### 2 Marks Questions for class 10 Board exam

1.Find the coordinates of the point P which divides the line joining of A (-2,5) and B (3,-5) in the ratio 2:3.

2.A card is drawn at random from a well shuffled deck of 52 cards. Find the probability of getting neither a red card nor a queen.

3.. Two dice are thrown at the same time and the product of numbers appearing on them is noted. Find the probability that the product is a prime number.

4.The HCF and LCM of two numbers are 9 and 360 respectively. If one number is 45, find the of number.

5.Find the 20th term from the last term of the AP 3,8,13,........,253.

6.In the given figure PQ is chord of length 6 cm of the circle of radius 6 cm. TP and  TQ are tangents to the circle  at points Pand Q respectively. Find angle PTQ.

7.Find the number of plates. 1.5 cm in diameter and 0.2 cm thick, that can be fitted completely inside a right circular cylinder of height 10 cm and diameter 4.5 cm.

8.Using Euclid's algorithm, find the HCF of 240 and 228.

9.A tree breaks due to storm and the broken part bends so that the top of the tree touches the ground making an angle of 30° with it. The distance between the foot of the tree to the point where the top touches the ground is 8 m. Find the height of the tree.

10.Find the smallest natural number by which 1,200 should be multiplied so that the square root of product is a rational number.

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