Practice Quant Miscellaneous Questions and Answers

• 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...
• A triangle has sides 7 cm, 24 cm, and 25 cm. Determine the largest angle in the triangle.
• A company manufactures and sells two products, A and B. The cost of producing one unit of Product A is ₹50, and it is sold at a price of ₹70 per unit. ...
• A person deposits ₹12,000 in a bank offering a 5% interest rate compounded annually. After 2 years, how much interest will he have earned?
• If sec x - tan x = 1/3, find sec x + tan x:
• What is the percentage increase in the total number of products sold by all companies from 2020 to 2022?
• Solve the equation: 2x² - 8x + 6 = 0.
• A woman is 4 times as old as her daughter. In 8 years, the woman will be twice as old as her daughter. What are their current ages?
• If sin x + sin y = a and cos x + cos y = b, find sin(x + y):
• A and B can complete a piece of work in 12 days and 18 days, respectively. They start working together but A leaves after 6 days. How many more days will i...
• A cyclist travels at a speed of 20 km/h. After riding for 2 hours, he stops for 30 minutes and then continues to ride at a speed of 15 km/h for another 1.5...
• The ratio of the ages of A and B is 3:4. Five years later, the ratio of their ages will be 4:5. What are their present ages?
• From the top of a tower 60 meters high, the angle of depression of two points on the ground on opposite sides of the tower are 30° and 60°. Find the dist...
• A triangle has sides 7 cm, 24 cm, and 25 cm. A circle is inscribed in the triangle. What is the area of the triangle not covered by the circle?
• Find the area of the triangle formed by the points A(1, 2), B(4, 6), and C(5, 1).
• A man can row a boat in still water at a speed of 8 km/h. He rows downstream for 1 hour and then returns upstream. If the total time taken for the entire j...
• A cylindrical tank has a height of 12 m and a base radius of 5 m. If water is filled up to 8 m in the tank, what is the total surface area of the water's s...
• Find the equation of the line passing through the points P(2, 3) and Q(4, 7).
• Factor the polynomial: x³ - 6x² + 11x - 6.
• A square prism has a base side of 10 cm and a height of 15 cm. If a cone with the same base and height is removed from the prism, what is the volume of the...
• A solid cylinder has a radius of 3 cm and a height of 10 cm. If it is melted and recast into a cone with a base radius of 3 cm, what will be the height of ...