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 2 of 6.

DEIVA said:   1 decade ago
I can't understand "5x=1350" this step,please explain

Jhabar said:   1 decade ago
Thanks jomon, thanks sradha.

Rahaman said:   1 decade ago
(diff-rem)/qut-1=small num

so
(1365-15)/6-1=270
(1)

Raj said:   1 decade ago
Let the larger number is x and smaller is y.
Now x-y=1365....(1)
Again dividend=divisor*quotient+remainder
Therefore x=6y+15 put in ..(1)
6y+15-y=1365
or 5y=1350
or y=270
Hence answer is (b)270

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

Abhijeet Patil said:   1 decade ago
x = larger number.
y = smaller number.

Given that,
x-y = 1365...... (1).

x/y = 6.
x = 6y+15.
x-6y = 15....... (2).

Solving eq 1 and 2.
x-6y = 15
-x+y = -1365
_____________
-5y= -1365

y = 270.

Vinni said:   1 decade ago
Dividend = Divisor*Quotient + Remainder.

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.

Sudarshan said:   1 decade ago
Lets say x is greater number and y is smallest number.
So first condition is x-y = 1365.

So second condition is y/x gives 6 as a quotient and 15 as a remainder.

According to formula (dividend)=(divisor*quotient)+remainder.
So x = 6y+15.

Putting x = 1365+y from first condition
y = 270.

Which is smaller number.

P.janaki said:   1 decade ago
The difference of two numbers is 1365.


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