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English General Knowledge Mathematics

Q. A tennis player serves the ball at a speed of 180 km/h. How many meters per second is this? (2022)

A. 50
B. 45
C. 60
D. 40

Solution

To convert km/h to m/s, divide by 3.6. 180 km/h ÷ 3.6 = 50 m/s.

Correct Answer: B — 45

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Q. A tennis player serves the ball at a speed of 180 km/h. What is the speed in meters per second? (2022)

A. 50 m/s
B. 45 m/s
C. 40 m/s
D. 60 m/s

Solution

Speed in m/s = 180 km/h × (1000 m / 1 km) × (1 h / 3600 s) = 50 m/s.

Correct Answer: B — 45 m/s

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Q. A tennis player serves the ball at a speed of 180 km/h. What is this speed in meters per second? (2023)

A. 50 m/s
B. 45 m/s
C. 40 m/s
D. 60 m/s

Solution

To convert km/h to m/s, divide by 3.6. Speed in m/s = 180 km/h ÷ 3.6 = 50 m/s.

Correct Answer: B — 45 m/s

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Q. A tennis player wins 75% of the matches he plays. If he plays 40 matches, how many matches does he win? (2023)

A. 30
B. 25
C. 35
D. 20

Solution

Matches won = 75% of 40 = 0.75 × 40 = 30 matches.

Correct Answer: A — 30

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Q. A tennis player won 12 matches out of 20 played. What is his winning percentage? (2023)

A. 60%
B. 50%
C. 70%
D. 40%

Solution

Winning percentage = (12/20) * 100 = 60%.

Correct Answer: A — 60%

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Q. A tennis player won 60% of his matches. If he played 50 matches, how many matches did he win? (2023)

A. 30
B. 25
C. 35
D. 40

Solution

Number of matches won = 60% of 50 = 0.6 * 50 = 30.

Correct Answer: A — 30

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Q. A tennis player won 80% of his matches. If he played 50 matches, how many matches did he lose? (2023)

A. 10
B. 20
C. 30
D. 40

Solution

Matches won = 80% of 50 = 40. Matches lost = 50 - 40 = 10.

Correct Answer: A — 10

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Q. A thermometer reads 25.0 °C with an uncertainty of ±0.5 °C. What is the range of possible true values?

A. 24.5 °C to 25.5 °C
B. 24.0 °C to 25.0 °C
C. 25.0 °C to 26.0 °C
D. 25.5 °C to 26.5 °C

Solution

The range of possible true values is from 25.0 - 0.5 to 25.0 + 0.5, which is 24.5 °C to 25.5 °C.

Correct Answer: A — 24.5 °C to 25.5 °C

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Q. A tower is 120 meters high. From a point on the ground, the angle of elevation to the top of the tower is 45 degrees. How far is the point from the base of the tower? (2020)

A. 60 m
B. 120 m
C. 90 m
D. 30 m

Solution

Distance = Height / tan(45) = 120 / 1 = 120 m.

Correct Answer: B — 120 m

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Q. A tower is 60 m high. From a point on the ground, the angle of elevation to the top of the tower is 60 degrees. How far is the point from the base of the tower? (2023)

A. 30 m
B. 40 m
C. 50 m
D. 60 m

Solution

Distance = height / tan(angle) = 60 / tan(60) = 60 / √3 ≈ 30 m.

Correct Answer: A — 30 m

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Q. A trade agreement between two countries is expected to increase trade by 25%. If the current trade volume is $200 million, what will be the new trade volume?

A. $220 million
B. $250 million
C. $275 million
D. $300 million

Solution

New trade volume = $200 million + (25% of $200 million) = $200 million + $50 million = $250 million.

Correct Answer: B — $250 million

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Q. A trade agreement was signed between 4 countries. If each country can trade with every other country, how many unique trade pairs can be formed? (2020)

A. 4
B. 6
C. 8
D. 12

Solution

Unique trade pairs = C(4, 2) = 4! / (2!(4-2)!) = 6.

Correct Answer: B — 6

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Q. A trade agreement was signed between 8 countries. If each country can form a partnership with every other country, how many unique partnerships can be formed?

A. 28
B. 56
C. 36
D. 64

Solution

Number of unique partnerships = C(8, 2) = 8! / (2!(8-2)!) = 28.

Correct Answer: A — 28

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Q. A train covers a distance of 300 km in 4 hours. What is its average speed? (2020)

A. 60 km/h
B. 70 km/h
C. 75 km/h
D. 80 km/h

Solution

Average speed = Total distance / Total time = 300 km / 4 hours = 75 km/h.

Correct Answer: A — 60 km/h

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Q. A train covers a distance of 300 km in 4 hours. What is its speed in km/h? (2020)

A. 70 km/h
B. 75 km/h
C. 80 km/h
D. 85 km/h

Solution

Speed = Distance / Time = 300 km / 4 hours = 75 km/h.

Correct Answer: C — 80 km/h

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Q. A train leaves a station and travels at a speed of 80 km/h. How far will it travel in 3 hours? (2022)

A. 200 km
B. 240 km
C. 260 km
D. 300 km

Solution

Distance = Speed × Time = 80 km/h × 3 h = 240 km.

