All Exams Test series for 1 year @ ₹349 only
Question

Consider the following statements in respect of prime numbers p and q:

  • I. Their LCM is always an odd number.
  • II. Sum of their LCM and HCF is always an even number.
    Which of the statements given above is/are correct?

This question was previously asked in
CDS 2 2025 Maths Question Paper (14-Sep-2025)
The correct answer is

Neither I nor II

Since prime numbers are either 1 or themselves, their LCM is always an odd number (if they are both odd) and their HCF is 1, making the sum odd. Hence, neither statement I nor II is entirely correct. Therefore, the correct answer is (d) Neither I nor II.

Was this answer helpful?

Important Questions from LCM and HCF

  1. The greatest three-digit number which is divisible by 14, 28, and 42 is:

  2. What is the greatest number that will divide 209 and 347 leaving remainder 5 and 7 respectively?

  3. A number is three times another number and their HCF is 8. What is the sum of the squares of the numbers?

  4. The HCF of 2091, 3485 and 4879 is x. The sum of the digits of x is:

  5. If three numbers are in ratio of 3 : 5 : 7 and their LCM is 2415, what is the difference between the second number and the first number?

Need Expert Advice?
Upcoming Exams
NDA
September 13, 2026
CDS
September 13, 2026
Test Series
CDS img
Defence
UPSC CDS 2026 Mock Test Series
540 Tests 4 Tests Free
1135 Attempts
4.3(168)
English, Hindi
More Questions from CDS

Start Your Preparation with Prepp Mobile App

Download the app from Google Play & App Store
Download the app from Google Play & App Store
Prepp Mobile App