Others Maths Puzzle

The two perpendicular sides of a right angled triangle have lengths of 85 cm and 204 cm. A semi-circle of radius 'r' is
inscribed in the triangle such that its diameter lies along the hypotenuse of the triangle and the other two sides of the
triangle are tangent to the semi-circle. Find 'r'.

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Others Other Question

There is a group of 4 people who have to cross a long and rickety bridge at night. They have only one torch (which is
required to cross the bridge) and the bridge can carry only 2 people at a time. The times taken by the 4 people to cross
the bridge are 1 minute, 3 minutes, 4 minutes and 7 minutes. (When two people are crossing together, the time taken is
equal to that of the slower one). What is the minimum time required, in minutes, for them all to cross? A paragraph is given below from which the last sentence has been deleted. From the given options,choose the one that completes the paragraph in the most appropriate way.
Here are a few scenes from a revolution: In early February, Barack Obama ended a six-month pressconference drought by taking questions from YouTube. When a madman crashed his plane into a
Texas office building a couple of weeks later, the White House responded on its blog.
__________________________________
(a) In response, Obama’s advisers have had to remake the rules of presidential p.r.
(b) But the White House has proved to be a harder perch from which to dominate the conversation.
(c) During the 2008 campaign, Obama’s team had been able to exploit new technologies as no political campaign had before.
(d) And during the bipartisan summit on health reform, press secretary Robert Gibbs used Twitter to keep score.