Practice Quant Miscellaneous Questions and Answers

• 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...
• What is the total number of packages delivered in February across all regions, and what percentage does it contribute to the total packages delivered in Ma...
• A parallelogram has diagonals of lengths 24 cm and 18 cm. The angle between the diagonals is 60°. Find the area of the parallelogram.
• A man invests ₹20,000 in a scheme that offers a 10% simple interest per annum. After how many years will his total amount become ₹30,000?
• A bag contains 5 red and 3 green balls. Two balls are drawn at random. Find the probability that both balls are red.
• A can complete a task in 24 days, B can complete the same task in 18 days, and C can complete it in 12 days. A and B work together for 4 days, and then C t...
• A shopkeeper marks an article 50% above the cost price and then gives two successive discounts of 20% and 10%. What is his overall profit or loss percentag...
• A hexagonal prism has a base edge of 6 cm and a height of 10 cm. Find its volume and lateral surface area.
• If the total students in E are 30% more than total students in A and the total teachers in E are 40% more than total teachers in C, then find the total tea...
• A train travels at 72 km/h and crosses a platform of length 150 meters in 30 seconds. Find the length of the train.
• A sum of ₹20,000 is invested at an annual rate of interest of 10%. Calculate the difference between simple interest and compound interest after 3 years. ...
• A and B start a business with investments of ₹50,000 and ₹40,000, respectively. After 6 months, C joins with an investment of ₹60,000. At the end of ...
• A vessel contains 80 liters of milk. 16 liters of milk are taken out and replaced with water. This process is repeated once more time. Find the quantity of...
• A cylindrical water tank has a height of 12 meters and a radius of 3 meters. How many liters of water can the tank hold? (Use π = 3.14 and 1 cubic meter =...
• Find the volume of a frustum of a cone with a height of 9 cm, the radius of the upper base as 4 cm, and the radius of the lower base as 6 cm. (Use π = 3.1...
• A spherical balloon is being inflated such that its radius is increasing at a rate of 2 cm per second. After 5 seconds, find the volume of the balloon. (Us...
• A circle has a radius of 15 cm, and a chord subtends a central angle of 60° at the center. Find the area of the segment formed by the chord.
• In an election, 75% of the voters cast their votes. A candidate received 60% of the total votes cast and won by a majority of 300 votes. Find the total num...
• If sin A + cos A = 1, what is the value of tan A?
• The radius of a circle is 14 cm, and the angle subtended by a sector at the center of the circle is 120°. Find the area of the sector.
• A tangent to a circle of radius 5 cm is drawn from a point 13 cm away from the center of the circle. Find the length of the tangent.