Øe'k% vkSj CR ds eè;fcanq gks]a rks TH dk eku fdlds cjkcj gks ldrk gS?
AB, AC, BR
A
60° P
Q
R H
T
B
60° P
C
AC (2) 3
AB (1) 4
AC AB (2) 3 4 (3) AP (4) PC 60. ;fn p(x) = ax3 + bx2 + cx + d ,d cgqin gks vkSj a + b + c + d = 0 gks] rks fuEu esa ls dkSu p(x) dk xq.ku[kaM gksxk? (1) x + 1 (2) x – 1 (4) x (3) x2 – 1 61. ;fn PQRS ,d leprqHkZqt gS] P Q gS vkSj O
mlds fod.kksaZ dk çfrPNsnu fcanq gS rks fuEukafdr esa ls dkSu lnSo vlR; gksxk?
PR 2 62. In the given figure, QP || BC and PR || CD. If AQ = 3 cm, QB = 2 cm and RD = 5 cm, then the length of AR is A
(4) QO =
Q B
62.
(1) PR QS
(2) PO = RO
(3) PSO = RSO
(4) QO =
A
Q D
B
C (1) 7 cm (3) 6 cm
PR 2 PR || CD -
fn, x, fp=k es a ] QP || BC vkS j AQ = 3 lseh-] QB = 2 lseh-] vkSj RD = dh yEckbZ gS
R P
C
(1)
(3) AP (4) PC 3 2 60. If p(x) = ax + bx + cx + d is a polynomial and a + b + c + d = 0, then which of the following must be a factor of p(x)? (1) x + 1 (2) x – 1 2 (3) x – 1 (4) x 61. If PQRS is a rhombus, P Q and O is the point of intersection of its diagonals, then which of the following is always false? (1) PR QS (2) PO = RO (3) PSO = RSO
H
T
B
Q
R
R P
D
C
(2) 7.5 cm (4) 6.5 cm
(1) 7 (3) 6 Space for Rough Work
14
lsehlseh-
(2) 7.5 (4) 6.5
lsehlseh-
5
lseh-] rks
;fn AR
Sample Paper
Aakash National Talent Hunt Exam 2015 (Senior)
63. For the given system of equations 3x – 4y = 5 and 5x + by = c to be inconsistent, one pair of values of b and c can be (1) b
63.
20 25 and c 3 3
3x – 4y = 5
fn, x, lehdj.k fudk; c ds vlaxr gksus ds fy, gks ldrk gS (1) b
20 3
vkSj
c
b
vkSj
c
,oa 5x $ by = ds ekuksa dk ,d ;qXe
25 3
(2) b = – 6.4 and c = – 20 (2) b = – 6.4
vkSj c = – 20
(3) b = 6.4 and c = 19 (3) b = 6.4 20 and c = –19 (4) b 3
(4) b
64. If three numbers are consecutive positive integers and five times the square of the largest number is greater than two times the sum of the squares of the other two numbers by 75, then the sum of the smallest and the largest of these numbers is (1) 12
(2) 9
(3) 8
(4) 10
65. If
(1)
64.
3 pq 1 and 1 , then 2p is equal to pq 8
13 7
(3) 10
65.
(2) 11
66. Which of the following numbers will completely divide 261 + 262 + 263 + 264? (1) 100
(2) 10
(3) 27
(4) 17
66.
67. The sum of all the zeroes of the polynomial (y + 2)(y – 3)(y2 – 1) is
67.
20 3
vkSj c = –19
;fn rhu la[;k,¡ Øekxr èkukRed iw.kkZd a gSa vkSj lcls cM+h la[;k ds oxZ dk ik¡p xquk] vU; nks la[;kvksa ds oxksaZ ds ;ksx ds nks xqus ls 75 vfèkd gS rks muesa ls lcls NksVh vkSj lcls cM+h la[;k dk ;ksx gksxk (1) 12
(2) 9
(3) 8
(4) 10 3
;fn p q (1)
(4) 7
vkSj c = 19
1
vkSj
pq 1, 8
13 7
rks
dk eku gksxk
(2) 11
(3) 10
(4) 7
fuEu esa ls dkSu&lh la[;k iw.kZr% foHkkftr djsxh?
261 + 262 + 263 + 264
(1) 100
(2) 10
(3) 27
(4) 17
cgqin
(y + 2)(y – 3)(y2 – 1)
(2) –1
(1) 0
(2) –1
(3) 1
(4) 6
(3) 1
(4) 6
Space for Rough Work
dks
ds lHkh 'kwU;dksa dk ;ksx gksxk
(1) 0
15
2p
Aakash National Talent Hunt Exam 2015 (Senior)
Sample Paper
68. A rectangular tank, 50 cm long and 30 cm wide, contains water upto a height of 9 cm. A box of dimensions 25 cm × 25 cm × 20 cm is now placed in the tank so that its square face rests on the bottom of the tank. The quantity of water (in L) that must be poured into the tank in order to just cover the box is (1) 0.4
(2) 16.5
(3) 12.5
(4) 4
lseh- yach vkSj 30 lseh- pkSMh+ ,d vk;rkdkj Vadh esa 9 lseh- dh ÅapkbZ rd ikuh Hkjk gSA 25 lseh- × 25 lseh× 20 lseh- foek okyk ,d cDlk Vadh esa bl çdkj j[kk tkrk gS fd mldk oxkZdkj i`"B Vadh ds ry ij fLFkj gks tkrk gSA cDls dks iwjh rjg ek=k Mqcksus ds fy, Vadh esa ikuh dh fdruh ek=kk (yhVj es)a mM+y s h tkuh pkfg,?
68. 50
69.
69. In the given figure, ABCD is a square of area 16 cm2. If O is the centre of the circle, then the length of OP is
D
(1) 0.4
(2) 16.5
(3) 12.5
(4) 4
fn, x, fp=k esa, 16 lseh-2 gSA ;fn gksxh
C
C
O
P
B
A
8 cm 11
(1) 4 cm
(2)
(3) 2 cm
(4) 3 cm
(1) 4
P
B (2)
lseh-
8 11
lseh-
(3) 2
QR RP and O is the 70. In the given figure, if PQ centre of the circle, then the value of x is
70.
lseh(4) 3 lseh QR RP vkSj fn, x, fp=k es]a ;fn PQ dsæa gS] rks x dk eku gksxk
P
O
O
,d oxZ gS ftldk {ks=kÝQy o`Ùk dk dsæa gks rks OP dh yEckbZ
D
O
A
ABCD
P
x
Q
O R
x
Q
R
(1) 30°
(2) 60°
(1) 30°
(2) 60°
(3) 45°
(4) 15°
(3) 45°
(4) 15°
Space for Rough Work
16
O
o`Ùk dk
Sample Paper
Aakash National Talent Hunt Exam 2015 (Senior)
Hkkx - C % ekufld ;ksX;rk
SECTION - C : MENTAL ABILITY 71. Choose the option from given alternatives that best fits the empty space.
(1)
(2)
(3)
(4)
71.
72. In a party, there are 15 . Each shakes hand with one another. Total numbers of the handshakes is (1) 120
(2) 105
(3) 90
(4) 15
72.
73.
73. If x3 – y3 = (x – y) (x2 + y2 – xy) and x3 + y3 = (x + y)(x2 + y2 + xy), then (23 + 33) (33 – 23)
fn, x, fodYiksa esa ls og fodYi pqusa tks fjDr LFkku ds fy, lokZfèkd mi;qDr gSA
(1)
(2)
(3)
(4)
,d ikVhZ esa 15 O;fDr gSaA çR;sd O;fDr 'ks"k O;fDr;ksa ls gkFk feykrk gSA dqy fdruh ckj gkFk feyk, tk,axs? (1) 120
(2) 105
(3) 90
(4) 15
;fn x3 – y3 = (x – y) (x2 + y2 – xy) vkSj x3 + y3 = (x + y)(x2 + y2 + xy), rks (23 + 33) (33 – 23) 35 19
(1)
95 7
(2)
35 19
(1)
95 7
(2)
(3)
19 35
(4) 125
(3)
19 35
(4) 125
74.
74. Find the odd one out.
fo"ke fodYi pquAas
(1) (16, 30, 34)
(2) (11, 40, 41)
(1) (16, 30, 34)
(2) (11, 40, 41)
(3) (20, 21, 29)
(4) (11, 60, 61)
(3) (20, 21, 29)
(4) (11, 60, 61)
Space for Rough Work
17
Aakash National Talent Hunt Exam 2015 (Senior)
Sample Paper
75. 42 : 16 :: 32 : 9 :: 25 : ?
75. 42 : 16 :: 32 : 9 :: 25 : ?
(1) 42
(2) 32
(1) 42
(2) 32
(3) 52
(4) 25
(3) 52
(4) 25
76.
76. If rank of a student from last is 17th and 15th from beginning, then how many students are there?
;fn fdlh fo|kFkhZ dk LFkku var ls 17oka vkSj vkjaHk ls gS] rks fo|kfFkZ;ksa dh dqy la[;k fdruh gS?
