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What is the value of (x - y)^4? (1) The product of x and y [#permalink]
22 Jun 2008, 06:44
Question Stats:
35% (01:52) correct
64% (00:29) wrong based on 1 sessions
What is the value of (x - y)^4? (1) The product of x and y is 7. (2) x and y are integers.
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Current Student
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Re: DS: value of (x - y)^4 [#permalink]
22 Jun 2008, 07:07
looks to be C
(x-y)^4?
xy=7..ok, well if x=7 y=1.. you get 6^4..
or you could have x=14 y=1/2 then 13.5^4..isnuff
2) is clearly insuff
together..
xy=7..x and y integers..we know 7 is a prime..so x=7 y=1 or y=7 x=1..either way ans is 6^4
C it is.
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Re: DS: value of (x - y)^4 [#permalink]
22 Jun 2008, 07:11
ritula wrote: What is the value of (x - y)^4? (1) The product of x and y is 7. (2) x and y are integers. Should be C. If x and y are integers and the product of x and y is 7 then we can determine the value of x and y...which is either 1 and 7 or 7 and 1. Both cases generate same value of (x-y)^4, which is 6^4.
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Re: DS: value of (x - y)^4 [#permalink]
22 Jun 2008, 11:20
The key is that product is a prime number...makes our life easier...Only way to have a product 7 is x=7, y=1 or x=1, y = 7 when both are integers...
Also, an even power for x-y makes it a C....for any off power of x-y, this would have been E, as you will get a positive and a negative solution...
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Re: DS: value of (x - y)^4 [#permalink]
22 Jun 2008, 23:25
yes OA is C indeed. thanks !
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Re: DS: value of (x - y)^4 [#permalink]
23 Jun 2008, 00:06
Also do not ignore the fact that x and y can be negative (-1 and -7 or -7 and -1). In either case, the answer will be C.
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Re: DS: value of (x - y)^4 [#permalink]
09 Dec 2009, 09:40
1
This post received KUDOS
Statement 1 ---------------Insufficient
X can be 7 when Y is 1 or X can be 1/7 when Y is 7 and so on……
Multiple answers, hence insufficient
Statement 2 --------------CLEARLY INSUFFICIENT (No info about the numbers)
Combining the two,
Since they are both integers and 7 happens to be a prime number divisible by 1 and 7 only, the numbers are 7 and 1
Whether y is 7 or 1 (Same with x), does not matter as the power (4 in this case) is even which will give the same positive result
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Re: DS: value of (x - y)^4 [#permalink]
18 Sep 2011, 03:32
i have to say nice question..totally deceive me....
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Re: DS: value of (x - y)^4 [#permalink]
18 Sep 2011, 21:15
Looks like a straight C.
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Re: DS: value of (x - y)^4
[#permalink]
18 Sep 2011, 21:15
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