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Q. If a bill is passed in the Lok Sabha with a vote of 400 to 145, what percentage of members voted in favor? (2022)

A. 70%
B. 75%
C. 80%
D. 85%

Solution

Total votes = 400 + 145 = 545. Percentage in favor = (400/545) * 100 ≈ 73.39%, approximately 75%.

Correct Answer: B — 75%

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Q. If a bill requires a simple majority to pass and there are 200 members present, how many votes are needed to pass the bill? (2019)

A. 100
B. 101
C. 102
D. 110

Solution

Simple majority = (200/2) + 1 = 101.

Correct Answer: B — 101

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Q. If a bill requires a simple majority to pass in the Lok Sabha, how many votes are needed if there are 543 members present? (2023)

A. 272
B. 271
C. 275
D. 300

Solution

Simple majority = (543/2) + 1 = 272.5, rounded to 273.

Correct Answer: A — 272

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Q. If a body is moving with a uniform acceleration of 2 m/s², what will be its velocity after 5 seconds if it starts from rest? (2023)

A. 5 m/s
B. 10 m/s
C. 15 m/s
D. 20 m/s

Solution

Using the formula v = u + at, where u = 0, a = 2 m/s², t = 5 s. v = 0 + (2 × 5) = 10 m/s.

Correct Answer: B — 10 m/s

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Q. If a book costs Rs. 150 and is on a 20% discount, what is the sale price? (2023)

A. 120
B. 130
C. 140
D. 150

Solution

Discount = 20% of 150 = 150 * 20 / 100 = 30. Sale price = 150 - 30 = 120.

Correct Answer: A — 120

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Q. If a book costs Rs. 150 and is on sale for 20% off, what is the sale price? (2022)

A. 120
B. 130
C. 140
D. 150

Solution

Discount = 20% of 150 = 30. Sale price = 150 - 30 = 120.

Correct Answer: A — 120

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Q. If a book costs Rs. 250 and is on sale for 20% off, what is the sale price? (2023)

A. 200
B. 220
C. 180
D. 250

Solution

Discount = 20% of 250 = 50. Sale price = 250 - 50 = 200.

Correct Answer: A — 200

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Q. If a car accelerates from rest at a rate of 2 m/s², what will be its speed after 5 seconds? (2023)

A. 5 m/s
B. 10 m/s
C. 15 m/s
D. 20 m/s

Solution

Speed = Initial speed + (Acceleration × Time) = 0 + (2 m/s² × 5 s) = 10 m/s.

Correct Answer: B — 10 m/s

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Q. If a car accelerates uniformly from rest to a speed of 25 m/s in 10 seconds, what is the distance covered during this time? (2023)

A. 125 m
B. 150 m
C. 200 m
D. 250 m

Solution

Distance = ut + (1/2)at². Here, u = 0, a = (25-0)/10 = 2.5 m/s². Distance = 0 + (1/2)(2.5)(10²) = 125 m.

Correct Answer: A — 125 m

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Q. If a car accelerates uniformly from rest to a speed of 72 km/h in 10 seconds, what is its acceleration? (2023)

A. 2 m/s²
B. 3 m/s²
C. 4 m/s²
D. 5 m/s²

Solution

Acceleration = (Final Speed - Initial Speed) / Time = (20 m/s - 0) / 10 s = 2 m/s².

Correct Answer: A — 2 m/s²

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Q. If a car does 2000 J of work in moving a distance of 50 m, what is the average force exerted? (2023)

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

Solution

Average Force = Work / Distance = 2000 J / 50 m = 40 N

Correct Answer: A — 40 N

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Q. If a car does 2000 J of work in moving a distance of 50 m, what is the average force exerted by the car? (2000)

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

Solution

Average Force (F) = Work done (W) / Distance (d) = 2000 J / 50 m = 40 N.

Correct Answer: A — 40 N

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Q. If a car does 3000 J of work in moving a distance of 150 m, what is the average force exerted by the car? (2023)

A. 20 N
B. 30 N
C. 40 N
D. 50 N

Solution

Average Force = Work / Distance = 3000 J / 150 m = 20 N

Correct Answer: B — 30 N

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Q. If a car does 600 J of work in moving a distance of 30 m, what is the average force exerted by the car? (2023)

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

Solution

Average Force (F) = Work (W) / Distance (d) = 600 J / 30 m = 20 N.

