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

Discussion Forum : Problems on H.C.F and L.C.M - General Questions (Q.No. 24)
24.
Which of the following fraction is the largest ?
7
8
13
16
31
40
63
80
Answer: Option
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

Discussion:
49 comments Page 4 of 5.

Praveen said:   1 decade ago
Its right.

Jyoti mehta said:   1 decade ago
Why we multiply 7/8 to 10 ,13/16 to 5 and 31/40 to 2 ?

Power star pawan kalyan said:   1 decade ago
@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:   1 decade ago
The enswer explained is corect and a time saver too.

Ashok said:   1 decade ago
This logic is easy to find the answer & time saving too.

Sandeep ch said:   1 decade ago
Please explain clearly.

Folake said:   1 decade ago
Kalyan please explain it very well. I don't really understand that logic.

Amita said:   1 decade ago
(a) 7/8 (b) 13/16 (c) 31/40 (d) 63/80.

First of all I compare b/t a and b with cross multiplication.

7/8, 13/16.

7*16 13*8.

112 >104.

So 7/8>13/16.

Again compare b/t 7/8 and 31/40.

7*40 31*8.

280 > 248, so 7/8>31/40.

Again compare b/t 7/8 and 63/80.

7*80 8*63.

560 > 504, so 7/8>63/80.

So 7/8 is largest.

Deepika said:   1 decade ago
@Archana

4,16,40,80

its simple yar first we have to check that 80 have multiples of 4,16,40
like 4*20,16*5,40*2,80*1.

So 80 is the correct lcm value check like this is is the easy way.

Deepika said:   1 decade ago
Hi Vijaya nice short cut.


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