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SSC CHSL Number System Questions

4 questions on Number System for SSC CHSL, including questions from 2024 papers. Each comes with the correct answer and a worked explanation.

Questions
4
Moderate
4

Number System questions with solutions

Q1.Number SystemModerateSSC CGL 2024

The HCF and LCM of two numbers are 3 and 63 respectively. If one of the numbers is 9, what is the other number?

  1. (A)18
  2. (B)21
  3. (C)24
  4. (D)7
Show answer and explanation

Correct answer: (B) 21

For any two numbers, product of the numbers = HCF × LCM. So the other number = (3 × 63) ÷ 9 = 189 ÷ 9 = 21.

Shortcut: Other number = HCF × LCM ÷ given number.

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Q2.Number SystemModerateSSC CHSL 2024

The HCF and LCM of two numbers are 2 and 28 respectively. If one of the numbers is 4, what is the other number?

  1. (A)16
  2. (B)14
  3. (C)12
  4. (D)7
Show answer and explanation

Correct answer: (B) 14

For any two numbers, product of the numbers = HCF × LCM. So the other number = (2 × 28) ÷ 4 = 56 ÷ 4 = 14.

Shortcut: Other number = HCF × LCM ÷ given number.

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Q3.Number SystemModerateSSC CHSL 2024

The HCF and LCM of two numbers are 4 and 84 respectively. If one of the numbers is 12, what is the other number?

  1. (A)32
  2. (B)7
  3. (C)24
  4. (D)28
Show answer and explanation

Correct answer: (D) 28

For any two numbers, product of the numbers = HCF × LCM. So the other number = (4 × 84) ÷ 12 = 336 ÷ 12 = 28.

Shortcut: Other number = HCF × LCM ÷ given number.

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Q4.Number SystemModerateSSC CHSL 2024

The HCF and LCM of two numbers are 3 and 45 respectively. If one of the numbers is 9, what is the other number?

  1. (A)18
  2. (B)15
  3. (C)12
  4. (D)5
Show answer and explanation

Correct answer: (B) 15

For any two numbers, product of the numbers = HCF × LCM. So the other number = (3 × 45) ÷ 9 = 135 ÷ 9 = 15.

Shortcut: Other number = HCF × LCM ÷ given number.

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Frequently asked questions

How many SSC CHSL Number System questions can I practise here?

4 questions — 4 moderate. 4 are shown on this page with answers and explanations, and the practice set draws from all of them.

How should I practise Number System for SSC CHSL?

Read through a few solved questions first to see the method, then take a timed practice set. Afterwards, check which questions you got wrong or spent longest on and redo those before moving on.