The question is about HCF and LCM. When we know the LCM of two numbers, how do we find out the LCM of another related pair of numbers. A range of CAT questions can be asked based on this simple concept. HCF-LCM from CAT Number Systems is oft tested not just in the context of CAT Number Systems but also inside CAT Quantitative Aptitude questions from other topics. 2IIM has provided fabulous questions with detailed solution for the topic of HCF-LCM in the Free CAT Question bank.

Question 8: There are 2 numbers such that a > b, HCF (a, b) = h and LCM (a, b) = l. What is the LCM of a – b and b?

- l
- (a - b) b
- (a - b) b / h
- h (a - b)

(a - b) b / h

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Given a > b, HCF = h, LCM = l

From the above we can say, HCF of (a – b, b) = h

LCM x HCF = Product of 2 numbers

(a – b)b = h x LCM

LCM = (a - b) b / h

The question is **"What is the LCM of a – b and b?"**

Choice C is the correct answer.

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