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A metal sphere of radius 7.35 cm is melted and cast into a cylinder of height 12 cm. Find the curved surface area of the cylinder....
In a 1000 metres race, 'P' beats 'Q' by 150 metres, while 'Q' beats 'R' by 100 metres. Find the distance by which 'P' beats 'R' in the same race....
In an election between two candidates, the winning candidate secured 25% more votes than the losing candidate. If the winner received 125 more votes than t...
A car covers a distance of 760 kilometres in 9.5 hours. Determine the speed of the car.
A merchant faces a loss of 18% when selling a product for Rs. 656.20. Determine the cost price of the product.
Solve the equation: sin x = 1/2, 0 ≤ x ≤ 2π
The following table shows the monthly rainfall in a city for the first six months of the year: What is the percentage increase in rainfall from January ...
A car travels 300 km at a speed of 60 km/h and another 200 km at a speed of 80 km/h. Find the approximate average speed of the car for the entire journey.
A ladder leaning against a wall makes an angle of 60° with the ground. If the ladder is 10 meters long, how high up the wall does it reach?
A sphere has a volume of 288π cubic units. What is the diameter of the sphere?
The vertices of a triangle are (2, 1), (5, 4), and (8, 1). What is the area of the triangle?
A car travels from city A to city B at a speed of 60 miles per hour and returns to city A at a speed of 40 miles per hour. If the total round trip takes 5 ...
A shopkeeper marks a product at 20% above the cost price. He then offers a discount of 15% on the marked price. If he still makes a profit of ₹200, what ...
A container has a mixture of two liquids, A and B, in the ratio of 5:3. If 16 liters of the mixture are removed and replaced with 16 liters of liquid B, th...
A merchant has two types of sugar. Type A costs 50 per kg, and Type B costs 70 per kg. In what ratio should the two types be mixed to get a mixture that co...
The average score of 24 students in a class is 78. If the top 4 scores are removed, the new average score of the remaining students drops by 2 points, what...
A principal of ₹5000 is invested at a simple interest rate of 8% per annum. What will be the interest earned after 3 years?
A principal of ₹8000 is invested at a compound interest rate of 10% per annum. What will be the amount after 2 years?
A and B start a business together. A invests ₹20,000 for 6 months, and B invests ₹30,000 for 8 months. If the total profit is ₹6000, how much does A ...
A sphere is inscribed in a cylinder. The radius of the cylinder is 7 cm. What is the volume of the sphere?
A cyclist rides at a constant speed of 12 miles per hour for the first half of a journey. For the second half, the cyclist increases the speed to 18 miles ...
A circle with radius 8 cm is inscribed in a square. What is the area of the square?
What will come in place of ? 4, 5, 13, 40, 104, ?.
50 men takes 10 less days to do a work than 30 men takes time for same work. Find in how many days 15 men can complete the 2/5th of the work?
In a school, Boys are 60% of total students. 50% Boys students failed. Total 55% of students in school fail. employees in the company are working for more ...
The following table shows the number of cars sold by a dealership in the first six months of the year. What was the average number of cars sold per mon...
The radius of a cylinder is 3 cm and its height is 10 cm. What is its total surface area?
A shopkeeper buys 100 apples at ₹5 each. 10 apples get spoiled. He sells the remaining apples at ₹6 each. What is his overall profit or loss percentage...
Find the distance between the points (2, 5) and (7, 1).
A fruit seller sells apples at a profit of 20% and oranges at a loss of 10%. If the ratio of apples to oranges sold is 3:2 and the overall profit is rupees...
The salary of A is 25% more than B, and the salary of B is 20% less than C. If C’s salary is Rs.5000, what is A’s salary?
The simple interest on a sum of money for 3 years is 1,200 at a rate of 10% per annum. What is the compound interest on the same sum for the same time and ...
Quantity I: The time taken by a bike to cross a tunnel and a bridge is 36 seconds and 30 seconds, respectively. If the length of the tunnel exceeds the len...
Quantity I: A shopkeeper bought an article for Rs. 3000 and marked its price up by 50%. He then gave two successive discounts of 10% and ‘x’%, making a...
Quantity I: A can complete a task in 15 days, while B can do it in 12 days. A worked alone for the first 5 days and then left. B and C together finished th...
A number series is given below. A second series is created using the incorrect numbers from the first series, following the same pattern as in Series I. De...
Series I: 16 21 36 81 209 621 1836 Series II: 20 60 240 1200 7200 43200 403200 In series II, if ‘x’ is the wrong term, then find which of the ...
I. 3x2 – 15x + 18 = 0 II. 2y2 – 40y + 198 = 0
I. x2 + 31x + 238 = 0 II. 2y2 + 70y + 612 = 0
I. 3x² - 15x + 18 = 0 II. 2y² - 8y + 6 = 0
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