CAT Exam Logical Reasoning Cryptography

. z is the number in decimal system such that z=260^1024*73^512+128^129+81+9
let y be the octal representation of z (that is representation of z in a number system to the base 8 is y)how many times will the digit 3 be there in y??

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CAT Other Question

O and o' are the centres of the two circles with radii 7 and 9cm respectively. Then distance between the centres is 20cm.if pq be the transverse common tangent to the circles which cuts oo' at x,what is the lenght of o'x in cm?? Two friends A and B simultaneously start running around a circular track in the same direction. A travels at 6m/s and B runs at b m/s. If they cross each other at exactly two points on the circular track and b is a natural number less than 30, What are the possible values of b ?