List of top General Aptitude Questions on Quantitative Aptitude asked in GATE DA

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

Consider two distinct positive real numbers \(m, n\), with \(m > n\).

Let \(x = n^{\log_{10}(m)}\) and \(y = m^{\log_{10}(n)}\). The relation between \(x\) and \(y\) is _______.

Five integers are picked from 0 to 20, with possible repetitions, such that their mean is 12, median is 18, and they have a single mode of 20.

Ignoring permutations, the number of ways to pick these five integers 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 \(Q\) 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 __________.
In the given figure, \(P\), \(Q\), and \(R\) are three points on a circle of radius 10 cm with \(O\) as its center, \(\overline{PQ} = \overline{RQ}\), and \(\angle PQR = 45^{\circ}\). The figure is representative.
The area of the shaded region \(PQRO\) is ______________ \(\text{cm}^2\).