Aptitude Discussion

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 |

**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.**