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 ?
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 5 of 6.
Vinni said:
1 decade ago
Dividend = Divisor*Quotient + Remainder.
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.
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.
Abhi said:
1 decade ago
Here x+1365 = 6x+15.
1365-15 = 6x-1x.
1350 = 5x.
x = 1350/5.
x = 270.
1365-15 = 6x-1x.
1350 = 5x.
x = 1350/5.
x = 270.
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
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
Rahaman said:
1 decade ago
(diff-rem)/qut-1=small num
so
(1365-15)/6-1=270
so
(1365-15)/6-1=270
(1)
Jhabar said:
1 decade ago
Thanks jomon, thanks sradha.
DEIVA said:
1 decade ago
I can't understand "5x=1350" this step,please explain
Meenu said:
1 decade ago
Good Explanation Jomon... Good Explanation Ashwini..;
Thanks:-)
Thanks:-)
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.
y=1365+x
y/x-15=6
y-15=6x
y=6x+15
x + 1365 = 6x + 15
5x = 1350
x = 270
Smaller number = 270.
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 ....
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