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Practice Quant Miscellaneous Questions and Answers

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...
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...

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