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by: Bunuel
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Difficulty:
5%
(low)
Question Stats:
88% (00:29) correct
12%
(00:56)
wrong
based on 68
sessions
History
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Time
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Not Attempted Yet
What is the value of integer k?
(1) k/2 is an integer
(2) k is prime
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(1) k/2 is an integer
(2) k is prime
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
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Bunuel
(1) k/2 is an integer
K can be any even integer
Not sufficient
(2) k is prime
K can be any prime number
Not sufficient
Combining 1 and 2 , we get
K is prime and even . K is 2 .
Answer C
Ans: C
(1): k/2 is an integer
As per given statement "k" is an integer and k/2 is also an integer. Based on this k can only be multiple of 2 and it could be any value like 2,4,6,8....
Hence, Insufficient
(2) k is prime
It can be any prime number.
Hence, Insufficient.
Combining (1) and (2), K is 2.
Ans: C
(1): k/2 is an integer
As per given statement "k" is an integer and k/2 is also an integer. Based on this k can only be multiple of 2 and it could be any value like 2,4,6,8....
Hence, Insufficient
(2) k is prime
It can be any prime number.
Hence, Insufficient.
Combining (1) and (2), K is 2.
Ans: C
value of k ?
statement 1 : k/2 is an integer means that k can take all values which are multiples of 2 i.e. 2,4,6,8,10.... and so on as all of them when divided by 2 would result in an integer value. hence insufficient
Statement 2 : k is prime, means that k can take values of 2,3,5,7,11.. and so on and hence is insufficient.
St 1 + St 2 = shows the value common to both sets and satifying both statements i.e. k=2 as 2 is the only even prime number and when divided by 2 would result in an integer.
hence answer is C as both statements together are sufficient.
statement 1 : k/2 is an integer means that k can take all values which are multiples of 2 i.e. 2,4,6,8,10.... and so on as all of them when divided by 2 would result in an integer value. hence insufficient
Statement 2 : k is prime, means that k can take values of 2,3,5,7,11.. and so on and hence is insufficient.
St 1 + St 2 = shows the value common to both sets and satifying both statements i.e. k=2 as 2 is the only even prime number and when divided by 2 would result in an integer.
hence answer is C as both statements together are sufficient.
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Bunuel
(1) k can take any even (+ve or -ve) integer..not sufficient
(2) k can take 2,3, 5, 7,......
on combining k can only take 2 (only even prime)
C
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