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Practice Quant Miscellaneous Questions and Answers

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 ...
The sides of a triangle are 9 cm, 12 cm, and 15 cm. What is the area of the largest circle that can be inscribed in this triangle?
If the sales of Product C increase by 50% and the sales of Product D decrease by 20%, what will be the new total sales of all products combined?
In a circle, two tangents PA and PB are drawn from an external point P such that the angle ∠ APB = 60°. If the radius of the circle is 10 cm, find the l...
In a triangle ABC, the sides are AB = 15 cm, BC = 20 cm, and AC = 25 cm. Find the area of the triangle using Heron’s formula.
If sin(3θ) = cos(2θ), find θ.
A square pyramid has a base side of 8 cm and a height of 15 cm. Find the total surface area of the pyramid.
A person buys 2 items for ₹300 each. He sells one at a profit of 10% and the other at a loss of 10%. What is the overall gain or loss percentage?
A car travels 60 km at a speed of 40 km/h and another 90 km at a speed of 60 km/h. What is the average speed of the car for the entire journey?
What is the total number of work hours reported by employees in the Sales department?
A boat can travel upstream at 12 km/h and downstream at 18 km/h. What is the speed of the boat in still water?
A and B can do a work together in 10 days. B and C can do the same work in 15 days, how many days will B take to complete the work if A, B and C together c...
In a cyclic quadrilateral ABCD, where AB = 7 cm, BC = 8 cm, CD = 9 cm, and DA = 10 cm, find the length of the diagonal AC if the angle between AB and DA is...
A trader sells two articles for ₹450 each. He makes a profit of 20% on the first and a loss of 10% on the second. What is his overall profit or loss perc...
The sum of the ages of a father and his son is 50 years. After 5 years, the father's age will be twice that of his son. What are their present ages?
A cylindrical tank has a radius of 4 meters and a height of 6 meters. Calculate the total surface area of the tank.

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