The Least Number Which When Divided by 6, 9, 12, 15, 18 Leaves the Same Remainder 2 in Each Case is:

  1. 176
  2. 178
  3. 180
  4. 182
Monis Rasool Professor Asked on 29th August 2015 in Maths.
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1 Answer(s)

Answer: (4) 182

Explanation:-
Factors of 6 = 2 x 3
Factors of 9 = 3 x 3
Factors of 12 = 2 x 2 x 3
Factors of 15 = 3 x 5
Factors of 18 = 2 x 3 x 3
Then, the LCM of 6, 9, 12, 15, 18 = 2 x 2 x 3 x 3 x 5
= 180
Leaves the same remainder 2 in each case ,
Then, the least number = 180 + 2
= 182
Then, the least number which when decided by 6, 9, 12, 15, 18 leaves the a same remainder 2 in each case is 182.

Hence, the answer is (4) 182.

Anurag Mishra Professor Answered on 31st August 2015.
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