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# What is the sum of 5 evenly spaced integers? 1. The middle

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Senior Manager
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What is the sum of 5 evenly spaced integers? 1. The middle [#permalink]

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05 Jan 2006, 20:36
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What is the sum of 5 evenly spaced integers?
1. The middle integer is zero.
2. Exactly 2 of the integers are negative.

I don't understand why the OA in the book is right. Pls explain your answers when responding. thank you.
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05 Jan 2006, 22:38
What is the sum of 5 evenly spaced integers?
1. The middle integer is zero.
2. Exactly 2 of the integers are negative.

Well take for example-

-6, -3, 0 (being the middle integer), 3 and 6 could be the 5 evenly spaced integers.
Since they are evenly spaced the 1st negative number when added to the 1st positive number will give you the sum 0. and likewise for the second negative and positive numbers.

hence both conditions together are sufficient.
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Re: DS-Integers from Kaplan WB 4th ed [#permalink]

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06 Jan 2006, 00:46
buckkitty wrote:
What is the sum of 5 evenly spaced integers?
1. The middle integer is zero.
2. Exactly 2 of the integers are negative.

I don't understand why the OA in the book is right. Pls explain your answers when responding. thank you.

From stmt 1 if middle int is zero, then the integers are even, and should be -4 -2 0 2 4. The sum is zero hence suff.

From stmt 2 let us assume the intergers are even then the seq should be -4 -2 0 2 4 suff. But if the seq is odd, then -3 -1 1 3 5 the sum is not zero.Hence stmt2 is insuff.

Hence A.
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Re: DS-Integers from Kaplan WB 4th ed [#permalink]

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06 Jan 2006, 04:07
krisrini wrote:
buckkitty wrote:
What is the sum of 5 evenly spaced integers?
1. The middle integer is zero.
2. Exactly 2 of the integers are negative.

I don't understand why the OA in the book is right. Pls explain your answers when responding. thank you.

From stmt 1 if middle int is zero, then the integers are even, and should be -4 -2 0 2 4. The sum is zero hence suff.

From stmt 2 let us assume the intergers are even then the seq should be -4 -2 0 2 4 suff. But if the seq is odd, then -3 -1 1 3 5 the sum is not zero.Hence stmt2 is insuff.

Hence A.

You're right, but
the integers don't have to be even. However, because we know the middle number is =0 and the the set is evenly spaced A is sufficient.
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06 Jan 2006, 06:58
OA is A. Thanks for the responses. Seems so obvious when you all explain it...
06 Jan 2006, 06:58
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