Set \(X\) consists of exactly four distinct integers that are greater than \(1.\) For each integer in the set, all of

This topic has expert replies
Legendary Member
Posts: 2898
Joined: 07 Sep 2017
Thanked: 6 times
Followed by:5 members

Timer

00:00

Your Answer

A

B

C

D

E

Global Stats

Set \(X\) consists of exactly four distinct integers that are greater than \(1.\) For each integer in the set, all of that integer’s unique prime factors are also in the set. For example, if \(20\) is in set \(X,\) then \(2\) and \(5\) must also be in set \(X.\) How many of the distinct integers in set \(X\) are prime?

(1) The product of the integers in set \(X\) is divisible by \(36.\)

(2) The product of the integers in set \(X\) is divisible by \(60.\)

Answer: B

Source: Manhattan GMAT