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 2 of 3.
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.
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.
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:
8 years ago
How 75/37 = 1? Explain in detail.
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.
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)
Prachi said:
8 years ago
296 + 75 = 371.
371 divided by 37 = 1is reminder.
371 divided by 37 = 1is reminder.
BikashK007 said:
7 years ago
75/37 = 2+1.
So, the reminder is 1.
So, the reminder is 1.
Sharmi said:
7 years ago
Well said, Thanks @Rohith Shetty.
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)
Haseena Shaik said:
4 years ago
@Rohith Shetty.
Thank you very much.
Thank you very much.
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