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If C and D are unique integers, does C = 0?

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If C and D are unique integers, does C = 0? [#permalink]

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New post 17 Feb 2015, 09:17
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E

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Re: If C and D are unique integers, does C = 0? [#permalink]

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New post 17 Feb 2015, 11:36
Bunuel wrote:
If C and D are unique integers, does C = 0?

(1) CD = C^2
(2) D = 4

Kudos for a correct solution.


Question : Is C=0 ?

Statement 1: CD = C^2
Since C and D are Integers therefore the above equation can be re-written as

C (C-D) =0
i.e. either C=0 or C=D
but Since C and D are distinct therefore C can't be equal to D
therefore , C= 0
SUFFICIENT

Statement 2: D = 4
i.e. C can be any Integer value other than 4, But this doesn't provide us any unique value therefore
NOT SUFFICIENT

Answer: Option
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Re: If C and D are unique integers, does C = 0? [#permalink]

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New post 17 Feb 2015, 23:16
1
IS C=0? A=> c^2-CD=0 and C not equal to D that implies Cmust be 0 Hence sufficient .. Statement2 tells D=4 not sufficient Hence A.
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Re: If C and D are unique integers, does C = 0? [#permalink]

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New post 22 Feb 2015, 11:33
Bunuel wrote:
If C and D are unique integers, does C = 0?

(1) CD = C^2
(2) D = 4



Kudos for a correct solution.


VERITAS PREP OFFICIAL SOLUTION

Correct Answer: A

From statement 1, we know that, if C was NOT 0, the equation could be manipulated to tell us that D = C. Since the question says that is not possible, we know that C must be 0, so statement 1 is sufficient. Statement 2 only tells us that C is not 4. C could be 0, but it could also be anything else with the exception of 4. A is the correct answer.
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Re: If C and D are unique integers, does C = 0? [#permalink]

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New post 22 Feb 2015, 21:59
If C and D are unique integers, does C = 0?

(1) CD = C^2
(2) D = 4



State (1) C*D = C*C
C is not equal to D So, C=0
Sufficient

State(2) Not sufficient

Answer - A
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Re: If C and D are unique integers, does C = 0? [#permalink]

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New post 22 Sep 2015, 11:37
C and D are unique .so C is not equal to D

option1: CxD=C^2 to achive this only possibilty is D=-C.here both are unique and their product gives C^2
Here C cant be zero as if c=0,the CD= C^2=0

Option2: D=4..Not sufficient

Hence answer is 'A'
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Re: If C and D are unique integers, does C = 0? [#permalink]

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New post 30 Mar 2017, 14:33
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Re: If C and D are unique integers, does C = 0?   [#permalink] 30 Mar 2017, 14:33
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