1.If a die is thrown once, the probability of getting a prime number is

(a) 14

(b) 12

(c) 15

(d) 13

Answer: (b) 12

2.Cards each marked with one of the numbers 4, 5, 6 …20 are put in a box and mixed thoroughly. One card is drawn at random from the box. The probability of getting an even prime number is

(a) 0

(b) 120

(c) 1

(d) 12

Answer: (a) 0

3.A fair die is cast in the game of ‘Ludo’. The probability of getting a score greater than 6 is

(a) 1

(b) 16

(c) zero

(d) 23

Answer: (c) zero

4.The probability that a non leap year selected at random will contain 53 Sunday’s is

(a) 17

(b) 27

(c) 37

(d) 57

Answer: (a) 17

5.A bag contains cards which are numbered from 2 to 90. A card is drawn at random from the bag. The probability that it bears a two digit number is:

(a) 8890

(b) 8892

(c) 8189

(d) 8990

Answer: (c) 8189

6.The probability of getting one head is

(a) 12

(b) 14

(c) 34

(d) None of these

Answer: (a) 12

7.A number is selected at random from 1 to 75. The probability that it is a perfect square is

(a) 445

(b) 1075

(c) 675

(d) 875

Answer: (d) 875

8.Three face cards of spade are removed from a well shuffled pack of 52 cards and a card is drawn from the remaining pack. The probability of getting a black face card is

(a) 1250

(b) 749

(c) 349

(d) 950

Answer: (c) 349

9.Ram and Shyam are friends. The probability that both will have the same birth day is

(a) 1365

(b) 2365

(c) 364365

(d) none of these

Answer: (a) 1365

10.Find the probability of getting a number greater than 2 when a die is thrown

(a) 16

(b) 26

(c) 46

(d) 23

Answer: (d) 23

11. The decimal form of 129225775 is

(a) terminating

(b) non-termining

(c) non-terminating non-repeating

(d) none of the above

Answer: c

12. HCF of 8, 9, 25 is

(a) 8

(b) 9

(c) 25

(d) 1

Answer: d

13. Which of the following is not irrational?

(a) (2 – √3)2

(b) (√2 + √3)2

(c) (√2 -√3)(√2 + √3)

(d)27√7

Answer: c

14. The product of a rational and irrational number is

(a) rational

(b) irrational

(c) both of above

(d) none of above

Answer: b

15. The sum of a rational and irrational number is

(a) rational

(b) irrational

(c) both of above

(d) none of above

Answer: b

16. The product of two different irrational numbers is always

(a) rational

(b) irrational

(c) both of above

(d) none of above

Answer: b

17. The sum of two irrational numbers is always

(a) irrational

(b) rational

(c) rational or irrational

(d) one

Answer: a

18. If b = 3, then any integer can be expressed as a =

(a) 3q, 3q+ 1, 3q + 2

(b) 3q

(c) none of the above

(d) 3q+ 1

Answer: a

19. The product of three consecutive positive integers is divisible by

(a) 4

(b) 6

(c) no common factor

(d) only 1

Answer: b

20. The set A = {0,1, 2, 3, 4, …} represents the set of

(a) whole numbers

(b) integers

(c) natural numbers

(d) even numbers

Answer: a

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