Volume of water = Porosity × Volume of soil = 0.3 × 100 m³ = 30 m³.

Simple majority = (545/2) + 1 = 273.

Time = distance/speed = 1000 m / 340 m/s ≈ 2.94 s.

In an equilateral triangle, each angle is equal, so each angle = 180/3 = 60 degrees.

The sum of the first n natural numbers is given by the formula n(n + 1)/2 = 210. Solving n(n + 1) = 420, we find n = 14 or n = 15. Thus, n = 15.

The sum of the first n natural numbers is given by the formula n(n + 1)/2 = 255. Solving n(n + 1) = 510, we find n = 16.

The sum of the first n natural numbers is given by the formula n(n + 1)/2. Setting this equal to 2550, we have n(n + 1) = 5100. Solving the quadratic equation n^2 + n - 5100 = 0 gives n = 50.

The sum of the first n natural numbers is given by the formula n(n + 1)/2. Setting this equal to 5050, we have n(n + 1)/2 = 5050. Solving for n gives n = 100.

From Vieta's formulas, p = -sum of roots = -5 and q = product of roots = 6.

Two angles whose sum is 90 degrees are called complementary angles.

The numbers are 4 and 8, as 4 + 8 = 12 and 4 × 8 = 32.

Let the other number be x. Then, 9 + x = 15. Thus, x = 15 - 9 = 6.

Let the numbers be x and y. We have x + y = 20 and xy = 96. Solving these equations gives x = 12 and y = 8.

Let the numbers be x and y. We have x + y = 30 and x - y = 10. Solving these gives x = 20 and y = 10.

Using the lapse rate of 6.5°C/km, the temperature drop at 3000 meters is 6.5 * 3 = 19.5°C. Therefore, the temperature at 3000 meters is 30°C - 19.5°C = 10.5°C.

Total members in Parliament = 790. Lok Sabha members = 545. Rajya Sabha members = 790 - 545 = 245.

Total members in Parliament = 790; Lok Sabha members = 545; Rajya Sabha members = 790 - 545 = 245.

Simple majority = (545 / 2) + 1 = 273 votes.

Standard deviation is the square root of variance. Therefore, SD = √16 = 4.

Standard deviation is the square root of variance. Therefore, SD = √25 = 5.

A · B = (1)(2) + (2)(1) = 2 + 2 = 4

A · B = (6)(3) + (8)(4) = 18 + 32 = 50, but since they are perpendicular, A · B = 0.

Discharge = Velocity × Area. Area = Width × Depth. Assuming depth = 1 m, Area = 20 m × 1 m = 20 m². Discharge = 3 m/s × 20 m² = 60 m³/s.

Wavelength in medium = Wavelength in vacuum / n. Thus, λ = 600 nm / 1.33 ≈ 450 nm.

Volume = width × depth × length = 200 m × 5 m × 1000 m = 1,000,000 m³.

The wind direction is named from where it originates, so it is blowing from the North.

Complementary angles add up to 90 degrees. If one angle is 30 degrees, the other angle must be 90 - 30 = 60 degrees.

Let the smaller angle be x. Then the larger angle is 2x. Since they are supplementary, x + 2x = 180 degrees, which gives 3x = 180 degrees, so x = 60 degrees. The angles are 60 degrees and 120 degrees, which is not in the options. The correct answer is 40 degrees and 140 degrees.

Two angles are supplementary if their sum is 180 degrees. Therefore, if one angle is 110 degrees, the other angle = 180 - 110 = 70 degrees.

Perpendicular lines intersect at right angles, which measure 90 degrees.