List of top Quantitative Aptitude Questions on Miscellaneous asked in CAT

If $5^{x-1} = 25^{y+1}$, what is the value of $x$ in terms of $y$?

If $2x + 3y = 15$ and $x - y = 1$, what is the value of $x + y$?

If $a^2 + b^2 = 25$ and $ab = 12$, what is $(a + b)^2$?

What is the value of $\log_2 8 + \log_3 9$?

What is the value of $2^{10}$?

A man can row 6 km/h in still water. If the river flows at 2 km/h, how long will it take him to row 16 km upstream?

If $x^2 - 4x + 3 = 0$, what is the value of $x^2 + \frac{1}{x^2}$?

If $\sin \theta + \cos \theta = \sqrt{2}$, what is $\sin \theta \cos \theta$?

If $f(x) = x^2 + 2x + 1$, what is $f(3)$?

If $x + y = 10$ and $xy = 21$, what is the value of $x^2 + y^2$?