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If c is a positive integer less then 8, and D = 3,563 - c,

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Tyr
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If c is a positive integer less then 8, and D = 3,563 - c, [#permalink] New post   29 Apr 2005, 17:32
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If c is a positive integer less then 8, and D = 3,563 - c, what is the value of D?

(1) D is a multiple of 4
(2) D is a multiple of 5

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Re: DS [#permalink] New post   29 Apr 2005, 17:38
(1) D is a multiple of 4
(2) D is a multiple of 5[/quote]

c = {1..7}
D = 3563 - {1..7} = {3556..3562}

(1) implies D is a multiple of 4 => D = {3556, 3560}. Insufficient.
(2) implies D is a multiple of 5 => D = {3560}. Sufficient.

(B).
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Re: DS [#permalink] New post   29 Apr 2005, 21:06
What if C is a positive integer less then 8, and D = 3,563 - C, what is the value of D?

(1) C is a multiple of 1 and 4
(2) C is a multiple of 5
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[#permalink] New post   06 May 2005, 01:37
My answer is B as well. I have a different way to solve this problem.

C = {1,2,3,4,5,6,7}

Hence D= {3556,3557,3558,3559,3660,3661,3662}

From statement 1, D is divisible by 4. A short cut to see If a number is divisible by 4 is to check if the last two digits of the number is divisible by 4. In the above set - D only 3556 and 3660 are divisible by 4. Since we have more than one answer Statement 1 is not sufficient.

From statement 2, D is divisible by 5. Which means the unit digit should either be 5 or 0. 3660 is the only number that satisfies this. Hence statement 2 is just sufficient to answer the question.
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