(1) 31
(2) 32
(1) 31
(2) 32
(3) 33
(4) 17
(3) 33
(4) 17
77.
77. Which digit will be the next in the given sequence?
15oka
fn;s x;s vuqØe esa vxyk vad D;k gksxk? 3145955?
3145955? (1) 4
(2) 5
(3) 1
(4) 9
78. ‘34’ will be coded as (2) 3
(3) 7
(4) 2 79.
79. Choose the alternative which is different from the others. (1) Einstein
(2) Niels Bohr
(3) CV Raman
(4) Wright Brothers
(2) 5
(3) 1
(4) 9
funZs'k (ç- 78) : fdlh Hkk"kk esa] '45' dks dwV:i esa 3, '35' dks dwV:i esa 5, ^6* dks dwV:i (dksM) esa 2 fy[kk tkrk gSA 78. '34' dks dwV:i esa D;k fy[kk tk,xk?
Directions (Q.78) : In a certain language, ‘45’ is coded as 3, ‘35’ is coded as 5, ‘6’ is coded as 2.
(1) 4
(1) 4
(1) 4
(2) 3
(3) 7
(4) 2
og fodYi pquas tks nwljs fodYiksa ls vyx gksA (1) vkbaLVhu (2) uhYl cksj (3)
lh-oh- jeu (4) jkbV cznlZ funZs'k (ç-80) % uhps n'kkZ, fp=k ds vuqlkj] ,d LED çn'kZ ds lkr [kaMksa dk mi;ksx djrs gq,] 0 ls 9 rd fdlh Hkh vad dks fMftVy :i esa n'kkZ;k tk ldrk gSA
Directions (Q.80) : Any number from 0-9 can be displayed digitally using seven-segments on an LED display as shown below.
p
p u t
v
u
q
v
r
t
r
q
s
s 80. Due to poor power supply, any two segments are not working. Which of the following numbers can be displayed properly?
80.
[kjkc fo|qrkiwfrZ ds dkj.k] dksbZ nks [kaM dk;Z ugha dj jgs gSaA buesa ls dkSu&lk vad lgh
(1) 8
(2) 9
(1) 8
(2) 9
(3) 6
(4) 4
(3) 6
(4) 4
Space for Rough Work
18
Sample Paper
Aakash National Talent Hunt Exam 2015 (Senior)
81. Choose the odd one out.
81.
fo"ke fodYi dk p;u dhft,A
(1)
(2)
(1)
(2)
(3)
(4)
(3)
(4)
funZs'k (ç- 82) % fp=kksa ds igys vkSj nwljs ;qXe ds chp ,d lacaèk gSA fuEu fodYiksa esa ls dkSu&lk fodYi fjDr LFkku ds fy, mi;qDr gS\
#
#
–
+
?
::
82.
?
::
(2)
–
–
(3)
–
–
(1)
(2)
(4)
(2)
(3)
(4)
(4)
83.
83. If ‘cellphones’ and ‘TV’ are represented by two small circles and ‘coloured’ is represented by a big circle, then which figure best represents the logical relationship between the three entities?
(1)
–
–
–
– (3)
#
(1)
+
#
82.
+
–
+
Directions (Q.82) : The first and the second pair of figures bear a certain relationship among them. Find the missing one.
;fn ^eksckbZy ÝQksu* vkSj ^Vhoh* dks nks NksVs o`Ùkksa ls fu:fir fd;k tk, vkSj ^jaxhu* dks cM+s o`Ùk ls fu:fir fd;k tk, rks dkSu&lk fp=k bu rhu oLrqvksa ds chp ds rkfdZd lacèa k dks loZJ"s B
(1)
(2)
(3)
(4)
Space for Rough Work
19
Aakash National Talent Hunt Exam 2015 (Senior)
Sample Paper
Directions (Q.84 & Q.85) : Read the following information carefully and answer the questions.
Z i<+as funZs'k (ç- 84 vkSj ç- 85) % fuEukafdr tkudkjh è;kuiwod vkSj ç'uksa ds mÙkj nsAa ,d ifjokj ds ik¡p lnL; Hkkstu dh est ij cSBs gSaA L, M dh ek¡ gSA M, N dh cgu gS; N, O dk iq=k gSA P, L dh ,dek=k iq=koèkw gSA 84. P dk M ls D;k lacèa k gS? (1) cgu (2) iq=kh (3) HkkHkh (4) iq=koèkw 85. O, M dk@dh _______ gS? (2) cgu (1) HkkbZ (3) firk (4) pkpk 86. fodYiksa esa ls og fp=k [kkstsa tks nh xbZ Ük`a[kyk dks iw.kZ djrk gSA
Five of a family are sitting on a dining table. L is the mother of M. M is the sister of N, who is the son of O. P is the only daughter-in-law of L. 84. How is P related to M? (1) Sister (2) Daughter (3) Sister-in-law (4) Daughter-in-law 85. O is M's _______ ? (1) Brother
(2) Sister
(3) Father
(4) Uncle
86. Find the figure from the alternatives that completes the given series.
? ?
(1)
(3)
(2)
(4)
87. How many minimum number of line segments are required to make the figure given below?
(1) 13
(2) 12
(3) 11
(4) 10
87.
(1)
(2)
(3)
(4)
uhps fn;k x;k fp=k cukus ds fy, U;wure fdrus js[kk&[kaMksa dh vko';drk gS?
(1) 13 (3) 11 Space for Rough Work
20
(2) 12 (4) 10
Sample Paper
Aakash National Talent Hunt Exam 2015 (Senior)
88. From the letters given below, which one, when turned upside down and then reflected in a mirror, will represent the same letter? (1) L
(2) B
(3) C
(4) N
88.
uhps fn, x, v{kjksa esa ls] fdls myVk djds niZ.k esa çfrfcafcr djus ij] ogh v{kj fn[ksxk? (1) L
(2) B
(3) C
(4) N
funZs'k (ç-89 vkSj ç-90) % ç'uksa ds mÙkj nsus ds fy, fuEukafdr ikbZ&pkVZ dk vè;;u djsaA
Directions (Q.89 & Q.90) : Study the following pie-chart to answer the questions.
fgUnh
Hindi (260)
(260)
vaxt sz h
English Spanish (111) (449) e enc Sci 0) (7 Maths (210)
(111)
LiSfu'k (449)
foKku 0) (7
xf.kr (210)
fo"k; fof'k"V esa fo'ks"kKrk j[kus okys fo|kfFkZ;ksa dh la[;k
Number of students specializing in a specific subject
89.
(1) 200%
(2) 300%
xf.kr esa fo'ks"kKrk j[kus okys fo|kfFkZ;ksa dh la[;k] foKku esa fo'ks"kKrk j[kus okys fo|kfFkZ;ksa dh la[;k ls fdrus çfr'kr vfèkd gS?
(3) 400%
(4) 350%
(1) 200%
(2) 300%
(3) 400%
(4) 350%
89. By what percentage, the number of students specialising in Maths is more than that in Science?
90. The difference of the students specializing in Hindi and Maths is (1)
(2)
(3)
90.
1 of Spanish 7 2 of English 3
5 of Science 7
(4) Less than that of Spanish but more than that of English
fgUnh vkSj xf.kr esa fo'ks"kKrk j[kus okys fo|kfFkZ;ksa dk varj gS (1)
LiSfu'k dk
1 7
(2)
vaxzsth dk
2 3
(3)
foKku dk
5 7
(4)
LiSfu'k esa fo'ks"kKrk j[kus okys fo|kfFkZ;ksa ls de ysfdu vaxt sz h esa fo'ks"kKrk j[kus okys fo|kfFkZ;ksa ls vfèkd
Space for Rough Work
Note : Answer key of Sample Paper is available at www.aakash.ac.in & www.anthe.in
21
Aakash National Talent Hunt Exam 2015 (Senior)
Aakash National Talent Hunt Exam 2015 (Senior) Sample Paper Time : 2 Hours MM : 360 SECTION - A : SCIENCE 1.
Hkkx - A % foKku
Four bulbs, each of rating (100 W, 220 V) and connected in parallel across a voltage supply of 220 V, are operated for five hours daily. If all the bulbs are replaced by LEDs of rating (8 W, 220 V), how many units of electrical energy will be saved every month (30 days)?
1.
(1) 55.2 units (2) 60 units
pkj cYc] ftuesa ls çR;sd ij (100 W] 220 V) vafdr gS] dks 220 V dh oksYVrk&vkiwfrZ ls lekarj Øe esa tksMk+ x;k gS ,oa bUgsa çfrfnu ik¡p ?kaVs tyk;k tkrk gSA ;fn lHkh cYcksa ds LFkku ij LEDs] ftu ij (8 W] 220 V) vafdr gS] yxk fn, tk,a rks çfr ekg (30 fnu) esa fdruh fo|qr ÅtkZ dh r gksxh? (1) 55.2
;wfuV
(2) 60
;wfuV
(4) 32
;wfuV
(3) 4.8 units (3) 4.8
(4) 32 units 2.
2.
In the circuit given below, the potential difference across the arm PQ will be
P
6
;wfuV
uhps fn, x, ifjiFk es]a Hkqtk gksxk
PQ
P
Q
Q
6
6
5
5
24 V
24 V
3.
