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 ?
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 2 of 5.
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.
Archana said:
1 decade ago
How LCM value of 4, 16, 40 and 80 = 80 ?
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.
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.
Ishan said:
1 decade ago
Deepika you are right.
Hanumanth said:
1 decade ago
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.
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.
NaveenKK said:
1 decade ago
Add 1 in for all the numerators.
Or simply find the diff bw denominator-numerator whose diff is less that is your answer.
Or simply find the diff bw denominator-numerator whose diff is less that is your answer.
Yamini.p said:
1 decade ago
First compare the options from this multiply a&b.
Cross multiplication,
7/8x13/16 = 112,104,
So here 112 is highest so, 7/8 is highest.
Again comparison a&c.
7/8x31/40 = 280,240.
So here 280 is higher so, 7/8 is highest.
Again comparison a&d.
7/8x63/80 = 560,504.
So here 560 is higher so, 7/8 is highest.
The answer is 7/8 is the higher.
Cross multiplication,
7/8x13/16 = 112,104,
So here 112 is highest so, 7/8 is highest.
Again comparison a&c.
7/8x31/40 = 280,240.
So here 280 is higher so, 7/8 is highest.
Again comparison a&d.
7/8x63/80 = 560,504.
So here 560 is higher so, 7/8 is highest.
The answer is 7/8 is the higher.
Shyam said:
1 decade ago
Dear @Naveenkk can you please explain with details as @Hanumanth.
And is this method applicable to all this type of problems. Like those don't have common divisor.
And is this method applicable to all this type of problems. Like those don't have common divisor.
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