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basic quant

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Manager
Joined: 25 Mar 2013
Posts: 97
Location: India
Concentration: Entrepreneurship, Marketing
GPA: 3.5
Followers: 1

Kudos [?]: 18 [0], given: 57

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03 Apr 2014, 05:32
Hi all

Even its very simple to all but,I just want to know how can we find the rational numbers between two given natural numbers?
Example Find 5 rational numbers between 1 and 2 ?
I have seen that we need to add 1 + 2 /2 + 3/2 is one rational number....
But what about the other rational numbers?
I have seen the answers as [5][/4] , 11/8 ,13/8,7/4..

Can anyone say how to solve this?
Intern
Joined: 08 Apr 2014
Posts: 12
Followers: 1

Kudos [?]: 12 [0], given: 3

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10 Apr 2014, 03:21
kanusha wrote:
Hi all

Even its very simple to all but,I just want to know how can we find the rational numbers between two given natural numbers?
Example Find 5 rational numbers between 1 and 2 ?
I have seen that we need to add 1 + 2 /2 + 3/2 is one rational number....
But what about the other rational numbers?
I have seen the answers as [5][/4] , 11/8 ,13/8,7/4..

Can anyone say how to solve this?

A rational number is any number which can be expressed as a ratio (a/b)

hence, all the ratios whose value is >1 and <2 are the rational number between 1 and 2.
Veritas Prep GMAT Instructor
Joined: 16 Oct 2010
Posts: 6827
Location: Pune, India
Followers: 1917

Kudos [?]: 11920 [0], given: 221

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13 Apr 2014, 21:24
kanusha wrote:
Hi all

Even its very simple to all but,I just want to know how can we find the rational numbers between two given natural numbers?
Example Find 5 rational numbers between 1 and 2 ?
I have seen that we need to add 1 + 2 /2 + 3/2 is one rational number....
But what about the other rational numbers?
I have seen the answers as [5][/4] , 11/8 ,13/8,7/4..

Can anyone say how to solve this?

Rational numbers are those that can be written in the form a/b such as 3/2, 7/100, 87/3 etc. All natural numbers are also rational numbers since 2 = 2/1, 8 = 8/1 etc

When you need to write rational numbers between any two numbers, do this:

Between 1 and 2:
1 = 2/2
2 = 4/2
Number between them is 3/2

1 = 5/5
2 = 10/5
Numbers between them are 6/5, 7/5, 8/5, 9/5

1 = 10/10
2 = 20/10
Numbers between them are: 11/10, 12/10, 13/10....19/10
...
etc

So you have infinite rational numbers between any two given numbers.
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Re: basic quant   [#permalink] 13 Apr 2014, 21:24
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