Aptitude Discussion

Q. |
The number 3072 is divisible by both 6 and 8. Which one of the following is the first integer larger than 3072 that is also divisible by both 6 and 8? |

✖ A. |
3084 |

✖ B. |
3086 |

✖ C. |
3090 |

✔ D. |
3096 |

**Solution:**

Option(**D**) is correct

Any number divisible by both 6 and 8 must be a multiple of the least common multiple of the two numbers, which is 24.

Hence, any such number can be represented as $24 n$ .

If 3072 is one such number and is represented as $24n$, then the next such number should be:

$24(n + 1) = 24n + 24 = 3072 + 24 =$ **3096.**

**Abhijeet**

*()
*

**Sarang Kulkarni**

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The next number divisible by 6 and 8 will current number + L.C.M of 6 and 8 i.e. 3072+24=2096

check the divisibility of 8 for each of the options.. only one satisfies(the correct answer)