Question : Which of the following numbers is divisible by 36?
Option 1: 47502
Option 2: 29412
Option 3: 54732
Option 4: 87064
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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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