Maths
Let x = √3 + √5 and y = √8 + √2. Which is greater?
The number of red, blue, and green marbles in a bag is in the ratio 3: 4: 6. If 20 red marbles, 15 blue marbles, and an unknown number of green marbles are added to the bag, the ratio of red, blue, and green marbles becomes 4: 5: 7. Determine the num...
Evaluate the continued fraction: x = 2 + 1/(3 + 1/(4 + 1/2))
A and B invest 40,000 and 60,000 respectively in a business. What is A's share in a profit of 50,000?
A and B contribute to a business investment in the ratio 3:5. They earn a profit of 64,000. A is a working partner and receives 10% of the profit extra. What is A's total share?
In a team of 75 employees, the average monthly sales per employee is 1.8 lakh. If 30 junior employees average 1.2 lakh each, what is the average monthly sales figure (in lakh) for the senior employees?
The price of petrol shot up by 5%. Before the hike, the price was Rs. 82 per litre. A man travels 3045 km every month and his car gives a mileage of 15 km per litre. What is the increase in the monthly expenditure (to the nearest Rs.) on the man's tr...
A company placed an order for 20 high-end laptops and some quantity of standard desktops. The price of a high-end laptop was 5 times that of a standard desktop. Due to a mistake, the number of laptops and desktops was interchanged in the delivery. Th...
Find the compound interest on 8,000 at 12% per annum for 3 years 4 months, compounded annually.
A candy shop owner buys three kinds of candies: red, blue, and green. Red candies are purchased at 3 for 15, blue candies at 4 for 18, and green candies at 5 for 22. He mixes them in the ratio 1: 1 : 2. He sells all the mixed candies at 2 for 10. Wha...
The ratio of boys to girls in a school is 7:5. If 20 more girls join the school, the new ratio of boys to girls becomes 7:6. What is the total number of students in the school initially?
A, B, and C are capable of completing a job in 30, 45, and 90 days, respectively. A works every day, while B and C join A every fifth day. How long will it take to finish the task?
A 100-litre solution contains acid and water in the ratio 3:2. Some quantity of this solution is removed and replaced with pure acid. If the final ratio of acid to water becomes 7:3, how many litres of solution were replaced?
The ratio of the efficiencies of two workers, P and Q, is 5: 2. If P can complete a project in 12 days, how many days will Q take to complete the same project alone?
A car starts from point P on a circular track and an SUV starts from point Q, which is 600 meters ahead of P in the direction of motion. The car's speed is 15 m/s, and the SUV's speed is 10 m/s. The circumference of the track is 1.5 km. How much dist...
A circular park having a radius of 14 m. If a 1.5 m wide path is built around it, what is the approximate area of the path?
What is 5π/4 radians in degrees?
The line y = -x + 4 passes through which of the following points?
What is the central angle of a sector with an arc length of 10 cm in a circle of radius 5 cm?
If tan(90° - A) = √3, what is sin A?
If x = √7, determine the value of x + 1/x.
Two triangles are similar with sides in the ratio 3:5. What is the ratio of their areas?
If x = √((2+√3)/(2-√3)) then determine the value of x² + x - 9?
The angles of a cyclic quadrilateral are in the ratio 1:2:3:4. What is the measure of the smallest angle?
If secA = 13/5 and A is acute, find sinA