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PS Questions

The document presents a tricky GMAT quant problem solving question where the difference between the squares of consecutive integers x and y is given to be 12,201. The key is recognizing the difference of squares formula can be applied. Using this, it is determined that x = 6,100, and the answer is choice A.

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Sahil Verma
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34 views1 page

PS Questions

The document presents a tricky GMAT quant problem solving question where the difference between the squares of consecutive integers x and y is given to be 12,201. The key is recognizing the difference of squares formula can be applied. Using this, it is determined that x = 6,100, and the answer is choice A.

Uploaded by

Sahil Verma
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as PDF, TXT or read online on Scribd
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Looking for harder GMAT quant problems to prep for your pursuit of 700+?

Stay tuned to this space, where over the


next few weeks we’ll continue to show you ways in which the GMAT can take its emphases on number properties,
divisibility, and “creative algebra” to newer, harder heights. Today we offer a tricky problem solving question; enter your
solutions and explanations in the comments field and we’ll be back later with a detailed solution.
0 < x < y and x and y are consecutive integers. If the difference between x2 and y2 = 12,201 then what is the value of x?
(A) 6,100
(B) 6,101
(C) 12,200
(D) 12,201
(E) 24,402
Solution:
The key to this seemingly labor-intensive problem is recognizing that you can apply the Difference of Squares rule. As
the given information notes that y^2 – x^2 = 12,201, that also means that, by Difference of Squares:
(y + x)(y – x) = 12,201. And since we know that they are consecutive integers, that means that y = x + 1.
So, in those terms, (2x + 1)(1) = 12201, and so 2x = 12,200. therefore x = 6100.
The correct answer is (A).

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