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Practice Quant Miscellaneous Questions and Answers

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 ...
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?

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