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 2 of 3.

Manish said:   1 decade ago
Another method is to just add 75 to 296 and then divide it by 37.

Ramya said:   1 decade ago
Let x = 296+75(dividend=(divisor*quotient)+remainder).
x = 371.

Priya said:   8 years ago
Here, quotient = 2.
The remainder left here is 1.
So 75/34=1.

Prachi said:   8 years ago
296 + 75 = 371.

371 divided by 37 = 1is reminder.

Diksha said:   1 decade ago
I don't understand. Please explain clearly.

Haseena Shaik said:   4 years ago
@Rohith Shetty.

Thank you very much.

BikashK007 said:   7 years ago
75/37 = 2+1.

So, the reminder is 1.

Abhikunduri said:   8 years ago
How 75/37 = 1? Explain in detail.

Sharmi said:   7 years ago
Well said, Thanks @Rohith Shetty.

Sunita said:   10 years ago
75/37 = 1 (remainder) i.e answer.


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