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)
Haseena Shaik said:
4 years ago
@Rohith Shetty.
Thank you very much.
Thank you very much.
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)
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.
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)
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.
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.
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