Quantitative Aptitude Ques 2245

Question: The least number that must be subtracted from 1856 so, that the remainder when divided by 7, 12 and 16 leaves the same remainder 4 is

Options:

A) 137

B) 1361

C) 140

D) 172

Show Answer

Answer:

Correct Answer: D

Solution:

  • LCM of 7,12 and $ 16=336 $ Required number $ =1856 $ $ - $ some multiple of 336 which is less 1856 $ =1856-336\times 5=1856-1680=176 $ Now, $ 176-4=172 $