List of top Quantitative Aptitude Questions

A pipe can fill a tank in 6 hours, and another pipe can empty it in 8 hours. If both are opened together, how many hours will it take to fill the tank? (Enter the answer as a fraction or decimal.)
What is the sum of the first 20 terms of the arithmetic sequence 3, 7, 11, …?
If \( 2x + 3y = 12 \) and \( x - y = 1 \), what is the value of \( x \)?
The area of a circle is 154 cm². What is its radius? (Use \( \pi = \frac{22}{7} \))
In a class, 60% of students are boys, and 40% are girls. If 30% of boys and 20% of girls passed an exam, what percentage of the class passed?
If \( x^2 - 5x + 6 = 0 \), what is the sum of the roots?
If \( \log_2 x + \log_2 (x - 2) = 3 \), what is \( x \)?
The ratio of two numbers is 3:4. If their sum is 70, what is the larger number?
A man can row at 6 km/h in still water. If the river flows at 2 km/h and it takes him 1 hour to row to a place and return, what is the distance to the place?
A train travels 360 km in 4 hours. What is its speed in km/h?
A sum of Rs. 10,000 is invested at 5% per annum compound interest for 2 years. What is the total amount?
A rectangle has an area of 60 cm² and a perimeter of 32 cm. What is the length if it is greater than the width?
A and B can complete a task in 12 days, B and C in 15 days, A and C in 20 days. How many days will A alone take?
The sum of the ages of a father and son is 50 years. Five years ago, the father’s age was four times the son’s age. What is the father’s current age?
A car travels from A to B at 60 km/h and returns at 40 km/h. What is the average speed for the round trip?
A shopkeeper sells an item at a 20% profit. If the cost price is increased by 10% and the selling price by Rs. 10, the profit percentage becomes 15%. What is the original cost price?

If the roots of the equation $x^2 - kx + 16 = 0$ are integers, what is the sum of the roots? 
 

If \(3x + 4y = 12\) and \(x - y = 1\), what is the value of \(x + y\)?

The area of a circle is $154$ cm². What is the circumference of the circle? 
 

A sum of money doubles in 4 years at a certain rate of compound interest. In how many years will it become 8 times? 
 

If $\log_2 x + \log_4 x = 5$, what is the value of $x$? 
 

A boat travels 36 km downstream in 3 hours and 24 km upstream in 3 hours. What is the speed of the boat in still water? 
 

If $x^2 - 5x + 6 = 0$, what is the value of $x^3 - 3x^2 + 2x$? 
 

A shop sells two types of pens at Rs. 10 and Rs. 15 each. If 50 pens are sold for Rs. 650, how many pens of Rs. 10 were sold? 
 

The cost price of an article is Rs. 200. It is sold at a 10% discount on the marked price, yielding a 25% profit. What is the marked price?