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.
Gadha said:
1 decade ago
Difference of 2 number is 1365 and if add 1365 to that a number (x+1365) is equal to other number that is = (6x+15).
2. How can find it biggest or smaller so that you can figure it if you add something to smaller than it become equal to other number x+1365=6x+15.
2. How can find it biggest or smaller so that you can figure it if you add something to smaller than it become equal to other number x+1365=6x+15.
Pratyush Sharma said:
2 years ago
Let Y is the larger Number and X is the smaller Number.
The difference between X and Y is 1365.
Also, 6 times X is equal to Y - 15.
So, if we subtract 15 more from 1365 we get the difference of 6 times X and X as :
6X - X = 1365-15.
X = 270.
Y = 1635.
The difference between X and Y is 1365.
Also, 6 times X is equal to Y - 15.
So, if we subtract 15 more from 1365 we get the difference of 6 times X and X as :
6X - X = 1365-15.
X = 270.
Y = 1635.
(4)
Ashwini said:
1 decade ago
x is smaller no.
Seema i think you will get after this:
after multiply to 6(quotient) we get original no.
e.g 2)23(11
- 2
------
03
2
-------
1
so 2*11=22 & after adding reminder i.e 1 into 22 we get 23.
Seema i think you will get after this:
after multiply to 6(quotient) we get original no.
e.g 2)23(11
- 2
------
03
2
-------
1
so 2*11=22 & after adding reminder i.e 1 into 22 we get 23.
Bharath said:
7 years ago
Dividend = (divisor * quotient) + remainder.
Let the smaller number be x.
Then larger number = (x + 1365).
On dividing larger number by smaller number.
=> (x+1365)/x.
x + 1365 = 6x + 15,
5x = 1350,
x = 270.
Smaller number = 270.
Let the smaller number be x.
Then larger number = (x + 1365).
On dividing larger number by smaller number.
=> (x+1365)/x.
x + 1365 = 6x + 15,
5x = 1350,
x = 270.
Smaller number = 270.
(2)
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.
Vishan Dogra said:
7 years ago
Larger no is y.
y-x= 1365 ---> 1.
Divident =divisor * q+R.
y=x * 6 + 15,
Y=6x + 15 ---> 2
Substitute the value of eq 2 in 1.
6x + 15 - x = 1365,
5x + 15 = 1365,
5x = 1365-15,
x = 1350/5 = 270.
y-x= 1365 ---> 1.
Divident =divisor * q+R.
y=x * 6 + 15,
Y=6x + 15 ---> 2
Substitute the value of eq 2 in 1.
6x + 15 - x = 1365,
5x + 15 = 1365,
5x = 1365-15,
x = 1350/5 = 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
Bhushan J said:
5 years ago
Let smaller no x.
Larger no x + 1365.
Quotient = 6.
Remainder = 15
Divisor = x + 1365,.
Dividend = x,
Dividend = divisor * quotient + remainder.
x + 1365 = x * 6 + 15,
1350 = 5x,
x = 270.
Larger no x + 1365.
Quotient = 6.
Remainder = 15
Divisor = x + 1365,.
Dividend = x,
Dividend = divisor * quotient + remainder.
x + 1365 = x * 6 + 15,
1350 = 5x,
x = 270.
(16)
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)
Sandy said:
9 years ago
The solution is wrong it doesn't satisfy the condition.
As per solution smaller number is 270 so, when you divide larger number i.e. (1365 - 270 = 1095).
Then, 1095/270 is not equal to 6.
As per solution smaller number is 270 so, when you divide larger number i.e. (1365 - 270 = 1095).
Then, 1095/270 is not equal to 6.
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