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?

Quant Question

By Tushar Rana · Sep 19, 2019 ·Quant
5 Answers
Dinesh Kukreja answered Jun 11, 2018
Solution 1:
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.

Solution 2:
2P has 28 divisors =4x7,
3P has 30 divisors
Hence P=2^5 3^3
6p =2^6 3^4
Hence 35 divisors

Rahul Prajapati answered Aug 13, 2019
Solution doesn't satisfie, can someone solve this correctly.

Jyothi Sai answered Jan 04, 2020
How you write 2p and 3p....will you please give any explanation....

Raghav Sharma answered 2 days ago
Answer is A 

This discussion on 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)48Correct answer is option 'A'. Can you explain this answer? is done on EduRev Study Group by Quant Students. The Questions and Answers of 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)48Correct answer is option 'A'. Can you explain this answer? are solved by group of students and teacher of Quant, which is also the largest student community of Quant. If the answer is not available please wait for a while and a community member will probably answer this soon. You can study other questions, MCQs, videos and tests for Quant on EduRev and even discuss your questions like 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)48Correct answer is option 'A'. Can you explain this answer? over here on EduRev! Apart from being the largest Quant community, EduRev has the largest solved Question bank for Quant.
Ask a question

Share with a friend

Related Content

Forum Category

Upgrade to Infinity