IIT-JEE Exam Numerical Ability

a,b,c....in Ap
Geometric mean x,a,b =Geometric mean y,b,c
Then PT x^2 and y^2 arithmetic mean =b^2

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IIT-JEE Other Question

A and B take a straight route to the same terminal points and travel with constant speed. at the initial moment,the positions of the two and the terminal pt. form a equilateral triangle. when A moves a distance of 80km, the triangle becomes right angled. when A is at a dist. of 120km from the end pt. ,B has already reached the end pt. Find the distance between them at the initial moment assuming that there are integral distances throughout the movements described. Which of the following fractions is the largest?
a 7/9
b 12/15
c 18/21
d 5/6