Question
Which number from the following is divisible by 24?
/> A) 825196 B) 674328 C) 592416 D) 431232Solution
ATQ,
A number divisible by 24 must be divisible by both 3 and 8.
Divisible by 3 β Sum of digits is divisible by 3
Divisible by 8 β Last three digits form a number divisible by 8
Option A: 8 + 2 + 5 + 1 + 9 + 6 = 31 β Not divisible by 3
Option B: 6 + 7 + 4 + 3 + 2 + 8 = 30 β Divisible by 3
Last 3 digits: 328 β 328 Γ· 8 = 41 β Divisible by 8 β
Option C: 5 + 9 + 2 + 4 + 1 + 6 = 27 β Divisible by 3
Last 3 digits: 416 β 416 Γ· 8 = 52 β Divisible by 8 β
Option D: 4 + 3 + 1 + 2 + 3 + 2 = 15 β Not divisible by 3
Hence, Both Option B and C are divisible by 3 and 8
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