Q. If a plastic bottle takes 450 years to decompose, how many years will it take for 10 bottles?
A.
450 years
B.
900 years
C.
4500 years
D.
45000 years
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Solution
Each bottle takes 450 years, so 10 bottles still take 450 years.
Correct Answer:
A
— 450 years
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Q. If a player has a 60% success rate in free throws and attempts 20 free throws, how many successful free throws can be expected?
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Solution
With a 60% success rate, the expected successful free throws are 0.6 * 20 = 12.
Correct Answer:
B
— 12
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Q. If a player has a batting average of 50 and has played 20 matches, how many runs has he scored in total? (2021)
A.
1000
B.
800
C.
600
D.
500
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Solution
Total runs scored = Batting average * Number of matches = 50 * 20 = 1000 runs.
Correct Answer:
A
— 1000
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Q. If a player has a batting average of 50 runs over 10 innings, how many total runs has the player scored? (2023)
A.
500
B.
450
C.
400
D.
550
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Solution
Total runs = batting average * number of innings = 50 * 10 = 500 runs.
Correct Answer:
A
— 500
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Q. If a player has a win-loss record of 10-2 in a season, what is their winning percentage?
A.
83.33%
B.
66.67%
C.
75%
D.
90%
Show solution
Solution
The winning percentage is calculated as (wins / total games) * 100. Here, (10 / (10 + 2)) * 100 = 83.33%.
Correct Answer:
A
— 83.33%
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Q. If a player has a win-loss record of 10-2 in a series of matches, what is their winning percentage?
A.
83.33%
B.
66.67%
C.
50%
D.
75%
Show solution
Solution
Winning percentage is calculated as wins/(wins + losses). Here, it is 10/(10+2) = 10/12 = 83.33%.
Correct Answer:
A
— 83.33%
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Q. If a player has a win-loss record of 8-2 in a season, what is their winning percentage?
A.
80%
B.
75%
C.
70%
D.
85%
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Solution
Winning percentage is calculated as Wins / Total Matches = 8 / (8 + 2) = 8 / 10 = 0.8 or 80%.
Correct Answer:
A
— 80%
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Q. If a player has a winning percentage of 75% in a series of games, how many games must they have won if they played 20 games?
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Solution
A winning percentage of 75% means the player won 75% of 20 games, which is 15 games.
Correct Answer:
A
— 15
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Q. If a player in a golf tournament has a score of 72, which is par for the course, what can be inferred about their performance?
A.
They played exceptionally well.
B.
They played below average.
C.
They played at an expected level.
D.
They played poorly.
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Solution
A score of par indicates that the player performed at the expected level for that course.
Correct Answer:
C
— They played at an expected level.
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Q. If a player is disqualified from a tournament for unsportsmanlike conduct, what is the most likely consequence?
A.
The player will receive a trophy.
B.
The player will be banned from future tournaments.
C.
The player will be awarded points.
D.
The player will be allowed to continue playing.
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Solution
Disqualification typically results in a ban from future participation in tournaments.
Correct Answer:
B
— The player will be banned from future tournaments.
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Q. If a player participates in 5 different tournaments and wins 2 of them, what is the ratio of tournaments won to tournaments participated in? (2023)
A.
2:5
B.
1:2
C.
1:5
D.
2:3
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Solution
The ratio of tournaments won to tournaments participated in is 2:5.
Correct Answer:
A
— 2:5
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Q. If a player runs 5 km in 25 minutes, what is his speed in km/h? (2022)
A.
10 km/h
B.
12 km/h
C.
15 km/h
D.
20 km/h
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Solution
Speed = Distance / Time = 5 km / (25/60) hours = 5 / (25/60) = 12 km/h.
Correct Answer:
A
— 10 km/h
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Q. If a player scores 10 points for a win and 5 points for a draw in a league, how many points does a player have after 3 wins and 2 draws?
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Solution
The player earns 10 points for each win (3 wins = 30 points) and 5 points for each draw (2 draws = 10 points), totaling 30 + 10 = 40 points.
Correct Answer:
B
— 30
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Q. If a player scores 10 points for a win and 5 points for a draw in a tournament, how many points does a player have if they won 3 matches and drew 2?
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Solution
Points = (Wins * 10) + (Draws * 5) = (3 * 10) + (2 * 5) = 30.
Correct Answer:
B
— 30
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Q. If a player scores 10 points for a win and 5 points for a draw in a tournament, how many points does a player have after 3 wins and 2 draws?
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Solution
The total points are calculated as (3 wins * 10 points) + (2 draws * 5 points) = 30 points.
Correct Answer:
B
— 30
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Q. If a player scores 3 points for a win, 1 point for a draw, and 0 points for a loss, how many points does a player have if they won 5 matches, drew 2, and lost 3?
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Solution
Points = (Wins * 3) + (Draws * 1) + (Losses * 0) = (5 * 3) + (2 * 1) + (3 * 0) = 15 + 2 + 0 = 17 points.
Correct Answer:
A
— 17
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Q. If a player scores 30 points in a game and the average score of the team is 25 points, what can be inferred about the player's performance?
A.
The player performed below average.
B.
