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Practice Quant Miscellaneous Questions and Answers

In a triangle ABC, AB = AC. The length of the median from A to BC is 9 cm and the angle between the median and AB is 60°. Find the length of AB.
What is the total percentage increase in enrollment for the Science stream from Year 1 to Year 3?
A rectangular garden is 20 m long and 15 m wide. If a path of width 2 m is built around the garden, what is the area of the path?
A man standing on the top of a cliff observes a boat at an angle of depression of 45°. He then moves 30 meters further down the cliff, and the angle of de...
A regular hexagon is inscribed in a circle of radius 10 cm. Find the perimeter of the hexagon.
A factory produces two types of toys, A and B. The production cost of toy A is ₹15 and for toy B is ₹25. If the total selling price of 500 toys is ₹1...
A rectangle has a length that is 4 cm more than its width. If the perimeter of the rectangle is 32 cm, find the dimensions of the rectangle.
What is the total amount spent on Advertising and Training combined?
In a triangle ABC, AB = AC and the altitude from A to BC is 8 cm. If BC = 12 cm, find the area of the triangle.
A shopkeeper marks up his goods by 25% and gives a discount of 10% on the marked price. If the cost price of the goods is ₹800, find the selling price.
A and B together can complete a work in 12 days. B alone can complete the same work in 30 days. In how many days will A alone complete the work?
A boat can travel 30 km downstream in 2 hours and return upstream in 3 hours. What is the speed of the boat in still water?
Two poles are 30 meters and 50 meters high, and the distance between their bases is 20√3 meters. Find the angle of elevation of the top of the taller pol...
In a cyclic quadrilateral, the diagonals intersect at an angle of 60°. If the sides of the quadrilateral are 6 cm, 8 cm, 10 cm, and 12 cm, what is the are...
A number is increased by 20% and then decreased by 20%. What is the net effect on the number?
A company has 600 employees. It plans to increase its workforce by 15% in the next year. Additionally, due to a reorganization, 10% of the current employee...
A trader bought a bicycle for ₹12,000 and sold it at a profit of 25%. After a month, he offered a discount of 10% on the selling price to attract more cu...
An investor deposits ₹50,000 in a bank that offers a simple interest rate of 8% per annum. How much interest will the investor earn after 3 years, and wh...
If sec θ + tan θ = 5, then find the value of sin θ.
A frustum of a cone has a lower base radius of 5 cm, an upper base radius of 3 cm, and a height of 4 cm. What is the volume of the frustum?
A person borrows ₹5000 at 12% per annum simple interest. He repays ₹3200 at the end of 2 years. How much does he still owe after 2 years?
Two pipes can fill a tank in 10 hours and 12 hours, respectively, while a third pipe can empty it in 20 hours. If all the three pipes are opened simultaneo...
What is the total sales for Product B in all four quarters combined?
A 60-liter solution contains 30% alcohol. How much pure alcohol must be added to make the solution 50% alcohol?
A trader bought two articles for ₹2,000 and ₹3,000. He sold the first article at a profit of 20% and the second article at a loss of 10%. What is the o...
A hexagonal prism has a base edge of 4 cm and a height of 10 cm. What is the total surface area of the prism?
If sin x + sin 2x = 1 and cos x + cos 2x = 0, find x.
A sum of ₹10,000 is invested in two schemes A and B. Scheme A offers 10% per annum and scheme B offers 15% per annum. If the total interest earned after ...
The length of a rectangle is increased by 20% and the width is decreased by 10%. What is the percentage change in the area of the rectangle?
A man can complete a work in 12 days. He worked for 5 days and then left. If the remaining work is completed by another man who can complete it in 18 days,...
A store originally sells a jacket for ₹2,500. During a sale, the store offers a discount of 20% on the jacket. After the sale, the store increases the pr...
What is the total production of Product Y for the entire year, and what percentage does it contribute to the total production of all products in the last q...
In a triangle ABC, the lengths of the medians from A, B, and C are 5 cm, 6 cm, and 7 cm, respectively. What is the area of the triangle?
A mixture contains 40 liters of milk and 10 liters of water. How much milk should be added to make the ratio of milk to water 5:1?
A person spends 40% of his income on rent, 30% on food, and 20% on education. If he saves ₹2000, what is his total income?
A car travels 120 km in 1 hour and then travels 80 km in 1.5 hours. What is the average speed of the car for the entire journey?
A rectangular park is 120 m long and 80 m wide. A path of uniform width is constructed inside the park. If the area of the path is 3600 m², find the width...
A car covers the first 40 km of a journey at 60 km/h and the next 60 km at 90 km/h. What is the average speed for the entire journey?
What is the total amount allocated to Development and Customer Support combined?
A triangle ABC is inscribed in a circle. The tangent at A meets the extended sides BC and AB at points P and Q, respectively. If ∠ACB = 30° and ∠BCA =...

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