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SSC MTS Number System Questions with Answers & Explanations

20 Number System questions from the Session I: Numerical & Mathematical Ability section of SSC MTS, 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 38058 is divided by 7?

  1. A2
  2. B6
  3. C4
  4. D5
Show answer
Answer: (B) 6 38058 = 7 × 5436 + 6.
Question 2

What is the square root of 8464?

  1. A94
  2. B89
  3. C91
  4. D92
Show answer
Answer: (D) 92 92 × 92 = 8464.
Question 3

What is the LCM of 18 and 24?

  1. A72
  2. B78
  3. C144
  4. D432
Show answer
Answer: (A) 72 LCM = HCF × 3 × 4 = 72.
Question 4

What is the value of 84² − 47²?

  1. A4747
  2. B4847
  3. C4884
  4. D1369
Show answer
Answer: (B) 4847 a² − b² = (a + b)(a − b) = 131 × 37 = 4847.
Question 5

What is the unit digit of 4^98?

  1. A6
  2. B0
  3. C8
  4. D4
Show answer
Answer: (A) 6 Unit digits of powers of 4 repeat in a cycle of 4; 98 mod 4 = 2, so the unit digit is 6.
Question 6

What is the remainder when 87331 is divided by 7?

  1. A2
  2. B5
  3. C3
  4. D6
Show answer
Answer: (D) 6 87331 = 7 × 12475 + 6.
Question 7

What is the square root of 6561?

  1. A78
  2. B83
  3. C80
  4. D81
Show answer
Answer: (D) 81 81 × 81 = 6561.
Question 8

What is the sum of the first 89 natural numbers?

  1. A3916
  2. B7921
  3. C4094
  4. D4005
Show answer
Answer: (D) 4005 Sum = n(n + 1)/2 = 89 × 90/2 = 4005.
Question 9

What is the LCM of 18 and 42?

  1. A126
  2. B252
  3. C756
  4. D63
Show answer
Answer: (A) 126 LCM = HCF × 3 × 7 = 126.
Question 10

What is the value of 87² − 49²?

  1. A5268
  2. B5068
  3. C5168
  4. D1444
Show answer
Answer: (C) 5168 a² − b² = (a + b)(a − b) = 136 × 38 = 5168.

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Question 11

What is the unit digit of 13^76?

  1. A0
  2. B1
  3. C3
  4. D4
Show answer
Answer: (B) 1 Unit digits of powers of 3 repeat in a cycle of 4; 76 mod 4 = 0, so the unit digit is 1.
Question 12

What is the remainder when 60850 is divided by 9?

  1. A0
  2. B2
  3. C8
  4. D1
Show answer
Answer: (D) 1 60850 = 9 × 6761 + 1.
Question 13

What is the square root of 484?

  1. A21
  2. B19
  3. C22
  4. D23
Show answer
Answer: (C) 22 22 × 22 = 484.
Question 14

What is the sum of the first 20 natural numbers?

  1. A400
  2. B190
  3. C210
  4. D230
Show answer
Answer: (C) 210 Sum = n(n + 1)/2 = 20 × 21/2 = 210.
Question 15

What is the HCF of 60 and 84?

  1. A24
  2. B6
  3. C35
  4. D12
Show answer
Answer: (D) 12 60 = 12 × 5 and 84 = 12 × 7, so HCF = 12.
Question 16

What is the value of 61² − 29²?

  1. A2912
  2. B2780
  3. C2880
  4. D1024
Show answer
Answer: (C) 2880 a² − b² = (a + b)(a − b) = 90 × 32 = 2880.
Question 17

What is the unit digit of 9^61?

  1. A0
  2. B8
  3. C4
  4. D9
Show answer
Answer: (D) 9 Unit digits of powers of 9 repeat in a cycle of 4; 61 mod 4 = 1, so the unit digit is 9.
Question 18

What is the remainder when 29857 is divided by 17?

  1. A9
  2. B4
  3. C5
  4. D2
Show answer
Answer: (C) 5 29857 = 17 × 1756 + 5.
Question 19

What is the square root of 256?

  1. A18
  2. B16
  3. C17
  4. D15
Show answer
Answer: (B) 16 16 × 16 = 256.
Question 20

What is the sum of the first 53 natural numbers?

  1. A1484
  2. B2809
  3. C1378
  4. D1431
Show answer
Answer: (D) 1431 Sum = n(n + 1)/2 = 53 × 54/2 = 1431.

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

More Session I: Numerical & Mathematical Ability topics

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