Correct Answer: A — 20 N

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Q. If a car does 6000 J of work in moving a distance of 100 m, what is the average force exerted by the car? (2023)

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

Solution

Average Force = Work / Distance = 6000 J / 100 m = 60 N

Correct Answer: A — 60 N

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Q. If a car travels 60 km in 1 hour, how far will it travel in 2.5 hours at the same speed? (2019)

A. 150 km
B. 120 km
C. 180 km
D. 100 km

Solution

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

Correct Answer: A — 150 km

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Q. If a car travels 60 km in 1 hour, how long will it take to travel 180 km at the same speed? (2019)

A. 2 hours
B. 3 hours
C. 4 hours
D. 1.5 hours

Solution

Time = Distance/Speed = 180 km / 60 km/h = 3 hours.

Correct Answer: B — 3 hours

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Q. If a car travels 60 km in 1 hour, what is its speed in m/s?

A. 10 m/s
B. 15 m/s
C. 20 m/s
D. 25 m/s

Solution

Speed in m/s = (distance in km * 1000) / (time in hours * 3600). Here, speed = (60 * 1000) / (1 * 3600) = 16.67 m/s, which rounds to 20 m/s.

Correct Answer: C — 20 m/s

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Q. If a car travels 60 km in 1 hour, what is its speed in meters per second?

A. 16.67 m/s
B. 20 m/s
C. 25 m/s
D. 30 m/s

Solution

Speed in m/s = (60 km * 1000 m/km) / (3600 s) = 16.67 m/s.

Correct Answer: A — 16.67 m/s

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Q. If a car travels at a speed of 80 km/h, how long will it take to travel 160 km?

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

Solution

Time = distance/speed = 160 km / 80 km/h = 2 hours.

Correct Answer: B — 2 hours

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Q. If a certain disease affects 1 in every 1000 people, what is the expected number of cases in a population of 50,000? (2020)

A. 50
B. 100
C. 200
D. 500

Solution

Expected cases = (1/1000) * 50000 = 50 cases.

Correct Answer: B — 100

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Q. If a certain disease has a basic reproduction number (R0) of 3, how many people can one infected person potentially infect in a population without immunity? (2023)

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

Solution

If R0 = 3, one infected person can potentially infect 3 other people in a population without immunity.

Correct Answer: C — 3

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Q. If a certain state has 10% of its representatives in the Lok Sabha as women and there are 20 representatives from that state, how many women representatives are there? (2020)

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

Solution

10% of 20 = 0.1 * 20 = 2 women representatives.

Correct Answer: B — 2

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Q. If a circle has a radius of 7 cm, what is its circumference?

A. 14π cm
B. 21π cm
C. 28π cm
D. 49π cm

Solution

The circumference of a circle is given by 2πr. Here, r = 7 cm, so circumference = 2π * 7 = 14π cm.

Correct Answer: B — 21π cm

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Q. If a circle has a radius of 7 cm, what is its circumference? (Use π ≈ 3.14)

A. 21.98 cm
B. 43.96 cm
C. 14 cm
D. 28 cm

Solution

Circumference = 2 * π * radius = 2 * 3.14 * 7 ≈ 43.96 cm.

Correct Answer: B — 43.96 cm

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Q. If a circle has a radius of 7 units, what is its area?

A. 154
B. 144
C. 100
D. 50

Solution

Area = π * r^2 = π * 7^2 = 154 (using π ≈ 22/7).

Correct Answer: A — 154

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Q. If a circuit has a resistance of 5 ohms and a current of 2 amperes, what is the voltage across the circuit?

A. 10 V
B. 5 V
C. 2 V
D. 1 V

Solution

Using Ohm's Law (V = I * R), V = 2 A * 5 Ω = 10 V.

Correct Answer: A — 10 V

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Q. If a college awards a scholarship of $1500 to the top 10% of students, and there are 200 students in total, how many students will receive the scholarship? (2023)

A. 15
B. 20
C. 25
D. 30

Solution

Number of students receiving scholarship = 10% of 200 = 20 students.

Correct Answer: B — 20

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Q. If a concave lens has a power of -5 D, what is its focal length? (2021)

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

Solution

Power P = 1/f, thus f = 1/P = 1/(-5) = -0.2 m = -20 cm.

Correct Answer: B — -25 cm

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Q. If a country aims to reduce its carbon emissions by 20% each year, what will be the emissions after 2 years if the current emissions are 1,000 tons?

A. 640 tons
B. 800 tons
C. 600 tons
D. 720 tons

Solution

Emissions after 2 years = 1,000 * (1 - 0.20)^2 = 1,000 * 0.64 = 640 tons.

Correct Answer: A — 640 tons

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