Multiple Choice Questions

Consider the following in respect of natural numbers a b and c 1 LCM ab ac a LCM b c 2 HCF ab ac a H...........

Quantitative Aptitude (CDS) LCM, HCF

Consider the following in respect of natural numbers a, b and c:

1. LCM (ab, ac) = a LCM (b , c)

2. HCF (ab, ac) = a HCF (b, c)

3. HCF (a, b) < LCM (a, b)

4. HCF (a, b) divides LCM (a, b)

Which of the above are correct?

1 and 2 only

3 and 4 only

1, 2 and 4 only

1, 2, 3 and 4

In Statement1: 'a' is common multiple and when we multiply 'a' with LCM(b,c) then we get LCM of ab and ac.So it is correct.

In Statement2: 'a' is common factor and when we multiply 'a' with HCF(b,c) then we get HCF of ab and ac.So it is correct.

In Statement3: HCF(a,b) can be equal to LCM(a,b) So it is wrong.

In Statement4:HCF of two numbers always divides .So it is correct.

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