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Practice Quant Miscellaneous Questions and Answers

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 ...
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?

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