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(141)2 – (28)2

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GMAT Club Legend
GMAT Club Legend
User avatar
Joined: 07 Jun 2014
Posts: 4749
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 93

Kudos [?]: 1650 [0], given: 396

CAT Tests
(141)2 – (28)2 [#permalink] New post 15 Apr 2018, 04:36
Expert's post
00:00

Question Stats:

80% (00:30) correct 20% (00:32) wrong based on 5 sessions
Quantity A
Quantity B
\((141)^2 - (28)^2\)
\((141-28)^2\)


A. Quantity A is greater.
B. Quantity B is greater.
C. The two quantities are equal.
D. The relationship cannot be determined from the information given.

Drill 1
Question: 6
Page: 511
[Reveal] Spoiler: OA

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Sandy
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GMAT Club Legend
GMAT Club Legend
User avatar
Joined: 07 Jun 2014
Posts: 4749
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 93

Kudos [?]: 1650 [0], given: 396

CAT Tests
Re: (141)2 – (28)2 [#permalink] New post 22 Apr 2018, 12:14
Expert's post
Explanation

Don’t do the arithmetic! These are common quadratic patterns.

It’s not important that x = 141 and y = 28;

Quantity A is \(x^2 - y^2 = (x + y)(x - y)\), and

Quantity B is \((x - y)(x - y).\)

Since (x – y) is a positive number, you can simply compare the remaining factors after it is removed from both quantities. Since x and y are positive, (x + y) is greater than the
remaining (x – y) in Quantity B, and the answer is choice (A).
_________________

Sandy
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Re: (141)2 – (28)2   [#permalink] 22 Apr 2018, 12:14
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