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Q.

Separate the following numbers which are divisible by 3 but not 9:

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a

648

b

873

c

279

d

174

answer is D.

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Detailed Solution

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First we find the sum of digits of given numbers

Sum of digits of 648 = 6 + 4 + 8 = 18

Here, 18 is divisible by both 3 and 9.

Thus, 648 is divisible by both 3 and 9.

Sum of digits of 873 = 8 + 7 + 3 = 18

Here, 18 is divisible by 3 and 9.

Thus, 873 is divisible by 3 and 9.

Sum of digits of 279= 2 + 7 + 9 = 18 

Here,18 is divisible by 3 and 9.

Sum of digits of 174 = 1 + 7 + 4 = 12

Here, 12  is divisible by 3 but not 9.         

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