List of top Quantitative Aptitude Questions

Gopi constructed a right-angled triangle. By modifying the dimensions of first triangle, he drew another triangle. The modifications are, the largest side is increased by 5 cm, the smallest side is doubled and the third side is increased by 50%. If the triangle formed with these new dimensions has equal angles, then what is the perimeter of the new triangle?

What is the ratio of the sum of the squares of the sides of a triangle to the sum of the squares of its median?

There are eight persons, P, Q, R, S, T, U, V and W, standing in a row and four distinct articles A, B, C and D are to be given to four people. No four neighbouring persons receive an article. How many ways can this distribution be done?

In the figure below, PT and ST are two secants. If O is the centre of the circle and \( PQ = 2QT = 8 \) cm, \( OS = 5 \) cm, then what is the measure of the line OT? (Figure not drawn to scale)

If \( f(a,b) = a^2+b^2 \) and \( g(a,b) = \frac{2}{b^2}\left[a^2+b^2\right] \), then what is the value of \( f(6, 3) - g(8, 4) \)?

What is the area of the square, if four vertices lie on the circumference of a circle where the area of the circle is four times its diameter in magnitude?

The charge for sending a telegram is constant for the first 10 or less words and an amount proportional to the number of words exceeding 10. If the charge for sending a 15 word telegram is Rs. 3.00 and that for a 20 word telegram is Rs. 4.25, how much would it cost to send a 35 word telegram?

Given \( A = x + y^2 + z^3 \). If x increases by 6300%, y increases by 700% and z increases by 300%, then what is the percentage increase in the value of A?

P, Q and E start a joint venture, wherein they make an annual profit. P invested one-third of the capital for one-fourth of the time, Q invested one-fourth of the capital for one-half of the time and R invested the remainder of the capital for the entire year. P is a working partner and gets a salary of Rs. 10,000 per month. The profit after paying P's salary is directly proportional to the sum each one has put and also to the square of the number of months for which each has put their sum in the venture. If in a year P earns Rs. 60,000 more than Q, then how much does P earn?

A shop owner bought a total of 64 shirts from a wholesale market that came in two sizes, small and large. The price of a small shirt was INR 50 less than that of a large shirt.She paid a total of INR 5000 for the large shirts, and a total of INR 1800 for the small shirts.Then, the price of a large shirt and a small shirt together, in INR, is

The number of integers \( n \) that satisfy the inequalities \( |n - 60| < |n - 100| < |n - 20| \) is 

For a real number a, if \(\frac{log_{15}a+log_{32}a}{(log_{15}a)(log_{32}a)}= 4\), then a must lie in the range

If \(f(x)=x^2−7x\) and \(g(x)=x+3\), then the minimum value of \(f(g(x))−3x\) is

\(f(x) = \) \(\frac{x^2+2x−15}{x^2−7x−18}\) is negative if and only if

For a sequence of real numbers \(x_1, x_2, ..., x_n,\) if \(x_1 - x_2 + x_3 - ... + (-1)^{n + 1}x_n =n^2 + 2n\) for all natural numbers n, then the sum \(x_{49} + x_{50}\) equals

The amount Neeta and Geeta together earn in a day equals what Sita alone earns in 6 days. The amount Sita and Neeta together earn in a day equals what Geeta alone earns in 2 days. The ratio of the daily earnings of the one who earns the most to that of the one who earns the least is

If a certain weight of an alloy of silver and copper is mixed with 3 kg of pure silver, the resulting alloy will have 90% silver by weight. If the same weight of the initial alloy is mixed with 2 kg of another alloy which has 90% silver by weight, the resulting alloy will have 84% silver by weight. Then, the weight of the initial alloy, in kg, is

If r is a constant such that \(|x^2-4x-13| = r\) has exactly three distinct real roots, then the value of r is

For all real values of x, the range of the function \(f(x) =\frac{ x^2+2x+4}{2x^2+4x+9}\) is

Onion is sold for 5 consecutive months at the rate of Rs 10, 20, 25, 25, and 50 per kg, respectively. A family spends a fixed amount of money on onion for each of the first three months, and then spends half that amount on onion for each of the next two months. The average expense for onion, in rupees per kg, for the family over these 5 months is closest to

A basket of 2 apples, 4 oranges and 6 mangoes cost the same as a basket of 1 apple, 4 oranges and 8 mangoes, or a basket of 8 oranges and 7 mangoes. Then the number of mangoes in a basket of mangoes that has the same cost as the other baskets is

A park is shaped like a rhombus and has area 96 sq m. If 40 m of fencing is needed to enclose the park, the cost, in INR, of laying electric wires along its two diagonals, at the rate of ₹125 per m, is

Let D and E be points on sides AB and AC, respectively, of a triangle ABC, such that AD : BD = 2 : 1 and AE : CE = 2 : 3. If the area of the triangle ADE is 8 sq cm, then the area of the triangle ABC, in sq cm, is

A circle of diameter 8 inches is inscribed in a triangle ABC where ∠ABC = 90°. If BC = 10 inches then the area of the triangle in square inches is

From a container filled with milk, 9 litres of milk are drawn and replaced with water.Next, from the same container, 9 litres are drawn and again replaced with water. If the volumes of milk and water in the container are now in the ratio of 16 : 9, then the capacity of the container, in litres, is