List of top General Aptitude Questions on Number Systems asked in GATE AR, GATE PE

The product of the digits of a three-digit number is 70. The sum of the digits of this three-digit number is ______

\(P\), \(Q\), \(R\), \(S\), \(X\), and \(Y\) are distinct single-digit whole numbers taking values from 0 to 9.

\(PQ\) is a two-digit number with \(Q\) being in the units place and \(P\) in the tens place. Similarly, \(RS\) is a two-digit number.

It is known that \(PQ\) and \(RS\) are consecutive numbers and \((PQ)^2+(RS)^2=XYP\), with \(XYP\) being a three-digit number.

The value of \(Y\) is

The average of the monthly salaries of M, N and S is ₹4000. The average of the monthly salaries of N, S and P is ₹5000. The monthly salary of P is ₹6000.
What is the monthly salary of M as a percentage of the monthly salary of P?

A person travelled 80 km in 6 hours. If the person travelled the first part with a uniform speed of 10 kmph and the remaining part with a uniform speed of 18 kmph. What percentage of the total distance is travelled at a uniform speed of 10 kmph?

p and q are positive integers and \[ \frac{p}{q} + \frac{q}{p} = 3, \] then, \[ \frac{p^2}{q^2} + \frac{q^2}{p^2} = \]