NDA Exam Preparation Resources | Soulshift Education

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English General Knowledge Mathematics

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 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 = 60 km/h × 2.5 h = 150 km.

Correct Answer: B — 150 km

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Q. If a car travels 60 km in 1 hour, how far will it travel in 3 hours at the same speed? (2020)

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

Solution

Distance = speed × time. Thus, distance = 60 km/h × 3 h = 180 km.

Correct Answer: B — 180 km

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Q. If a car travels 60 km in 1 hour, how far will it travel in 3 hours?

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

Solution

Distance = speed × time = 60 km/h × 3 h = 180 km.

Correct Answer: B — 180 km

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Q. If a car travels 60 km in 1 hour, how far will it travel in 3.5 hours? (2022)

A. 180 km
B. 200 km
C. 210 km
D. 220 km

Solution

Distance = speed × time = 60 km/h × 3.5 h = 210 km.

Correct Answer: C — 210 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 cover 200 km? (2019)

A. 2.5 hours
B. 3 hours
C. 2 hours
D. 4 hours

Solution

Time = Distance / Speed = 200 km / 80 km/h = 2.5 hours.

Correct Answer: A — 2.5 hours

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Q. If a car travels at a speed of 80 km/h, how long will it take to cover 240 km? (2019)

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: C — 4 hours

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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 = 22/7)

A. 44 cm
B. 22 cm
C. 14 cm
D. 28 cm

Solution

Circumference = 2πr = 2 × (22/7) × 7 = 44 cm.

Correct Answer: A — 44 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 circle has an area of 50π cm², what is its diameter? (2020)

A. 10 cm
B. 20 cm
C. 5 cm
D. 15 cm

Solution

Area = πr², so r² = 50. Thus, r = √50 = 5√2 cm. Diameter = 2r = 10√2 cm ≈ 14.14 cm.

Correct Answer: A — 10 cm

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Q. If a circle's radius is doubled, how does its area change? (2020)

A. It remains the same
B. It doubles
C. It triples
D. It quadruples

Solution

Area = πr². If radius is doubled (2r), new area = π(2r)² = 4πr², which is quadruple the original area.

Correct Answer: D — It quadruples

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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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Q. If a country contributes 10% of its GDP to international aid and its GDP is $1 trillion, how much does it contribute?

A. $50 billion
B. $100 billion
C. $150 billion
D. $200 billion

Solution

Contribution = 10% of $1 trillion = 0.1 * $1 trillion = $100 billion.

Correct Answer: B — $100 billion

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Q. If a country contributes 15% of its GDP to international aid and its GDP is $2 trillion, how much does it contribute? (2019)

A. $200 billion
B. $250 billion
C. $300 billion
D. $350 billion

Solution

Contribution = 15% of $2 trillion = 0.15 * 2 trillion = $300 billion.

Correct Answer: C — $300 billion

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Q. If a country has a GDP growth rate of 5% and its current GDP is $2 trillion, what will be the GDP after one year?

A. $2.1 trillion
B. $2.05 trillion
C. $2.2 trillion
D. $2.15 trillion

Solution

GDP after one year = Current GDP * (1 + growth rate) = $2 trillion * 1.05 = $2.1 trillion.

Correct Answer: B — $2.05 trillion

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Q. If a country has a literacy rate of 85% and its population is 500 million, how many people are literate?

A. 400 million
B. 425 million
C. 450 million
D. 475 million

Solution

Number of literate people = 85% of 500 million = 0.85 * 500 million = 425 million.

Correct Answer: B — 425 million

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Q. If a country has a literacy rate of 85% and the total population is 1,000,000, how many people are literate? (2021)

A. 850,000
B. 900,000
C. 800,000
D. 750,000

Solution

Number of literate people = 1,000,000 * 0.85 = 850,000.

Correct Answer: A — 850,000

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Q. If a country has a population of 1.2 billion and 60% of the population is eligible to vote, how many people are eligible to vote?

A. 600 million
B. 720 million
C. 800 million
D. 900 million

Solution

60% of 1.2 billion = 0.6 * 1.2 billion = 720 million.

Correct Answer: B — 720 million

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