Question : Which of the following numbers is divisible by 24?
Option 1: 52668
Option 2: 49512
Option 3: 64760
Option 4: 26968
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Correct Answer: 49512
Solution :
To find: The number which is divisible by 24.
We know,
If a number is divisible by both 3 and 8 then it will be divisible by 24.
If the sum of digits of a number is divisible by 3 then the number is divisible by 3.
If the last 3 digits of a number are divisible by 8 then the number is divisible by 8.
Using these concepts we get,
49512 is divisible by 3 as (4 + 9 + 5 + 1 + 2) = 21 is divisible by 3.
49512 is divisible by 8 as 512 is divisible by 8.
$\therefore$ 49512 is divisible by 24.
Hence, the correct answer is 49512.
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