Practice Quant Miscellaneous Questions and Answers

• If cos A = 4/5 and A is an acute angle, find the value of 3 tan A + 4 sec A.
• A company has two departments, A and B. Department A produces an average of 40 items per day. The production ratio of Department A to Department B is 4:5. ...
• A container has 80 liters of a mixture of milk and water, with 60% milk. If 10 liters of water are added, what will be the new percentage of milk in the mi...
• A man invested ₹12,000 in a business, and his partner invested ₹15,000. After 8 months, the first partner withdrew half of his investment. If the total...
• If 5 sin x - 12 cos x = 0, find the value of tan x.
• A cone has a base radius of 7 cm and a slant height of 25 cm. Find the total surface area of the cone.
• A tank is filled with 3 inlet pipes and 2 outlet pipes. Inlet pipes A, B, and C can fill the tank in 6 hours, 8 hours, and 12 hours, respectively. Outlets ...
• The average age of a group of 5 men is 30 years. If one man aged 35 leaves and a new person joins the group, raising the average age by 1 year, find the ag...
• A retailer offers a discount of 20% on a product. If the product’s marked price is ₹500 and the retailer still makes a profit of 12%, find the cost pri...
• Two trains are moving in opposite directions at speeds of 72 km/hr and 54 km/hr. If they cross each other in 15 seconds, find the length of the faster trai...
• A group of 30 students has an average score of 60 in an exam. If 5 more students join the group and their average score is 70, find the new average score o...
• A rectangular field has a length of 120 meters and a width of 80 meters. A pathway 2 meters wide is constructed along the inside edge of the field, all aro...
• A sum of money becomes ₹5,600 in 4 years and ₹6,400 in 8 years at simple interest. Find the rate of interest per annum.
• A car travels 60 km at a speed of 30 km/hr, then 90 km at a speed of 45 km/hr, and finally 80 km at a speed of 40 km/hr. Find the average speed of the car ...
• A man spends 35% of his income on food, 25% on rent, and the remaining amount on other expenses. If he saves ₹9,000, which is 20% of his income, find his...
• A bag contains coins of ₹1, ₹2, and ₹5 denominations in the ratio 3:2:1. If the total amount in the bag is ₹240, find the number of ₹2 coins.
• The ratio of ages of A and B is 4:3. If A is 5 years older than B, find the age of B.
• A mixture contains milk and water in the ratio 7:5. If 6 liters of water is added to the mixture, the ratio of milk to water becomes 7:6. Find the original...
• What is the total revenue generated from all products in January?
• A fruit seller sold 3/5 of his fruits in the first half and 1/2 of the remaining fruits in the second half. If he had 400 fruits at the beginning of the da...
• The profit earned by selling a shirt for ₹500 is equal to the loss incurred by selling it for ₹400. Find the cost price of the shirt.
• 315 people went to a park. The number of men is 25 more than the number of women and the number of adults is 15 more than the number of children. How many ...
• A man travels the first part of his journey at a speed of 40 km/h and the second part at a speed of 60 km/h. What is the average speed of the man?
• A circle has a radius of 21 cm, and a sector makes an angle of 60° at the center. Find the area of the sector and the length of the arc (use π = 22/7). ...
• A cyclist travels from point A to point B at a speed of 12 km/h and returns at a speed of 15 km/h. Calculate the average speed for the entire trip if the d...
• If a person invests ₹50,000 in a scheme offering a compound interest of 5% per annum, calculate the total amount he will have after 3 years. Assume the i...
• A family spends 40% of their monthly income on rent, 20% on groceries, and 15% on utilities. If they save ₹5,400 after these expenses, what is their tota...
• The diagonals of a rhombus are 16 cm and 12 cm. Find the area of the rhombus.
• Calculate the percentage increase in the total profit of all companies combined from 2020 to 2023.
• In a trapezium, the lengths of the two parallel sides are 24 cm and 18 cm, and the distance between them is 16 cm. Find the length of the midsegment (line ...
• A car travels a distance of 240 km in 4 hours. If it increases its speed by 20 km/h for the next 3 hours, how much distance will it cover in total?
• A water tank has a capacity of 500 liters. A tap fills the tank at a rate of 10 liters per minute, while another tap empties it at a rate of 5 liters per m...
• A trader marks the price of a product at ₹800 and allows a discount of 15%. If the trader also pays a tax of 5% on the discounted price, what is the tota...
• In a parallelogram, the base is 18 cm, and the height corresponding to the base is 10 cm. A perpendicular distance from the opposite vertex to the same bas...
• A rectangle has a perimeter of 60 cm, and the ratio of its length to its width is 3:2. Find the length of its diagonal.
• If the budget for Marketing and Operations is expected to increase by 20% and 15%, respectively, what will be the new total budget for these two department...
• If the price of a dozen eggs is ₹48, how much would 15 dozen eggs cost? Additionally, if the price increases by 25%, what will be the new cost of 15 doze...
• A person has ₹30,000 to invest in two different schemes. If he invests ₹15,000 in Scheme A at 8% simple interest and the remaining in Scheme B at 10% s...
• A vendor buys a box of fruits for ₹720 and sells them at a 25% profit. If he sells 60% of the fruits, what will be his profit on this transaction?
• If the ratio of the ages of A, B, and C is 2:3:5 and the sum of their ages is 50 years, what is the age of the youngest person?