List of top Quantitative Ability Questions

An operation \( \$ \) is defined as follows. For any two positive integers \(x\) and \(y\),
\[ x \$ y = \sqrt{ \sqrt{\dfrac{x}{y}} + \sqrt{\dfrac{y}{x}} } \]
Which of the following is an integer?

If \(a\), \(b\) and \(c\) are three real numbers, then which of the following is NOT true?

If \(f(x) = \cos(x)\) then the 50th derivative of \(f(x)\) is:

How many numbers between 1 and 1000 (both excluded) are both squares and cubes?

The curve \(y = 4x^2\) and \(y^2 = 2x\) meet at the origin O and at a point P, forming a loop. The straight line OP divides the loop into two parts. What is the ratio of the areas of the two parts of the loop?

If \(S_n\) denotes the sum of the first \(n\) terms of an Arithmetic Progression, and \(S_1 : S_4 = 1 : 10\), then the ratio of the first term to the fourth term is:

The sides of a rhombus ABCD measure 2 cm each, and the difference between two of its angles is \(90^{\circ}\). Then the area of the rhombus is:

In an examination, the average marks obtained by students who passed was \(x\%\), while the average of those who failed was \(y\%\). The average marks of all the students taking the exam was \(z\%\). Find, in terms of \(x\), \(y\) and \(z\), the percentage of students taking the exam who failed.

Three circles A, B and C have a common centre O. A is the inner circle, B is the middle circle, and C is the outer circle. P is a point on the outer circle C, and the radius OP cuts the inner circle at X and the middle circle at Y, such that \(OX = XY = YP\). The ratio of the area of the region between the inner and middle circles to the area of the region between the middle and outer circles is:

Last year, Mr Basu bought two scooters. This year, he sold both of them for Rs 30,000 each. On one scooter, he earned a profit of 20%, and on the other, he made a loss of 20%. What was his net profit or loss?