Number System
Aptitude

 Back to Questions
Q.

When a particular positive number is divided by 5, the remainder is 2. If the same number is divided by 6, the remainder is 1. If the difference between the quotients of division is 3, then find the number.

 A.

37

 B.

97

 C.

67

 D.

87

 Hide Ans

Solution:
Option(B) is correct

Let the quotients when this number is divided by 5 and 6 be $x$ and $y$ respectively.

(Note that $x$ will be greater than $y$ as 5 is smaller than 6).

Number $= 5x+2 = 6y+1$

Given that,$ x-y =3$

On solving both equation we get, $x= 19, y= 16$

Thus the number is $19×5 + 2 =$ 97.


(0) Comment(s)