Aptitude - Numbers - Discussion
Discussion Forum : Numbers - General Questions (Q.No. 58)
58.
On dividing 2272 as well as 875 by 3-digit number N, we get the same remainder. The sum of the digits of N is:
Answer: Option
Explanation:
Clearly, (2272 - 875) = 1397, is exactly divisible by N.
Now, 1397 = 11 x 127
The required 3-digit number is 127, the sum of whose digits is 10.
Discussion:
34 comments Page 3 of 4.
Ved said:
8 years ago
Once we get to 1397 & we know it is completely divided by N then we can use the options provided to find out the value of N.
Because 1397 must be completely divisible by one of them.
Because 1397 must be completely divisible by one of them.
Kuldeep Gupta said:
9 years ago
If a Two numbers are divisible by same number & gives the same remainder that means they belong to same table.
And their difference will also be divisible by same number.
e.g.
Let 4 & 10 be the numbers.
let N be 2.
So (10 - 4) = 6 is also divisible by N = 2.
And their difference will also be divisible by same number.
e.g.
Let 4 & 10 be the numbers.
let N be 2.
So (10 - 4) = 6 is also divisible by N = 2.
Kptel said:
9 years ago
Thanks @Sravan.
Jatin said:
10 years ago
Here is an shortcut:
= 2+2+7+2-8+7+5 = 7.
= 7+3 = 10.
= 2+2+7+2-8+7+5 = 7.
= 7+3 = 10.
Soumili said:
1 decade ago
I did not understand.
Sravan said:
1 decade ago
Consider that if two nos if divided by a same divisor gets same reminders. Then the difference between the nos will be exactly divisible by the divisor.
For example:
5/2 remainder is 1.
9/2 remainder is 1.
9-5 = 4, which is exactly divisible by 2.
For example:
5/2 remainder is 1.
9/2 remainder is 1.
9-5 = 4, which is exactly divisible by 2.
Janaki said:
1 decade ago
Why we are factorizing 1397?
Sneha said:
1 decade ago
As 2272 and 875 is divided by same number(x), obviously they are the factors of (x).
So when we subtract 2272-875 = 1397.
Now, this 1397 is also factor of (x).
Now just simply divide 1397 by options given in number.
i.e. (10, 11, 12, 13) then we find that 11 is the only number divisible by 1397.
Hence 1397/11 = 127 i.e. 11*127 = 1397.
1+2+7 = 10.
So when we subtract 2272-875 = 1397.
Now, this 1397 is also factor of (x).
Now just simply divide 1397 by options given in number.
i.e. (10, 11, 12, 13) then we find that 11 is the only number divisible by 1397.
Hence 1397/11 = 127 i.e. 11*127 = 1397.
1+2+7 = 10.
Himanshu said:
1 decade ago
@Shreyank by adding the digits of 127 (i e. , the 3-digit number).
Shreyank said:
1 decade ago
We can 11*127 so we can get 1397.
But how we get 10.
But how we get 10.
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