Practice Quant Miscellaneous Questions and Answers

• 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?
• A person borrows ₹5000 at 12% per annum simple interest. He repays ₹3200 at the end of 2 years. How much does he still owe after 2 years?
• Two pipes can fill a tank in 10 hours and 12 hours, respectively, while a third pipe can empty it in 20 hours. If all the three pipes are opened simultaneo...
• What is the total sales for Product B in all four quarters combined?
• A 60-liter solution contains 30% alcohol. How much pure alcohol must be added to make the solution 50% alcohol?
• A trader bought two articles for ₹2,000 and ₹3,000. He sold the first article at a profit of 20% and the second article at a loss of 10%. What is the o...