6
ds fljksa ij foHkokarj
(1) 4.5 V
(2) 12 V
(3) 24 V
(4) 9 V
(1) 4.5 V
(2) 12 V
(3) 24 V
(4) 9 V
A real object is kept at a distance of 2f, first in front of a convex lens and then in front of a concave mirror, each having focal length f. The ratio of magnifications produced by them will be
,d okLrfod oLrq dks 2f dh nwjh ij] igys ,d mÙky ysla ds lEeq[k vkSj fÝQj ,d vory niZ.k ds lEeq[k j[kk tkrk gS] ftuesa çR;sd dh ÝQksdl nwjh f gSA buds }kjk mRiUu vkoèkZuksa dk vuqikr gksxk
(1) 1 : 1
(2) 1 : –1
(1) 1 : 1
(2) 1 : –1
(3) 2 : 1
(4) 2 : –1
(3) 2 : 1
(4) 2 : –1
3.
Space for Rough Work
1
Aakash National Talent Hunt Exam 2015 (Senior) 4.
Sample Paper 4.
A rectangular glass slab having refractive index 3 , is silvered at one surface as shown in the figure. If the angle of refraction of the light ray at the interface AB is 30°, then the measure of angle x will be
fn;s x, fp=k ds vuqlkj ,d vk;rkdkj dk¡p dh flYyh dh ,d lrg dks jtfrr fd;k x;k gS vkS j bldk viorZukad 3 gS] ;fn varjki`"B AB ij çdk'k fdj.k dk viorZu dks.k 30° gks] rks dks.k x dk eki gksxh
Light ray x
A
ok;q x
30° Silvered
5.
izdk'k fdj.k
A
AIR
30°
B
B
jtfrr
(1) 45°
(2) 30°
(3) 60°
(4) 90°
The effective focal length of two lenses in with each other, having focal lengths f1 and f2, is given by
5.
(1) 45°
(2) 30°
(3) 60°
(4) 90°
,d&nwljs ds laidZ esa j[ks f1 rFkk ysla ksa dh çHkkoh ÝQksdl nwjh gksxh
f2
ÝQksdl nwfj;ksa okys nks
(1) f1 + f2 (1) f1 + f2
f1 f2 (2) f f 12
(2)
f1f2 (3) f f 1 2
f1f2 (3) f f 1 2
f1 (4) f 2
6.
f1 f2 f1f2
f1 (4) f 2
Same net force is applied on two different objects of masses m and 3m. If x and y are the magnitudes of
6.
x
m
rFkk 3m æO;eku okyh nks fHkÂ&fHk oLrqvksa ij leku usV cy yxk;k tkrk gSA ;fn buds Roj.k ds ifjek.k Øe'k%
their acceleration respectively, then the ratio y will be
x
(1) 1 : 3
(2) 1 : 1
(1) 1 : 3
(2) 1 : 1
(3) 3 : 1
(4) 9 : 1
(3) 3 : 1
(4) 9 : 1
vkSj
Space for Rough Work
2
y
gks]a rks budk vuqikr
x y
gksxk
Sample Paper 7.
Aakash National Talent Hunt Exam 2015 (Senior)
Match the following and choose the appropriate option. (Symbols have their usual meanings) Column (A) a.
7.
fuEukafdr dk feyku djsa vkSj mi;qDr fodYi pquAas (çrhdksa ds vFkZ ogh gSa tks lkekU;r% gksrs gS)a
Column (B)
dkWye
v
(i) Particle undergoing uniform positive acceleration
a.
(A)
dkWye (B)
v
(i)
,dleku èkukRed Roj.k ls xqtj+ rh gqbZ oLrq
(ii)
oLrq fojkekoLFkk esa gS
(iii)
oLrq fu;r eanu ls xqtj+ jgh gS
(iv)
oLrq ,dleku osx ls xfr dj jgh gS
t t b.
v
(ii) Particle is at rest
b.
v
t c.
s
t (iii) Particle undergoing constant retardation
c.
s
t d.
v
t (iv) Particle moving with uniform velocity
d.
t
t (1) a(ii), b(i), c(iv), d(iii) (2) a(iv), b(i), c(ii), d(iii)
(1) a(ii), b(i), c(iv), d(iii) (2) a(iv), b(i), c(ii), d(iii)
(3) a(ii), b(iv), c(iii), d(i) (4) a(iv), b(ii), c(iii), d(i)
(3) a(ii), b(iv), c(iii), d(i) (4) a(iv), b(ii), c(iii), d(i) 8.
v
8.
A boy runs on a circular track of radius 20 m and stops after covering one sixth of the track. The magnitude of his displacement will be (1) 20 m
(2) 20 m
(3) 40 m
(4)
20 m 3
,d yM+dk 20 eh- f=kT;k okys o`Ùkkdkj iFk ij nkSMr+ k gS vkSj iFk ds NBosa Hkkx rd nkSM+ dj #d tkrk gSA mlds foLFkkiu dk ifjek.k gksxk (1) 20
eh-
(2) 20
(3) 40
eh-
(4)
Space for Rough Work
3
eh-
20 3
eh-
Aakash National Talent Hunt Exam 2015 (Senior) 9.
Sample Paper
A pistol of mass 2 kg fires a bullet of mass 50 g. 1 The bullet strikes a stationary block of mass kg. 2 If the block, with the bullet embedded in it, moves with a velocity of 4 m/s, the recoil velocity of the pistol will be (Ignore friction and air resistance) (1) –1.10 m/s
(2) –0.5 m/s
(3) –0.55 m/s
(4) –1 m/s
9.
(2) 40 s
(3) 45 s
(4) 15 s
10.
11. Two copper wires A and B have their cross sectional areas in the ratio 1 : 2 and lengths in the ratio 2 : 1 respectively. The ratio of the resistivities of A and B will be (1) 1 : 4
(2) 8 : 1
(3) 4 : 1
(4) 1 : 1
11.
(2) 8 : 15
(3) 5 : 6
(4) 6 : 5
12.
Smooth surface
;fn nks fiaMksa ds æO;ekuksa ,oa osxksa ds vuqikr Øe'k% 2 : 3 vkSj 4 : 5 gksa rks muds laoxs ksa ds ifjek.k dk vuqikr gS
13.
(2) 8 : 15 (4) 6 : 5
tSlk fd fp=k esa fn[kk;k x;k gS] vkjaHk esa {kSfrt osx v ls xfreku 4 fdxzk- dh ,d xsna ] nhokj ls Vdjkrh gS vkSj viuh vkjafHkd pky dh 75% pky ls okil ykSVrh gSA blds ckn og 6 fdxzk- dh xsna ls lhèks Vdjkrh gS vkSj mlls fpid tkrh gSA ;fn nksuksa xsna as 6 eh-@ls- dh mHk;fu"B pky ls pyuk vkjaHk dj nsrh gS]a rks v dk eku gS
Wall 4 kg
xzk- æO;eku okyh
(2) 8 : 1 (4) 1 : 1
(1) 15 : 8 (3) 5 : 6
13. As shown in the figure, a 4 kg ball initially moving with horizontal velocity v strikes the wall and rebounds with 75% of its initial speed. It then undergoes head on collision with the 6 kg ball and sticks to it. If both start moving with common speed of 6 m/s, then the value of v is
6 kg (At rest)
50
fdxzk- æO;eku okys ,d fLFkj ,d xksyh nkxrh gSA xksyh CykWd ls Vdjkrh gSA ;fn xksyh dks lekfgr fd;s gq, ;g CykWd] 4 eh-@ls- ds osx ls xfr djs] rks fiLrkSy dk çfr{ksi osx D;k gksxk? (?k"kZ.k vkSj ok;q dk çfrjksèk ux.; eku ys)a (1) –1.10 eh-@ls(2) –0.5 eh-@ls(3) –0.55 eh-@ls(4) –1 eh-@ls40 fdxzk- æO;eku okyh ,d yM+dh 15 lhf<+;ks okyk ,d t+huk p<+rh gSA çR;sd lh<+h dh ÅapkbZ 20 lseh- gSA ;fn mlus t+huk p<+us esa 80 W 'kfDr dk mi;ksx fd;k gks rks mlds }kjk fy;k x;k le; gksxk [g = 10 eh-@ls-2 yhft,] (1) vkèkk feuV (2) 40 lsd.M (3) 45 lsd.M (4) 15 lsd.M rkacs ds nks rkjksa dh vuqçLFk dkV ds {ks=kÝQy 1 : 2 ds vuqikr esa gSa rFkk mudh yackbZ Øe'k% 2 : 1 ds vuqikr esa gSAa A vkSj B dh çfrjksèkdrkvksa dk vuqikr gksxk (1) 1 : 4 (3) 4 : 1
12. If ratios of masses and velocities of two bodies are 2 : 3 and 4 : 5 respectively, then the ratio of magnitude of their momenta is (1) 15 : 8
fdxzk- æO;eku okyh ,d fiLrkSy 1 2
10. A girl of mass 40 kg takes a staircase of 15 steps, each of height 20 cm. If she utilizes a power of 80 W to climb the staircase, the time taken by her is [Take g = 10 m/s2] (1) Half a minute
2
6 fdxzk-
(fojke ij)
v
nhokj 4 fdxzk-
fpduh lrg
(1) 20 m/s
(2) 15 m/s
(1) 20
(2) 15
(3) 60 m/s
(4) 12 m/s
(3)
(4)
Space for Rough Work
4
eh-@ls60 eh-@ls-
v
eh-@ls12 eh-@ls-
Sample Paper
Aakash National Talent Hunt Exam 2015 (Senior)
14. Choose the pair of quantities having same unit.
14.
