Aptitude - Numbers - Discussion

Discussion Forum : Numbers - General Questions (Q.No. 42)
42.
If the product 4864 x 9 P 2 is divisible by 12, then the value of P is:
2
5
6
8
None of these
Answer: Option
Explanation:

Clearly, 4864 is divisible by 4.

So, 9P2 must be divisible by 3. So, (9 + P + 2) must be divisible by 3.

P = 1.

Discussion:
31 comments Page 1 of 4.

Jignesh said:   1 decade ago
9P2 is also divisable by 2 then?

Khushi said:   1 decade ago
since 12=4*3
so the whole no must be divisible by both 4 and 3.

Sony said:   1 decade ago
Please tell me why 9p2 is divisible by 3.

Aman said:   1 decade ago
Because 3 and 4 is the factors of 12 and if the number is divisible by 4 then it should be divisible by 3 as well to get divisible by 12 completely.

Divya said:   1 decade ago
Why don't we consider 6, 2 as the factors for 12?

Uttam G said:   1 decade ago
Co prime numbers of 12 are 4 and 3. So we need to divide the numbers by 4 and 3.

Ram said:   1 decade ago
Why we do not divide 4864 by 3 and 9p2 by 4?

Jag said:   1 decade ago
Even p=4 is satisfying the condition. Because 9+4+2 is a multiple of 3. So if the option 1 is not given but 4 is in the option we should be selecting it. Not only 4, other numbers which satisfy the condition (sum of digits a multiple of 3).

Jagdish said:   1 decade ago
Clearly 4864 is divided by 4.

Then 9p2 is also divided by 4 and 3.

(Solution = 9+p+1=12 (where p =1)).

So answer is 1.

Amit said:   1 decade ago
Answer is p=1, 7.


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