Others Maths Puzzle

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?

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Others Other Question

the way a person climbs a stair is given by f(n)=n, where n is the nth step he takes and f(n) defines the number of steps he climbs in the nth step. if the person finishes climbing the staircase in his 4th step, find the total number of steps in the stairs? 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'.