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21 Apr 2016, 00:38
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B
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Difficulty:
15%
(low)
Question Stats:
79% (00:54) correct
21%
(01:00)
wrong
based on 89
sessions
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Not Attempted Yet
Set n is a finite set of integers. Are there any even numbers included in set n?
(1) The sum of all the integers in set n is even.
(2) The product of all the integers in set n is even.
(1) The sum of all the integers in set n is even.
(2) The product of all the integers in set n is even.
Pure algebraic questions like this one are no longer part of the GMAT Data Sufficiency syllabus.
For relevant Data Sufficiency questions, please check the Data Sufficiency forum:
Data Sufficiency Forum
Data Sufficiency Forum
21 Apr 2016, 02:35
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St1: The sum of all the integers in set n is even --> Not Sufficient
Even numbered of odd integers = even --> No, even numbers included in set n
Even numbered of even integers = even --> Yes, even numbers included in set n
St2: The product of all the integers in set n is even. --> This is possible when atleast one element in the set is even. Sufficient
Answer: B
Even numbered of odd integers = even --> No, even numbers included in set n
Even numbered of even integers = even --> Yes, even numbers included in set n
St2: The product of all the integers in set n is even. --> This is possible when atleast one element in the set is even. Sufficient
Answer: B
21 Apr 2016, 03:00
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Bunuel
Statement 1: The sum of all the integers in set n is even
Case 1: All the numbers in this set are even
In this case, the answer is YES
Case 2: There are even number of elements and all of them are odd
In this case the answer is NO
Insufficient
Statement 2: The product of all the integers in set n is even
If the product is even, then there has to be atleast one even number in the set.
Sufficient
Option B
