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06 Nov 2016, 09:24
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Is the sum of n odd integers odd?
(1) n is even.
(2) The sum is divisible by 3.
(1) n is even.
(2) The sum is divisible by 3.
stonecold
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06 Nov 2016, 09:32
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We need to check whether the sum of n odd integers odd or not.
If n=odd => e.g 3 odds => Sum will be odd.
If n=even => e.g 4 odds => the sum will be even.
So we actually need to check whether n is odd or even.
Statement 1=>N is even => Sum will be even => Sufficient
Statement 2 => sum is divisible by 3
Sum =6
Sum=15
Hence Insufficient
Hence A
If n=odd => e.g 3 odds => Sum will be odd.
If n=even => e.g 4 odds => the sum will be even.
So we actually need to check whether n is odd or even.
Statement 1=>N is even => Sum will be even => Sufficient
Statement 2 => sum is divisible by 3
Sum =6
Sum=15
Hence Insufficient
Hence A
06 Nov 2016, 09:55
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Bunuel
Is the sum of n odd integers odd?
(1) n is even.
(2) The sum is divisible by 3.
FROM STATEMENT - I ( SUFFICIENT )(1) n is even.
(2) The sum is divisible by 3.
Sum of even number of odd integers is always even...
Hence, The sum of even numbers of Odd integers will be Even.
FROM STATEMENT - II ( INSUFFICIENT )
Let n = 3 ( Odd )
Sum of first 3 Odd numbers is 9 ( ie, 1 + 3 + 5 ) which is divisible by 3
Let n = 6 (Even)
Sum of first 6 Odd numbers is 36 ( ie, 1 + 3 + 5 +7 + 9 + 11 ) which is divisible by 3
Thus no unique solution can be obtained...
Hence, Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked., answer will be (A)
