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Q. A cone has a radius of 5 cm and a height of 12 cm. What is its volume?

A. 78.54 cm³
B. 94.25 cm³
C. 100.00 cm³
D. 120.00 cm³

Solution

Volume = (1/3)πr²h = (1/3)π(5)²(12) = 100π/3 ≈ 104.72 cm³

Correct Answer: B — 94.25 cm³

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Q. A conservation area is home to 300 species of plants. If 20% of these species are endangered, how many endangered species are there?

A. 60
B. 50
C. 70
D. 80

Solution

20% of 300 is 60, so there are 60 endangered species.

Correct Answer: A — 60

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Q. A conservation program aims to increase the population of an endangered species from 300 to 600 in 5 years. What is the required annual growth rate?

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

Solution

To double the population in 5 years, the annual growth rate must be approximately 25%.

Correct Answer: D — 25%

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Q. A conservation program aims to increase the population of an endangered species by 25% each year. If the current population is 400, what will be the population after 2 years?

A. 500
B. 600
C. 625
D. 700

Solution

After 1 year: 400 + (25% of 400) = 500; After 2 years: 500 + (25% of 500) = 625.

Correct Answer: C — 625

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Q. A conservation program costs $200,000 to implement and is expected to save 500 endangered species. What is the cost per species saved?

A. $200
B. $300
C. $400
D. $500

Solution

$200,000 / 500 species = $400 per species.

Correct Answer: A — $200

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Q. A consumer buys 5 kg of rice for $15. What is the price per kg?

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

Solution

Price per kg = Total price / Total kg = 15 / 5 = $3

Correct Answer: B — $3

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Q. A consumer buys 5 kg of rice for $20. What is the price per kg?

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

Solution

Price per kg = Total price / Total kg = 20 / 5 = $4

Correct Answer: A — $2

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Q. A container has 80 liters of a solution that is 25% salt. How much salt is in the container?

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

Solution

Salt in the solution = 25% of 80L = 0.25 * 80 = 20L.

Correct Answer: A — 10 liters

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Q. A container has a mixture of 60 liters of juice and water in the ratio 2:3. How much juice is in the container?

A. 24 liters
B. 36 liters
C. 30 liters
D. 18 liters

Solution

In a 2:3 ratio, total parts = 2 + 3 = 5. Juice = (2/5) * 60 = 24 liters.

Correct Answer: B — 36 liters

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Q. A container has a mixture of two liquids in the ratio 7:3. If 20 liters of the mixture is removed, what is the new ratio if the remaining mixture is 50 liters?

A. 7:3
B. 6:4
C. 5:5
D. 8:2

Solution

Initial volume = 50 + 20 = 70 liters. A = (7/10) * 70 = 49 liters, B = 21 liters. New ratio = 49:21 = 7:3.

Correct Answer: A — 7:3

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Q. A contest awards 1st place with 10 points, 2nd place with 5 points, and 3rd place with 2 points. If a participant finishes 2nd and 3rd in two different rounds, how many points does the participant earn?

A. 7
B. 10
C. 5
D. 12

Solution

Points earned = 5 (2nd place) + 2 (3rd place) = 7 points.

Correct Answer: A — 7

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Q. A contest awards 3 prizes of $200, $300, and $500. If the total prize money is distributed equally among 5 winners, how much does each winner receive?

A. $200
B. $100
C. $150
D. $250

Solution

Total prize money = 200 + 300 + 500 = 1000. Each winner receives = 1000 / 5 = 200.

Correct Answer: C — $150

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Q. A contest awards 4 prizes of $250 each. If the total cost of the prizes is $1000, how much is each prize?

A. $200
B. $250
C. $300
D. $400

Solution

Each prize = $1000 / 4 = $250.

Correct Answer: B — $250

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Q. A contest awards 4 prizes of $300 each and 2 prizes of $500 each. What is the total amount awarded?

A. $2200
B. $2400
C. $2600
D. $2800

Solution

Total amount = (4 * 300) + (2 * 500) = 1200 + 1000 = $2200.

Correct Answer: B — $2400

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Q. A contest has 5 winners. If the first prize is $500, the second prize is $300, and the third prize is $200, what is the total amount awarded if the last two prizes are $100 each?

A. $1000
B. $1100
C. $1200
D. $1300

Solution

Total awarded = $500 + $300 + $200 + $100 + $100 = $1200.

Correct Answer: B — $1100

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Q. A country has an inflation rate of 3%. If a product costs $200 now, what will be its cost after one year?

