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Question 1
What is the time complexity of quicksort in the average case?
Solution
The average case time complexity of quicksort is O(n log n).
Question 2
What is the capital of France?
Solution
The capital of France is Paris.
Question 3
What is Newton's second law of motion?
Solution
Newton's second law of motion states that Force = mass × acceleration (F = ma).
This means that the force acting on an object is directly proportional to the mass of the object and its acceleration.
Question 4
How do you calculate the area of a circle?
Solution
The area of a circle is given by the formula:
A = πr²
Where:
Question 5
Solve for x in the equation 2x + 5 = 13.
Solution
Step 1: Subtract 5 from both sides:
2x + 5 - 5 = 13 - 5
2x = 8
Step 2: Divide both sides by 2:
2x/2 = 8/2
x = 4
Question 6
What is the process of photosynthesis?
Solution
Photosynthesis is the process by which plants convert light energy from the sun into chemical energy stored in glucose.
This process takes place primarily in the chloroplasts of plant cells.
The overall chemical equation for photosynthesis is:
6CO2 + 6H2O + light energy → C6H12O6 + 6O2
Here, carbon dioxide and water are used to produce glucose and oxygen.
Question 7
Solve for y in the equation 3y - 4 = 11.
Solution
Step 1: Add 4 to both sides:
3y - 4 + 4 = 11 + 4
3y = 15
Step 2: Divide by 3:
y = 15 / 3
y = 5
Question 8
Who wrote 'To Kill a Mockingbird'?
Solution
Harper Lee wrote 'To Kill a Mockingbird', which was first published in 1960. It is a novel set in the American South during the 1930s and deals with themes of racial injustice, moral growth, and compassion.
Question 9
What is the Pythagorean theorem?
Solution
The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the other two sides (a and b):
a² + b² = c²
Question 10
What is the chemical symbol for gold?
Solution
The chemical symbol for gold is Au, which comes from the Latin word for gold, 'Aurum'.
Question 11
What is the formula for calculating speed?
Solution
Speed is calculated using the formula:
Speed = Distance / Time
Question 12
Solve for z in the equation 5z + 2 = 27.
Solution
Step 1: Subtract 2 from both sides:
5z + 2 - 2 = 27 - 2
5z = 25
Step 2: Divide by 5:
z = 5
Question 13
Who discovered penicillin?
Solution
Alexander Fleming discovered penicillin in 1928. Penicillin is a group of antibiotics that revolutionized the treatment of bacterial infections.
Question 14
What is the main ingredient in steel?
Solution
The main ingredient in steel is iron, but steel is made stronger and more resistant to corrosion by adding carbon and other elements like chromium and nickel.
Question 15
What is the capital of Japan?
Solution
The capital of Japan is Tokyo, one of the world's most populous and technologically advanced cities.
Question 16
What is the boiling point of water at sea level?
Solution
Water boils at 100°C or 212°F at sea level under normal atmospheric pressure (1 atm).
At higher altitudes, the boiling point of water decreases due to lower atmospheric pressure.
Question 17
Explain the water cycle.
Solution
The water cycle involves the continuous movement of water on, above, and below the surface of the Earth. The main stages are:
Question 18
What is the quadratic formula?
Solution
The quadratic formula is used to find the solutions of a quadratic equation. It is:
x = [-b ± √(b² - 4ac)] / 2a
Where a, b, and c are coefficients of the quadratic equation ax² + bx + c = 0.
Question 19
What is the chemical symbol for sodium?
Solution
The chemical symbol for sodium is Na, which comes from the Latin word 'Natrium'.
Question 20
What is the atomic number of carbon?
Solution
The atomic number of carbon is 6, which means a carbon atom has 6 protons in its nucleus.
Question 21
Who developed the theory of relativity?
Solution
Albert Einstein developed the theory of relativity, which revolutionized our understanding of space, time, and gravity. The theory includes:
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