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:
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 3 of 4.
Haji said:
9 years ago
Its 9 + p + 2 = 12, not 9 + p + 1.
At the start, you will divide 4864 by any factor of 12 and 4 satisfies it.
At the start, you will divide 4864 by any factor of 12 and 4 satisfies it.
Prachi said:
10 years ago
I don't understand that how we get p=1. Because if we consider p=1 then it becomes 9+1+1=11 not 12. Then how can we take the value of p=1.
Amit said:
1 decade ago
Answer is p=1, 7.
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.
Then 9p2 is also divided by 4 and 3.
(Solution = 9+p+1=12 (where p =1)).
So answer is 1.
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).
Ram said:
1 decade ago
Why we do not divide 4864 by 3 and 9p2 by 4?
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.
Divya said:
1 decade ago
Why don't we consider 6, 2 as the factors for 12?
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.
Sony said:
1 decade ago
Please tell me why 9p2 is divisible by 3.
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