P is a natural number. 2P has 28 divisors and 3P has 30 divisors. How many divisors of 6P will be there?

- a)35
- b)40
- c)45
- d)48

Correct answer is option 'A'. Can you explain this answer?

5 Answers

Dinesh Kukreja
answered
Jun 11, 2018

2P is having 28(4*7) divisors but 3P is not having a total divisors which is divisible by 7, so the first part of the number P will be 2^5.

Similarly, 3P is having 30 (3*10) divisors but 2P does not have a total divisors which is divisible by 3. So 2nd part of the number P will be 3^3. So, P = 2^5*3^3 and the solution is 35.

2P has 28 divisors =4x7,

3P has 30 divisors

Hence P=2^5 3^3

6p =2^6 3^4

Hence 35 divisors

Jyothi Sai
answered
Jan 04, 2020

How you write 2p and 3p....will you please give any explanation....

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