(1) Power and energy (2) Current and potential difference (3) Work and energy
15.
(4) Magnification and power 15. When a ball is thrown vertically upwards, then at the highest point (1) Acceleration is zero but velocity is non-zero (2) Acceleration is non-zero but velocity is zero (3) Both acceleration and velocity are zero 16.
(4) Both acceleration and velocity are non-zero 16. A colourless and odourless gas P is evolved during thermal decomposition of lead nitrate. P reacts with the main component of biogas to form compounds Q and R. P, Q and R respectively are (1) N2O, O2 and H2O
(2) CO2, O2 and Cl2
(3) O2, CO2 and H2O
(4) O2, CO2 and H2 17.
17. The number of C – H bonds present in propanol is (1) 8
(2) 9
(3) 10
(4) 7
(1) 8 (3) 10 18.
18. Identify which of the following statements is/are true and choose the appropriate option. (i) Unsaturated hydrocarbons generally burn with a sooty flame. (ii) The possible structural isomers for butane are three. (1) Both (i) & (ii) are correct (2) Both (i) & (ii) are incorrect (3) Only (i) is correct (4) Only (ii) is correct
19.
19. Which of the following gases is evolved at cathode during the electrolysis of brine? (1) Cl2
(2) O2
(3) H2
(4) NO2
mu jkf'k;ksa ds ;qXe dks pquas ftlds ek=kd leku gSAa (1) 'kfDr ,oa ÅtkZ (2) fo|qrèkkjk ,oa foHkokarj (3) dk;Z ,oa ÅtkZ (4) vkoèkZu ,oa 'kfDr tc fdlh xsna dks ÅèoZr% Åij dh vksj ÝQsd a k tkrk gS rks vf/dre Å¡pkbZ ij (1) Roj.k 'kwU; gksrk gS fdarq osx gksrk gS (2) Roj.k gksrk gS fdarq osx 'kwU; gksrk gS (3) Roj.k vkSj osx] nksuksa 'kwU; gksrs gSa (4) Roj.k vkSj osx] nksuksa gksrs gSa ysM ukbVªsV ds rkih; vi?kVu ds nkSjku ,d jaxghu o xaèkghu xSl P mRiUu gksrh gSA P] ck;ksxlS ds eq[; vo;o ds lkFk vfHkfØ;k djds ;kSfxd Q vkSj R cukrh gSA P, Q vkSj R Øe'k% gSa (1) N2O, O2 vkSj H2O (2) CO2, O2 vkSj Cl2 (3) O2, CO2 vkSj H2O (4) O2, CO2 vkSj H2 çksius kWy esa mifLFkr C – H vkcaèkksa dh la[;k gS
igpkusa fd fuEu esa ls dkSu lk@ls dFku lR; gS@gSa vkSj mi;qDr fodYi pquAas (i) vlarI` r gkbMªkd s kcZu lkekU;r% /q,¡ a okyh Tokyk ds lkFk tyrs gSAa (ii) C;wVu s ds rhu lajpukRed leko;o laHko gSAa (1) (i) vkSj (ii)] nksuksa lgh gSAa (2) (i) vkSj (ii)] nksuksa xyr gSAa (3) dsoy (i) lgh gSA (4) dsoy (ii) lgh gSA czkbZu ds fo|qr vi?kVu ds nkSjku ½.kkxz (dSFkksM) ij buesa ls dkSu&lh xSl eqDr gksrh gS? (1) Cl2 (3) H2
Space for Rough Work
5
(2) 9 (4) 7
(2) O2 (4) NO2
Aakash National Talent Hunt Exam 2015 (Senior)
Sample Paper
20. On thermal decomposition of CaCO3, a gas ‘X’ is obtained. The aqueous solution of X
20. CaCO3
ds rkih; vi?kVu ij] xSl ^X* çkIr gksrh gSA ^X* dk tyh; foy;u (1) yky fyV~el dks uhyk dj nsxk (2) ÝQhukWyÝFksfyu ds jax dks ifjo£rr ugha djrk (3) gYnh ds lkFk yky jax nsxk (4) esfFky vkWjt as ds lkFk uhyk jax nsxk
(1) Turns red litmus blue (2) Does not change the colour of phenolphthalein (3) Gives red colour with turmeric (4) Gives blue colour with methyl orange 21. aMnO2 + bHCl cMnCl2 + dH2O + eCl2 pC2H5OH + qO2 rCO2 + sH2O
21. aMnO2 + bHCl cMnCl2 + dH2O + eCl2 pC2H5OH + qO2 rCO2 + sH2O
a, c, q and r in the above chemical equations respectively are (1) 2, 4, 2 and 1
(2) 1, 1, 3 and 2
(3) 4, 2, 2 and 1
(4) 2, 1, 4 and 2
22. The number of moles of ammonia that have the same mass as that of 3 moles of carbon dioxide is (1) 0.19 mol
(2) 2.58 mol
(3) 9.04 mol
(4) 7.76 mol
22.
23. Two elements ‘A’ and ‘B’ have same number of electrons in their valence shells. The number of electrons present in the second last shell of atom ‘A’ is two times the number of electrons present in the second shell of atom ‘B’. A and B respectively are
23.
(1) Aluminium and phosphorus (2) Magnesium and calcium (3) Silicon and carbon (4) Oxygen and sulphur 24. Match the following and choose the correct option. Element
24.
Valency
a. C
(i) 3
b. B
(ii) 4
c. K
(iii) 2
d. Mg
(iv) 1
mijksDr jklk;fud lehdj.kksa es]a a, c, q vkSj r Øe'k% gSa (1) 2, 4, 2 vkSj 1 (2) 1, 1, 3 vkSj 2 (3) 4, 2, 2 vkSj 1 (4) 2, 1, 4 vkSj 2 fdrus eksy veksfu;k dk æO;eku] 3 eksy dkcZu MkbZvkWDlkbM ds nzO;eku ds cjkcj gksxk? (1) 0.19 eksy (2) 2.58 eksy (3) 9.04 eksy (4) 7.76 eksy nks rRoksa 'A' rFkk 'B' ds la;ksth dks'k esa bysDVªkuW ksa dh la[;k leku gSA ijek.kq 'A' ds f}rh; vafre dks'k esa mifLFkr bysDVªkuW ksa dh la[;k] ijek.kq 'B' ds f}rh; dks'k esa mifLFkr bysDVªkuW ksa dh la[;k dh nksxuq h gSA A vkSj B Øe'k% gSa (1) ,Y;wfefu;e ,oa ÝQkWLÝQksjl (2) eSXuhf'k;e ,oa dSfY'k;e (3) flfydu ,oa dkcZu (4) vkWDlhtu ,oa lYÝQj fuEukafdr dk feyku djsa vkSj lgh fodYi pquAas rRo la;kstdrk a. b. c. d. (1) (3)
(1) a(ii), b(iv), c(i), d(iii) (2) a(ii), b(i), c(iii), d(iv) (3) a(ii), b(i), c(iv), d(iii) (4) a(ii), b(iii), c(i), d(iv)
C (i) B (ii) K (iii) Mg (iv) a(ii), b(iv), c(i), d(iii) (2) a(ii), b(i), c(iv), d(iii) (4)
25. CH4 ds 48.176 × 1023
25. Mass of 48.176 × 1023 molecules of CH4 will be (1) 68 g
(2) 92 g
(1) 68
(3) 128 g
(4) 188 g
(3) Space for Rough Work
6
xzk128 xzk-
3 4 2 1 a(ii), b(i), c(iii), d(iv) a(ii), b(iii), c(i), d(iv)
v.kqvksa dk æO;eku gksxk (2) 92 xzk(4) 188 xzk-
Sample Paper
Aakash National Talent Hunt Exam 2015 (Senior)
26. Dehydration of ethanol results in the formation of a compound ‘X’ along with water. Hydrogenation of ‘X’ forms another compound ‘Y’. ‘X’ and ‘Y’ respectively are
26.
(1) Ethanoic acid and methane (2) Ethene and ethane (3) Ethanol and ethane
27.
(4) Ethane and methane 27. Which of the following contains the maximum number of atoms? (1) 48 g of helium (2) 3.011 × 1021 molecules of ammonia (3) 48 molecules of methane
28.
(4) 3 mol of oxygen 28. Which of the following pairs of elements have same number of valence electrons? (1) Sodium and magnesium (2) Carbon and nitrogen
29.
