Number System

J&K Bank PO · Quantitative Aptitude · 99 practice questions with answers and explanations: 45 Easy, 49 Medium, 5 Hard.

Sample questions

Sample Easy question 1

Find the number of multiples of 15 between 1 and 500.

  1. 31
  2. 32
  3. 34
  4. 33
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Answer: D. 500/15 = 33.3, so there are 33 multiples.

Sample Easy question 2

Find the number of multiples of 12 between 1 and 1000.

  1. 84
  2. 83
  3. 81
  4. 82
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Answer: B. 1000/12 = 83.3, so there are 83 multiples.

Sample Easy question 3

The product of two numbers is 2016 and their HCF is 12. Find their LCM.

  1. 165
  2. 168
  3. 171
  4. 162
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Answer: B. LCM = product/HCF = 2016/12 = 168.

Sample Medium question 4

Find the number of distinct prime factors of 210 (= 2×3×5×7).

  1. 3
  2. 2
  3. 5
  4. 4
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Answer: D. 210 has exactly 4 distinct prime factors: 2, 3, 5, and 7.

Sample Medium question 5

Find the number of distinct prime factors of 60.

  1. 2
  2. 5
  3. 4
  4. 3
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Answer: D. 60 = 2²×3×5, which has 3 distinct prime factors: 2, 3, 5.

Sample Medium question 6

If a number is divisible by both 4 and 9, it must also be divisible by:

  1. 30
  2. 36
  3. 24
  4. 40
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Answer: B. Since 4 and 9 are coprime, their LCM is 36, and any number divisible by both must be divisible by 36.

Sample Hard question 7

Find the number of digits in 2³⁰ (use log₁₀2 ≈ 0.30103).

  1. 11
  2. 9
  3. 8
  4. 10
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Answer: D. 30 × 0.30103 ≈ 9.03; number of digits = ⌊9.03⌋ + 1 = 10.

Sample Hard question 8

Find the number of digits in 5¹⁵ (use log₁₀5 ≈ 0.69897).

  1. 12
  2. 10
  3. 9
  4. 11
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Answer: D. 15 × 0.69897 ≈ 10.48; number of digits = ⌊10.48⌋ + 1 = 11.

Sample Hard question 9

Find the remainder when 23²³ is divided by 24.

  1. 19
  2. 1
  3. 23
  4. 11
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Answer: C. 23 ≡ -1 (mod 24); (-1)²³ = -1 ≡ 23 (mod 24).

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