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If x and y are both nonzero integers, is 25% of xy greater than x?

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If x and y are both nonzero integers, is 25% of xy greater than x?  [#permalink]

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New post 29 Feb 2016, 09:56
00:00
A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

76% (01:35) correct 24% (01:23) wrong based on 156 sessions

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Re: If x and y are both nonzero integers, is 25% of xy greater than x?  [#permalink]

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New post 03 Mar 2016, 22:26
Bunuel wrote:
If x and y are both nonzero integers, is 25% of x^y greater than x?

(1) x is positive
(2) y is even


For both statements saperatly and combined as well
consider x=1,y=2 then (1^2)/4 <1 ans NO
consider x=8 Y=2then (8^2)/4 >8 ans YES.

so E.
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Re: If x and y are both nonzero integers, is 25% of xy greater than x?  [#permalink]

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New post 06 Mar 2016, 03:09
Forget conventional ways of solving math questions. In DS, Variable approach is the easiest and quickest way to find the answer without actually solving the problem. Remember equal number of variables and independent equations ensures a solution.

If x and y are both nonzero integers, is 25% of x^y greater than x?

(1) x is positive
(2) y is even


When you modify the original condition and the question, they become 25%x^y>x, (1/4)x^y>x?, x^y>4x? and there are 2 variables(x,y), which should match with the number of equations. So you need 2 equations. For 1) 1 equation, for 2) 1 equation, which is likely to make C the answer.
When 1) & 2), x=1, y=2 -> no and x=3 y=4 -> yes, which is not sufficient.
Therefore, the answer is E.


 For cases where we need 2 more equations, such as original conditions with “2 variables”, or “3 variables and 1 equation”, or “4 variables and 2 equations”, we have 1 equation each in both 1) and 2). Therefore, there is 70% chance that C is the answer, while E has 25% chance. These two are the majority. In case of common mistake type 3,4, the answer may be from A, B or D but there is only 5% chance. Since C is most likely to be the answer using 1) and 2) separately according to DS definition (It saves us time). Obviously there may be cases where the answer is A, B, D or E.
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Re: If x and y are both nonzero integers, is 25% of xy greater than x?  [#permalink]

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New post 17 Jan 2019, 12:20
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Re: If x and y are both nonzero integers, is 25% of xy greater than x?   [#permalink] 17 Jan 2019, 12:20
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