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Question

Which of the following number is divisible by both 3 and 9?



A
192
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B
720
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C
285
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D
2398
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Solution

The correct option is D 720

A number is divisible by 3 and 9 if the sum of the digits is divisible by 3 and 9 respectively.

192 
Sum of the digits = 1 + 9 + 2 = 12
12 is divisible by 3 but not by 9. Hence, 192 is divisible by 3 but not divisible by 9.

720
Sum of the digits = 7 + 2 + 0 = 9
9 is divisible by both 3 and 9. Hence, 720 is divisible by both 3 and 9. 

285
Sum of the digits = 2 + 8 + 5 = 15 
15 is divisible by 3 but not by 9. Hence, 285 is divisible by 3 but not divisible by 9.

2398
Sum of the digits = 2 + 3 + 9 + 8 = 22
22 is not divisible by both 3 and 9. Hence, 2398 is not divisible by both 3 and 9.


Mathematics

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