Is A > B ?

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gmatdriller: Master | Next Rank: 500 Posts; Posts: 418; Joined: Sun Jul 04, 2010 12:48 pm; Thanked: 6 times; Followed by:3 members

Is A > B ?

by gmatdriller » Sat Dec 03, 2011 5:41 am

If A and B are on the opposite sides of zero, is A > B?

(1) A + B > 0
(2) The distance of A from zero is three times the distance of B from zero.

Your opinion please...

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Source: Beat The GMAT — Data Sufficiency | Sat Dec 03, 2011 5:41 am

kanwar86: Senior | Next Rank: 100 Posts; Posts: 99; Joined: Thu Jun 09, 2011 2:09 pm; Thanked: 11 times

by kanwar86 » Sat Dec 03, 2011 5:51 am

gmatdriller wrote:If A and B are on the opposite sides of zero, is A > B?

(1) A + B > 0
(2) The distance of A from zero is three times the distance of B from zero.

Your opinion please...

Consider A+B>0...1)
Take A=-2, B=4, condition 1) is satisfied. (A<B)
Take A=4, B=-2, condition 1) is satisfied. (A>B)
Hence, insufficient. (No unique answer)

Consider statement 2)
A=-6, B=2. Condition 2) is satisfied. (A<B)
A=6, B=-2. Condition 2) is satisfied. (A>B)
Insufficient. (No unique answer)

Taking both conditions together.
A+B>0 and distance of A from 0 = 3* distance of B from 0.

Take A=-6, B=2. A+B>0 (not satisfied)
A=6, B=-2 ......satisfies both conditions. (A>B)
A=-2, B=6 ....satisfies 1) but not 2)
Hence, only when A is greater than B, both conditions are satisfied.
Correct answer is C)

Regards

Kanwar

"In case my post helped, do care to thank. Happy learning

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gmatdriller: Master | Next Rank: 500 Posts; Posts: 418; Joined: Sun Jul 04, 2010 12:48 pm; Thanked: 6 times; Followed by:3 members