A. $206
B. $210
C. $203
D. $200

Solution

Cost after inflation = 200 * (1 + 0.03) = 200 * 1.03 = $206.

Correct Answer: A — $206

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Q. A country's GDP is $2.5 trillion and its population is 250 million. What is the GDP per capita?

A. $10,000
B. $12,500
C. $15,000
D. $20,000

Solution

GDP per capita = 2.5 trillion / 250 million = 10,000.

Correct Answer: B — $12,500

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Q. A country’s GDP is $500 billion and its population is 10 million. What is the GDP per capita?

A. $50,000
B. $5,000
C. $500
D. $5,000,000

Solution

GDP per capita = GDP / Population = 500 billion / 10 million = $50,000.

Correct Answer: B — $5,000

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Q. A country’s GDP is $500 billion and the population is 10 million. What is the GDP per capita?

A. $50,000
B. $5,000
C. $500
D. $5,000,000

Solution

GDP per capita = GDP / Population = 500 billion / 10 million = $50,000.

Correct Answer: B — $5,000

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Q. A cube has a side length of 4 cm. What is its surface area?

A. 16 cm²
B. 32 cm²
C. 64 cm²
D. 48 cm²

Solution

Surface Area = 6a² = 6(4)² = 96 cm²

Correct Answer: C — 64 cm²

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Q. A cyclist covers 15 km in 30 minutes. What is the speed in km/h? (2023)

A. 20 km/h
B. 25 km/h
C. 30 km/h
D. 35 km/h

Solution

Speed = Distance/Time = 15 km/(30/60) h = 30 km/h

Correct Answer: B — 25 km/h

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Q. A cyclist covers a distance of 30 km in 1.5 hours. What is the speed of the cyclist in km/h?

A. 20 km/h
B. 25 km/h
C. 30 km/h
D. 35 km/h

Solution

Speed = Distance / Time = 30 km / 1.5 h = 20 km/h.

Correct Answer: B — 25 km/h

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Q. A cyclist covers a distance of 30 km in 2 hours. What is his speed in km/h?

A. 10 km/h
B. 12 km/h
C. 15 km/h
D. 18 km/h

Solution

Speed = Distance / Time = 30 km / 2 h = 15 km/h.

Correct Answer: B — 12 km/h

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Q. A cyclist covers a distance of 45 km in 1.5 hours. What is the cyclist's speed in km/h?

A. 25 km/h
B. 30 km/h
C. 35 km/h
D. 40 km/h

Solution

Speed = Distance / Time = 45 km / 1.5 hours = 30 km/h.

Correct Answer: B — 30 km/h

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Q. A cyclist covers a distance of 45 km in 1.5 hours. What is the speed of the cyclist?

A. 25 km/h
B. 30 km/h
C. 35 km/h
D. 40 km/h

Solution

Speed = Distance / Time = 45 km / 1.5 hours = 30 km/h.

Correct Answer: B — 30 km/h

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Q. A cyclist covers a distance of 90 km at a speed of 15 km/h. How long does the journey take?

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

Solution

Time = Distance / Speed = 90 km / 15 km/h = 6 hours.

Correct Answer: B — 5 hours

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Q. A cyclist covers a distance of 90 km in 4.5 hours. What is the average speed of the cyclist? (2020)

A. 15 km/h
B. 20 km/h
C. 25 km/h
D. 30 km/h

Solution

Average Speed = Total Distance / Total Time = 90 km / 4.5 h = 20 km/h

Correct Answer: C — 25 km/h

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Q. A cyclist travels 15 km in 30 minutes. What is their speed in km/h?

A. 20 km/h
B. 25 km/h
C. 30 km/h
D. 35 km/h

Solution

Speed = Distance / Time = 15 km / 0.5 h = 30 km/h.

Correct Answer: B — 25 km/h

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Q. A cyclist travels 30 km in 2 hours. What is the average speed in m/s?

A. 4.17 m/s
B. 5 m/s
C. 6 m/s
D. 7.5 m/s

Solution

Average speed = Total distance / Total time = 30 km / 2 h = (30 * 1000 m) / (2 * 3600 s) = 4.17 m/s.

Correct Answer: A — 4.17 m/s

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Q. A cyclist travels at a speed of 12 km/h. How long will it take to cover 48 km?

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

Solution

Time = Distance / Speed = 48 km / 12 km/h = 4 hours.

Correct Answer: C — 4 hours

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