Multiple choice

Find the greatest 4-digit number that is exactly divisible by 12, 27 and 9.

  1. 9828

  2. 9712

  3. 9946

  4. 9936

  5. 9966

Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

The greatest 4-digit number is 9999.

Now, LCM of 12, 27 and 9 = 108

So, on dividing 9999 by 108, 

Dividend = quotient x divisor + remainder

9999 = 92 x 108 + 63

Therefore, required number = 9999 - 63 = 9936