CAT Quantitative Ability Questions | CAT Number System questions
CAT
CAT/1994
Question . 167
Which is the least number that must be subtracted from 1856, so that the remainder when divided by 7, 12 and 16 will leave the same remainder 4
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Explanatory Answer
Method of solving this CAT Quantitative Ability Question from Number System question
(d) Suppose least no. be x
1856 = LCM(nx 16,12,7of + 4)
or 1856 – x = n (336)+ 4
we should take n = 5
so that n(336) is nearest to 1856
and n (336)< 1856
1856 – x = 1680 + 4 = 1684
x = 1856 – 1684 = 172
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