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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 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 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 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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Q. A train travels from station A to station B, a distance of 300 km, at a speed of 75 km/h. How long does the journey take? (2019)

A. 3 hours
B. 4 hours
C. 5 hours
D. 6 hours

Solution

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

Correct Answer: C — 5 hours

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Q. A trophy costs $150 and is awarded to the top three students in a competition. If the total cost of the trophies is $450, how many trophies were purchased? (2020)

A. 1
B. 2
C. 3
D. 4

Solution

Total cost of trophies = $450. Cost per trophy = $150. Number of trophies = 450 / 150 = 3.

Correct Answer: C — 3

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Q. A vaccine is 80% effective in preventing a disease. If 1000 people are vaccinated, how many are expected to still contract the disease? (2019)

A. 100
B. 200
C. 300
D. 400

Solution

If the vaccine is 80% effective, then 20% will still contract the disease. Therefore, expected cases = 20% of 1000 = 200.

Correct Answer: A — 100

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Q. A vehicle accelerates from rest at a rate of 2 m/s². How far does it travel in 10 seconds? (2020)

A. 50 m
B. 100 m
C. 150 m
D. 200 m

Solution

Using the formula s = ut + (1/2)at²; s = 0 + (1/2)(2)(10²) = 100 m.

Correct Answer: B — 100 m

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Q. A vehicle accelerates from rest to a speed of 36 m/s in 12 seconds. What is the distance covered during this time? (2023)

A. 108 m
B. 144 m
C. 180 m
D. 216 m

Solution

Using the formula s = ut + (1/2)at², where a = (v-u)/t = (36-0)/12 = 3 m/s², we find s = 0 + (1/2)(3)(12²) = 216 m.

Correct Answer: B — 144 m

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Q. A vehicle travels 100 km in 2 hours and then 50 km in 1 hour. What is its average speed for the entire trip? (2019)

A. 50 km/h
B. 60 km/h
C. 70 km/h
D. 75 km/h

Solution

Total distance = 100 km + 50 km = 150 km; Total time = 2 h + 1 h = 3 h. Average speed = Total distance / Total time = 150 km / 3 h = 50 km/h.

Correct Answer: C — 70 km/h

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Q. A weather station reports a wind speed of 15 m/s. What is this speed in km/h? (2019)

A. 54 km/h
B. 36 km/h
C. 72 km/h
D. 45 km/h

Solution

Wind speed in km/h = 15 m/s * 3.6 = 54 km/h.

Correct Answer: A — 54 km/h

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Q. An object is dropped from a height of 20 m. How long will it take to reach the ground? (Take g = 10 m/s²)

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

Solution

Using the formula h = (1/2)gt², we have 20 = (1/2)(10)t², thus t² = 4, t = 2 s.

Correct Answer: B — 4 s

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Q. An object is in free fall. What is its acceleration?

A. 0 m/s²
B. 9.8 m/s²
C. 10 m/s²
D. 5 m/s²

Solution

In free fall, the only force acting on the object is gravity, so its acceleration is approximately 9.8 m/s².

Correct Answer: B — 9.8 m/s²

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Q. An object is moving with a velocity of 10 m/s. What is its kinetic energy if its mass is 2 kg? (2022)

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

Solution

Kinetic Energy = (1/2)mv² = (1/2) × 2 kg × (10 m/s)² = 100 J

Correct Answer: B — 20 J

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Q. An object is placed 10 cm from a convex lens with a focal length of 5 cm. What is the nature of the image formed? (2022)

A. Real and inverted
B. Virtual and erect
C. Real and erect
D. Virtual and inverted

Solution

Since the object distance is less than the focal length, the image formed is virtual and erect.

Correct Answer: B — Virtual and erect

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Q. An object is placed 15 cm in front of a convex lens of focal length 10 cm. What is the position of the image formed? (2020)

A. 5 cm
B. 10 cm
C. 30 cm
D. 15 cm

Solution

Using the lens formula: 1/f = 1/v - 1/u, where f = 10 cm and u = -15 cm, we find v = 30 cm.

Correct Answer: C — 30 cm

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Q. An object is placed 30 cm in front of a convex lens of focal length 15 cm. What is the position of the image formed? (2020)

A. 10 cm
B. 15 cm
C. 20 cm
D. 25 cm

Solution

Using the lens formula 1/f = 1/v - 1/u, where u = -30 cm and f = 15 cm, we find v = 10 cm.

Correct Answer: D — 25 cm

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