(3) Oxygen and sulphur (4) Potassium and calcium 29. On thermal decomposition of baking soda, salt ‘X’ is obtained. The aqueous solution of ‘X’ will be (1) Acidic
(2) Basic
(3) Amphoteric
(4) Neutral
30.
30. Compound A on reacting with baking soda produces a colourless gas C, which when ed through lime water forms a solution D. On further ing the gas C through D, another solution E is formed. Identify the nature of A and the colour of the solution E. (1) Acidic, blue
(2) Basic, red
(3) Basic, yellow
(4) Acidic, colourless
31.
31. The green coloured pigment present in chloroplast helps in (1) Absorption of phosphorus from the soil (2) Absorption of light energy (3) Removal of excess water through lenticels (4) Exchange of respiratory gases
,FkukWy ds futZyhdj.k ds ifj.kkeLo:i ty ds lkFk&lkFk ,d ;kSfxd 'X' fufeZr gksrk gSA 'X' ds gkbMªkt s uhdj.k ls ,d vU; ;kSfxd 'Y' fufeZr gksrk gSA 'X' vkSj 'Y' Øe'k% gSa (1) ,FkukWbd vEy ,oa ehFksu (2) ,Fkhu ,oa ,Fksu (3) ,FkukWy ,oa ,Fksu (4) ,Fksu ,oa ehFksu fuEu esa ls fdlesa ijek.kqvksa dh la[;k lokZfèkd gS? (1) 48 xzke ghfy;e (2) veksfu;k ds 3.011 × 1021 v.kq (3) ehFksu ds 48 v.kq (4) 3 eksy vkWDlhtu fuEu esa ls fdl rRo&;qXe esa la;ksth bysDVªkuW ksa dh la[;k leku gS? (1) lksfM;e ,oa eSXuhf'k;e (2) dkcZu ,oa ukbVªkt s u (3) vkWDlhtu ,oa lYÝQj (4) iksVfS 'k;e ,oa dSfY'k;e csfdax lksMk ds rkih; fo;kstu ij] yo.k 'X' çkIr gksrk gSA 'X' dk tyh; foy;u dh izoQ` fr gksxh? (2) {kkjh; (1) vEyh; (3) mHk;èkehZ (4) mnklhu ;kSfxd A, csfdax lksMk ls vfHkfØ;k djus ij jaxghu xSl C mRiUu djrk gSA bl xSl dks pwus ds ikuh ls xqtk+ jus ij foy;u D curk gSA D ls xSl C dks iqu% xqtk+ jus ij] ,d vU; foy;u E curk gSA A dh çÑfr vkSj foy;u E dk jax igpkfu,A (1) vEyh;, uhyk (2) {kkjh;] yky (3) {kkjh;, ihyk (4) vEyh;] jaxghu gfjr yod esa mifLFkr gjs jax ds o.kZd fdl dk;Z esa lgk;d gksrs gS\ a (1) e`nk ls iQkWLiQksjl dk vo'kks"k.k (2) çdk'k ÅtkZ dk vo'kks"k.k (3) okrjaèkzkas ds ekè;e ls vfrfjDr ty dk fu"dklu (4) 'olu xSlksa dk fofue;
Space for Rough Work
7
Aakash National Talent Hunt Exam 2015 (Senior)
Sample Paper
32. In humans, the centre associated with hunger is present in the (1) Fore brain (2) Hind brain (3) Mid brain (4) Spinal cord 33. In humans, ________ provides a surface where exchange of gases can take place. (1) Neuron (2) Villi (3) Nephron (4) Alveolus 34. Statement-1 : Carbon dioxide is insoluble in water. Statement-2 : Haemoglobin has a high affinity for oxygen. (1) Both the statements are true (2) Both the statements are false (3) Statement-1 is true and statement-2 is false (4) Statement-1 is false and statement-2 is true 35. Glucose
In cytoplasm
Pyruvate
(6-Carbon molecule)
32.
33.
34.
Lack of oxygen P + Energy (in our muscle (3-Carbon cells) molecule)
35.
Pepsin
Trypsin
Trypsin
+
+
+
+
HCl
Alkali
Alkali
HCl
+
+
+
+
Protein
Protein
Protein
Protein
P (1) P and R (3) Q and S
Q
dkfs'kdknzO; esa Xyd w kt s ⎯⎯⎯⎯→ ikb#osV
(6 − dkcZu
v.k)q
vkWDlhtu dh deh ⎯⎯ ⎯ ⎯ ⎯ ⎯⎯ → (gekjh is'kh&dkfs'kdkvksa ea)s
The accumulation of ‘P’ in humans leads to (1) Dwarfism (2) Muscle cramps (3) Diabetes (4) Hepatitis A 36. Which of the following is not a part of excretory system in human beings? (1) Kidney (2) Ureter (3) Vas deferens (4) Urethra 37. In which of the following test tubes digestion of protein would not take place? Pepsin
ekuo es]a Hkw[k ls lacfa èkr dsæa dgka mifLFkr gksrk gS? vxz efLr"d esa (2) i'p efLr"d esa (3) eè; efLr"d esa (4) es# jTtq esa ekuoksa es]a ________ xSlksa ds fofue; ds fy, lrg çnku djrh@djrk@djrs gS@gSAa (1) raf=kdk dksf'kdk (2) jlkadqj (3) o`Ddk.kq (4) dwfidk dFku-1 : dkcZu MkbZvkWDlkbM ty esa v?kqyu'khy gksrh gSA dFku-2 : gheksXyksfcu esa vkWDlhtu ds çfr mPp ca/qrk gksrh gSA (1) nksuksa dFku lgh gSa (2) nksuksa dFku xyr gSa (3) dFku&1 lgh gS ,oa dFku&2 xyr gS (4) dFku&1 xyr gS ,oa dFku&2 lgh gS (1)
36.
37.
R S (2) P and S (4) R and Q
+
ÅtkZ
v.kq)
ekuo esa ^P* ds lap;u ls D;k gksrk gS? (2) isf'k;ksa esa ,sB a u (1) okeurk (ckSukiu) (3) eèkqeg s (4) gSisVkbfVl A fuEu esa ls dkSu] ekuo esa mRltZu&ra=k dk Hkkx ugha gS? (2) ew=kokfguh (1) o`Dd (3) 'kqØokgd (4) ew=kekxZ fuEu esa ls dkSulh ij[kufy;ksa esa çksVhu dk ikpu ugha gksxk? isfIlu
isfIlu
fVªfIlu
fVªfIlu
+
+
+
+
HCl
{kkj
{kkj
HCl
+
+
+
+
izksVhu
izksVhu
izksVhu
izksVhu
P
Q
(1) P
R (2) P
(3)
(4)
vkSj R Q vkSj S
Space for Rough Work
8
P
(3 − dkcZu
vkSj S R vkSj Q
S
Sample Paper
Aakash National Talent Hunt Exam 2015 (Senior)
38. In which part of the alimentary canal digestion of starch begins?
38.
(1) Stomach (2) Large intestine 39.
(3) Liver (4) Buccal cavity
vkgkj uyh ds fdl Hkkx esa eaM (LVkpZ) dk ikpu vkjaHk gksrk gS? (2) cM+h vkar (1) vkek'k; (3) ;d`r (4) eq[k xqfgdk var%lzkoh xzfa Fk ^A*] ,d ekuoh; mRlthZ vax ^B* ds 'kh"kZ ij fLFkr gSA vax ^B* vkSj ^A* }kjk lzkfor gkWekZsu dh igpku djsAa
39. The endocrine gland ‘A’ is located at the top of a human excretory organ ‘B’. Identify the organ ‘B’ and the hormone secreted by ‘A’
var%lkzoh xfza Fk lzkfor gkWekuZs
vax 'B' (1)
ew = kokfguh
'A'
,sM ªhusfyu
Organ 'B'
Hormone secreted by endocrine gland 'A'
(2)
o`Dd
Fkk;jkfWDlu
(1)
Ureter
Adrenaline
(3)
o`Dd
,sM ªhusfyu
(2)
Kidneys
Thyroxine
(4)
ew = kekxZ
(3)
Kidneys
Adrenaline
(4)
Urethra
40.
}kjk
Fkk;jkfDlu W 'P' raf=kdksf'kdk
xzkgh
Thyroxine
es# jTtq 40.
Receptor
Effector
'P' neuron
'Q' neuron
dk;Zdj
Spinal cord
'Q' raf=kdksf'kdk
^P*
dh igpku djsAa
(1)
çsjd raf=kdksf'kdk
(2)
çlkfjr raf=kdksf'kdk
(3)
laons h raf=kdksf'kdk
(4)
varjkraf=kdk.kq
Identify ‘P’. (1) Motor neuron
(2) Relay neuron
(3) Sensory neuron
(4) Interneuron
41. ‘X’
vkSj ‘Y’ efLr"d esa fLFkr nks var%lzkoh xzfa Fk;ka gSAa ‘X’] gkekZus ‘Z’ dk lzko djrh gS tks euq";ksa esa o`f¼ dks fu;af=kr djrk gSA ‘X’ vkSj ‘Y’ gSa
41. ‘X’ and ‘Y’ are the two endocrine glands located in the brain. ‘X’ releases a hormone ‘Z’ which regulates growth in humans. ‘X’ and ‘Y’ are (1) X – Hypothalamus and Y – Pituitary gland
(1) X –
gk;iksFksyes l ,oa
(2) X – Thyroid gland and Y – Pineal gland
(2) X –
Fkk;jkWbM xzfa Fk ,oa
(3) X – Pituitary gland and Y – Pineal gland
(3) X –
ih;w"k xzfa Fk ,oa
Y–
fifu;y xzfa Fk
(4) X – Pituitary gland and Y – Thyroid gland
(4) X –
ih;w"k xzfa Fk ,oa
Y–
Fkk;jkWbM xzfa Fk
Space for Rough Work
9
Y– Y–
ih;w"k xzfa Fk fifu;y xzfa Fk
Aakash National Talent Hunt Exam 2015 (Senior)
Sample Paper
42. Rings of cartilage are present in the throat to
42.
