Question
Download Solution PDFWhich number among 38211, 38121, 32118, and 31128 is divisible by 24?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFFormula used:
A number is divisible by 24 if it is divisible by both 3 and 8.
Divisibility by 3: A number is divisible by 3 if the sum of its digits is divisible by 3.
Divisibility by 8: A number is divisible by 8 if the last three digits of the number are divisible by 8.
Calculation:
Checking 38211:
Sum of digits = 3 + 8 + 2 + 1 + 1 = 15 (Divisible by 3)
Last three digits = 211 (Not divisible by 8)
⇒ 38211 is not divisible by 24
Checking 38121:
Sum of digits = 3 + 8 + 1 + 2 + 1 = 15 (Divisible by 3)
Last three digits = 121 (Not divisible by 8)
⇒ 38121 is not divisible by 24
Checking 32118:
Sum of digits = 3 + 2 + 1 + 1 + 8 = 15 (Divisible by 3)
Last three digits = 118 (Not divisible by 8)
⇒ 32118 is not divisible by 24
Checking 31128:
Sum of digits = 3 + 1 + 1 + 2 + 8 = 15 (Divisible by 3)
Last three digits = 128 (Divisible by 8)
⇒ 31128 is divisible by 24
∴ The correct answer is option (4).
Last updated on Jul 21, 2025
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