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Number System and Simplification MCQs 2026

45 questions with detailed answers · 0 from past papers · 5 quiz batches available

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Read each question, think about the answer, then click Show Answer to reveal the correct option and explanation. Load 10 at a time so it stays manageable — perfect for one-topic study sessions on the bus or during a break.

Page 1 of 1 Questions 1–10 of 45
  1. Q1 easy

    The prime number immediately after 29 is

    1. A 31
    2. B 33
    3. C 35
    4. D 37
    💡 Explanation:

    31 is prime and is the next integer greater than 29 that has only two factors.

  2. Q2 easy

    The Roman numeral L represents

    1. A 40
    2. B 50
    3. C 60
    4. D 100
    💡 Explanation:

    In Roman numerals, L denotes fifty.

  3. Q3 easy

    The decimal 0.04 expressed as a percentage is

    1. A 0.4%
    2. B 40%
    3. C 0.04%
    4. D 4%
    💡 Explanation:

    To convert a decimal to a percentage, multiply by 100; 0.04 x 100 = 4%.

  4. Q4 easy

    A number is divisible by 9 if

    1. A sum of its digits is divisible by 9
    2. B last digit is 9
    3. C number is odd
    4. D last two digits form 9
    💡 Explanation:

    The divisibility test for 9 uses the sum of digits; if that sum is divisible by 9, the number is divisible by 9.

  5. Q5 easy

    The product of 17 and 11 is

    1. A 171
    2. B 177
    3. C 187
    4. D 197
    💡 Explanation:

    17 x 11 = 17 x (10 + 1) = 170 + 17 = 187.

  6. Q6 easy

    The average of the first five natural numbers is

    1. A 2
    2. B 3
    3. C 4
    4. D 5
    💡 Explanation:

    The first five natural numbers sum to 15, and 15 divided by 5 is 3.

  7. Q7 easy

    The reciprocal of 5/7 is

    1. A 5/12
    2. B 7/12
    3. C 7/5
    4. D 12/5
    💡 Explanation:

    The reciprocal of a fraction is obtained by interchanging numerator and denominator.

  8. Q8 easy

    The value of (3 + 5) x (12 - 7) is

    1. A 13
    2. B 25
    3. C 35
    4. D 40
    💡 Explanation:

    The brackets give 8 and 5, and 8 x 5 = 40.

  9. Q9 easy

    The cube of 6 is

    1. A 216
    2. B 36
    3. C 126
    4. D 196
    💡 Explanation:

    The cube of 6 is 6 x 6 x 6 = 216.

  10. Q10 medium

    The greatest three-digit number divisible by 8 is

    1. A 984
    2. B 992
    3. C 996
    4. D 999
    💡 Explanation:

    1000 is divisible by 8, so the greatest lower three-digit multiple is 1000 - 8 = 992.

  11. Q11 easy

    The value of 2/3 of 45 is

    1. A 20
    2. B 25
    3. C 28
    4. D 30
    💡 Explanation:

    One-third of 45 is 15, so two-thirds is 30.

  12. Q12 easy

    The decimal 1.25 is equal to

    1. A 3/2
    2. B 4/5
    3. C 5/4
    4. D 7/4
    💡 Explanation:

    1.25 = 125/100, which reduces to 5/4.

  13. Q13 easy

    The square of 14 is

    1. A 186
    2. B 196
    3. C 206
    4. D 216
    💡 Explanation:

    14^2 means 14 x 14, which equals 196.

  14. Q14 easy

    A number divisible by both 2 and 5 must end in

    1. A 2
    2. B 4
    3. C 5
    4. D 0
    💡 Explanation:

    Divisibility by 5 requires last digit 0 or 5, and divisibility by 2 requires an even last digit; only 0 satisfies both.

  15. Q15 easy

    The HCF of 45 and 60 is

    1. A 15
    2. B 20
    3. C 30
    4. D 45
    💡 Explanation:

    45 = 3^2 x 5 and 60 = 2^2 x 3 x 5, so the HCF is 3 x 5 = 15.

  16. Q16 medium

    The LCM of 8, 12 and 16 is

    1. A 24
    2. B 32
    3. C 48
    4. D 96
    💡 Explanation:

    The highest powers needed are 2^4 and 3, giving 16 x 3 = 48.

  17. Q17 easy

    The value of 6.75 - 2.8 is

    1. A 3.85
    2. B 3.95
    3. C 4.05
    4. D 4.15
    💡 Explanation:

    Writing 2.8 as 2.80 gives 6.75 - 2.80 = 3.95.

  18. Q18 easy

    The product of 25 and 16 is

    1. A 400
    2. B 300
    3. C 350
    4. D 450
    💡 Explanation:

    25 x 16 = 25 x 4 x 4 = 100 x 4 = 400.

  19. Q19 medium

    The square root of 0.0009 is

    1. A 0.003
    2. B 0.009
    3. C 0.3
    4. D 0.03
    💡 Explanation:

    Since 0.03 x 0.03 = 0.0009, the square root is 0.03.

  20. Q20 easy

    The value of 1/4 of 1/2 is

    1. A 1/6
    2. B 1/8
    3. C 1/4
    4. D 1/2
    💡 Explanation:

    Of means multiplication: 1/4 x 1/2 = 1/8.

  21. Q21 medium

    The value of 5^3 + 2^3 is

    1. A 125
    2. B 128
    3. C 133
    4. D 135
    💡 Explanation:

    5^3 = 125 and 2^3 = 8, so the sum is 133.

  22. Q22 easy

    The next number in the sequence 2, 4, 8, 16 is

    1. A 32
    2. B 24
    3. C 30
    4. D 64
    💡 Explanation:

    Each term is multiplied by 2, so the next term is 16 x 2 = 32.

