BTGmoderatorDC wrote: ↑Mon Jan 27, 2020 5:30 pm
If x is an integer such that 79 < x < 86, what is the value of x?
I. If x were divided by 4, the remainder would be 1
II. If x - 1 were divided by 3, the remainder would be 2
OA
C
Source: e-GMAT
Given that 79 < x < 86, x is one among 80, 81, 82, 83, 84 and 85.
Let's take each statement one by one.
I. If x were divided by 4, the remainder would be 1.
x can be 81 or 85. No unique value of x. Insufficient.
II. If x – 1 were divided by 3, the remainder would be 2.
Given that x is one among 80, 81, 82, 83, 84 and 85, (x – 1) would be one among 79, 80, 81, 82, 83, and 84. Since (x – 1) when divided by 3 leaves the remainder 2, (x – 1) can be either 80 or 83. Thus, x can be 81 or 84. No unique value of x. Insufficient.
(1) and (2) together
Only one value of x is common in both statements, and i.e. x = 81. Sufficient.
The correct answer:
C
Hope this helps!
-Jay
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