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.
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)
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.
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)
Narendra said:
1 decade ago
From the problem, already we have remainder 75 so if we divide this no. with 37 we will get reminder 1
37)75(2this method is simple and easy go ahead,if it's wrong suggest me clearly
74
--------
1
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.
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)
Parthiban said:
2 decades ago
i cant understand your explanation.. could you please explain in another way.....
Jeevan said:
1 decade ago
LET X=296q+75
=(37*8q+37*2)+1
=37(8q+2)+1...datz it
1 is the remainder
=(37*8q+37*2)+1
=37(8q+2)+1...datz it
1 is the remainder
Karim said:
9 years ago
(divisor * quotent) + remainder = dividend.
Why this formula can't be used?
Why this formula can't be used?
Suhi said:
1 decade ago
If 296 is completely divisible by 37 then remainder will be 75%37 = 1.
Post your comments here:
Quick links
Quantitative Aptitude
Verbal (English)
Reasoning
Programming
Interview
Placement Papers