Practice Quant Miscellaneous Questions and Answers

• 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...
• A hexagonal prism has a base edge of 4 cm and a height of 10 cm. What is the total surface area of the prism?
• If sin x + sin 2x = 1 and cos x + cos 2x = 0, find x.
• A sum of ₹10,000 is invested in two schemes A and B. Scheme A offers 10% per annum and scheme B offers 15% per annum. If the total interest earned after ...
• The length of a rectangle is increased by 20% and the width is decreased by 10%. What is the percentage change in the area of the rectangle?
• A man can complete a work in 12 days. He worked for 5 days and then left. If the remaining work is completed by another man who can complete it in 18 days,...
• A store originally sells a jacket for ₹2,500. During a sale, the store offers a discount of 20% on the jacket. After the sale, the store increases the pr...
• What is the total production of Product Y for the entire year, and what percentage does it contribute to the total production of all products in the last q...
• In a triangle ABC, the lengths of the medians from A, B, and C are 5 cm, 6 cm, and 7 cm, respectively. What is the area of the triangle? 
• A mixture contains 40 liters of milk and 10 liters of water. How much milk should be added to make the ratio of milk to water 5:1?
• A person spends 40% of his income on rent, 30% on food, and 20% on education. If he saves ₹2000, what is his total income?
• A car travels 120 km in 1 hour and then travels 80 km in 1.5 hours. What is the average speed of the car for the entire journey?
• A rectangular park is 120 m long and 80 m wide. A path of uniform width is constructed inside the park. If the area of the path is 3600 m², find the width...
• A car covers the first 40 km of a journey at 60 km/h and the next 60 km at 90 km/h. What is the average speed for the entire journey?
• What is the total amount allocated to Development and Customer Support combined?
• A triangle ABC is inscribed in a circle. The tangent at A meets the extended sides BC and AB at points P and Q, respectively. If ∠ACB = 30° and ∠BCA =...
• The angle of elevation of the top of a building from a point on the ground is 60°. After walking 20 meters towards the building, the angle of elevation be...
• In a right triangle, the sides are in the ratio 3:4:5. A circle is inscribed in the triangle. What is the area of the triangle covered by the circle? 
• A boat can travel at a speed of 15 km/h in still water. If the speed of the current is 3 km/h, how long will it take to travel 24 km upstream?
• A person has a total of ₹5000 in the form of ₹10 and ₹5 notes. If the number of ₹10 notes is twice the number of ₹5 notes, how many notes of each...
• A company earns ₹3000 from selling 200 units of a product. If the fixed cost is ₹1000 and the variable cost per unit is ₹5, what is the profit or los...