Quantitative Aptitude PYQs

The curved surface area of a cone whose base radius is 7 cm and slant height is 10 cm is:

For a triangle ABC, D and E are two points on AB and AC such that AD = \(\frac{1}{6}\) AB, AE = \(\frac{1}{6} \) AC. If BC = 22 cm, then DE is ___________. (Consider up to two decimals)

What is the number of valid votes cast in favour of a candidate in an election, if the candidate received 75% of the total valid votes, and 5% of the total votes were declared invalid, given that the total number of voters was 1,46,000?

If \(\cot θ=\frac{4}{3}, 0<θ<\frac{\pi}{2}\), and 5p cos² θ sin θ = cot² θ, then the value of p is:

Study the given table and answer the question that follows.

The table shows the production of five types of cars P, Q, R, S and T by a company from the year 1989 to 1994.

During the period 1989-94, which type of car featured a continuous increase in production?

Swastik saves 20% of his income while spends the remaining amount on food, rent, education and shoping. 15% of the income is spent on food, while Rs. 12,800 is spent on rent, ₹32,000 on education and ₹7,200 on shopping. The amount spent on shopping is 11.25% of the total expenditure. How much money (in Rs.) is spent on food?

A thief is noticed by a policeman from a distance of 300 m. The thief starts running and the policeman starts chasing him. The thief and policeman run at the rate of 11 km/h and 13 km/h, respectively. After running for how many kilometres will the policeman be able to catch the thief?

Find the LCM of \(\frac{3}{2}, \frac{81}{16}\) and \(\frac{9}{8}\).

Train ‘A’ requires 15 seconds to cross train ‘B’ of length 300 m moving in the opposite direction at a speed of 36 km/h. Further, train ‘A’ requires 30 seconds to cross a 500 m long stationary train ‘C’. Find the length (in m) of train ‘A’.

If the marked price is 75% more than the cost price and a discount of 40% is allowed on the marked price, then the percentage profit is:

A can do a piece of work in 8 days, while B can do it in 7 days. If they work at it alternately beginning with A, then in how many days will the work be completed?

If \(\cos A=\frac{15}{17}, 0 \leq A \leq 90^{\circ}\), then the value of cot (90° - A) is:

If the difference between the selling prices of an article at profits of 10% and 7% is Rs. 6, then the cost price (in Rs.) of the article is:

John can do a piece of work alone in 20 days, while Ravi can do the same piece of work alone in 28 days. In how many days can the duo complete the same work if they work together?

A conical shape vessel has a radius of 21 cm and has a slant height of 25 cm. If the curved part of the vessel is to be painted white, find the cost (in Rs.) of painting at the rate of Rs. 1.5 per cm².

A hostel mess requires 217 eggs for a week. How many eggs will it require in total for the months of July, August and September?

Sukhvir purchased some perishable items for sale but 30% of those items could not be sold and went bad. However, Sukhvir managed to sell the rest of the items at a price that helped him earn an overall profit of 19%. At what percentage above the cost price of each item purchased by Sukhvir did he sell each of the items that did not go bad?

Find the value of \(\frac{\cos 65^{\circ}}{\sin 25^{\circ}}+\frac{5 \sin 19^{\circ}}{\cos 71^{\circ}}-\frac{3 \cos 28^{\circ}}{\sin 62^{\circ}}\).

If \(\frac{A}{L}+\frac{M}{B}=1\) and \(\frac{B}{M}+\frac{N}{C}=1\), then the value of \(\frac{L}{A}+\frac{C}{N}\) is:

In a village election, Sharuk got 80% of the total valid votes. 10% of the votes were invalid. If the total number of votes was 4500, then find the number of valid votes the other candidate got.