MBA Exam Numerical Ability LCM and HCF

A hare and a tortoise have a race along a circle of 100 yards diameter.The tortoise goes in one direction and the hare in the other, The harestarts after the tortoise has covered 1/5 of its distance and that too leisurely.The hare and tortoise meet when the hare has covered only 1/8of the distance. By what factor the hare increases its speed so as to'tiethe race?

1) 37.80
2) 40
3) 45.6
4) 12.3

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MBA Other Question
In Cricket, a batsman can score 0, 1, 2, 3, 4 or 6 runs of a ball. What is
the number of distinct sequences in which exactly 30 runs can be scored in an
over of six balls? Assume that all the runs are scored by batsmen only and there
are no extra balls/runs.

1) 36
2) 77
3) 86
4) 71
 What least number must be subtracted from each of the numbers 13,4,15,14 so that the ratio of first two is the same as the ratio of the next two?

1) 0
2) 1
3) 2
4) 17