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:
58 comments Page 2 of 6.
Pratyush Sharma said:
1 year ago
Difference of two numbers:
a- b = 1365.
a/b = 6 15/b.
a - b means 1 times of a is reduced from b and 15 extra part is remaining.
Also it is given that 6 times of b is leaving 15 as remainder;
So in a - b we only have 5 times b + 15.
Thus 1365-15/5 is the smallest number.
1365-15/5= 270.
For example
If a = 117 b = 17,
a-b = 100,
6b = 102,
5b = 85,
a/b leaves remainder 15.
So, a-b-15=85 which is equal to 5b.
a- b = 1365.
a/b = 6 15/b.
a - b means 1 times of a is reduced from b and 15 extra part is remaining.
Also it is given that 6 times of b is leaving 15 as remainder;
So in a - b we only have 5 times b + 15.
Thus 1365-15/5 is the smallest number.
1365-15/5= 270.
For example
If a = 117 b = 17,
a-b = 100,
6b = 102,
5b = 85,
a/b leaves remainder 15.
So, a-b-15=85 which is equal to 5b.
(2)
Sundar said:
2 years ago
Thanks for explaining the answer @Pooja.
(1)
Rahaman said:
1 decade ago
(diff-rem)/qut-1=small num
so
(1365-15)/6-1=270
so
(1365-15)/6-1=270
(1)
Paimon Dkhar said:
8 years ago
X is the smaller and y is the larger.
Y=x+1365,
Y=270+1365,
Y=1635.
Larger divided by a smaller number.
=1635/270.
Here I got 6 quotient & 15 Remainder.
Yes, 270 is the smaller number.
Y=x+1365,
Y=270+1365,
Y=1635.
Larger divided by a smaller number.
=1635/270.
Here I got 6 quotient & 15 Remainder.
Yes, 270 is the smaller number.
(1)
Pradeep chauhan said:
9 years ago
How you get x/y-15=6?
Krish said:
9 years ago
Can we simply apply this,
x-y = 1365.
x\y = 6 (is it necessary to add remainder with it).
x-y = 1365.
x\y = 6 (is it necessary to add remainder with it).
Keerthy said:
1 decade ago
Thanks @Vinni.
Tejas said:
9 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.
Venkat.k said:
10 years ago
Good explanation @Jomon.
Sooraj Abi said:
10 years ago
Thanks for the explanation @Rahaman.
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