BREAKING: Target Test Prep releases Brand New 2026 On Demand GMAT prep course

Redeem

Tricky DS

This topic has expert replies
Post new topic Post Reply
Previous Topic Next Topic
User avatar
Master | Next Rank: 500 Posts
Posts: 278
Joined: Sun Jul 26, 2009 1:17 pm
Location: Bangalore,India
Thanked: 17 times

Tricky DS

by loveusonu » Sat Sep 04, 2010 7:49 am
If the integer x is greater than 1, does x = 2?

1. x is evenly divisible by exactly two positive integers.
2. The sum of any two distinct positive factors of x is odd.
Sonu
--------
When you want something desperately, the whole Universe conspires in helping to give it to you - The Alchemist
Top
Source: — Data Sufficiency |
User avatar
Legendary Member
Posts: 659
Joined: Mon Dec 14, 2009 8:12 am
Thanked: 32 times
Followed by:3 members

by Gurpinder » Sat Sep 04, 2010 8:04 am
question: x=2?

(1) x is evenly divisible by exactly two positive integers.

this is true for any prime numbers
ex. x=3 - its divisible by 1,3

hence insufficient.

(2) The sum of any two distinct positive factors of x is odd.

the keyword here is "any".
lets say x=2, factors are 2,1 and their sum is odd.

for any other x, then sum of ANY 2 will not always be odd.
for example, x=3 > 3,1 the sum is even.
if x=4 > factors are 2,2,1,4 --> 4+2 = even, 2+1 = odd.

the trick in this question is the keyword "any".

Hence (B) is sufficient!
"Do not confuse motion and progress. A rocking horse keeps moving but does not make any progress."
- Alfred A. Montapert, Philosopher.
Top
Post new topic Post Reply
• Page 1 of 1