Find the Least Number

Find the least number which when divided by 12,18,36, and 45 leaves the remainder 8,14,32, and 41 respectively

  1. 178
  2. 186
  3. 176
  4. 180
Manish Listener Asked on 15th June 2015 in Maths.
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1 Answer(s)

Answer: (3) 176
Explanation:-
The LCM of 12, 18, 36 and 45
Factors of 12 = 2 x 2 x 3
Factors of 18 = 2 x 3 x 3
Factors of 36 = 2 x 2 x 3 x 3
Factors of 45 = 3 x 3 x 5
The LCM  = 2 x 2 x 3 x 3 x 5 = 180
Remainder = 12 – 8 = 4, 18 – 14 = 4, 36 – 32 = 4 and 45 – 41 = 4
The number is 180 – 4 = 176
Hence, the answer is (3) 176

Anurag Mishra Professor Answered on 15th June 2015.
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