Number System Master Test – 50 MCQs for Competitive Exams (SSC, Banking, Railway, OSSSC, OPSC)

Number System MCQs

1. Which is the smallest prime number?

A) 0
B) 1
C) 2
D) 3

Answer: C) 2


2. Which of the following is not a prime number?

A) 11
B) 13
C) 15
D) 17

Answer: C) 15


3. The HCF of 12 and 18 is:

A) 3
B) 6
C) 9
D) 12

Answer: B) 6


4. The LCM of 8 and 12 is:

A) 24
B) 48
C) 36
D) 96

Answer: A) 24


5. How many factors does 24 have?

A) 6
B) 7
C) 8
D) 9

Answer: C) 8


6. Which number is divisible by 3?

A) 124
B) 235
C) 321
D) 401

Answer: C) 321


7. The remainder when 25 is divided by 4 is:

A) 0
B) 1
C) 2
D) 3

Answer: B) 1


8. Which is a perfect square?

A) 121
B) 122
C) 123
D) 124

Answer: A) 121


9. Square root of 144 is:

A) 11
B) 12
C) 13
D) 14

Answer: B) 12


10. Cube root of 216 is:

A) 4
B) 5
C) 6
D) 7

Answer: C) 6


11. Which number is divisible by 11?

A) 242
B) 243
C) 244
D) 245

Answer: A) 242


12. The product of HCF and LCM of two numbers equals:

A) Sum of numbers
B) Difference of numbers
C) Product of numbers
D) Square of numbers

Answer: C) Product of numbers


13. Which of the following is an even number?

A) 125
B) 237
C) 468
D) 999

Answer: C) 468


14. Binary equivalent of decimal 10 is:

A) 1010
B) 1001
C) 1100
D) 1110

Answer: A) 1010


15. Decimal equivalent of binary 101 is:

A) 4
B) 5
C) 6
D) 7

Answer: B) 5


16. Which is a composite number?

A) 7
B) 11
C) 13
D) 21

Answer: D) 21


17. Number of prime factors of 30:

A) 2
B) 3
C) 4
D) 5

Answer: B) 3


18. The successor of 999 is:

A) 998
B) 999
C) 1000
D) 1001

Answer: C) 1000


19. The predecessor of 1000 is:

A) 998
B) 999
C) 1000
D) 1001

Answer: B) 999


20. Which number is divisible by 9?

A) 324
B) 325
C) 326
D) 327

Answer: A) 324


21. HCF of 15 and 25:

A) 3
B) 5
C) 10
D) 15

Answer: B) 5


22. LCM of 5 and 7:

A) 12
B) 30
C) 35
D) 40

Answer: C) 35


23. A number divisible by both 2 and 5 must end with:

A) 0
B) 2
C) 5
D) 8

Answer: A) 0


24. Which is an irrational number?

A) 1/2
B) 0.75
C) √2
D) 5

Answer: C) √2


25. Which is a rational number?

A) π
B) √3
C) √5
D) 3/7

Answer: D) 3/7


26. The sum of first 10 natural numbers:

A) 45
B) 50
C) 55
D) 60

Answer: C) 55


27. The smallest natural number is:

A) 0
B) 1
C) 2
D) -1

Answer: B) 1


28. The smallest whole number is:

A) 0
B) 1
C) -1
D) 2

Answer: A) 0


29. Which number is neither prime nor composite?

A) 0
B) 1
C) 2
D) 3

Answer: B) 1


30. The units digit of 7²³ is:

A) 1
B) 3
C) 7
D) 9

Answer: B) 3


31. 2⁵ equals:

A) 16
B) 24
C) 32
D) 64

Answer: C) 32


32. 3³ equals:

A) 9
B) 18
C) 27
D) 81

Answer: C) 27


33. Which is a perfect cube?

A) 125
B) 126
C) 127
D) 128

Answer: A) 125


34. Greatest 3-digit number:

A) 999
B) 1000
C) 998
D) 990

Answer: A) 999


35. Smallest 4-digit number:

A) 999
B) 1000
C) 1001
D) 1111

Answer: B) 1000


36. Number of zeros in 1000:

A) 2
B) 3
C) 4
D) 5

Answer: B) 3


37. Which is divisible by 4?

A) 214
B) 216
C) 218
D) 222

Answer: B) 216


38. Remainder when 99 is divided by 10:

A) 0
B) 1
C) 9
D) 10

Answer: C) 9


39. Prime factorization of 36:

A) 2² × 3²
B) 2 × 3²
C) 2² × 3
D) 6²

Answer: A) 2² × 3²


40. HCF of 24, 36 and 60:

A) 6
B) 12
C) 18
D) 24

Answer: B) 12


41. LCM of 4, 6 and 8:

A) 12
B) 18
C) 24
D) 48

Answer: C) 24


42. Number of divisors of 36:

A) 7
B) 8
C) 9
D) 10

Answer: C) 9


43. Which is an odd prime number?

A) 2
B) 4
C) 9
D) 11

Answer: D) 11


44. The sum of digits of 987:

A) 22
B) 23
C) 24
D) 25

Answer: C) 24


45. A number ending in 5 is always divisible by:

A) 2
B) 3
C) 5
D) 10

Answer: C) 5


46. Which number is divisible by both 3 and 9?

A) 72
B) 74
C) 76
D) 78

Answer: A) 72


47. The remainder when 100 is divided by 7:

A) 1
B) 2
C) 3
D) 4

Answer: B) 2


48. Which is a twin prime pair?

A) 11, 13
B) 12, 14
C) 15, 17
D) 21, 23

Answer: A) 11, 13


49. The greatest common factor of 48 and 72:

A) 12
B) 24
C) 36
D) 48

Answer: B) 24


50. Which number is not divisible by 2?

A) 102
B) 204
C) 305
D) 408

Answer: C) 305

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