Correct Answer: B — 240 km

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Q. A train leaves a station and travels at a speed of 90 km/h. How long will it take to cover 270 km? (2022)

A. 2 hours
B. 3 hours
C. 4 hours
D. 5 hours

Solution

Time = Distance / Speed = 270 km / 90 km/h = 3 hours.

Correct Answer: B — 3 hours

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Q. A train leaves a station at 2 PM traveling at 80 km/h. If it travels for 3 hours, at what time will it arrive at the next station? (2022)

A. 4 PM
B. 5 PM
C. 6 PM
D. 7 PM

Solution

Departure time = 2 PM, travel time = 3 hours. Arrival time = 2 PM + 3 hours = 5 PM.

Correct Answer: C — 6 PM

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Q. A train travels 120 km at a speed of 60 km/h and then 180 km at 90 km/h. What is the average speed for the entire journey? (2019)

A. 72 km/h
B. 75 km/h
C. 80 km/h
D. 85 km/h

Solution

Total time = (120/60) + (180/90) = 2 + 2 = 4 hours. Total distance = 120 + 180 = 300 km. Average speed = Total distance / Total time = 300/4 = 75 km/h.

Correct Answer: C — 80 km/h

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Q. A train travels 150 km at a speed of 75 km/h. How long does it take to complete the journey? (2020)

A. 1.5 hours
B. 2 hours
C. 2.5 hours
D. 3 hours

Solution

Time = Distance / Speed = 150 km / 75 km/h = 2 hours.

Correct Answer: A — 1.5 hours

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Q. A train travels 60 km at a speed of 30 km/h and then 90 km at a speed of 60 km/h. What is the average speed of the train for the entire journey? (2021)

A. 40 km/h
B. 45 km/h
C. 50 km/h
D. 55 km/h

Solution

Total distance = 60 + 90 = 150 km. Time for first part = 60/30 = 2 hours. Time for second part = 90/60 = 1.5 hours. Total time = 2 + 1.5 = 3.5 hours. Average speed = Total distance / Total time = 150 / 3.5 = 42.86 km/h, which rounds to 45 km/h.

Correct Answer: B — 45 km/h

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Q. A train travels 60 km at a speed of 30 km/h and then travels another 60 km at a speed of 60 km/h. What is the average speed of the train for the entire journey? (2020)

A. 40 km/h
B. 45 km/h
C. 50 km/h
D. 55 km/h

Solution

Total distance = 120 km. Time for first part = 60/30 = 2 hours. Time for second part = 60/60 = 1 hour. Total time = 3 hours. Average speed = Total distance / Total time = 120/3 = 40 km/h.

Correct Answer: B — 45 km/h

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Q. A train travels 60 km in 1 hour. How far will it travel in 2.5 hours at the same speed? (2019)

A. 120 km
B. 150 km
C. 180 km
D. 200 km

Solution

Distance = Speed × Time. Therefore, distance = 60 km/h × 2.5 h = 150 km.

Correct Answer: B — 150 km

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Q. A train travels 60 km in 1 hour. How far will it travel in 2.5 hours? (2019)

A. 120 km
B. 150 km
C. 180 km
D. 200 km

Solution

Distance = Speed × Time. Therefore, distance = 60 km/h × 2.5 h = 150 km.

Correct Answer: B — 150 km

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Q. A train travels at a speed of 60 km/h. How far will it travel in 2.5 hours? (2022)

A. 120 km
B. 150 km
C. 180 km
D. 200 km

Solution

Distance = Speed × Time = 60 km/h × 2.5 h = 150 km.

Correct Answer: B — 150 km

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Q. A train travels at a speed of 80 km/h. How long will it take to cover a distance of 240 km?

A. 2 hours
B. 3 hours
C. 4 hours
D. 5 hours

Solution

Time = Distance / Speed = 240 km / 80 km/h = 3 hours.

Correct Answer: B — 3 hours

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Q. A train travels at a speed of 90 km/h. How far will it travel in 2.5 hours? (2019)

A. 200 km
B. 225 km
C. 250 km
D. 300 km

Solution

Distance = Speed * Time = 90 km/h * 2.5 h = 225 km.

Correct Answer: B — 225 km

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Q. A train travels at a speed of 90 km/h. How long will it take to cover 270 km? (2020)

A. 2 hours
B. 3 hours
C. 4 hours
D. 5 hours

Solution

Time = Distance / Speed = 270 km / 90 km/h = 3 hours.

Correct Answer: B — 3 hours

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Q. A train travels at a speed of 90 km/h. How long will it take to cover 450 km? (2019)

A. 4 hours
B. 5 hours
C. 6 hours
D. 7 hours

Solution

Time = Distance / Speed = 450 km / 90 km/h = 5 hours.

Correct Answer: C — 6 hours

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Q. A train travels at a speed of 90 km/h. How long will it take to cover a distance of 270 km? (2021)

A. 2.5 hours
B. 3 hours
C. 3.5 hours
D. 4 hours

Solution

Time = Distance / Speed = 270 km / 90 km/h = 3 hours.

Correct Answer: B — 3 hours

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