CAT Exam

A faulty odometer of a car always jumps from digit 4 to digit 6, always skipping the digit 5, regardless of the position. For example, after traveling for one kilometer the odometer reading changed from 000149 to 000160. If the odometer showed 000000 when the car was bought and now it shows 001000, how many kilometers has the car traveled?

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CAT Other Question
How many integral values of 'x' are possible for which (2^70 + 2^1039 + 2^x) equals the square of a whole number? Using the most powerful telescope ever made, scientists observe a class of young aliens on a planet millions of light years away. On the blackboard, their teacher has written these equations: 13 + 15 = 31, 10 x 10 = 100, 6 x 3 = 24 How many fingers do they have? (We count in base ten. What do they count in?)
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Answers :
1) 13/4
2) 729
3) 7