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 3 of 6.

Vinni said:   1 decade ago
Smaller = x.
Larger = 1365+x.

We have,

Dividend = 1365+x.
Divisor = x.
Quotient = 6.
Remainder = 15.

Dividend = (divisor*quotient)+remainder.

So,
1365+x = (x*6)+15.

Kumaran said:   6 months ago
225 is the correct answer.
1365 - 15 = 1350.
So, 225 * 6 is 1350, and the remainder is 15. So, kindly calculate the sum with the answer.
(2)

Shivam bajaj said:   1 decade ago
Why m i gettin 225 ??? 6*225=1350 and remainder is 15 and quotient is 6 ....in that case it matches up small number which is 225 ....

Jomon said:   1 decade ago
y-x=1365
y=1365+x
y/x-15=6
y-15=6x
y=6x+15

x + 1365 = 6x + 15

5x = 1350

x = 270

Smaller number = 270.

Srikanth said:   4 years ago
Let's assume;

x is the larger number.
y is smaller number.

x - y = 1365
x/y = 6
x = 6 * y + 15,
6 * y + 15 - y = 1365.
y = 270.
(42)

Sangeetha said:   1 decade ago
a-b = 1365.
a/b = Q => 6 and 15 as R.

(b*6)+15 = a.
(b*6)+15 = 1365+b.

(b*6) - b = 1350.
6b-b = 1350.

5b = 1350.
b = 270.

Tejas said:   8 years ago
Difference between two natural nos is 23. If we get quotient 2 on dividing the bigger no by the smaller no then find the nos.

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

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

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...

Abhi said:   1 decade ago
Here x+1365 = 6x+15.
1365-15 = 6x-1x.
1350 = 5x.
x = 1350/5.
x = 270.


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