(1) Absorb more oxygen from the air
xys esa mikfLFk;ksa ds oy; fdlfy, mifLFkr gksrs gS?a (1)
ok;q ls vfèkd vkWDlhtu vo'kksf"kr djus ds fy,
(2)
lkal }kjk vanj yh xbZ ok;q dks Nkuus ds fy,
(3)
ok;q ekxZ dks ladfq pr gksus ls jksdus ds fy,
(4)
vfèkd ÅtkZ mRikfnr djus ds fy,
(2) Filter the inhaled air (3) Prevent the air age from collapsing (4) Produce more energy 43. Trypsin (Trypsinogen) is secreted from (1) Pancreas
43.
(2) Stomach (3) Small intestine
fVªfIlu (fVªfIlukstu) fdlls lzkfor gksrk gS? (1)
vXU;k'k;
(2)
vkek'k;
(3)
NksVh vk¡r
(4)
;Ñr
(4) Liver 44.
44. Which of the following is the first step of photosynthesis? (1) Splitting of water molecules into hydrogen and oxygen (2) Absorption of light energy by chlorophyll molecules (3) Reduction of carbon dioxide to carbohydrates (4) Conversion of light energy into chemical energy
45.
buesa ls dkSu] çdk'kla'ys"k.k dk çFke pj.k gS? (1)
ty ds v.kqvksa dk gkbMªkt s u ,oa vkWDlhtu esa foHkDr gksuk
(2)
i.kZgfjr v.kqvksa }kjk çdk'k ÅtkZ dk vo'kks"k.k fd;k tkuk
(3)
dkcZu MkbZvkWDlkbM dk vip;u dkckZgs kbMªVs esa gksuk
(4)
çdk'k ÅtkZ dk jklk;fud ÅtkZ esa :ikarj.k gksuk
uhps n'kkZbZ xbZ lajpuk fdlds fy, mÙkjnk;h gS?
45. The structure illustrated below is responsible for
}kj&dksf'kdk
Guard cells
ja/hz ja/z Stomatal pore
gfjr yod Chloroplast
(i) Gaseous exchange (ii) Transpiration
(i)
xSlh; fofue;
(ii)
ok"iksRltZu
(iv)
Hkkstu dk ifjogu
(iii) Storage of food
(iv) Transport of food
(iii)
Hkkstu dk HkaMkj.k
(1) (ii) and (iv) only
(2) (i), (iii) and (iv)
(1)
dsoy
(ii)
vkSj (iv)
(2) (i), (iii)
vkSj (iv)
(3) (i) and (ii) only
(4) (i), (ii) and (iv)
(3)
dsoy
(i)
vkSj (ii)
(4) (i), (ii)
vkSj (iv)
Space for Rough Work
10
Sample Paper
Aakash National Talent Hunt Exam 2015 (Senior)
Hkkx - B % xf.kr
SECTION - B : MATHEMATICS 46. If , and are the zeroes of a cubic polynomial ax3 + cx + d, then (1 + ) + + is equal to
46.
;fn , vkSj ,d ?ku cgqin ax3 + cx + d, ds 'kwU;d gksa rks (1 + ) + + dk eku gksxk
(1)
2c a
(2)
2d a
(1)
2c a
(2)
2d a
(3)
d a
(4)
c a
(3)
d a
(4)
c a
47. In the given figure, area of quadrilateral ABCD is
1 cm
H
A
1 cm
1 cm
fn, x, fp=k es]a prqHkZt q
E
1 cm
C
1 cm
1 cm2 4
(4)
E 1 lsehB
1 lseh-
P
1 lseh-
O
1 (2) cm2 2
(1) 2 cm2
1 lseh-
D
1 cm
O
dk {ks=kÝQy gksxk
1 lseh-
B
1 cm
ABCD
A
1 lseh-
H
1 cm
D
(3)
47.
(1) 2
1 cm2 8
(3)
48. If y2 + 7y + 5p = 0, then the integral value of p for which the given equation does not have real roots can be
C
1 lseh-
lseh-2
1 4
lseh-2
1 lseh-
P
(2)
1 2
lseh-2
(4)
1 8
lseh-2
(1) 1
(2) 2
;fn y2 + 7y + 5p = 0] rks] p dk og iw.kkZadh; eku dkSu&lk gks ldrk gS ftlds fy, fn;s x;s lehdj.k ds ewy okLrfod ugha gksxa ?s
(3) 3
(4) –1
(1) 1
(2) 2
(3) 3
(4) –1
49. If (2
a
)
a
48.
16 , then the value of a is
49. (1) 1
(2) 2
(3) 4
(4) 16
;fn
a
)
a
16 ]
rks
a
dk eku gksxk
(1) 1
(2) 2
(3) 4
(4) 16
Space for Rough Work
11
(2
Aakash National Talent Hunt Exam 2015 (Senior) 50. In the given figure, PRCB is a square. If
Sample Paper
AQ 1 AC 3
50.
and BC = 6 cm, then the length of AP is A
P
Q
R
O
x
y
z
AQ 1 AC 3
vkSj
A
P
B C (1) 2 cm (2) 1 cm (3) 4 cm (4) 3 cm 51. An English word consists of 9 alphabets. The sum of twice the number of vowels and three times the number of consonants present in the word is equal to four more than four times the total number of vowels in the English alphabets. The product of the number of vowels and consonants present in the word is (1) 9 (2) 20 (3) 18 (4) 14 52. In the given figure, O is the centre of the circle. If x + y = 180°, then the value of z is
A
fn, x, fp=k es]a PRCB ,d oxZ gSA ;fn BC = 6 lseh-] rks AP dh yEckbZ gksxh
Q
R
B
C
(1) 2
51.
lseh(2) 1 lseh(3) 4 lseh(4) 3 lsehvaxt sz h ds ,d 'kCn esa 9 v{kj gSAa 'kCn esa mifLFkr Lojksa dh la[;k ds nksxuq s ,oa O;atuksa dh la[;k ds rhu xqus dk ;ksx] vaxt sz h o.kZekyk esa mifLFkr Lojksa dh dqy la[;k ds pkj xqus ls pkj vfèkd gSA 'kCn esa mifLFkr Lojksa vkSj O;atuksa dh la[;kvksa dk xq.kuÝQy gksxk (1) 9 (3) 18
52.
(2) 20 (4) 14
fn, x, fp=k es]a rks z dk eku gS
O
o`Ùk dk dsæa gSA ;fn
O
C A
B (1) 120° (3) 60°
(1) 120° (2) 30° (3) 60° (4) 90° 53. The ratio of the radius of the base of a cylinder to its height is 7 : 6. If the volume of the cylinder is 294 cm3, then its base diameter is (1) 1 cm (2) 14 cm (3) 7 cm (4) 12 cm
53.
z
B
(2) 30° (4) 90°
,d csyu ds vkèkkj dh f=kT;k dk mldh ÅapkbZ ls vuqikr 7 : 6 gSA ;fn csyu dk vk;ru 294 lseh-3 gks] rks mlds vkèkkj dk O;kl gksxk (1) 1 lseh(2) 14 lseh(3) 7 lseh(4) 12 lseh-
Space for Rough Work
12
C
x
y
x + y = 180°]
Sample Paper
Aakash National Talent Hunt Exam 2015 (Senior)
54. If the product of HCF and LCM of two natural numbers is 378000, then which of the following can be their HCF? (1) 66
(2) 130
(3) 34
(4) 20
54.
55.
55. In the given figure, the length of AD is
;fn nks çkÑr la [ ;kvks a ds egÙke lekiorZ d vkS j y?kqÙke lekioR;Z dk xq.kuÝQy 378000 gS] rks fuEu esa ls dkSu mudk egÙke lekiorZd gks ldrk gS? (1) 66
(2) 130
(3) 34
(4) 20
fn, x, fp=k es]a
AD
dh yEckbZ gS A
A
8 lseh-
8 cm C
56.
C
B
24 cm
D
26 lseh-
D
26 cm
B
24 lseh-
(1) 6 cm
(2) 7 cm
(1) 6
lseh-
(2) 7
lseh-
(3) 4 cm
(4) 5 cm
(3) 4
lseh-
(4) 5
lseh-
56.
