Aptitude Discussion

Q. |
What is the value of $M$ and $N$ respectively if $M39048458N$ is divisible by 8 and 11, where $M$ and $N$ are single digit integers? |

✖ A. |
7, 8 |

✖ B. |
8, 6 |

✔ C. |
6, 4 |

✖ D. |
5, 4 |

**Solution:**

Option(**C**) is correct

A number is divisible by 8 , if the number formed by the last three digits is divisible by 8.

i.e 58N is divisible by 8 ⇒ **N=4**

Again a number is divisible by 11, if the difference between the sum of digits at even places and sum of digits at the odd places is either 0 or divisible by 11.

i.e, $(M+9+4+4+8) - (3+0+8+5+N) = M-N+9 = M+5$

It cannot be zero hence, $M+5 =11$ ⇒ **M=6**.