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 2 of 6.
Pratyush Sharma said:
5 months 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.
(1)
Paimon Dkhar said:
7 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)
Rahaman said:
1 decade ago
(diff-rem)/qut-1=small num
so
(1365-15)/6-1=270
so
(1365-15)/6-1=270
(1)
Raju reddy said:
8 years ago
Two numbers Difference is given I. e. 1365 one number =X(large) and another number(small)=Y.
X-Y=1365.
Large number divided by small number i.e
X/Y.....Y)X(6
/15
X=6Y+15 (above eqn. X-Y=1365then X=1365+Y).
1365+Y=6Y+15.
1365-15=6Y-Y i.e 1350=5Y.
Y=1350/5 i.e 270.
In problem asked smaller number that's why the ans is 270.
X-Y=1365.
Large number divided by small number i.e
X/Y.....Y)X(6
/15
X=6Y+15 (above eqn. X-Y=1365then X=1365+Y).
1365+Y=6Y+15.
1365-15=6Y-Y i.e 1350=5Y.
Y=1350/5 i.e 270.
In problem asked smaller number that's why the ans is 270.
Keerthy said:
9 years ago
Thanks @Vinni.
Ashok pathi said:
9 years ago
Thanks @Rahaman.
Sooraj Abi said:
9 years ago
Thanks for the explanation @Rahaman.
Venkat.k said:
9 years ago
Good explanation @Jomon.
Krish said:
8 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).
Pradeep chauhan said:
8 years ago
How you get x/y-15=6?
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