Find out The Smallest Three-digit Number ?

Find out the smallest three-digit number which when divided by 4,5 and 6 leaves 1 as remainder in all cases.

  1. 241
  2. 101
  3. 121
  4. 361
Monis Rasool Professor Asked on 6th September 2015 in Maths.
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1 Answer(s)

Answer: (3) 121

Explanation:-
The L C M of 4, 5 and 6
Then, the factors of 4 = 2 x 2
The factors of 5 = 1 x 5
The factors of 6 = 2 x 3

Then, the L C M of 4,5 and 6= 2 x 2 x 3 x 5 = 60
The smallest number of three digits which is divisible by 4, 5 and 6 = 60 x 2
= 120

The leaving remainder is 1.
Then, the number is 120 + 1 = 121

Hence, the answer is (3) 121.

Anurag Mishra Professor Answered on 8th September 2015.
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