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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 =...
The angle of elevation of the top of a building from a point on the ground is 60°. After walking 20 meters towards the building, the angle of elevation be...
In a right triangle, the sides are in the ratio 3:4:5. A circle is inscribed in the triangle. What is the area of the triangle covered by the circle?
A boat can travel at a speed of 15 km/h in still water. If the speed of the current is 3 km/h, how long will it take to travel 24 km upstream?
A person has a total of ₹5000 in the form of ₹10 and ₹5 notes. If the number of ₹10 notes is twice the number of ₹5 notes, how many notes of each...
A company earns ₹3000 from selling 200 units of a product. If the fixed cost is ₹1000 and the variable cost per unit is ₹5, what is the profit or los...
What is the total number of packages delivered in February across all regions, and what percentage does it contribute to the total packages delivered in Ma...
A parallelogram has diagonals of lengths 24 cm and 18 cm. The angle between the diagonals is 60°. Find the area of the parallelogram.
A man invests ₹20,000 in a scheme that offers a 10% simple interest per annum. After how many years will his total amount become ₹30,000?
A bag contains 5 red and 3 green balls. Two balls are drawn at random. Find the probability that both balls are red.
A can complete a task in 24 days, B can complete the same task in 18 days, and C can complete it in 12 days. A and B work together for 4 days, and then C t...
A shopkeeper marks an article 50% above the cost price and then gives two successive discounts of 20% and 10%. What is his overall profit or loss percentag...
A hexagonal prism has a base edge of 6 cm and a height of 10 cm. Find its volume and lateral surface area.
If the total students in E are 30% more than total students in A and the total teachers in E are 40% more than total teachers in C, then find the total tea...
A train travels at 72 km/h and crosses a platform of length 150 meters in 30 seconds. Find the length of the train.
A sum of ₹20,000 is invested at an annual rate of interest of 10%. Calculate the difference between simple interest and compound interest after 3 years. ...
A and B start a business with investments of ₹50,000 and ₹40,000, respectively. After 6 months, C joins with an investment of ₹60,000. At the end of ...
A vessel contains 80 liters of milk. 16 liters of milk are taken out and replaced with water. This process is repeated once more time. Find the quantity of...
A cylindrical water tank has a height of 12 meters and a radius of 3 meters. How many liters of water can the tank hold? (Use π = 3.14 and 1 cubic meter =...
Find the volume of a frustum of a cone with a height of 9 cm, the radius of the upper base as 4 cm, and the radius of the lower base as 6 cm. (Use π = 3.1...
A spherical balloon is being inflated such that its radius is increasing at a rate of 2 cm per second. After 5 seconds, find the volume of the balloon. (Us...
A circle has a radius of 15 cm, and a chord subtends a central angle of 60° at the center. Find the area of the segment formed by the chord.
In an election, 75% of the voters cast their votes. A candidate received 60% of the total votes cast and won by a majority of 300 votes. Find the total num...
If sin A + cos A = 1, what is the value of tan A?
The radius of a circle is 14 cm, and the angle subtended by a sector at the center of the circle is 120°. Find the area of the sector.
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