Practice Quant Miscellaneous Questions and Answers

• If a + b + c = 0, find the value of a³ + b³  + c³ .
• A car travels 120 km at a speed of 40 km/h and returns at a speed of 60 km/h. Find the average speed of the car for the whole journey.
• A sum of ₹25000 is invested in two parts, one at 8% and the other at 10%. The total interest earned after a year is ₹2300. How much was invested at eac...
• The sum of the ages of a father and his son is 50 years. Five years ago, the father's age was four times that of his son. What are their current ages? ...
• A rectangular box has dimensions 6 cm, 8 cm, and 10 cm. Find the diagonal of the box.
• The centroid of a triangle is located at the point (2, 4). If one vertex is at (0, 0) and another at (4, 0), find the coordinates of the third vertex.
• What is the total number of female employees across all departments?
• C is 50% more efficient than D. Together, they can finish a task in 12 days. How many days will D alone take to complete the task?
• In triangle ABC, if angle A = 30°, angle B = 60°, and side a = 10 cm, find side b.
• What is the amount allocated for Transportation and Entertainment combined?
• A vehicle travels 100 km at a speed of 50 km/h and 200 km at a speed of 75 km/h. What is the average speed for the entire trip?
• A trader marks up the price of an article by 50% above the cost price. He then offers a discount of 20% on the marked price. What is his profit percentage ...
• The sum of two numbers is 20 and their product is 96. Find the numbers.
• A sum of money doubles itself in 5 years at simple interest. In how many years will it become 5 times itself at the same rate of interest?
• A man observes the top of a tower at an angle of elevation of 45°. He walks 50 meters towards the tower, and the angle of elevation becomes 60°. What is ...
• What is the total number of cars sold by Dealership S in the given five months?
• In a triangle ABC, the internal bisector of ∠ A meets side BC at D. If AB = 6 cm, AC = 9 cm, and BC = 12 cm, what is the length of BD? 
• A shopkeeper sells an article at 20% profit. If the cost price of the article is increased by 25% and the shopkeeper sells the article at the same selling ...
• Find the minimum value of sec x + cosec x:
• A shopkeeper marks his goods 50% above the cost price but allows his customers a discount of 20% on the marked price. What is his actual profit if selling ...
• What is the total amount allocated to Research and Development and Operations combined?
• If sin⁶  x + cos⁶  x = 7/8, find sin⁴  x + cos⁴  x:
• In a right triangle, the hypotenuse is 13 cm and one leg is 5 cm. What is the radius of the circle inscribed in the triangle? 
• A person invested 6,000 in a bank at compound interest compounded annually. After 3 years, the sum became 7,986. What was the rate of interest?
• The ratio of two numbers is 3:5. If 9 is subtracted from both, the new ratio becomes 12:23. Determine the original numbers.
• A car covers a distance of 240 km at a speed of 60 km/h. It then covers another 180 km at a speed of 90 km/h. What is the average speed of the car for the ...
• Two tangents are drawn from an external point to a circle with radius 8 cm, and the distance between the external point and the center of the circle is 17 ...
• A product is sold at ₹720 after two successive discounts of 10% and 20%. Calculate the marked price of the product.
• If cos θ = 3/5, find the value of sin 2θ:
• Two pipes A and B can fill a tank in 15 hours and 20 hours, respectively. If both pipes are opened together and then pipe A is closed after 5 hours, how lo...
• The ages of P, Q, and R are in the ratio 2:3:5. After 5 years, the sum of their ages will be 75 years. What are their present ages?
• A sum of rupees 5,000 is invested at 15% per annum compound interest for 1.5 years, compounded half-yearly. What will be the final amount?
• What is the percentage increase in the sales of Company R from 2018 to 2022?
• The sides of a triangle are 13 cm, 14 cm, and 15 cm. What is the radius of the circumcircle of this triangle? 
• A mixture of 60 liters contains milk and water in the ratio 7:5. How much milk should be added to make the ratio 3:1?
• A hemispherical bowl of inner radius 10 cm is filled with water. If the water is poured into a cylindrical container with a radius of 5 cm, what will be th...
• A father is three times as old as his son. Four years ago, he was five times as old as his son. What are their present ages?
• A can complete a work in 12 days, while B can complete it in 15 days. How many days will they take to finish the work together?
• A pipe can fill a tank in 6 hours, while another pipe can empty it in 8 hours. If both pipes are opened together, how long will it take to fill the tank?
• A cuboid has dimensions 12 cm × 8 cm × 6 cm. If a cylindrical hole of diameter 4 cm is drilled through the entire length of the cuboid, what is the volum...