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# Is a sum of three integers A, B, and C even? (1) A+B=A (2)

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SVP
Joined: 03 Feb 2003
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Is a sum of three integers A, B, and C even? (1) A+B=A (2) [#permalink]  29 May 2003, 02:36
Is a sum of three integers A, B, and C even?

(1) A+B=A
(2) B+C=A
Manager
Joined: 22 Apr 2003
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Re: sum [#permalink]  29 May 2003, 08:28
stolyar wrote:
Is a sum of three integers A, B, and C even?

(1) A+B=A
(2) B+C=A

For this question, I voted B.
Is it right?
Founder
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[#permalink]  29 May 2003, 16:06
Expert's post
I like this question.

At first it may seem that the fastest way is picking numbers, as always -

3+3 = 6 sum even
2+3 = 5 sum is even
3+0 = 3 sum is odd
4+0 = 4 sum is even

But it does not really lead us to anything.

Let's try the formulae:

(1) B=0
(2) C=A
Combine and we get that the sum of the integers is 2A - always even - screw the numbers.

-=-
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[#permalink]  29 May 2003, 21:12
I guess B

first, statement I show only the value of B, if A =2 B= 0 C= 3
the sum of three numbers is odd. however if A=2 B=0 C =4
the sum of three numbers is even. Thus, insufficient.

From statement II, it means that the outcome will always be 2*(B+C).
Hence. sufficient.

All thing considered, the answer is utterly B
SVP
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[#permalink]  29 May 2003, 21:24
I like that you like my questions.
Yes, it is B.
Manager
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[#permalink]  30 May 2003, 01:37
U R THE UNDISPUTED LEADER

WHAT A BEAUTY OF A QUESTION

HATS OFF TO STOLYAR

UNBELIEVABLE...TO THINK OF SUCH A QUESTION IS TOO GOOD...........
[#permalink] 30 May 2003, 01:37
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# Is a sum of three integers A, B, and C even? (1) A+B=A (2)

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