Practice Quant Miscellaneous Questions and Answers

• Durgesh can complete a task alone in 21 days. If Vikash works alone for 8 days and then leaves, Durgesh can finish the remaining work in 7 days. Satish is ...
• The compound interest earned on an investment of Rs. 'Y' over 2 years at an annual compound interest rate of 12%, compounded yearly, amounts to Rs. 1,272. ...
• Four years ago, the ratio of Ratnesh's age to Shivam's age was 7:5. After 'x' years, the average age of Jivan, Ratnesh, and Shivam will be (x + 22). Jivan�...
• Vessel A contains a mixture of Apple and Orange juice in the ratio of 7:5, while Vessel B contains a mixture of Orange and Grapes juice in the ratio of 4:5...
• If sinθ + cosθ = 2a and tanθ + cotθ = b, then find a in terms of b.
• The slope of a line passing through points (-2, 3) and (4, -1) is:
• A cone has a slant height of 20 cm and the radius of its base is 15 cm. Find the volume of the cone
• A cylindrical tank with height 14 m and diameter 6 m is 3/5th full. Find the volume of water in the tank.
• A father is currently 3 times as old as his son. In 10 years, the father’s age will be twice that of his son. What are their present ages?
• The surface area of a sphere is 154 cm². Find its volume.
• What is the average annual production of Crop C over the five years?
• A merchant mixes two varieties of rice, one costing ₹55 per kg and the other costing ₹80 per kg, and sells the mixture at ₹75 per kg, making a profit...
• If the roots of the equation x² + 5x + k = 0 are real and equal, find the value of k.
• A shopkeeper marks up the price of an article by 40% on its cost price. He then offers a discount of 10% on the marked price. If the shopkeeper still makes...
• If the ratio of boys to girls in a class is 3:4 and the total number of students is 56, how many boys are there?
• If a product's price increases by 25% and then decreases by 20%, what is the net percentage change in price?
• Find the equation of the line passing through the point (3, 4) and having a slope of 2.
• A square and a rectangle have the same perimeter. The side of the square is 14 cm, and the length of the rectangle is 18 cm. Find the breadth of the rectan...
• The sum of the interior angles of a polygon with n sides is 1800°. Find the value of n.
• In a right-angled triangle, one angle is 60°. If the hypotenuse is 12 cm, find the length of the side opposite the 60° angle.
• If a + b + c = 0, find the value of a³ + b³  + c³ .
• A car travels 120 km at a speed of 40 km/h and returns at a speed of 60 km/h. Find the average speed of the car for the whole journey.
• A sum of ₹25000 is invested in two parts, one at 8% and the other at 10%. The total interest earned after a year is ₹2300. How much was invested at eac...
• The sum of the ages of a father and his son is 50 years. Five years ago, the father's age was four times that of his son. What are their current ages? ...
• A rectangular box has dimensions 6 cm, 8 cm, and 10 cm. Find the diagonal of the box.
• The centroid of a triangle is located at the point (2, 4). If one vertex is at (0, 0) and another at (4, 0), find the coordinates of the third vertex.
• What is the total number of female employees across all departments?
• C is 50% more efficient than D. Together, they can finish a task in 12 days. How many days will D alone take to complete the task?
• In triangle ABC, if angle A = 30°, angle B = 60°, and side a = 10 cm, find side b.
• What is the amount allocated for Transportation and Entertainment combined?
• A vehicle travels 100 km at a speed of 50 km/h and 200 km at a speed of 75 km/h. What is the average speed for the entire trip?
• A trader marks up the price of an article by 50% above the cost price. He then offers a discount of 20% on the marked price. What is his profit percentage ...
• The sum of two numbers is 20 and their product is 96. Find the numbers.
• A sum of money doubles itself in 5 years at simple interest. In how many years will it become 5 times itself at the same rate of interest?
• A man observes the top of a tower at an angle of elevation of 45°. He walks 50 meters towards the tower, and the angle of elevation becomes 60°. What is ...
• What is the total number of cars sold by Dealership S in the given five months?
• In a triangle ABC, the internal bisector of ∠ A meets side BC at D. If AB = 6 cm, AC = 9 cm, and BC = 12 cm, what is the length of BD? 
• A shopkeeper sells an article at 20% profit. If the cost price of the article is increased by 25% and the shopkeeper sells the article at the same selling ...
• Find the minimum value of sec x + cosec x:
• A shopkeeper marks his goods 50% above the cost price but allows his customers a discount of 20% on the marked price. What is his actual profit if selling ...