self Maths Puzzle

The circular arcs PR and QR have Q and P as centers respectively. As shown in the figure, the circle is tangent to the arcs PR and QR as well as the line segment PQ. If the circumference of the circle is 36, then the length of arc QR is

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the answer is 24/pie
9 years agoHelpfull: Yes(0) No(0)

self Other Question

Let [x] denote the greatest integer less than or equal to x. Let x and y satisfy the simultaneous equations

y = 2[x] + 2

y = 3[x - 2] + 2.

If x is not an integer, then x + y is Thr number of ways in which 30 coins of one rupee each be given to six persons so that none of them receives less than 4 rupees is:

Option
a) 246
b) 462
c) 30!/6!
d) None of these