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.
Aishwarya said:
6 years ago
@All.
Lets consider smaller number as X --->(i)
As per given difference of two numbers is 1365.
So consider larger number as X+1365 ---> (ii).
Dividend = quotient * divisor + remainder.
On dividing larger number by smaller number just put given values in above formula.
So we got equation as:
X+1365 = 6 * X + 15
5X = 1350.
X = 270 is smaller number.
Lets consider smaller number as X --->(i)
As per given difference of two numbers is 1365.
So consider larger number as X+1365 ---> (ii).
Dividend = quotient * divisor + remainder.
On dividing larger number by smaller number just put given values in above formula.
So we got equation as:
X+1365 = 6 * X + 15
5X = 1350.
X = 270 is smaller number.
(7)
Sania prathi said:
6 years ago
Nice explanation @Jomon.
Anudeep gajjala said:
6 years ago
Good explanation, Thanks @Jomon.
Pooja said:
8 years ago
Let the smaller number be= x.
Then the larger number be= x+1365.
We already have,
Quotient = 6,
Remainder= 15,
Divisor = x ( as in every division divisor is smaller than the dividend),
Dividend = x+1365.
As per formula,
Divisor = (dividend-remainder)/quotient.
=> x = (x+1365-15)/6,
=> x = (x+1350)/6,
=> 6x-x = 1350,
=> 5x = 1350,
=> x = 1350/5,
=> x = 270 (the smaller number) (answer).
Then the larger number be= x+1365.
We already have,
Quotient = 6,
Remainder= 15,
Divisor = x ( as in every division divisor is smaller than the dividend),
Dividend = x+1365.
As per formula,
Divisor = (dividend-remainder)/quotient.
=> x = (x+1365-15)/6,
=> x = (x+1350)/6,
=> 6x-x = 1350,
=> 5x = 1350,
=> x = 1350/5,
=> x = 270 (the smaller number) (answer).
(4)
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)
Bharath said:
8 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)
Vishan Dogra said:
8 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.
Abhishek Gupta said:
8 years ago
I can't understand this question, anyone can help me to solve this problem, please.
Udit said:
9 years ago
@Seema.
6 is quotient.
6 is quotient.
Raju reddy said:
9 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.
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