Question
Pipe 'A' alone takes 30 minutes to fill half of the
tank. Pipe 'B' is twice as efficient as pipe 'A'. Find the percentage of the tank filled by both in 10 minutes.Solution
Full tank time = 30 × 2 = 60 minutes A’s efficiency = x units/min Tank capacity = 60x units B’s efficiency = 2x units/min Work in 10 minutes = (x + 2x) × 10 = 30x units Percentage = (30x / 60x) × 100 = 50%
129, 160, 224, ?, 459, 634
If tan(π/4 + θ) = 3, find tan(2θ):
If the homogeneous system of equations
x + y + z = 0
2x + 3y + 4z = 0
has a non-trivial solution, then the value of k is:
3x + 5y + kz = 0
A woman invested Rs. 75,000 at compound interest of 12% p.a. compounded annually for 1 year. If the interest had been compounded semi-annually, how much...
A car travels 60 km at a speed of 40 km/h and another 90 km at a speed of 60 km/h. What is the average speed of the car for the entire journey?
- Which of the following options represents a file extension used for image files?
- If a + b + c = 18, and a ³ + b ³ + c ³ - 3abc = 54, hen find the value of 5(ab + bc + ca).
13, 55, 111, 183, 273, ?Â
Find the value of: {(78/4) + (15/6)} ÷ 2 - 6
What does the "Word Count" feature in a word processing software typically provide?