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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    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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