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How many positive two-digit numbers yield...

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by AAPL » Sat Mar 31, 2018 5:25 am
How many positive two-digit numbers yield a remainder of 1 when divided by 4 and also yield a remainder of 1 when divided by 14?

A. 3
B. 4
C. 5
D. 6
E. 7

The OA is A.

First, we need to find the numbers which are divisible by 4 and 14. The number is going to be LCM of the 4 and 14 which will be 28, 56, 84.

Hence, the number leaving 1 as remainder will be, 28 + 1, 56 + 1 and 84 + 1. Option A.

Has anyone another strategic approach to solve this PS question? Regards!
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by Brent@GMATPrepNow » Sat Mar 31, 2018 5:37 am
AAPL wrote:How many positive two-digit numbers yield a remainder of 1 when divided by 4 and also yield a remainder of 1 when divided by 14?

A. 3
B. 4
C. 5
D. 6
E. 7

The OA is A.

First, we need to find the numbers which are divisible by 4 and 14. The number is going to be LCM of the 4 and 14 which will be 28, 56, 84.

Hence, the number leaving 1 as remainder will be, 28 + 1, 56 + 1 and 84 + 1. Option A.

Has anyone another strategic approach to solve this PS question? Regards!
Your approach is perfect.
I can't think of a faster approach.

Cheers,
Brent
Brent Hanneson - Creator of GMATPrepNow.com
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