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Which is the largest 4-digit number which, when decreased by 11, is exactly divisible by 16, 24 and 40?

Competition practiceNumber System, HCF & LCM

A9840
B9851
C9829
D9611

Step-by-Step Solution

LCM = 240

. Need

N - 11 \leq 9988

: largest multiple is

41 \times 240 = 9840

, so

N = 9851

.

Answer: B) 9851

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