number properties

[sud21]

If 56<x<66, where x is an integer. x=?
1). When x is divided by 2, the remainder is 1
2). x+1 is divisible by 3.


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[Brent@GMATPrepNow]

If 56<x<66, where x is an integer. x=?
1). When x is divided by 2, the remainder is 1
2). x+1 is divisible by 3.
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Statement 1:
This tells us that x is odd
So, x could equal 57, 59, 61, 63 or 65
INSUFFICIENT

Statement 2:
x could equal 59, 62 or 65
INSUFFICIENT

Statements 1 & 2:
When we combine both outcomes, we find that x could equal 59 or 65
INSUFFICIENT

So, the answer = E

Cheers,
Brent