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Practice Quant Miscellaneous Questions and Answers

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.
In a triangle ABC, AB = AC. The length of the median from A to BC is 9 cm and the angle between the median and AB is 60°. Find the length of AB.
What is the total percentage increase in enrollment for the Science stream from Year 1 to Year 3?
A rectangular garden is 20 m long and 15 m wide. If a path of width 2 m is built around the garden, what is the area of the path?
A man standing on the top of a cliff observes a boat at an angle of depression of 45°. He then moves 30 meters further down the cliff, and the angle of de...
A regular hexagon is inscribed in a circle of radius 10 cm. Find the perimeter of the hexagon.
A factory produces two types of toys, A and B. The production cost of toy A is ₹15 and for toy B is ₹25. If the total selling price of 500 toys is ₹1...
A rectangle has a length that is 4 cm more than its width. If the perimeter of the rectangle is 32 cm, find the dimensions of the rectangle.
What is the total amount spent on Advertising and Training combined?
In a triangle ABC, AB = AC and the altitude from A to BC is 8 cm. If BC = 12 cm, find the area of the triangle.
A shopkeeper marks up his goods by 25% and gives a discount of 10% on the marked price. If the cost price of the goods is ₹800, find the selling price.
A and B together can complete a work in 12 days. B alone can complete the same work in 30 days. In how many days will A alone complete the work?
A boat can travel 30 km downstream in 2 hours and return upstream in 3 hours. What is the speed of the boat in still water?
Two poles are 30 meters and 50 meters high, and the distance between their bases is 20√3 meters. Find the angle of elevation of the top of the taller pol...
In a cyclic quadrilateral, the diagonals intersect at an angle of 60°. If the sides of the quadrilateral are 6 cm, 8 cm, 10 cm, and 12 cm, what is the are...
A number is increased by 20% and then decreased by 20%. What is the net effect on the number?
A company has 600 employees. It plans to increase its workforce by 15% in the next year. Additionally, due to a reorganization, 10% of the current employee...
A trader bought a bicycle for ₹12,000 and sold it at a profit of 25%. After a month, he offered a discount of 10% on the selling price to attract more cu...
An investor deposits ₹50,000 in a bank that offers a simple interest rate of 8% per annum. How much interest will the investor earn after 3 years, and wh...
If sec θ + tan θ = 5, then find the value of sin θ.
A frustum of a cone has a lower base radius of 5 cm, an upper base radius of 3 cm, and a height of 4 cm. What is the volume of the frustum?

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