What is the least number that must be subtracted from 1850, so that the remainder when divided by 7, 12, and 16 is 4?
Explanation:
When a number N is divided by 7, 12 and 16, the remainder is 4.
⇒ N = k × LCM (7, 12, 16) + 4, where k = 1, 2, 3… and so on.
⇒ N = 336k + 4
When k = 5, N = 1684.
So, the number to be subtracted from 1850 is = 1850 – 1684 = 166
Hence, option (d).
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