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SSC GD Constable Number System Questions with Answers & Explanations

20 Number System questions from the Elementary Mathematics section of SSC GD Constable, 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.

Question 1

What is the HCF of 40 and 56?

  1. A40
  2. B8
  3. C16
  4. D35
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Answer: (B) 8 40 = 8 Γ— 5 and 56 = 8 Γ— 7, so HCF = 8.
Question 2

What is the remainder when 22325 is divided by 13?

  1. A5
  2. B4
  3. C2
  4. D1
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Answer: (B) 4 22325 = 13 Γ— 1717 + 4.
Question 3

What is the square root of 1936?

  1. A44
  2. B45
  3. C46
  4. D43
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Answer: (A) 44 44 Γ— 44 = 1936.
Question 4

What is the unit digit of 13^26?

  1. A5
  2. B3
  3. C2
  4. D9
Show answer
Answer: (D) 9 Unit digits of powers of 3 repeat in a cycle of 4; 26 mod 4 = 2, so the unit digit is 9.
Question 5

What is the sum of the first 95 natural numbers?

  1. A4655
  2. B9025
  3. C4465
  4. D4560
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Answer: (D) 4560 Sum = n(n + 1)/2 = 95 Γ— 96/2 = 4560.
Question 6

What is the sum of the first 78 natural numbers?

  1. A3003
  2. B6084
  3. C3081
  4. D3159
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Answer: (C) 3081 Sum = n(n + 1)/2 = 78 Γ— 79/2 = 3081.
Question 7

What is the HCF of 54 and 126?

  1. A18
  2. B9
  3. C36
  4. D54
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Answer: (A) 18 54 = 18 Γ— 3 and 126 = 18 Γ— 7, so HCF = 18.
Question 8

What is the remainder when 67727 is divided by 17?

  1. A10
  2. B0
  3. C16
  4. D2
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Answer: (C) 16 67727 = 17 Γ— 3983 + 16.
Question 9

What is the unit digit of 27^29?

  1. A7
  2. B5
  3. C1
  4. D8
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Answer: (A) 7 Unit digits of powers of 7 repeat in a cycle of 4; 29 mod 4 = 1, so the unit digit is 7.
Question 10

What is the value of 68Β² βˆ’ 23Β²?

  1. A4140
  2. B4195
  3. C2025
  4. D4095
Show answer
Answer: (D) 4095 aΒ² βˆ’ bΒ² = (a + b)(a βˆ’ b) = 91 Γ— 45 = 4095.

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Question 11

What is the square root of 1444?

  1. A35
  2. B37
  3. C40
  4. D38
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Answer: (D) 38 38 Γ— 38 = 1444.
Question 12

What is the sum of the first 25 natural numbers?

  1. A350
  2. B325
  3. C300
  4. D625
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Answer: (B) 325 Sum = n(n + 1)/2 = 25 Γ— 26/2 = 325.
Question 13

What is the LCM of 54 and 72?

  1. A216
  2. B3888
  3. C234
  4. D432
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Answer: (A) 216 LCM = HCF Γ— 3 Γ— 4 = 216.
Question 14

What is the remainder when 63583 is divided by 9?

  1. A2
  2. B6
  3. C7
  4. D0
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Answer: (C) 7 63583 = 9 Γ— 7064 + 7.
Question 15

What is the unit digit of 9^85?

  1. A9
  2. B1
  3. C7
  4. D2
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Answer: (A) 9 Unit digits of powers of 9 repeat in a cycle of 4; 85 mod 4 = 1, so the unit digit is 9.
Question 16

What is the value of 77Β² βˆ’ 25Β²?

  1. A5404
  2. B5204
  3. C2704
  4. D5304
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Answer: (D) 5304 aΒ² βˆ’ bΒ² = (a + b)(a βˆ’ b) = 102 Γ— 52 = 5304.
Question 17

What is the square root of 2809?

  1. A55
  2. B54
  3. C53
  4. D52
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Answer: (C) 53 53 Γ— 53 = 2809.
Question 18

What is the sum of the first 92 natural numbers?

  1. A4186
  2. B4370
  3. C8464
  4. D4278
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Answer: (D) 4278 Sum = n(n + 1)/2 = 92 Γ— 93/2 = 4278.
Question 19

What is the HCF of 42 and 98?

  1. A21
  2. B14
  3. C42
  4. D7
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Answer: (B) 14 42 = 14 Γ— 3 and 98 = 14 Γ— 7, so HCF = 14.
Question 20

What is the remainder when 54523 is divided by 7?

  1. A0
  2. B6
  3. C2
  4. D5
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Answer: (A) 0 54523 = 7 Γ— 7789 + 0.

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

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