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.

Naseema said:   9 years ago
Formula: dividend=(divisor*quotient)+remainder....assume dividend will be x. According to formula.
x =( 296*q) + 75.

The same number is divided by 37(296 and 75 ye number 37 so 37*8=296 and 37*2=74+1=75).
= (37 x 8q + 37 x 2) + 1.
Common term separated.
= 37 (8q + 2) + 1.

Parthiban said:   2 decades ago
i cant understand your explanation.. could you please explain in another way.....

Karim said:   9 years ago
(divisor * quotent) + remainder = dividend.

Why this formula can't be used?

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

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

Suhi said:   1 decade ago
If 296 is completely divisible by 37 then remainder will be 75%37 = 1.

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

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

Happy said:   1 decade ago
Narendra is right

Jeevan said:   1 decade ago
LET X=296q+75
=(37*8q+37*2)+1
=37(8q+2)+1...datz it
1 is the remainder


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