When a number is divided by 296 the remainder is 75 when the same number is divided by 37 the remainder will be?

Correct Answer:

Description for Correct answer:

\( \Large \frac{remainder\ of\ no.}{37}=\frac{75}{37} \)

remainder = 1.

Part of solved Number series questions and answers : >> Aptitude >> Number series

Comments

45.

A number when divided by 296 leaves 75 as remainder. When the same number is divided by 37, the remainder will be:

Answer: Option A

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.

Parthiban said: (Jul 21, 2010)
i cant understand your explanation.. could you please explain in another way.....

Narendra said: (Dec 14, 2010)
From the problem, already we have remainder 75 so if we divide this no. with 37 we will get reminder 1 37)75(2 74 -------- 1 this method is simple and easy go ahead,if it's wrong suggest me clearly

Jeevan said: (Jan 3, 2011)
LET X=296q+75 =(378q+372)+1 =37(8q+2)+1...datz it 1 is the remainder

Happy said: (Aug 22, 2012)
Narendra is right

Manish said: (Mar 28, 2014)
Another method is to just add 75 to 296 and then divide it by 37.

Ramya said: (Aug 13, 2014)
Let x = 296+75(dividend=(divisor*quotient)+remainder). x = 371.

Suhi said: (Mar 9, 2015)
If 296 is completely divisible by 37 then remainder will be 75%37 = 1.

Diksha said: (May 14, 2015)
I don't understand. Please explain clearly.

Sunita said: (Sep 11, 2015)
75/37 = 1 (remainder) i.e answer.

Karim said: (Oct 18, 2016)
(divisor * quotent) + remainder = dividend. Why this formula can't be used?

Kiran said: (Dec 11, 2016)
296 is exactly divisible with 37. So just divide the remainder with 37 then we will get required remainder.

Naseema said: (Feb 10, 2017)
Formula: dividend=(divisorquotient)+remainder....assume dividend will be x. According to formula. x =( 296q) + 75. The same number is divided by 37(296 and 75 ye number 37 so 378=296 and 372=74+1=75). = (37 x 8q + 37 x 2) + 1. Common term separated. = 37 (8q + 2) + 1.

Abhikunduri said: (May 23, 2017)
How 75/37 = 1? Explain in detail.

Priya said: (Jul 14, 2017)
Here, quotient = 2. The remainder left here is 1. So 75/34=1.

Rohith Shetty said: (Oct 13, 2017)
You can solve it in very simple steps. Let the number be x. Therefore x = 296q+75 (q=quotient) Now when you divide the same number by 37 it can be written as x/37 = 296q/37 + 75/37 Here 296 is completely divisible by 37 by 8 times so whatever comes out the remainder on dividing 75 by 37 will be a final remainder. 75÷37 gives 1 as remainder.

Prachi said: (Nov 19, 2017)
296 + 75 = 371. 371 divided by 37 = 1is reminder.

Bikashk007 said: (Aug 24, 2018)
75/37 = 2+1. So, the reminder is 1.

Sharmi said: (Feb 25, 2019)
Well said, Thanks @Rohith Shetty.

Divya said: (Dec 29, 2019)
Dividend = Divisor * quotient + Remainder. : D = 296*Q + 75. : R = D%37. R = ((296Q+75)%37).

Haseena Shaik said: (Apr 13, 2021)
@Rohith Shetty. Thank you very much.

Varad said: (Feb 12, 2022)
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).