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x is a positive integer and y is a negative integer.
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06 Mar 2018, 15:46
06 Mar 2018, 15:46
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Question Stats:
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x is a positive integer and y is a negative integer.
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.
Kudos to the right solution and explanation
Quantity A |
Quantity B |
x - y |
y - x |
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.
Kudos to the right solution and explanation
Sherpa Prep Representative
Joined: 15 Jan 2018
Posts: 147
Given Kudos: 0
Re: x is a positive integer and y is a negative integer.
[#permalink]
06 Mar 2018, 18:45
06 Mar 2018, 18:45
1
Expert Reply
For quantity A, if a positive subtracts a negative, the negatives will cancel, and we will produce a positive plus another positive. So quantity A is positive.
For quantity B, if a negative subtracts a positive, it will produce another negative.
Since quantity A is positive and quantity B is negative, the answer must be A.
METHOD TWO: If using number properties seems a little fuzzy, you could always try choosing values for x and y. For example:
If x = 4 and y = -2,
then quantity A is 4 - (-2) = 6
and quantity B is -2 - 4 = -6
proving that A is the answer.
METHOD THREE: we can also treat the two quantities as an inequality.
x - y >? y - x
add x to both sides
2x - y >? y
add y to both sides
2x >? 2y
We can see that two times a positive will be larger than two times a negative, proving again that the answer is A.
For quantity B, if a negative subtracts a positive, it will produce another negative.
Since quantity A is positive and quantity B is negative, the answer must be A.
METHOD TWO: If using number properties seems a little fuzzy, you could always try choosing values for x and y. For example:
If x = 4 and y = -2,
then quantity A is 4 - (-2) = 6
and quantity B is -2 - 4 = -6
proving that A is the answer.
METHOD THREE: we can also treat the two quantities as an inequality.
x - y >? y - x
add x to both sides
2x - y >? y
add y to both sides
2x >? 2y
We can see that two times a positive will be larger than two times a negative, proving again that the answer is A.
gmatclubot
Re: x is a positive integer and y is a negative integer. [#permalink]
06 Mar 2018, 18:45
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