  23. Q23 easy

    The value of 1000 / (10 x 5) is

    1. A 10
    2. B 20
    3. C 25
    4. D 50
    💡 Explanation:

    The denominator is 10 x 5 = 50, and 1000 / 50 = 20.

  24. Q24 medium

    The number of positive factors of 18 is

    1. A 4
    2. B 5
    3. C 7
    4. D 6
    💡 Explanation:

    The factors are 1, 2, 3, 6, 9, and 18, so there are 6.

  25. Q25 easy

    The fraction 7/10 as a decimal is

    1. A 0.07
    2. B 7.0
    3. C 0.7
    4. D 0.77
    💡 Explanation:

    Dividing 7 by 10 moves the decimal one place left, giving 0.7.

  26. Q26 easy

    The smallest odd prime number is

    1. A 3
    2. B 1
    3. C 5
    4. D 7
    💡 Explanation:

    2 is prime but even; the smallest prime that is odd is 3.

  27. Q27 medium

    The value of 0.6 x 0.05 is

    1. A 0.3
    2. B 0.003
    3. C 0.03
    4. D 3.0
    💡 Explanation:

    6 x 5 = 30 and there are three decimal places in total, so the product is 0.030 = 0.03.

  28. Q28 medium

    The value of 15 - [6 - (2 + 1)] is

    1. A 6
    2. B 9
    3. C 10
    4. D 12
    💡 Explanation:

    First 2 + 1 = 3, then 6 - 3 = 3, and finally 15 - 3 = 12.

  29. Q29 easy

    The place value of 7 in 5724 is

    1. A 70
    2. B 700
    3. C 7
    4. D 7000
    💡 Explanation:

    In 5724, the digit 7 is in the hundreds place, so its place value is 700.

  30. Q30 easy

    The value of 999 + 1 is

    1. A 1000
    2. B 9999
    3. C 1001
    4. D 990
    💡 Explanation:

    Adding 1 to 999 gives the next whole number, 1000.

  31. Q31 easy

    The value of 2^0 is

    1. A 0
    2. B 2
    3. C 1
    4. D 4
    💡 Explanation:

    Any non-zero number raised to the power 0 equals 1.

  32. Q32 easy

    The sum of the digits of 98765 is

    1. A 30
    2. B 32
    3. C 34
    4. D 35
    💡 Explanation:

    Adding the digits gives 9 + 8 + 7 + 6 + 5 = 35.

  33. Q33 easy

    The predecessor of 10000 is

    1. A 9999
    2. B 9990
    3. C 10001
    4. D 9900
    💡 Explanation:

    The predecessor is the number immediately before a given number, so 10000 - 1 = 9999.

  34. Q34 medium

    The value of 1.5 / 0.3 is

    1. A 3
    2. B 5
    3. C 0.5
    4. D 15
    💡 Explanation:

    Multiplying numerator and denominator by 10 gives 15 / 3 = 5.

  35. Q35 easy

    The LCM of 9 and 15 is

    1. A 30
    2. B 35
    3. C 45
    4. D 60
    💡 Explanation:

    9 = 3^2 and 15 = 3 x 5, so the LCM is 3^2 x 5 = 45.

  36. Q36 medium

    The value of 72 / 8 + 6 x 3 is

    1. A 21
    2. B 24
    3. C 26
    4. D 27
    💡 Explanation:

    Division and multiplication come before addition: 72 / 8 = 9 and 6 x 3 = 18, so total is 27.

  37. Q37 easy

    The value of 2^5 is

    1. A 16
    2. B 25
    3. C 32
    4. D 64
    💡 Explanation:

    2^5 means 2 multiplied by itself five times, giving 32.

  38. Q38 easy

    The sum of 1/2 and 1/3 is

    1. A 5/6
    2. B 2/5
    3. C 1/6
    4. D 3/5
    💡 Explanation:

    Using denominator 6, 1/2 = 3/6 and 1/3 = 2/6, so the sum is 5/6.

  39. Q39 easy

    The value of 5/8 of 64 is

    1. A 32
    2. B 36
    3. C 42
    4. D 40
    💡 Explanation:

    One-eighth of 64 is 8, so five-eighths is 5 x 8 = 40.

  40. Q40 medium

    The value of 9^2 - 4^2 is

    1. A 49
    2. B 56
    3. C 65
    4. D 72
    💡 Explanation:

    9^2 = 81 and 4^2 = 16, so 81 - 16 = 65.

  41. Q41 easy

    The value of 3.6 + 2.45 is

    1. A 5.95
    2. B 6.05
    3. C 6.15
    4. D 6.50
    💡 Explanation:

    Writing 3.6 as 3.60 gives 3.60 + 2.45 = 6.05.

  42. Q42 easy

    The value of 7 + 3 x 4 is

    1. A 40
    2. B 19
    3. C 28
    4. D 22
    💡 Explanation:

    Multiplication is done before addition: 3 x 4 = 12, then 7 + 12 = 19.

  43. Q43 medium

    The value of 48 / 6 + 5^2 is

    1. A 33
    2. B 25
    3. C 29
    4. D 40
    💡 Explanation:

    48 / 6 = 8 and 5^2 = 25, so the total is 8 + 25 = 33.

  44. Q44 easy

    The value of square root of 144 plus square root of 81 is

    1. A 18
    2. B 19
    3. C 20
    4. D 21
    💡 Explanation:

    The square roots are 12 and 9, and 12 + 9 = 21.

  45. Q45 easy

    The decimal 0.75 is equal to

    1. A 1/4
    2. B 2/3
    3. C 3/4
    4. D 4/5
    💡 Explanation:

    0.75 = 75/100, which reduces to 3/4 after dividing by 25.

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