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:
50 comments Page 3 of 5.
Kanhaiya said:
10 years ago
How we get it?
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.
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.
Naveen said:
9 years ago
You are correct @Sarah.
Sruthi said:
9 years ago
Well said @Vaibhav and @Hanumanth.
Sirin said:
5 years ago
Lcm is
8 16 40 80.
Factor is 2 * 2 * 2 * 5 * 2 = 80.
8 16 40 80.
Factor is 2 * 2 * 2 * 5 * 2 = 80.
Shivani said:
1 month ago
7/8 13/16 31/40 63/80.
7/8 = 13/16
7 * 16 = 13 * 8.
112 > 104.
So, 7/8 is bigger.
So, take 7/8 with other values.
7/8 = 31/40,
7 * 40 = 8*31,
280 > 248.
7/8 is bigger again,
7/8 = 63/80.
560 > 504.
So, Finally 7/8 is bigger.
7/8 = 13/16
7 * 16 = 13 * 8.
112 > 104.
So, 7/8 is bigger.
So, take 7/8 with other values.
7/8 = 31/40,
7 * 40 = 8*31,
280 > 248.
7/8 is bigger again,
7/8 = 63/80.
560 > 504.
So, Finally 7/8 is bigger.
Archana said:
1 decade ago
How LCM value of 4, 16, 40 and 80 = 80 ?
Prashant pandey said:
2 decades ago
Yes vidya is right.
Nizamuddin said:
2 decades ago
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:
1 decade ago
What is explained in the problem is correct.
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