Here is a collection of some problems I came across.Please upload solution and have fun.

1) ABCD is a trapezium with AB//CD and M,N are points on AD and BC such that MN//CD. If area ABNM = 1/2 area ABCD then 2(MN^2) =

2) P is any point on diameter AB of a circle with centre O .QPR is a chord such that angle APQ=45. AB^2=

3) Two dice are thrown simultaneously , probability of getting the sum as a prime no. is x/12, then x=

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