2 3 can be expressed as
1
(1) 2
(3)
3
1 3 2
dks fuEu esa ls fdlds }kjk O;Dr fd;k tk
ldrk gS? 1
(2) 3
(4)
2 3
1
(1) 2
2
3 1
(3)
2
57.
57. If the side x of a cube becomes 11 times of itself, then its volume increases by
3
1 3 2
1
(2) 3
(4)
2
3 1 2
;fn fdlh ?ku dh Hkqtk x] Lo;a dh 11 xquh gks tk, rks mldk vk;ru c<+ dj fdruk gks tk,xk?
(1) 1330x3
(2) 1331x3
(1) 1330x3
(2) 1331x3
(3) 1321x3
(4) 1320x3
(3) 1321x3
(4) 1320x3
58.
58. If 5 is a root of the equation 2x2 – 6x – 5a = 0, then the value of a2 – 2a is
;fn lehdj.k 2x2 – 6x – 5a = 0 dk ,d ewy a2 – 2a dk eku gksxk
(1) 24
(2) 12
(1) 24
(2) 12
(3) 14
(4) 8
(3) 14
(4) 8
Space for Rough Work
13
5
gS rks
Aakash National Talent Hunt Exam 2015 (Senior)
Sample Paper
59. In the given figure, AB = AC. If P, Q, T and H are the midpoints of AB, AC, BR and CR respectively, then TH can be equal to A
59.
fn, x, fp=k es]a AB = AC- ;fn P, Q, T vkSj H Øe'k% vkSj CR ds eè;fcanq gks]a rks TH dk eku fdlds cjkcj gks ldrk gS?
AB, AC, BR
A
60° P
Q
R H
T
B
60° P
C
AC (2) 3
AB (1) 4
AC AB (2) 3 4 (3) AP (4) PC 60. ;fn p(x) = ax3 + bx2 + cx + d ,d cgqin gks vkSj a + b + c + d = 0 gks] rks fuEu esa ls dkSu p(x) dk xq.ku[kaM gksxk? (1) x + 1 (2) x – 1 (4) x (3) x2 – 1 61. ;fn PQRS ,d leprqHkZqt gS] P Q gS vkSj O
mlds fod.kksaZ dk çfrPNsnu fcanq gS rks fuEukafdr esa ls dkSu lnSo vlR; gksxk?
PR 2 62. In the given figure, QP || BC and PR || CD. If AQ = 3 cm, QB = 2 cm and RD = 5 cm, then the length of AR is A
(4) QO =
Q B
62.
(1) PR QS
(2) PO = RO
(3) PSO = RSO
(4) QO =
A
Q D
B
C (1) 7 cm (3) 6 cm
PR 2 PR || CD -
fn, x, fp=k es a ] QP || BC vkS j AQ = 3 lseh-] QB = 2 lseh-] vkSj RD = dh yEckbZ gS
R P
C
(1)
(3) AP (4) PC 3 2 60. If p(x) = ax + bx + cx + d is a polynomial and a + b + c + d = 0, then which of the following must be a factor of p(x)? (1) x + 1 (2) x – 1 2 (3) x – 1 (4) x 61. If PQRS is a rhombus, P Q and O is the point of intersection of its diagonals, then which of the following is always false? (1) PR QS (2) PO = RO (3) PSO = RSO
H
T
B
Q
R
R P
D
C
(2) 7.5 cm (4) 6.5 cm
(1) 7 (3) 6 Space for Rough Work
14
lsehlseh-
(2) 7.5 (4) 6.5
lsehlseh-
5
lseh-] rks
;fn AR
Sample Paper
Aakash National Talent Hunt Exam 2015 (Senior)
63. For the given system of equations 3x – 4y = 5 and 5x + by = c to be inconsistent, one pair of values of b and c can be (1) b
63.
20 25 and c 3 3
3x – 4y = 5
fn, x, lehdj.k fudk; c ds vlaxr gksus ds fy, gks ldrk gS (1) b
20 3
vkSj
c
b
vkSj
c
,oa 5x $ by = ds ekuksa dk ,d ;qXe
25 3
(2) b = – 6.4 and c = – 20 (2) b = – 6.4
vkSj c = – 20
(3) b = 6.4 and c = 19 (3) b = 6.4 20 and c = –19 (4) b 3
(4) b
64. If three numbers are consecutive positive integers and five times the square of the largest number is greater than two times the sum of the squares of the other two numbers by 75, then the sum of the smallest and the largest of these numbers is (1) 12
(2) 9
(3) 8
(4) 10
65. If
(1)
64.
3 pq 1 and 1 , then 2p is equal to pq 8
13 7
(3) 10
65.
(2) 11
66. Which of the following numbers will completely divide 261 + 262 + 263 + 264? (1) 100
(2) 10
(3) 27
(4) 17
66.
67. The sum of all the zeroes of the polynomial (y + 2)(y – 3)(y2 – 1) is
67.
20 3
vkSj c = –19
;fn rhu la[;k,¡ Øekxr èkukRed iw.kkZd a gSa vkSj lcls cM+h la[;k ds oxZ dk ik¡p xquk] vU; nks la[;kvksa ds oxksaZ ds ;ksx ds nks xqus ls 75 vfèkd gS rks muesa ls lcls NksVh vkSj lcls cM+h la[;k dk ;ksx gksxk (1) 12
(2) 9
(3) 8
(4) 10 3
;fn p q (1)
(4) 7
vkSj c = 19
1
vkSj
pq 1, 8
13 7
rks
dk eku gksxk
(2) 11
(3) 10
(4) 7
fuEu esa ls dkSu&lh la[;k iw.kZr% foHkkftr djsxh?
261 + 262 + 263 + 264
(1) 100
(2) 10
(3) 27
(4) 17
cgqin
(y + 2)(y – 3)(y2 – 1)
(2) –1
(1) 0
(2) –1
(3) 1
(4) 6
(3) 1
(4) 6
Space for Rough Work
dks
ds lHkh 'kwU;dksa dk ;ksx gksxk
(1) 0
15
2p
Aakash National Talent Hunt Exam 2015 (Senior)
Sample Paper
68. A rectangular tank, 50 cm long and 30 cm wide, contains water upto a height of 9 cm. A box of dimensions 25 cm × 25 cm × 20 cm is now placed in the tank so that its square face rests on the bottom of the tank. The quantity of water (in L) that must be poured into the tank in order to just cover the box is (1) 0.4
(2) 16.5
(3) 12.5
(4) 4
lseh- yach vkSj 30 lseh- pkSMh+ ,d vk;rkdkj Vadh esa 9 lseh- dh ÅapkbZ rd ikuh Hkjk gSA 25 lseh- × 25 lseh× 20 lseh- foek okyk ,d cDlk Vadh esa bl çdkj j[kk tkrk gS fd mldk oxkZdkj i`"B Vadh ds ry ij fLFkj gks tkrk gSA cDls dks iwjh rjg ek=k Mqcksus ds fy, Vadh esa ikuh dh fdruh ek=kk (yhVj es)a mM+y s h tkuh pkfg,?
68. 50
69.
69. In the given figure, ABCD is a square of area 16 cm2. If O is the centre of the circle, then the length of OP is
D
(1) 0.4
(2) 16.5
(3) 12.5
(4) 4
fn, x, fp=k esa, 16 lseh-2 gSA ;fn gksxh
C
C
O
P
B
A
8 cm 11
(1) 4 cm
(2)
(3) 2 cm
(4) 3 cm
(1) 4
P
B (2)
lseh-
8 11
lseh-
(3) 2
QR RP and O is the 70. In the given figure, if PQ centre of the circle, then the value of x is
70.
lseh(4) 3 lseh QR RP vkSj fn, x, fp=k es]a ;fn PQ dsæa gS] rks x dk eku gksxk
P
O
O
,d oxZ gS ftldk {ks=kÝQy o`Ùk dk dsæa gks rks OP dh yEckbZ
D
O
A
ABCD
P
x
Q
O R
x
Q
R
(1) 30°
(2) 60°
(1) 30°
(2) 60°
(3) 45°
(4) 15°
(3) 45°
(4) 15°
Space for Rough Work
16
O
o`Ùk dk
Sample Paper
Aakash National Talent Hunt Exam 2015 (Senior)
Hkkx - C % ekufld ;ksX;rk
SECTION - C : MENTAL ABILITY 71. Choose the option from given alternatives that best fits the empty space.
(1)
(2)
(3)
(4)
71.
72. In a party, there are 15 . Each shakes hand with one another. Total numbers of the handshakes is (1) 120
(2) 105
(3) 90
(4) 15
72.
73.
73. If x3 – y3 = (x – y) (x2 + y2 – xy) and x3 + y3 = (x + y)(x2 + y2 + xy), then (23 + 33) (33 – 23)
fn, x, fodYiksa esa ls og fodYi pqusa tks fjDr LFkku ds fy, lokZfèkd mi;qDr gSA
(1)
(2)
(3)
(4)
,d ikVhZ esa 15 O;fDr gSaA çR;sd O;fDr 'ks"k O;fDr;ksa ls gkFk feykrk gSA dqy fdruh ckj gkFk feyk, tk,axs? (1) 120
(2) 105
(3) 90
(4) 15
;fn x3 – y3 = (x – y) (x2 + y2 – xy) vkSj x3 + y3 = (x + y)(x2 + y2 + xy), rks (23 + 33) (33 – 23) 35 19
(1)
95 7
(2)
35 19
(1)
95 7
(2)
(3)
19 35
(4) 125
(3)
19 35
(4) 125
74.
