# Quantitative Aptitude :: H.C.F and L.C.M - Discussion

**Home**>

**Quantitative Aptitude**>

**H.C.F and L.C.M**>

**MCQs Questions Discussion**

4 / 28

**Choose the correct option.**

## Let p and q be two prime numbers such that p is greater than q. If 319 is their LCM then the difference of thrice of q and p is:

A1

B0

C4

D9

**Answer:**

**Option (Login/Signup)**

**
Show Explanation**

Solution: We know that HCF of two prime numbers is 1.

Product of HCF and LCM = 1 x 319 = 319.

Remember that, Product of two number = Product of their HCF and LCM

pq = 319

Now, co-primes with product 319 are (1,319) and (29,11)

Since p > q, p = 29 and q = 11

Then 3q - p = 3 - 29 = 4.

**Asked In :: **

STEP-BY-STEP

Solution: We know that HCF of two prime numbers is 1.

Product of HCF and LCM = 1 x 319 = 319.

Remember that, Product of two number = Product of their HCF and LCM

pq = 319

Now, co-primes with product 319 are (1,319) and (29,11)

Since p > q, p = 29 and q = 11

Then 3q - p = 3 - 29 = 4.

Read Full Answer

Report Error

Please Login First Click Here

## Login

Or

Register Here...## Register

## Register As