Practice Quant Miscellaneous Questions and Answers

• 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.
• 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.