The player performed above average.
C.
The player is the worst performer on the team.
D.
The player's score does not affect the team's average.
Show solution
Solution
Scoring 30 points indicates that the player performed above the team's average of 25 points.
Correct Answer:
B
— The player performed above average.
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Q. If a player scores 30 points in a game and the winning score is 50 points, what percentage of the winning score did the player achieve?
A.
60%
B.
50%
C.
70%
D.
40%
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Solution
To find the percentage, divide the player's score by the winning score and multiply by 100. (30/50) * 100 = 60%.
Correct Answer:
A
— 60%
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Q. If a point charge Q is placed at the center of a spherical Gaussian surface of radius R, what is the electric flux through the surface?
A.
0
B.
Q/ε₀
C.
Q/2ε₀
D.
Q/4ε₀
Show solution
Solution
The electric flux through a closed surface is given by Φ = Q_enc/ε₀. Here, Q_enc = Q, so Φ = Q/ε₀.
Correct Answer:
B
— Q/ε₀
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Q. If a point charge Q is placed at the center of a spherical Gaussian surface of radius R, what is the total electric flux through the surface?
A.
0
B.
Q/ε₀
C.
Q/4πε₀R²
D.
Q/4πε₀
Show solution
Solution
The total electric flux through the Gaussian surface is given by Φ = Q/ε₀, where Q is the charge enclosed.
Correct Answer:
B
— Q/ε₀
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Q. If a point charge Q is placed at the center of a spherical Gaussian surface, what is the total electric flux through the surface?
A.
0
B.
Q/ε₀
C.
Q/4πε₀
D.
4πQ/ε₀
Show solution
Solution
According to Gauss's law, the total electric flux through a closed surface is equal to the charge enclosed divided by ε₀, thus Φ = Q/ε₀.
Correct Answer:
B
— Q/ε₀
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Q. If a political party needs 50% of the total seats in the Lok Sabha to form a government, how many seats does it need if there are 545 total seats?
A.
272
B.
273
C.
274
D.
275
Show solution
Solution
Seats needed = (545/2) + 1 = 273 seats.
Correct Answer:
B
— 273
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Q. If a polygon has 10 sides, what is the measure of each interior angle in a regular decagon? (2023)
A.
144 degrees
B.
120 degrees
C.
108 degrees
D.
135 degrees
Show solution
Solution
The measure of each interior angle in a regular polygon is given by the formula [(n-2) * 180] / n. For a decagon (n=10), it is [(10-2) * 180] / 10 = 144 degrees.
Correct Answer:
A
— 144 degrees
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Q. If a polygon has 10 sides, what is the measure of each interior angle in a regular polygon? (2023)
A.
144 degrees
B.
156 degrees
C.
180 degrees
D.
120 degrees
Show solution
Solution
The measure of each interior angle in a regular polygon can be calculated using the formula [(n-2) * 180] / n. For n=10, it is 144 degrees.
Correct Answer:
A
— 144 degrees
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Q. If a polygon has 12 sides, how many diagonals can be drawn from one vertex?
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Solution
The number of diagonals that can be drawn from one vertex of an n-sided polygon is given by (n-3). For a dodecagon (12-sided polygon), it is 12-3 = 9.
Correct Answer:
B
— 10
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Q. If a polygon has 12 sides, what is the measure of each exterior angle in a regular dodecagon?
A.
30 degrees
B.
36 degrees
C.
15 degrees
D.
45 degrees
Show solution
Solution
The measure of each exterior angle of a regular polygon can be calculated using the formula 360/n, where n is the number of sides. For a dodecagon (12 sides), it is 360/12 = 30 degrees.
Correct Answer:
B
— 36 degrees
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Q. If a polygon has 12 sides, what is the measure of each exterior angle in a regular polygon?
A.
30 degrees
B.
36 degrees
C.
60 degrees
D.
90 degrees
Show solution
Solution
The measure of each exterior angle of a regular polygon is calculated as 360/n, where n is the number of sides. For a dodecagon (12 sides), it is 360/12 = 30 degrees.
Correct Answer:
B
— 36 degrees
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Q. If a polygon has 8 sides, how many diagonals does it have?
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Solution
Using the formula n(n-3)/2, for an octagon (n=8), the number of diagonals is 8(8-3)/2 = 20.
Correct Answer:
A
— 20
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Q. If a polygon has 8 sides, what is the measure of each interior angle in a regular octagon?
A.
135 degrees
B.
120 degrees
C.
108 degrees
D.
150 degrees
Show solution
Solution
The measure of each interior angle of a regular polygon can be calculated using the formula [(n-2) * 180] / n. For an octagon (n=8), it is [(8-2) * 180] / 8 = 135 degrees.
Correct Answer:
C
— 108 degrees
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Q. If a polygon has 8 sides, what is the sum of its interior angles?
A.
720 degrees
B.
1080 degrees
C.
900 degrees
D.
1440 degrees
Show solution
Solution
The sum of the interior angles of an octagon (8-sided polygon) is calculated using the formula (n-2) * 180, which gives (8-2) * 180 = 1080 degrees.
Correct Answer:
B
— 1080 degrees
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