Sir can you tell me the answer of the question?
what is the least numberthat must be added to 2000 so that the sum is exactly divisible by 10,12,16and18
please explain the method.

Asked by Madhuri | 19th Jul, 2014, 09:48: PM

Expert Answer:

Let n be the number:
n + 2000 = m
the factor of 10 are 5 x 2, so m must have these numbers as factors
the factor of 12 are 3 x 2 x 2 so m must have these numbers as factors
the factor of 16 are 2 x 2 x 2 x 2 so m must have these numbers as factors
the factor of 18 are 3 x 3 x 2 so m must have these numbers as factors

m must have as factors at least:
16 x 3 x 3 x 5 = 720

2 x 720 is less than 2000
3 x 720 = 2160

2160-2000=160

n = 160

Answered by Dharma Teja | 21st Jul, 2014, 09:38: AM