Quantitative Aptitude PYQs

Simplify

\(\frac{92736}{(274+830) \text { of } \frac{7}{4}}+513\)

If \(16 x^4+\frac{1}{16 x^4}=14159\), then find the value of \(2 \mathrm{x}+\frac{1}{2 x}\).

A man travels some distance at a speed of 12 km/h and returns at a speed of 8 km/h. If the total time taken by him is 3 hours and 45 minutes, then the total distance (in km) travelled is:

Mitu can do a piece of work in 12 hours, Titu and Situ together in 2 hours, and Mitu and Situ together in 3 hours. How long will Titu alone take to do it?

The following table shows the number of teachers in four colleges (male and female) and the percentage of trained teachers among them.

What is the total number of non-trained male teachers in college A and non-trained female teachers in college B ?

If two circles of radii 35 cm and 25 cm touch each other externally, then the length (in cm) of a common tangent is (Rounded off to 2 decimal places)

Which of the following is true when x = Sin A + Cos A; y = Sec A + Cosec A?

Study the given table and answer the question that follows.

The table shows the number of students in various courses in various cities A, B, C, D and E in India during the academic year 2022-2023.

In all the cities altogether, what is the difference between the students of science and those of MBA?

A drainage tile is a cylindrical shell 42 cm long. The inside and outside diameters are 8 cm and 14 cm, respectively. What is the volume (in cm³) of clay required for the tile? (Use π = 22/7)

A product was offered at a 10% trade discount on the marked price. After a cash discount of 10%, the product was sold for Rs. 7,290. The marked price (in Rs.) is:

The value of \(\frac{1}{4}+\frac{2}{5} \div\left[\left{2 \frac{1}{5}-2\right} \times 5\right]-\frac{2}{3}\) of \(\frac{3}{5}\) is:

Simplify the following expression:

\(\frac{(525+175)^2-(525-175)^2}{(525 \times 175)}\)

A person deposited some amount of money in the bank at simple interest. After 20 years, the amount became nine times the amount deposited. In how many years will the amount become 13 times the amount if the interest rate remains the same?

If \(x+\frac{1}{x}=2\), then find the value of \((x^4+\frac{4}{(x)^4})(x^3-\frac{4}{x^3}) \).

If the surface areas of two spheres are in the ratio of 9 ∶ 49, then the ratio of their volumes is: (Where π = 22/7)

The value of \(1+\frac{1}{1+\frac{1}{5+\frac{1}{2+\frac{1}{3}}}}\) is

Simplify 35 - [30 + {10 + (12 - 10 - 4)}].

If 24 people can build 90 identical walls in 25 days, then how many more days will 27 people require to build 162 such walls?

A grocer purchased 10 kg rice for ₹700. He spends some amount on transportation and then sells it for ₹1,400. If the percentage of profit made by the grocer is 30%, then what is the amount (in₹)he spends on transportation? (Round off to the nearest integer)

In an election between two candidates, 10% of the voters did not cast their votes and 75 votes were found invalid. The winner got 50% of the total votes expected and won by 170 votes. How many voters were enrolled in the voters' list?