# Arithmetic Aptitude :: H.C.F and L.C.M

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**Discussion**

## 6. Let 13 and 273 are the HCF and LCM of two numbers respectively, and if one of them is less than 140 and greater than 60 then what will be that number?

**Answer:**

**Option B**

**Explanation :**

Solution: Product of two number = Product of their HCF and LCM

pq = 13*273

pq = 3549.

Now, co-primes with product 3549 are (1,3549), (21,169), (39,91) and (13,273)

Acc. to the condition given in the question only one satisfy them that is (39,91)

So the answer is 91.

**Asked In :: **
IBM

Solution: Product of two number = Product of their HCF and LCM

pq = 13*273

pq = 3549.

Now, co-primes with product 3549 are (1,3549), (21,169), (39,91) and (13,273)

Acc. to the condition given in the question only one satisfy them that is (39,91)

So the answer is 91.

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