What will be the Number? If

The least number which when divided by 35, 45, 55 leaves the remainder 18, 28, 38 respectively is

  1. 3448
  2. 3482
  3. 2468
  4. 3265
Monis Rasool Professor Asked on 10th June 2015 in Maths.
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  • 1 Answer(s)

    Answer: (2) 3482.
    Explanation:-

    The LCM of 35, 45, 55
    35 = 5 x 7
    45 = 3 x 3 x 5
    55 = 5 x 11

    The LCM = 3 x 3 x 5 x 7 x 11 = 3465
    Remainders = 18, 28, 38
    difference = 35 – 18 = 17,             45 – 28 = 17,       55 – 38 = 17

    So, the number is 3465 + 17 = 3482.

    Hence, the answer is (2) 3482.

    Anurag Mishra Professor Answered on 10th June 2015.
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