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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How many positive two-digit numbers yield...
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Brent@GMATPrepNow
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Your approach is perfect.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!
I can't think of a faster approach.
Cheers,
Brent
Brent Hanneson - Creator of GMATPrepNow.com
