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# Collection of some questions on Number System

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Manager
Joined: 29 Apr 2013
Posts: 93
Location: India
Concentration: General Management, Strategy
GMAT Date: 11-06-2013
WE: Programming (Telecommunications)
Collection of some questions on Number System  [#permalink]

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25 Sep 2013, 07:04
61
10
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
Attachments

Number System - Solution.pdf [20.12 KiB]

Number System Practice Questions.pdf [92.09 KiB]

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Collection of some good questions on Number System

Manager
Joined: 01 Oct 2010
Posts: 77
Location: United States (NC)
GPA: 2.3
WE: Information Technology (Computer Software)
Re: Collection of some questions on Number System  [#permalink]

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26 Sep 2013, 09:06
5
1
Thanks for the compilation!
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Manager
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Location: India
Concentration: General Management, Strategy
GMAT Date: 11-06-2013
WE: Programming (Telecommunications)
Re: Collection of some questions on Number System  [#permalink]

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28 Sep 2013, 08:43
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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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03 Sep 2014, 08:11
1
Are there any solutions available for the above questions?
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Re: Collection of some questions on Number System  [#permalink]

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03 Sep 2014, 08:13
1
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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Posts: 51121
Re: Collection of some questions on Number System  [#permalink]

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03 Sep 2014, 08:14
1
1
vikram230790 wrote:
Are there any solutions available for the above questions?

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

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03 Sep 2014, 08:14
I was looking for a detailed solution for all the problems.
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Joined: 02 Sep 2009
Posts: 51121
Re: Collection of some questions on Number System  [#permalink]

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03 Sep 2014, 08:15
vikram230790 wrote:
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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Re: Collection of some questions on Number System  [#permalink]

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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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Joined: 02 Sep 2009
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Re: Collection of some questions on Number System  [#permalink]

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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

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.

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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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.

Sent from my iPhone using GMAT Club Forum mobile app
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Joined: 02 Sep 2009
Posts: 51121
Re: Collection of some questions on Number System  [#permalink]

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10 Oct 2017, 02:28
1
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

It's 5^40 + 5^37 NOT 540 + 537
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Re: Collection of some questions on Number System  [#permalink]

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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
Re: Collection of some questions on Number System &nbs [#permalink] 10 Oct 2017, 13:38
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