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Are there any solutions available for the above questions?
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Are there any solutions available for the above questions?


There are 2 files- 1st file with problems & 2nd with the solutions.

Hope it helps :)
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Are there any solutions available for the above questions?

Download Number System - Solution.pdf (the firs file).
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I was looking for a detailed solution for all the problems.
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I was looking for a detailed solution for all the problems.

Most of them are discussed on the forum. Please use SEARCH.
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Can someone please solve this question...


Q8. How many distinct prime factors does 540 + 537 have?
A) 1
B) 2
C) 3
D) 4
E) 5
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Can someone please solve this question...


Q8. How many distinct prime factors does 540 + 537 have?
A) 1
B) 2
C) 3
D) 4
E) 5

Please follow the rules when posting a question: https://gmatclub.com/forum/rules-for-po ... 33935.html

Next, it should be:
How many distinct prime factors does 5^40 + 5^37 have?

\(5^{40} + 5^{37} =5^{37}(5^3+1)=5^{37}*126 =2*3^2*5^{37}*7\).

Thus, 5^40 + 5^37 has 4 primes: 2, 3, 5, and 7.

Answer: D.

Similar question: https://gmatclub.com/forum/how-many-pos ... 89492.html

Hope it helps.
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I am getting answer as 3 prime factors when solved as below:

540+537=1077 =>1*3*359.

Here 359 is prime number, so making a total of 3 prime factors for 540+537.

Let me know if there is any error in above solution.


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Anu1805
I am getting answer as 3 prime factors when solved as below:

540+537=1077 =>1*3*359.

Here 359 is prime number, so making a total of 3 prime factors for 540+537.

Let me know if there is any error in above solution.


Sent from my iPhone using GMAT Club Forum mobile app

It's 5^40 + 5^37 NOT 540 + 537
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Anu1805
I am getting answer as 3 prime factors when solved as below:

540+537=1077 =>1*3*359.

Here 359 is prime number, so making a total of 3 prime factors for 540+537.

Let me know if there is any error in above solution.


Sent from my iPhone using GMAT Club Forum mobile app


if you take 540+537 then also it will be 2 not 3 as '1' is not a prime number and can not be a prime factor :)
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