Aptitude - Decimal Fraction - Discussion

Discussion :: Decimal Fraction - General Questions (Q.No.16)

16. 

Which of the following fractions is greater than 3 and less than 5 ?
4 6

[A].
1
2
[B].
2
3
[C].
4
5
[D].
9
10

Answer: Option C

Explanation:

3 = 0.75,    5 = 0.833,    1 = 0.5,    2 = 0.66,    4 = 0.8,    9 = 0.9.
4 6 2 3 5 10

Clearly, 0.8 lies between 0.75 and 0.833.

4 lies between 3 and 5 .
5 4 6


Ketki said: (Jan 10, 2012)  
2/3 i.e. 0.66 also lies between 0.75 and 0.833

Gurpreet Singh said: (Jul 22, 2012)  
0.66 is not lie between 0.75 and 0.833, because 0.66 is less than 0.75.

Tamilselvi said: (Jun 18, 2013)  
Simple way. For this this problem alone.

Greater than 3/4 and less than 5/6.

Numerator is 3 and 5 = 4 (in between).

Denominator is 4 and 6 = 5 (in between).

So the is 4/5.

For time constraint so simple na.

Anupama Holla said: (Mar 27, 2014)  
Numerator being in between 3 & 5 and denominator being in between 4 & 6 may help everywhere, say if there was an option 9/11 instead of 4/5 then we had to opt for that coz 9/11 is .818181... which lies in between .75 & .833.

We also can go for this approach, by cross multiplying we can find which is greater,

eg: 3/4 = 1/2
3*2 = 1*4
6 = 4.

So 6 > 4
=> 3/4 > 1/2
So 1/2 is not an option. So we can continue...

Nabanita Sarkar said: (Jul 4, 2014)  
We have to find the fraction which is greater than 3/4 and less then 5/6.

In case of numerators 4 is greater than 3 and less than 5 and in case of denominators 5 is greater than 4 and smaller than 6,

So, the answers is C) 4/5.

Mohankumar said: (Aug 20, 2014)  
We can take lcm of all then multiply a, b, c, d, question part with lcm you 'll get the answer. Anybody have doubt?

Surya said: (Sep 20, 2014)  
We can find the inverse of the numbers which is easy to find. For Ex here inverse of 3/4 is 4/3 = 1.33 and 6/5 is 1.2. The question is greater than 3/4 and less than 5/6.

As we have inverse the numbers inverse the question also implies greater than 3/4 is less than 4/3 and less than 5/6 implies more than 6/5.

Only 5/4 inverse of 4/5 fits here.

Satya said: (Jun 21, 2015)  
Simply by adding numerators and denominators we get middle fraction.

3/4+5/6 = 3+5/4+6 = 8/10 = 4/5.

Surendra said: (Oct 5, 2018)  
Thanks @Mohankumar.

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