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12 Dec 2016, 12:46
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B
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Difficulty:
5%
(low)
Question Stats:
91% (00:39) correct
9%
(00:46)
wrong
based on 210
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Is b an even integer?
(1) The product of b and integer c is even.
(2) b is divisible by 4.
(1) The product of b and integer c is even.
(2) b is divisible by 4.
stonecold
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Schools: Boston U '20 (M)
GRE 1: Q169 V154
12 Dec 2016, 12:53
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Here is my solution to this one->
Given info -->
Nothing is actually given.
We aren't even told if b is an integer or not.
We are asked if b is even or not.
Statement 1=>
b*c = even
Here b can be even or odd or a non integer.
E.q => 1/4 *8 is also even
Hence insufficient
Statement 2
b is divisible by 4
Hence b/4 must be an integer
b=4k
Hence b mist be even
Hence sufficient
Hence B
Given info -->
Nothing is actually given.
We aren't even told if b is an integer or not.
We are asked if b is even or not.
Statement 1=>
b*c = even
Here b can be even or odd or a non integer.
E.q => 1/4 *8 is also even
Hence insufficient
Statement 2
b is divisible by 4
Hence b/4 must be an integer
b=4k
Hence b mist be even
Hence sufficient
Hence B
06 Mar 2020, 07:25
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Bunuel
Target question: Is b an even integer?
Statement 1: The product of b and integer c is even.
Let's TEST some values.
There are several values of b and c that satisfy statement 1. Here are two:
Case a: b = 2 and c = 3. Here, the product bc = (2)(3) = 6, which is even. In this case, b = 2, so the answer to the target question is YES, b IS even
Case b: b = 3 and c = 2. Here, the product bc = (3)(2) = 6, which is even. In this case, b = 3, so the answer to the target question is NOT, b is NOT even
Since we cannot answer the target question with certainty, statement 1 is NOT SUFFICIENT
Statement 2: b is divisible by 4.
By definition, this means we can write: b = 4k for some integer k
We can rewrite this as: b = (2)(2)(k) for some integer k
This means b is a multiple of 2, which also tells us that b is EVEN
So the answer to the target question is YES, b IS even
Since we can answer the target question with certainty, statement 2 is SUFFICIENT
Answer: B
Cheers,
Brent
