Four consecutive prime numbers p, q, r and s are taken. The produ

Four consecutive prime numbers p, q, r and s are taken. The produ
| Four consecutive prime numbers p, q, r and s are taken. The product of p, q and s is 2717, while the product of q, r and s is 4199, then find (s - q).

A. 4

B. 7

C. 8

D. 6

Please scroll down to see the correct answer and solution guide.

Right Answer is: D

SOLUTION

Given the numbers are: p, q, r and s;

pqs = 2717 and qrs = 4199

Dividing the two:

⇒ pqs/qrs = 2717/4199

⇒ p/r = 11/17

∴ p = 11, q = 13, r = 17 and s = 19

∴ (s - q) = 19 - 13 = 6