Practice Quant Miscellaneous Questions and Answers

• What is the total amount allocated to Research and Development and Operations combined?
• If sin⁶  x + cos⁶  x = 7/8, find sin⁴  x + cos⁴  x:
• 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? 
• A person invested 6,000 in a bank at compound interest compounded annually. After 3 years, the sum became 7,986. What was the rate of interest?
• The ratio of two numbers is 3:5. If 9 is subtracted from both, the new ratio becomes 12:23. Determine the original numbers.
• A car covers a distance of 240 km at a speed of 60 km/h. It then covers another 180 km at a speed of 90 km/h. What is the average speed of the car for the ...
• 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.
• If cos θ = 3/5, find the value of sin 2θ:
• Two pipes A and B can fill a tank in 15 hours and 20 hours, respectively. If both pipes are opened together and then pipe A is closed after 5 hours, how lo...
• 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?
• A sum of rupees 5,000 is invested at 15% per annum compound interest for 1.5 years, compounded half-yearly. What will be the final amount?
• What is the percentage increase in the sales of Company R from 2018 to 2022?
• The sides of a triangle are 13 cm, 14 cm, and 15 cm. What is the radius of the circumcircle of this triangle? 
• A mixture of 60 liters contains milk and water in the ratio 7:5. How much milk should be added to make the ratio 3:1?
• A hemispherical bowl of inner radius 10 cm is filled with water. If the water is poured into a cylindrical container with a radius of 5 cm, what will be th...
• A father is three times as old as his son. Four years ago, he was five times as old as his son. What are their present ages?
• A can complete a work in 12 days, while B can complete it in 15 days. How many days will they take to finish the work together?
• A pipe can fill a tank in 6 hours, while another pipe can empty it in 8 hours. If both pipes are opened together, how long will it take to fill the tank?
• A cuboid has dimensions 12 cm × 8 cm × 6 cm. If a cylindrical hole of diameter 4 cm is drilled through the entire length of the cuboid, what is the volum...
• A person has ₹5000. He invests 40% of it in scheme A at 8% per annum and the remaining in scheme B at 10% per annum. What is the total interest earned at...
• The sum of the ages of A and B is 50 years. If A is 10 years older than B, what are their ages?
• A man travels 60 km at a speed of 30 km/h and then travels 90 km at a speed of 60 km/h. What is his average speed for the entire journey?
• 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):