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## If N = 775 X 778 X 781, what is the remainder when N is. .

This topic has 1 expert reply and 0 member replies

### Top Member

Vincen Legendary Member
Joined
07 Sep 2017
Posted:
550 messages
6

#### If N = 775 X 778 X 781, what is the remainder when N is. .

Fri Sep 22, 2017 11:09 am
If N = 775 X 778 X 781, what is the remainder when N is divided by 14?

A) 6
B) 7
C) 8
D) 9
E) 10

The OA is A.

Is there any way to solve it without finding the expression for N?

### GMAT/MBA Expert

Jay@ManhattanReview GMAT Instructor
Joined
22 Aug 2016
Posted:
976 messages
Followed by:
20 members
470
Sun Sep 24, 2017 4:11 am
Vincen wrote:
If N = 775 X 778 X 781, what is the remainder when N is divided by 14?

A) 6
B) 7
C) 8
D) 9
E) 10

The OA is A.

Is there any way to solve it without finding the expression for N?
The remainder of 775 X 778 X 781, when divided by 14, would be equal to the remainder of the product of reminders that each number leaves when each is divided by 14.

Remainder when 775 divided by 14 = 5;
Remainder when 778 divided by 14 = 8;
Remainder when 781 divided by 14 = 11

Thus, the remainder of 5 X 8 X 11 when divided by 14 = the remainder of 440 when divided by 14 = 6.

The remainder of 775 X 778 X 781 when divided by 14 = 6

The correct answer: A

Hope this helps!

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-Jay
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