If c & d are positive, is d an integer

This topic has expert replies
Senior | Next Rank: 100 Posts
Posts: 88
Joined: Tue Jul 15, 2008 1:43 am
Thanked: 3 times
Followed by:1 members
GMAT Score:590

If c & d are positive, is d an integer

by eccentric » Sun Jul 22, 2012 5:18 pm
If c & d are positive, is d an integer ?
i) c=d^3
ii) d=sqrt{c)

User avatar
Legendary Member
Posts: 520
Joined: Sat Apr 28, 2012 9:12 pm
Thanked: 339 times
Followed by:49 members
GMAT Score:770

by eagleeye » Sun Jul 22, 2012 5:26 pm
eccentric wrote:If c & d are positive, is d an integer ?
i) c=d^3
ii) d=sqrt{c)
i) c=d^3

c,d can be anything. d isn't necessarily an integer. Insufficient.

ii) d=sqrt{c)

Again, c,d can be anything. d isn't necessarily an integer.

Together:
Now From 1: c=d^3
From 2: c = d^2.

Hence d^3=d^2.
d^2(d-1)=0. Since d is positive, d is not 0. Hence d=1. So d is an integer. Sufficient.

C is correct.