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Question

How many of the following numbers are divisible by 3 but not by 9 ?
2133, 2343, 3474, 4131, 5286, 5340, 6336, 7347, 8115, 9276

Options:
A .  5
B .  6
C .  7
D .  None of these
Answer: Option B

Marking (/) those which are are divisible by 3 by not by 9 and the others by (X), by taking the sum of digits, we get:s


2133 How Many Of The Following Numbers Are Divisible By 3 But Not... 9 (X)


2343 How Many Of The Following Numbers Are Divisible By 3 But Not... 12 (/)


3474 How Many Of The Following Numbers Are Divisible By 3 But Not... 18 (X)


4131 How Many Of The Following Numbers Are Divisible By 3 But Not... 9 (X)


5286 How Many Of The Following Numbers Are Divisible By 3 But Not... 21 (/)


5340 How Many Of The Following Numbers Are Divisible By 3 But Not... 12 (/)


6336 How Many Of The Following Numbers Are Divisible By 3 But Not... 18 (X)


7347 How Many Of The Following Numbers Are Divisible By 3 But Not... 21 (/)


8115 How Many Of The Following Numbers Are Divisible By 3 But Not... 15 (/)


9276 How Many Of The Following Numbers Are Divisible By 3 But Not... 24 (/)


Required number of numbers = 6.


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