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.

Let the other number be x. Then, x + 20 = 50, so x = 50 - 20 = 30.

Height = Shadow length * tan(angle) = 10 m * tan(30°) = 10 m * (1/√3) ≈ 5 m.

Using the lapse rate of 6.5°C/km, the temperature drop at 1000 meters is 6.5°C. Therefore, 30°C - 6.5°C = 23.5°C, which rounds to 24.5°C.

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, which rounds to approximately 15.5°C.

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.

According to Charles's Law, volume is directly proportional to temperature at constant pressure. A 10°C increase will result in a 10% increase in volume.

The saturation vapor pressure increases by approximately 6.5 hPa for every 1°C increase in temperature.

Expenditure on salaries = 30% of 100 crores = 0.3 * 100 = 30 crores.

20% of 545 = 0.20 * 545 = 109. Therefore, the closest option is 110.

20% of 545 = 0.20 * 545 = 109 women.

Percentage of Scheduled Castes = (84/545) * 100 = 15.4%

Percentage of women members = (78/545) * 100 = 14.3%

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

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.

Elected members = 50% of 245 = 0.5 * 245 = 122.5, rounded to 122.

Filled seats = 50% of 245 = 122.5, so vacant seats = 245 - 123 = 122.

Total MLAs = 28 states * 10 MLAs/state = 280.

Valid votes = 60% of 1,000 = 0.6 * 1,000 = 600 valid votes.

55% of 1,000,000 = 0.55 * 1,000,000 = 550,000 votes.

Votes received = 40% of 10,000 = 0.4 * 10,000 = 4000

Votes received = 60% of 1000 = 0.60 * 1000 = 600.

Votes received by winning candidate = 45% of 1,000,000 = 0.45 * 1,000,000 = 450,000.

50% of 545 = 272.5, so at least 273 votes are needed to pass a motion.

Votes needed to pass a bill = 50% of 545 = 0.5 * 545 = 273.

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

Percentage Decrease = ((Old Rate - New Rate) / Old Rate) * 100 = ((8 - 6) / 8) * 100 = 25%.

Standard deviation = √16 = 4. If the minimum is 0, the maximum can be 4, thus range = 4 - 0 = 4.