Question
Download Solution PDFWhich of the following numbers Is divisible by 24?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept used:
Divisibility rule of 8:
If the last three digits of a number are divisible by 8, the number is divisible by 8.
Divisibility rule of 3:
a number is completely divisible by 3 if the sum of its digits is divisible by 3.
24 = 3 × 8
If a number is divisible by 3 and 8 then it is also divisible by 24.
Calculation:
We need to check it by option:
Option 1:
Number = 52688
Sum of digits = 5 + 2 + 6 + 8 + 8 = 29
29 is not divisible by 3. so the number is not divisible by 3.
So the number is also not divisible by 24.
Option 2:
Number = 49512
Sum of digits = 4 + 9 + 5 + 1 + 2 = 21
21 is divisible by 3. so the number is divisible by 3.
The last three digits of the number = 512
512 is divisible by 8, so the number is also divisible by 8.
So the number is divisible by 24.
∴ The correct option is 2.
Last updated on Jul 10, 2025
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