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:
32 comments Page 2 of 4.
Aniket said:
8 years ago
Thanks @Praveen.
Aniruddh said:
7 years ago
But 4864 is not divisible by 3 as per the condition of the number should be divisible by both 3 & 4.
Navdeep kaur said:
5 years ago
I can't understand. Please explain.
Jenifer D said:
9 years ago
Understood, Thanks @Praveen.
Satya said:
5 years ago
@Mayuri.
P can take 3 possible values 1, 4, 7; none of which are in the options.
P can take 3 possible values 1, 4, 7; none of which are in the options.
Edman said:
1 year ago
Someone, please explain it clearly to understand the answer.
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.
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.
Jignesh said:
1 decade ago
9P2 is also divisable by 2 then?
Sachin said:
9 years ago
Good explanation, thanks @Praveen.
Himanshi said:
9 years ago
Didn't get it, can explain in a easy trick?
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