What is the least number that must be subtracted from 1995, so that the remainder when divided by 5, 7, and 11 is 3?
Explanation:
When a number N is divided by 5, 7 and 11, the remainder is 3.
N = k × LCM (5, 7, 11) + 3, where k = 1, 2, 3… and so on.
N = 385k + 3
When k = 5, N = 1928.
So, the number to be subtracted from 1995 is = 1995 – 1928 = 67.
Hence, option (c).
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