Question
Download Solution PDFWhich of the following numbers is divisible by 36?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept used:
Divisibility Rule of 9:
if the sum of digits of the number is divisible by 9, then the number is divisible by 9.
Divisibility Rule of 4:
If the last two digits of a number are divisible by 4, the number is divisible by 4.
Calculation:
36 = 9 × 4
If any number is divisible by 9 and 4, then the number itself is divisible by 36 also.
We need to check it by option.
Option 1:
Number = 47502
To check the divisibility with 9.
The sum of digits = 4 + 7 + 5 + 0 + 2 = 18
18 is divisible by 9. So the number is also divisible by 9.
To check the divisibility with 4.
The last two digits = 02
02 is not divisible by 4. So the number is not divisible by 4.
47502 is not divisible by 36.
Option 2:
Number = 29412
To check the divisibility with 9.
The sum of digits = 2 + 9 + 4 + 1 + 2 = 18
18 is divisible by 9. So the number is also divisible by 9.
To check the divisibility with 4.
The last two digits = 12
12 is divisible by 4. So the number is divisible by 4.
29412 is divisible by 36.
∴ The correct option is 2.
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