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Question : Which of the following numbers is divisible by 36?

Option 1: 47502

Option 2: 29412

Option 3: 54732

Option 4: 87064


Team Careers360 13th Jan, 2024
Answer (1)
Team Careers360 15th Jan, 2024

Correct Answer: 29412


Solution : We know that 36 = 4 × 9
If a number is divisible by 4 and 9, then it is divisible by 36.
Now, a number is divisible by 4 if the last two digits of the number are divisible by 4.
Also, a number is divisible by 9 if the sum of the digits of the number is divisible by 9.
⇒ For 47502, the last two digits 02 are not divisible by 4.
So, it is not divisible by 36.
⇒ For 29412, the last two digits 12 is divisible by 4 and the sum of digits 18 is divisible by 9.
So, it is divisible by 36.
⇒ For 54732, the sum of digits 21 is not divisible by 9.
So, it is not divisible by 36.
⇒ For 87064, the sum of digits 25 is not divisible by 9.
So, it is not divisible by 36.
Hence, the correct answer is 29412.

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