Practice Quant Miscellaneous Questions and Answers

• Person A and Person B can complete the work alone in 18 days and 24 days, respectively, and the efficiency of Person C is -----% greater than the efficienc...
• The ratio of the radii of cylinders A and B is 2:3, and the volume of cylinder B is 200% greater than that of cylinder A. Based on the information provided...
• X, Y, and Z entered into a partnership with initial investments of Rs. (M + 2500), Rs. 3M, and Rs. (4M - 20000), respectively. After 6 months, W joined the...
• Rohan, Arjun, and Kavita started a business by investing Rs. 3,000, Rs. 3,600, and Rs. 2,400, respectively. After 6 months, Arjun decreased his investment ...
• 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. ...
• Quantity I: Ravi invested Rs. 35,200 in a plan offering compound interest at an annual rate of 12.5%. Calculate the compound interest earned by Ravi afte...
• 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�...
• The cost price ratio of a steel chair to a wooden chair is 7:5. The shopkeeper sold the wooden chair for Rs. 1600, making a profit of 33(1/3)%. If he sells...
• A milkman has a 60-liter mixture of milk and water in the ratio of 7:5. He sells 'x' liters of the mixture and replaces it with the same amount of a new mi...
• 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...
• 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? 
• In a right triangle, the hypotenuse is 13 cm and one leg is 5 cm. What is the radius of the circle inscribed in the triangle? 
• Two tangents are drawn from an external point to a circle with radius 8 cm, and the distance between the external point and the center of the circle is 17 ...
• A product is sold at ₹720 after two successive discounts of 10% and 20%. Calculate the marked price of the product.
• The ages of P, Q, and R are in the ratio 2:3:5. After 5 years, the sum of their ages will be 75 years. What are their present ages?
• The sides of a triangle are 13 cm, 14 cm, and 15 cm. What is the radius of the circumcircle of this triangle? 
• A cone has a height of 12 cm and a base radius of 5 cm. A sphere with the same volume as the cone is constructed. What is the radius of the sphere?
• If sin x + cos x = 7/5, find sin⁴ x + cos⁴ x:
• A right circular cone has a base radius of 4 cm and a height of 9 cm. If a cylindrical hole of radius 2 cm is drilled through the axis of the cone, what is...
• Calculate the total percentage increase in employees from 2019 to 2023 for the entire company. 
• In a school, 40% of the students are boys, and the rest are girls. If 75% of the boys and 80% of the girls passed an exam, what percentage of the total stu...
• In a circle, two chords AB and CD intersect inside the circle at P. If AP = 4 cm, PB = 6 cm, CP = 5 cm, and PD = x cm, what is the value of x?
• The average of 20 numbers is 50. If two numbers, 40 and 60, are removed, what is the new average?
• A rectangular prism has dimensions 10 cm × 6 cm × 4 cm. If a cube of side 2 cm is removed from one of the corners, what is the volume of the remaining so...
• Find the general solution of cos 3x = 1/2:
• A trader marks up the price of an article by 50% and offers a discount of 20%. If the trader makes a profit of ₹150 on the article, what was its cost pri...
• A car covers a distance of 450 km at a constant speed. If the car’s speed had been 15 km/h faster, it would have taken 1 hour less to cover the same dist...
• A sum of money becomes ₹4600 after 3 years and ₹5400 after 5 years at simple interest. What is the principal amount?
• A shopkeeper mixes two varieties of tea, one costing ₹300 per kg and the other ₹450 per kg, in the ratio 5:3. He sells the mixture at ₹400 per kg. Fi...
• A and B invested ₹50,000 and ₹75,000, respectively, in a business. After 6 months, A withdrew ₹10,000, and B added ₹25,000. At the end of the year,...
• Two pipes A and B can fill a tank in 12 hours and 16 hours, respectively. A third pipe C can empty the tank in 24 hours. If all three pipes are opened toge...
• A triangular prism has a triangular base with a height of 6 cm and a base length of 8 cm. If the height of the prism is 10 cm, what is the volume of the pr...
• If tan(π/4 + θ) = 3, find tan(2θ):
• Two circles of radii 8 cm and 3 cm have their centers 15 cm apart. What is the length of the common internal tangent? 
• In 2023, Department D overspent by 10% of its allocated budget. What is the total expenditure of Department D after the overspending?
• A boat can travel 36 km upstream in 6 hours. The same boat can travel 63 km downstream in 3 hours. What is the speed of the boat in still water?
• A and B together can complete a task in 12 days. A alone can complete the task in 20 days. In how many days can B alone complete the task?
• The salaries of A and B are in the ratio 3:5. If the salary of A increases by 20% and the salary of B increases by 10%, the new sum of their salaries becom...
• A sum of money becomes ₹7800 after 3 years and ₹8500 after 4 years at simple interest. What is the principal amount?