TCS Company Logical Reasoning Blood Relations

In a circle with centre O, AB and CD are two chords such that AB>CD and AB is perpendicular bisector of CD at E. P is a point on CD and when BP is extended it meets the circle at Q. For any point P, the triangle BPE is similar to triangle
option
a) AEC
b) QDP
c) QAB
d) ABC

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TCS Other Question
In this question, A^B means A raised to the power B. In which one of the following choices must P be greater than Q.
a) 0.9^P=0.9^Q
b) 0.9^P=0.92^Q
c) 0.9^P>0.9^Q
d) 9*P>9*Q George while driving along the highway saw road markers which are at equal distances from each other. He crosses the markers every 20 seconds. If he increases his speed by x meters per second, he crosses the markers at every 15 seconds. But if he increases his speed by y meters per second, he crosses the marker at every 10th second. If y-x = 40 meters per second, then what is the distance between two markers.