NextMockಪರೀಕ್ಷೆಗಳನ್ನು ಹುಡುಕಿ, ಉದಾ. SSC CGL, UPPSC, Lekhpal
UPSC PYQPrelims 2026

Civil Services Examination · ಪ್ರಶ್ನೆ 59

If the product of the HCF and LCM of two distinct numbers is the cube of one of the numbers, then which of the following statements is/are correct? I. The difference of the numbers is an even number. II. One of the numbers is a perfect square. Select the answer using the code given below.

  1. I only
  2. II only
  3. Both I and II
  4. Neither I nor II
ಉತ್ತರ ತೋರಿಸು ಮತ್ತು ವಿವರಣೆ

ಉತ್ತರ: (C) Both I and II

ವಿವರಣೆ

HCF × LCM = ab = a³, so b = a². Then b is a perfect square, and b - a = a(a - 1), a product of consecutive integers, which is even.