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Is P divisible by 6 ? I P is divisible...

Is P divisible by 6 ?
I P is divisible by 5.
II. The sum of the digits of P excludind its units digit is 14

A

If the question can be answered using one of the statements alone, but cannot be answered using the other statement alone.

B

If the question can be answered using either statement alone.

C

If the questions can be answered using I and II together but not using I or II alone

D

If the question cannot be answered even using I and II together.

Text Solution

Verified by Experts

The correct Answer is:
C
From statement, I, If P=30 it is divisibel by 6
If p=35, it is not divisible by 6
So statement I alone is not sufficient.
From statement II,
If P= 12550, it is not divisibles by 6.
If P= 12564, it is divisble by 6
So statement if alone is also not sufficient.
Using both the statements, as P is divisible by 5, the units digits of P is either 5or 0. But if units digits of P is 5 it is not divisble by 2. Hence P is not divisble by 6 also.
If is units digits is 0, the sum of the digits of P is 14. in that case P is not divisble by 3.
Hence P is not divisbles by 6 also.
Using both the statements we can say that P is not divisble by 6.
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