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16 Mar 2022, 01:30
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C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
25%
(medium)
Question Stats:
72% (01:26) correct
28%
(01:34)
wrong
based on 141
sessions
History
Date
Time
Result
Not Attempted Yet
If w, x, y and z are integers and w + x = y, is y divisible by z?
(1) w and x each have a remainder of 1 when divided by z
(2) z = 2
(1) w and x each have a remainder of 1 when divided by z
(2) z = 2
17 Mar 2022, 18:09
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w + x = y, is y divisible by z?
The question asks us does y/z give us a remainder 0. Or in other words is the remainder of w/z + remainder x/z divisible by z?
(1) w and x each have a remainder of 1 when divided by z
(2) z = 2
Each statement alone is clearly insufficient. However combined we get:
remainder of w/z = 1
remainder of x/z = 1
1+1/2 = 0
==> C
The question asks us does y/z give us a remainder 0. Or in other words is the remainder of w/z + remainder x/z divisible by z?
(1) w and x each have a remainder of 1 when divided by z
(2) z = 2
Each statement alone is clearly insufficient. However combined we get:
remainder of w/z = 1
remainder of x/z = 1
1+1/2 = 0
==> C
17 Mar 2022, 19:42
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Bunuel
Evaluting statement 1:
Case 1: Let's take z=3, w=4, x=7 . These 3 numbers satisfy statement 1 .
After plugging in the values we get y=11, which is not divisible by 3.
Case 2: Let's take z=2, w=3, x=5. These 3 numbers satisfy statement 1.
After plugging in the values we get y=8, which is divisible by 2.
Statement 1 is not suffiecient.
Evaluting statement 2:
Statement 2 provides us only with the values of z .
Statement 2 is clearly insufficient.
Evaluting both statements together :
The numbers(x,w) that satisfy both statements can be (3,5) , (11,19) , (-9,-21) ....
All of these pair sum up to an even number, which is always divisible by 2.
Therefore, C is sufficient.
Methinks its C
Do correct me if i am wrong.
