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:
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 1 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).
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)
Rohith shetty said:
8 years ago
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.
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.
(3)
Divya said:
6 years ago
Dividend = Divisor * quotient + Remainder.
: D = 296*Q + 75.
: R = D%37.
R = ((296Q+75)%37).
: D = 296*Q + 75.
: R = D%37.
R = ((296Q+75)%37).
(2)
Kiran said:
9 years ago
296 is exactly divisible with 37.
So just divide the remainder with 37 then we will get required remainder.
So just divide the remainder with 37 then we will get required remainder.
Haseena Shaik said:
4 years ago
@Rohith Shetty.
Thank you very much.
Thank you very much.
Sharmi said:
7 years ago
Well said, Thanks @Rohith Shetty.
BikashK007 said:
7 years ago
75/37 = 2+1.
So, the reminder is 1.
So, the reminder is 1.
Prachi said:
8 years ago
296 + 75 = 371.
371 divided by 37 = 1is reminder.
371 divided by 37 = 1is reminder.
Priya said:
8 years ago
Here, quotient = 2.
The remainder left here is 1.
So 75/34=1.
The remainder left here is 1.
So 75/34=1.
Abhikunduri said:
8 years ago
How 75/37 = 1? Explain in detail.
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