74. Find the odd one out.
fo"ke fodYi pquAas
(1) (16, 30, 34)
(2) (11, 40, 41)
(1) (16, 30, 34)
(2) (11, 40, 41)
(3) (20, 21, 29)
(4) (11, 60, 61)
(3) (20, 21, 29)
(4) (11, 60, 61)
Space for Rough Work
17
Aakash National Talent Hunt Exam 2015 (Senior)
Sample Paper
75. 42 : 16 :: 32 : 9 :: 25 : ?
75. 42 : 16 :: 32 : 9 :: 25 : ?
(1) 42
(2) 32
(1) 42
(2) 32
(3) 52
(4) 25
(3) 52
(4) 25
76.
76. If rank of a student from last is 17th and 15th from beginning, then how many students are there?
;fn fdlh fo|kFkhZ dk LFkku var ls 17oka vkSj vkjaHk ls gS] rks fo|kfFkZ;ksa dh dqy la[;k fdruh gS?
(1) 31
(2) 32
(1) 31
(2) 32
(3) 33
(4) 17
(3) 33
(4) 17
77.
77. Which digit will be the next in the given sequence?
15oka
fn;s x;s vuqØe esa vxyk vad D;k gksxk? 3145955?
3145955? (1) 4
(2) 5
(3) 1
(4) 9
78. ‘34’ will be coded as (2) 3
(3) 7
(4) 2 79.
79. Choose the alternative which is different from the others. (1) Einstein
(2) Niels Bohr
(3) CV Raman
(4) Wright Brothers
(2) 5
(3) 1
(4) 9
funZs'k (ç- 78) : fdlh Hkk"kk esa] '45' dks dwV:i esa 3, '35' dks dwV:i esa 5, ^6* dks dwV:i (dksM) esa 2 fy[kk tkrk gSA 78. '34' dks dwV:i esa D;k fy[kk tk,xk?
Directions (Q.78) : In a certain language, ‘45’ is coded as 3, ‘35’ is coded as 5, ‘6’ is coded as 2.
(1) 4
(1) 4
(1) 4
(2) 3
(3) 7
(4) 2
og fodYi pquas tks nwljs fodYiksa ls vyx gksA (1) vkbaLVhu (2) uhYl cksj (3)
lh-oh- jeu (4) jkbV cznlZ funZs'k (ç-80) % uhps n'kkZ, fp=k ds vuqlkj] ,d LED çn'kZ ds lkr [kaMksa dk mi;ksx djrs gq,] 0 ls 9 rd fdlh Hkh vad dks fMftVy :i esa n'kkZ;k tk ldrk gSA
Directions (Q.80) : Any number from 0-9 can be displayed digitally using seven-segments on an LED display as shown below.
p
p u t
v
u
q
v
r
t
r
q
s
s 80. Due to poor power supply, any two segments are not working. Which of the following numbers can be displayed properly?
80.
[kjkc fo|qrkiwfrZ ds dkj.k] dksbZ nks [kaM dk;Z ugha dj jgs gSaA buesa ls dkSu&lk vad lgh
(1) 8
(2) 9
(1) 8
(2) 9
(3) 6
(4) 4
(3) 6
(4) 4
Space for Rough Work
18
Sample Paper
Aakash National Talent Hunt Exam 2015 (Senior)
81. Choose the odd one out.
81.
fo"ke fodYi dk p;u dhft,A
(1)
(2)
(1)
(2)
(3)
(4)
(3)
(4)
funZs'k (ç- 82) % fp=kksa ds igys vkSj nwljs ;qXe ds chp ,d lacaèk gSA fuEu fodYiksa esa ls dkSu&lk fodYi fjDr LFkku ds fy, mi;qDr gS\
#
#
–
+
?
::
82.
?
::
(2)
–
–
(3)
–
–
(1)
(2)
(4)
(2)
(3)
(4)
(4)
83.
83. If ‘cellphones’ and ‘TV’ are represented by two small circles and ‘coloured’ is represented by a big circle, then which figure best represents the logical relationship between the three entities?
(1)
–
–
–
– (3)
#
(1)
+
#
82.
+
–
+
Directions (Q.82) : The first and the second pair of figures bear a certain relationship among them. Find the missing one.
;fn ^eksckbZy ÝQksu* vkSj ^Vhoh* dks nks NksVs o`Ùkksa ls fu:fir fd;k tk, vkSj ^jaxhu* dks cM+s o`Ùk ls fu:fir fd;k tk, rks dkSu&lk fp=k bu rhu oLrqvksa ds chp ds rkfdZd lacèa k dks loZJ"s B
(1)
(2)
(3)
(4)
Space for Rough Work
19
Aakash National Talent Hunt Exam 2015 (Senior)
Sample Paper
Directions (Q.84 & Q.85) : Read the following information carefully and answer the questions.
Z i<+as funZs'k (ç- 84 vkSj ç- 85) % fuEukafdr tkudkjh è;kuiwod vkSj ç'uksa ds mÙkj nsAa ,d ifjokj ds ik¡p lnL; Hkkstu dh est ij cSBs gSaA L, M dh ek¡ gSA M, N dh cgu gS; N, O dk iq=k gSA P, L dh ,dek=k iq=koèkw gSA 84. P dk M ls D;k lacèa k gS? (1) cgu (2) iq=kh (3) HkkHkh (4) iq=koèkw 85. O, M dk@dh _______ gS? (2) cgu (1) HkkbZ (3) firk (4) pkpk 86. fodYiksa esa ls og fp=k [kkstsa tks nh xbZ Ük`a[kyk dks iw.kZ djrk gSA
Five of a family are sitting on a dining table. L is the mother of M. M is the sister of N, who is the son of O. P is the only daughter-in-law of L. 84. How is P related to M? (1) Sister (2) Daughter (3) Sister-in-law (4) Daughter-in-law 85. O is M's _______ ? (1) Brother
(2) Sister
(3) Father
(4) Uncle
86. Find the figure from the alternatives that completes the given series.
? ?
(1)
(3)
(2)
(4)
87. How many minimum number of line segments are required to make the figure given below?
(1) 13
(2) 12
(3) 11
(4) 10
87.
(1)
(2)
(3)
(4)
uhps fn;k x;k fp=k cukus ds fy, U;wure fdrus js[kk&[kaMksa dh vko';drk gS?
(1) 13 (3) 11 Space for Rough Work
20
(2) 12 (4) 10
Sample Paper
Aakash National Talent Hunt Exam 2015 (Senior)
88. From the letters given below, which one, when turned upside down and then reflected in a mirror, will represent the same letter? (1) L
(2) B
(3) C
(4) N
88.
uhps fn, x, v{kjksa esa ls] fdls myVk djds niZ.k esa çfrfcafcr djus ij] ogh v{kj fn[ksxk? (1) L
(2) B
(3) C
(4) N
funZs'k (ç-89 vkSj ç-90) % ç'uksa ds mÙkj nsus ds fy, fuEukafdr ikbZ&pkVZ dk vè;;u djsaA
Directions (Q.89 & Q.90) : Study the following pie-chart to answer the questions.
fgUnh
Hindi (260)
(260)
vaxt sz h
English Spanish (111) (449) e enc Sci 0) (7 Maths (210)
(111)
LiSfu'k (449)
foKku 0) (7
xf.kr (210)
fo"k; fof'k"V esa fo'ks"kKrk j[kus okys fo|kfFkZ;ksa dh la[;k
Number of students specializing in a specific subject
89.
(1) 200%
(2) 300%
xf.kr esa fo'ks"kKrk j[kus okys fo|kfFkZ;ksa dh la[;k] foKku esa fo'ks"kKrk j[kus okys fo|kfFkZ;ksa dh la[;k ls fdrus çfr'kr vfèkd gS?
(3) 400%
(4) 350%
(1) 200%
(2) 300%
(3) 400%
(4) 350%
89. By what percentage, the number of students specialising in Maths is more than that in Science?
90. The difference of the students specializing in Hindi and Maths is (1)
(2)
(3)
90.
1 of Spanish 7 2 of English 3
5 of Science 7
(4) Less than that of Spanish but more than that of English
fgUnh vkSj xf.kr esa fo'ks"kKrk j[kus okys fo|kfFkZ;ksa dk varj gS (1)
LiSfu'k dk
1 7
(2)
vaxzsth dk
2 3
(3)
foKku dk
5 7
(4)
LiSfu'k esa fo'ks"kKrk j[kus okys fo|kfFkZ;ksa ls de ysfdu vaxt sz h esa fo'ks"kKrk j[kus okys fo|kfFkZ;ksa ls vfèkd
Space for Rough Work
Note : Answer key of Sample Paper is available at www.aakash.ac.in & www.anthe.in
21
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