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:
32 comments Page 1 of 4.

Muralidharan said:   2 months ago
@Arul.

For the divisibility rule of 12 we must take rule 3 and rule 4 because 3*4 = 12.

So, it must satisfy both rule.
1. Let's take p = 1.
9 + p + 1 = 9 + 1 + 1 = 12.
We can divide 12 by both 3 and 4. So the condition is satisfied.

2. If p = 4
9 + p + 1 = 9 + 4 + 1 = 14 .
It is not divisible by both 3 and 4 . So that's why we take p = 1.
Thank you.

Edman said:   1 year ago
Someone, please explain it clearly to understand the answer.

Addagiri lakshmi priyanka said:   2 years ago
9 + p + 2 =11p.

If we add any number it must be divisible by 12.
So, if we add 1 then we get 11 + 1 = 12 is divisible by 12.
(2)

Arul said:   3 years ago
Why don't we take p=4 if we take p=4 it is also satisfying the condition right?

What if in the option both p=1 and p=4 is given?

Anyone, please explain.
(2)

MD MERAJ said:   4 years ago
Suppose we can ignore the 4864x because we need only p-value so I write;
9+p+2=11p (what we add in this to get divided from 12).
9+1+2=12 .........

So the p of value is 1.

I think you all understand now.
(4)

Satya said:   5 years ago
@Mayuri.

P can take 3 possible values 1, 4, 7; none of which are in the options.

Mayuri said:   5 years ago
Why only you are saying that : 9+p+2=12, where p=1.
Why can't we put p =4 instead of p=1?
(1)

Niketarajpatel said:   5 years ago
I can't understand the answer, please explain in shortcut.

Navdeep kaur said:   5 years ago
I can't understand. Please explain.

Xyz said:   6 years ago
If in the case of 48 if it has to be divisible by 12 then 4, 3 both should divide it if in que it is in form of 24*2 then how we will approach.
(1)


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