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Number System and Divisibility Questions for UPSC CSE

Free, AI-curated practice for the Number System and Divisibility section of UPSC CSE. We have 15+ verified questions in this bank. Below: 5 sample questions. Sign up free to unlock unlimited practice + AI explanations + per-topic analytics.

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Sample questions

Q1 · medium · AI-verified
How many three-digit numbers are divisible by both 4 and 6?
  1. 48
  2. 75
  3. 25
  4. 50
Q2 · medium · AI-verified
How many numbers between 1 and 200 (inclusive) are divisible by 3 but not by 9?
  1. 44
  2. 22
  3. 45
  4. 66
Q3 · medium · AI-verified
The LCM of two numbers is 180 and their HCF is 12. If one number is 36, what is the other number?
  1. 48
  2. 60
  3. 72
  4. 90
Q4 · medium · AI-verified
The HCF of two numbers is 16 and their LCM is 192. If one number is 48, what is the other?
  1. 96
  2. 64
  3. 32
  4. 128
Q5 · medium · AI-verified
The product of two co-prime numbers is 117. What is their LCM?
  1. 1
  2. 117
  3. 9
  4. 13
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