CAT Exam Numerical Ability Number System

How many integral values of 'x' are possible for which (2^70 + 2^1039 + 2^x) equals the square of a whole number?

Read Solution (Total 3)

only 1 value
ie (2^35+2^1003)^2 = (2^70+2^1039+2^2006)

so x = 1003
6 years agoHelpfull: Yes(2) No(0)

I think
only one value

x= 1003
12 years agoHelpfull: Yes(0) No(2)
prashanthi,
i think it should be 2006.
12 years agoHelpfull: Yes(0) No(1)

CAT Other Question

The degree of each term of a polynomial P(x) is odd. When P(x) is divided by (x-3),the remainder is 6. What is the remainder when P(x) is divided by (x^2– 9) ? 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?