Practice Quant Miscellaneous Questions and Answers

• Rs. 156 is to be shared among 40 students, if each girl receives Rs.4.50, and boy receive Rs.3.50. Find the ratio of number of boys and girls.
• 55-litres of paint is added to a mixture of paint and oil in the ratio 3:5. The ratio of paint and oil in the resulting mixture is 4:3. Find the total volu...
• A shopkeeper sells an item at a 10% loss. Had he sold it for 40 more, he would have gained 10%. Find the cost price of the item
• A certain number of men can complete a work in 50 days. If 10 more men are added, the work can be completed in 40 days. Find the original number of men.
• A pipe can fill a tank in 10 hours, while another pipe can empty it in 15 hours. If both pipes are opened simultaneously, in how many hours will the tank b...
• A train takes 3 hours to travel a certain distance at a speed of 60 km/h. If the speed is increased by 20 km/h, how long will it take to cover the same dis...
• A retailer buys two items at the same cost price. He sells one at a 25% profit and the other at a 20% loss. If the overall profit is rupees 15, find the co...
• Prove the identity: tan² θ + 1 = sec² θ
• The following table shows the monthly sales of a company for the first five months of the year: What is the average monthly sales for the five months?...
• The following table shows the marks obtained by five students in three subjects: What is the average marks obtained by all students in Mathematics?...
• In a cyclic quadrilateral ABCD, angle A = 70 degrees and angle B = 100 degrees. What is the measure of angle C?
• A regular hexagon has a side length of 6 units. What is the area of the hexagon?
• A car starts from point A and travels at a speed of 40 miles per hour. After 1 hour, a second car starts from point A and travels in the same direction at ...
• A container has 80 liters of pure milk. 20 liters of milk is removed and replaced with 20 liters of water. Then, 20 liters of the new mixture is removed an...
• A chemist has three solutions of acid and water. The first solution has 40 percent acid, the second has 60 percent acid, and the third has 80 percent acid....
• An amount of ₹10000 is invested in two parts at 8% and 6% per annum simple interest. If the total interest earned after 3 years is ₹2070, determine the...
• If sinθ = 3/5 and θ is an acute angle, find cos θ.
• A sum of Rs. 4,000 becomes Rs. 6,912 in 3 years at a certain rate of interest compounded annually. What is the rate of interest?
• The sum of two numbers is 3572. When the larger number is divided by the smaller number, the quotient is 119, and the remainder is 6. Find the larger numbe...
• Simplify the given expression: 6 × 6 ÷ 6 of 6 × 60% of 600
• The average height of a basketball team consisting of 18 players is 185 cm. If the height of the coach and the assistant coach is included, the average hei...
• A milk seller assures that he sells at cost price but delivers 900 ml of a mixture that contains 180 ml of water. What percentage profit does he make, know...
• Two workers, 'X' and 'Y', can complete a task on their own in 18 days and 30 days, respectively. If they work on alternate days, beginning with 'X', how ma...
• A metal sphere of radius 7.35 cm is melted and cast into a cylinder of height 12 cm. Find the curved surface area of the cylinder....
• In a 1000 metres race, 'P' beats 'Q' by 150 metres, while 'Q' beats 'R' by 100 metres. Find the distance by which 'P' beats 'R' in the same race....
• In an election between two candidates, the winning candidate secured 25% more votes than the losing candidate. If the winner received 125 more votes than t...
• A car covers a distance of 760 kilometres in 9.5 hours. Determine the speed of the car.
• A merchant faces a loss of 18% when selling a product for Rs. 656.20. Determine the cost price of the product.
• Solve the equation: sin x = 1/2, 0 ≤ x ≤ 2π
• The following table shows the monthly rainfall in a city for the first six months of the year: What is the percentage increase in rainfall from January ...
• A car travels 300 km at a speed of 60 km/h and another 200 km at a speed of 80 km/h. Find the approximate average speed of the car for the entire journey.
• A ladder leaning against a wall makes an angle of 60° with the ground. If the ladder is 10 meters long, how high up the wall does it reach?
• A sphere has a volume of 288π cubic units. What is the diameter of the sphere?
• The vertices of a triangle are (2, 1), (5, 4), and (8, 1). What is the area of the triangle?
• A car travels from city A to city B at a speed of 60 miles per hour and returns to city A at a speed of 40 miles per hour. If the total round trip takes 5 ...
• A shopkeeper marks a product at 20% above the cost price. He then offers a discount of 15% on the marked price. If he still makes a profit of ₹200, what ...
• A container has a mixture of two liquids, A and B, in the ratio of 5:3. If 16 liters of the mixture are removed and replaced with 16 liters of liquid B, th...
• A merchant has two types of sugar. Type A costs 50 per kg, and Type B costs 70 per kg. In what ratio should the two types be mixed to get a mixture that co...
• The average score of 24 students in a class is 78. If the top 4 scores are removed, the new average score of the remaining students drops by 2 points, what...
• A principal of ₹5000 is invested at a simple interest rate of 8% per annum. What will be the interest earned after 3 years?