Aptitude - Numbers - Discussion

Discussion Forum : Numbers - General Questions (Q.No. 45)
45.
A number when divided by 296 leaves 75 as remainder. When the same number is divided by 37, the remainder will be:
1
2
8
11
Answer: Option
Explanation:

Let x = 296q + 75

   = (37 x 8q + 37 x 2) + 1

   = 37 (8q + 2) + 1

Thus, when the number is divided by 37, the remainder is 1.

Discussion:
21 comments Page 3 of 3.

Varad said:   4 years ago
Just divide 75 with 37 you will get 1 as the remainder (that's the answer).

Eg ) On dividing a number by 357, we get 39 as remainder. On dividing the same number 17, what will be the remainder?

In this case, divide 39 with 17 and find remainder = 5 (that's the answer).
(6)


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