Aptitude - Problems on H.C.F and L.C.M - Discussion

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"To err is human; to forgive, divine."

- Alexander Pope

24.

Which of the following fraction is the largest ?

[A].

[B].

[C].

[D].

Answer: Option C

Explanation:

L.C.M. of 8, 16, 40 and 80 = 80.

7 = 70 ; 13 = 65 ; 31 = 62

8 80 16 80 40 80

Since, 70 > 65 > 63 > 62 , so 7 > 13 > 63 > 31

80 80 80 80 8 16 80 40

So, 7 is the largest.

8

Vijaya said: (Tue, Nov 9, 2010 06:52:00 AM)

Easy way is 7/8=0.875 13/16=0.8125 31/40=0.775 63/80=0.7875 by this we can easily say dat 7/8 is the largest fraction of them.

Prashant Pandey said: (Tue, Feb 1, 2011 12:55:31 PM)

Yes vidya is right.

Nizamuddin said: (Mon, Feb 7, 2011 03:20:27 AM)

No Prashant. Vidya is not correct to find the answer. Because you have to calculate all the possible values to retreive the answer. This is long process too rather than the problem explained in the beginning.

Keerthana said: (Sat, Feb 19, 2011 07:05:56 AM)

What is explained in the problem is correct.

Power Star Pawan Kalyan said: (Mon, Jun 6, 2011 02:08:40 PM)

@Jyoti Mehta We first find the lcm of the given numbers...7/8,13/16,31/40,63/80 then We'll get that value=80 So.. there goes the process and you'll get the above result...;)

Rohit said: (Tue, Jun 14, 2011 11:51:40 AM)

The enswer explained is corect and a time saver too.

Ashok said: (Sun, Aug 7, 2011 12:58:48 PM)

This logic is easy to find the answer & time saving too.

Folake said: (Thu, Sep 8, 2011 04:06:35 PM)

Kalyan please explain it very well. I don't really understand that logic.

Deepika said: (Sat, Sep 17, 2011 07:03:26 PM)

@Archana 4,16,40,80 its simple yar first we have to check that 80 have multiples of 4,16,40 like 420,165,402,801. So 80 is the correct lcm value check like this is is the easy way.

Hanumanth said: (Sat, Dec 15, 2012 10:49:44 AM)

The simple way to solve this type of problems is. The difference between the numerator and denominator less than any of the given numbers is the largest value. Ex: 7/8=1. 13/16=3. 31/40=9. 63/80=17. Less difference is 1 so 7/8 is greater value.