Class 10 Cbse Maths Mcq 173h3m

Maths Assignment By- Dhiren Mathur (10249) MCQ ( 25 Qns.)

1. The length of the tangent from a point A at a circle, of radius 3 cm, is 4 cm. The distance of A from the centre of the circle is (a) 14 cm (b) 7 cm (c) 5 cm (d) 25 cm 2. PQ is a tangent drawn from a point P to a circle with centre O and QOR is a diameter of the circle such that ∠POR = 120° , then ∠OPQ is (a) 60°

(b)45°

(c) 90°

(d) 30°

3. In the adjacent figure, if AB = 12 cm , BC = 8 cm and AC = 10 cm, then AD =

(a) 5 cm

(b) 4 cm

(c) 6 cm

(d) 7 cm

4. In the adjacent figure, if tangents PA and PB are drawn to a circle such that ∠APB = 30° and the chord AC is drawn parallel to the tangent PB, then ∠ABC =

(a)60°

(b)30°

(c)90°

(d)45°

5. If PT is a tangent drawn from a point P to a circle touching it at T and O is the centre of the circle, then ∠OPT + ∠POT = (a)90°

(b)60°

(c)30°

(d)None of these

6. The ratio of the length of a rod and its shadow is 1 : √ . The angle of elevation of the sum is (a)30° (b)45° (c)60° (d)90° 7. The angle of elevation of a cloud from a point h metre above a lake is  the angle of depression of its reflection in the lake is 45°. The height of the cloud is (a) h tan ( 45°+ bh cot ( 45° -  (c) h tan ( 45° -  ) (d) h cot ( 45° +  8. A tower subtends a angle of 30° on a point on the same level as its foot. At a second point h meters above the first, the depression of the foot of the tower is 60°. The height of the tower is (a)

m

(b)√

m

(c)

m

(d)

√

m

9. If the point of elevation of a cloud 200m above a lake is 30° and the angle of depression of its reflection in the lake is 60°, then the height of the cloud above the lake is, (a)200m (b) 400m (c) 300m (d) 25√ m 10. The tops of two poles of height 16m and 10m are connected by a rope of length l m if the rope makes an angle of 30° with the horizontal then, l = (a)26m (b) 16m (c)12m (d) 10m 11. The probability of guessing the correct answer to a certain test question is . If the probability of not guessing the corrent answer to this question is , then x = (a) 2

(b) 3

(c) 6

(d) 4

12. A number is selected at random from the numbers 3,5,5,7,7,7,9,9,9,9. The probability that the selected number is their average is (a)

(b)

(c)

(d)

13. A card is picked from a pack of playing cards. The probability of it being an Ace is (a)

(b)

(c)

(d)

14. Aarushi sold 100 lottery tickets in wich five tickets get prixes. If Priya purchases a ticket, what is her probability? (a)

(b)

(c)

(d)

15. Two numbers a & b are selected successively without replacement in that order from the integers 1 to 10. The probality that is an integer is (a)

(b)

(c)

(d)

16. The difference between the circumference and radius of a circle is 37cm. The area of the circle is (a)111 (b) 148 (c) 154 (d) 259 17. A wire can be bent in the form of a circle of radius 56 cm. If it is bent in the form of a square, its area would be (a) 3250 (b )6400 (c) 7744 (d) 8800 18. The area of incircle of an equilateral triangle is 154 . The perimeter of the triangle is (a) 71.5cm (b) 71.7cm (c)72.3cm (d) 72.7cm 19. If the radius of a circle is diminished by 10%, the area is diminished by (a) 10% (b) 19% (c) 20% (d)36% 20. The area of the largest triangle that can be inscribed into a semi-circle of radius r is (a)2r (b) (c) r (d)√ 21. If three metallic spheres of radii 6cm, 8cm and 10cm are melted to form a single sphere, The diameter of the sphere is (a) 12cm (b) 24cm (c) 30cm (d) 36cm 22. The curved surface area of a cylinder is 264 height is (a) 3 : 7 (b) 7 : 3 (c) 6 : 7 (d) 7 : 6

, and its volume in 924

. The ratio of its diameter to its

23. The ratio of lateral surface area to the total surface area of a cylinder with base diameter 1.6m and height 20cm is (a) 1 :7 (b) 1 : 5 (c) 7 : 1 (d) 5 : 1 24. 12 spheres of the same size are made by melting a solid cylinder of 16cm diameter and 2cm height. The diameter of each sphere is (a) √ cm (b) 2 cm (c) 3 cm (d) 4 cm 25. The radii of the circular ends of a frustum are 6 cm and 14 cm. If its slant height is 10cm, then its vertical height is (a) 6 cm (b) 8 cm (c) 4 cm (d) 7 cm