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RRB JE Number System Questions with Answers & Explanations

20 Number System questions from the Mathematics section of RRB JE, each with the correct answer and a worked explanation. Try each question first, then tap Show answer to check. When you're ready, take the timed chapter-wise test to see your all-India rank.

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Question 1

What is the remainder when 22658 is divided by 11?

  1. A0
  2. B9
  3. C2
  4. D1
Show answer
Answer: (B) 9 22658 = 11 × 2059 + 9.
Question 2

What is the LCM of 24 and 30?

  1. A126
  2. B120
  3. C720
  4. D60
Show answer
Answer: (B) 120 LCM = HCF × 4 × 5 = 120.
Question 3

What is the value of 97² − 23²?

  1. A8880
  2. B8780
  3. C5476
  4. D8954
Show answer
Answer: (A) 8880 a² − b² = (a + b)(a − b) = 120 × 74 = 8880.
Question 4

What is the square root of 5625?

  1. A75
  2. B72
  3. C74
  4. D77
Show answer
Answer: (A) 75 75 × 75 = 5625.
Question 5

What is the unit digit of 27^77?

  1. A7
  2. B0
  3. C3
  4. D8
Show answer
Answer: (A) 7 Unit digits of powers of 7 repeat in a cycle of 4; 77 mod 4 = 1, so the unit digit is 7.
Question 6

What is the square root of 9216?

  1. A96
  2. B93
  3. C97
  4. D95
Show answer
Answer: (A) 96 96 × 96 = 9216.
Question 7

What is the remainder when 42741 is divided by 13?

  1. A6
  2. B3
  3. C10
  4. D5
Show answer
Answer: (C) 10 42741 = 13 × 3287 + 10.
Question 8

What is the value of 92² − 14²?

  1. A8168
  2. B8346
  3. C6084
  4. D8268
Show answer
Answer: (D) 8268 a² − b² = (a + b)(a − b) = 106 × 78 = 8268.
Question 9

What is the unit digit of 8^84?

  1. A7
  2. B1
  3. C6
  4. D2
Show answer
Answer: (C) 6 Unit digits of powers of 8 repeat in a cycle of 4; 84 mod 4 = 0, so the unit digit is 6.
Question 10

What is the sum of the first 83 natural numbers?

  1. A3403
  2. B3569
  3. C3486
  4. D6889
Show answer
Answer: (C) 3486 Sum = n(n + 1)/2 = 83 × 84/2 = 3486.

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Question 11

What is the square root of 729?

  1. A24
  2. B29
  3. C26
  4. D27
Show answer
Answer: (D) 27 27 × 27 = 729.
Question 12

What is the remainder when 22144 is divided by 17?

  1. A10
  2. B1
  3. C5
  4. D3
Show answer
Answer: (A) 10 22144 = 17 × 1302 + 10.
Question 13

What is the value of 62² − 27²?

  1. A3215
  2. B3150
  3. C3115
  4. D3015
Show answer
Answer: (C) 3115 a² − b² = (a + b)(a − b) = 89 × 35 = 3115.
Question 14

What is the LCM of 36 and 60?

  1. A192
  2. B2160
  3. C180
  4. D360
Show answer
Answer: (C) 180 LCM = HCF × 3 × 5 = 180.
Question 15

What is the unit digit of 23^52?

  1. A0
  2. B8
  3. C4
  4. D1
Show answer
Answer: (D) 1 Unit digits of powers of 3 repeat in a cycle of 4; 52 mod 4 = 0, so the unit digit is 1.
Question 16

What is the sum of the first 93 natural numbers?

  1. A4278
  2. B4464
  3. C4371
  4. D8649
Show answer
Answer: (C) 4371 Sum = n(n + 1)/2 = 93 × 94/2 = 4371.
Question 17

What is the square root of 3481?

  1. A59
  2. B61
  3. C56
  4. D60
Show answer
Answer: (A) 59 59 × 59 = 3481.
Question 18

What is the remainder when 51205 is divided by 11?

  1. A2
  2. B8
  3. C0
  4. D3
Show answer
Answer: (C) 0 51205 = 11 × 4655 + 0.
Question 19

What is the value of 53² − 20²?

  1. A2509
  2. B2442
  3. C2409
  4. D2309
Show answer
Answer: (C) 2409 a² − b² = (a + b)(a − b) = 73 × 33 = 2409.
Question 20

What is the remainder when 73770 is divided by 17?

  1. A7
  2. B12
  3. C10
  4. D6
Show answer
Answer: (A) 7 73770 = 17 × 4339 + 7.

These are RankerClub practice questions written in the RRB JE pattern. They are not official SSC/IBPS/RRB papers.

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