Aptitude - Numbers - Discussion

Discussion Forum : Numbers - General Questions (Q.No. 13)
13.
The difference of two numbers is 1365. On dividing the larger number by the smaller, we get 6 as quotient and the 15 as remainder. What is the smaller number ?
240
270
295
360
Answer: Option
Explanation:

Let the smaller number be x. Then larger number = (x + 1365).

x + 1365 = 6x + 15

5x = 1350

x = 270

Smaller number = 270.

Discussion:
57 comments Page 6 of 6.

Shraddha said:   1 decade ago
It is done through formula:- dividend=(divisor*quotient)+remainder

Here,divisor=X(smaller no.)
quotient=6
remainder=15

Rajesh said:   1 decade ago
I can't understand "6x+15" this step, why x is multiplied with 6? Can anybody help me?

Raj said:   1 decade ago
How you got 6X+15 ?

Ashwini said:   1 decade ago
x is smaller no.
Seema i think you will get after this:
after multiply to 6(quotient) we get original no.
e.g 2)23(11
- 2
------
03
2
-------
1
so 2*11=22 & after adding reminder i.e 1 into 22 we get 23.

Seema said:   1 decade ago
why x is multiplied to 6?

Janu said:   1 decade ago
@shoeb

if x-y=1365
then y=x+1365
here in this problem they assumed x is d smaller and y is d larger one..

got it...

Shoeb said:   1 decade ago
Why the larger no is added. since there is a difference of two numbers in question.


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