Question
Download Solution PDFWhich of the following numbers is divisible by both 4 and 9?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFFormula Used:
A number is divisible by 4 if the last two digits form a number divisible by 4.
A number is divisible by 9 if the sum of its digits is divisible by 9.
Calculation:
Option 1: 4512
Last two digits: 12
12 ÷ 4 = 3 (divisible by 4)
Sum of digits: 4 + 5 + 1 + 2 = 12
12 ÷ 9 = 1.33 (not divisible by 9)
Option 2: 3241
Last two digits: 41
41 ÷ 4 = 10.25 (not divisible by 4)
Option 3: 2345
Last two digits: 45
45 ÷ 4 = 11.25 (not divisible by 4)
Option 4: 1728
Last two digits: 28
28 ÷ 4 = 7 (divisible by 4)
Sum of digits: 1 + 7 + 2 + 8 = 18
18 ÷ 9 = 2 (divisible by 9)
Therefore, the correct option is Option 4: 1728.
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