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
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Similar Questions
37.
Insert the missing number
3, 18, 12, 72, 66, 396 ?
D.
350
3 x 6 = 1818 - 6 = 1212 x 6 = 7272 - 6 = 6666 x 6 = 396
396 - 6 = 390
Discussion :: Numbers - General Questions (Q.No.45)
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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 =(37*8q+37*2)+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=(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. |
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). |