Practice Quant Miscellaneous Questions and Answers

• A person has ₹5000. He invests 40% of it in scheme A at 8% per annum and the remaining in scheme B at 10% per annum. What is the total interest earned at...
• The sum of the ages of A and B is 50 years. If A is 10 years older than B, what are their ages?
• A man travels 60 km at a speed of 30 km/h and then travels 90 km at a speed of 60 km/h. What is his average speed for the entire journey?
• A cone has a height of 12 cm and a base radius of 5 cm. A sphere with the same volume as the cone is constructed. What is the radius of the sphere?
• If sin x + cos x = 7/5, find sin⁴ x + cos⁴ x:
• A right circular cone has a base radius of 4 cm and a height of 9 cm. If a cylindrical hole of radius 2 cm is drilled through the axis of the cone, what is...
• Calculate the total percentage increase in employees from 2019 to 2023 for the entire company. 
• In a school, 40% of the students are boys, and the rest are girls. If 75% of the boys and 80% of the girls passed an exam, what percentage of the total stu...
• In a circle, two chords AB and CD intersect inside the circle at P. If AP = 4 cm, PB = 6 cm, CP = 5 cm, and PD = x cm, what is the value of x?
• The average of 20 numbers is 50. If two numbers, 40 and 60, are removed, what is the new average?
• A rectangular prism has dimensions 10 cm × 6 cm × 4 cm. If a cube of side 2 cm is removed from one of the corners, what is the volume of the remaining so...
• Find the general solution of cos 3x = 1/2:
• A trader marks up the price of an article by 50% and offers a discount of 20%. If the trader makes a profit of ₹150 on the article, what was its cost pri...
• A car covers a distance of 450 km at a constant speed. If the car’s speed had been 15 km/h faster, it would have taken 1 hour less to cover the same dist...
• A sum of money becomes ₹4600 after 3 years and ₹5400 after 5 years at simple interest. What is the principal amount?
• A shopkeeper mixes two varieties of tea, one costing ₹300 per kg and the other ₹450 per kg, in the ratio 5:3. He sells the mixture at ₹400 per kg. Fi...
• A and B invested ₹50,000 and ₹75,000, respectively, in a business. After 6 months, A withdrew ₹10,000, and B added ₹25,000. At the end of the year,...
• Two pipes A and B can fill a tank in 12 hours and 16 hours, respectively. A third pipe C can empty the tank in 24 hours. If all three pipes are opened toge...
• A triangular prism has a triangular base with a height of 6 cm and a base length of 8 cm. If the height of the prism is 10 cm, what is the volume of the pr...
• If tan(π/4 + θ) = 3, find tan(2θ):
• Two circles of radii 8 cm and 3 cm have their centers 15 cm apart. What is the length of the common internal tangent? 
• In 2023, Department D overspent by 10% of its allocated budget. What is the total expenditure of Department D after the overspending?
• A boat can travel 36 km upstream in 6 hours. The same boat can travel 63 km downstream in 3 hours. What is the speed of the boat in still water?
• A and B together can complete a task in 12 days. A alone can complete the task in 20 days. In how many days can B alone complete the task?
• The salaries of A and B are in the ratio 3:5. If the salary of A increases by 20% and the salary of B increases by 10%, the new sum of their salaries becom...
• A sum of money becomes ₹7800 after 3 years and ₹8500 after 4 years at simple interest. What is the principal amount?
• In a triangle, the inradius is 6 cm, the circumradius is 9 cm, and the area is 54 cm². What is the semiperimeter of the triangle? 
• A sphere has a diameter of 10 cm. A cone with a height of 10 cm and a radius of 5 cm is removed from the sphere. What is the volume of the remaining solid?
• Find the value of cos 15° × cos 75° + sin 15° × sin 75°:
• In a cyclic quadrilateral ABCD, the diagonals AC and BD intersect at E. If ∠ AEC = 120° and ∠ BED = 30°, what is the measure of ∠ ADB? ...
• In 2023, if all teams worked together to complete a project that requires 500 total worker-days, how many days would they take to complete the project?
• A can complete a work in 30 days, B in 24 days, and C in 20 days. A, B, and C work together for 5 days, after which B and C leave. How many more days will ...
• Two pipes A and B can fill a tank in 15 hours and 20 hours, respectively. Another pipe C can empty the tank in 30 hours. If all three pipes are opened toge...
• In a class, the ratio of boys to girls is 5:3. If 4 boys and 2 girls leave the class, the ratio of boys to girls becomes 3:2. How many students were there ...
• A circle is inscribed in a triangle ABC with sides 12 cm, 16 cm, and 20 cm. What is the radius of the circle? 
• A shopkeeper marks up the price of an article by 50% and offers two successive discounts of 20% and 15% and gain ₹80, then find the cost price of the art...
• A person travels from city A to city B at 60 km/h and returns at 40 km/h. If the total time taken for the round trip is 6 hours, find the distance between ...
• What is the average production of Bananas and Grapes together for the entire period from 2018 to 2022?
• A and B together can complete a task in 12 days. B alone can complete it in 20 days. How long will it take A to complete the task if he works alone?
• Two alloys are made by mixing copper and zinc in the ratio of 3:2 and 5:3, respectively. If equal quantities of the alloys are melted to form a third alloy...