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Collection of some questions on Number System

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Collection of some questions on Number System [#permalink]

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I have practiced number system questions from various sources and documented most of them at one place.
Attached are the questions for you.

Happy solving :)
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Number System - Solution.pdf [20.12 KiB]
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Number System Practice Questions.pdf [92.09 KiB]
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Collection of some good questions on Number System

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Re: Collection of some questions on Number System [#permalink]

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Thanks for the compilation!
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Collection of some good questions on Number System

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Are there any solutions available for the above questions?

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vikram230790 wrote:
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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I was looking for a detailed solution for all the problems.

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Re: Collection of some questions on Number System [#permalink]

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New post 02 Oct 2017, 21:02
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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Re: Collection of some questions on Number System [#permalink]

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New post 02 Oct 2017, 22:02
swatilimaye wrote:
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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Re: Collection of some questions on Number System [#permalink]

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New post 10 Oct 2017, 01:38
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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Re: Collection of some questions on Number System [#permalink]

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New post 10 Oct 2017, 02:28
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Anu1805 wrote:
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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It's 5^40 + 5^37 NOT 540 + 537
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Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

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Re: Collection of some questions on Number System [#permalink]

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New post 10 Oct 2017, 13:38
Anu1805 wrote:
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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Re: Collection of some questions on Number System   [#permalink] 10 Oct 2017, 13:38
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