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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(`sqrt`)those which are divisible by 3 but not by 9 and the others by (`x`), by taking he sum of digits , we get:

2133 `rarr` 9 (`xx`).      2343 `rarr`12 (`sqrt`),  3474 `rarr`18 (`xx`), 4131 `rarr` 9 (`xx`),  5286 `rarr` 21(`sqrt`),

5340 `rarr` 12 (`sqrt`), 6336 `rarr`18 (`xx`),  7347 `rarr` 21 (`sqrt`),  8115 `rarr`15 (`sqrt`), 9276 `rarr` 24 (`sqrt`)

Required number pf numbers = 6




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