NDA Exam Preparation Resources | Soulshift Education

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English General Knowledge Mathematics

Q. If a person requires 2500 calories a day and they want to get 20% of their calories from protein, how many calories should come from protein? (2023)

A. 400 calories
B. 500 calories
C. 600 calories
D. 700 calories

Solution

20% of 2500 = 0.20 * 2500 = 500 calories.

Correct Answer: B — 500 calories

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Q. If a person requires 2500 calories a day and they want to lose weight, how many calories should they consume to lose 1 pound per week? (1 pound = 3500 calories) (2020)

A. 2000
B. 2200
C. 1800
D. 2400

Solution

To lose 1 pound per week, they need to reduce their intake by 500 calories/day. So, 2500 - 500 = 2000 calories.

Correct Answer: C — 1800

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Q. If a person runs 10 km in 40 minutes, what is his speed in km/h? (2021)

A. 12 km/h
B. 15 km/h
C. 18 km/h
D. 20 km/h

Solution

Speed = Distance / Time = 10 km / (40/60) hours = 10 / (2/3) = 15 km/h.

Correct Answer: B — 15 km/h

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Q. If a person runs 10 km in 40 minutes, what is his speed in m/s? (2021)

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

Solution

Speed in m/s = (10 km * 1000 m/km) / (40 min * 60 s/min) = 10000 m / 2400 s = 4.17 m/s.

Correct Answer: A — 4.17 m/s

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Q. If a person runs 10 km in 50 minutes, what is his speed in km/h? (2020)

A. 10 km/h
B. 12 km/h
C. 14 km/h
D. 15 km/h

Solution

Speed = Distance / Time = 10 km / (50/60) hours = 10 km / (5/6) hours = 12 km/h.

Correct Answer: B — 12 km/h

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Q. If a person standing 30 m away from a building observes the top of the building at an angle of elevation of 60 degrees, what is the height of the building? (2023)

A. 15 m
B. 25 m
C. 30 m
D. 51.96 m

Solution

Height = distance * tan(60) = 30 * √3 ≈ 30 * 1.732 = 51.96 m.

Correct Answer: D — 51.96 m

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Q. If a person travels from 30 degrees North to 30 degrees South, how many degrees of latitude have they crossed?

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

Solution

The total distance crossed is 30 + 30 = 60 degrees of latitude.

Correct Answer: B — 60 degrees

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Q. If a person travels from 30° N to 30° S latitude, how many degrees of latitude have they crossed? (2023)

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

Solution

The total distance crossed is 30° N to the Equator (30 degrees) and then to 30° S (another 30 degrees), totaling 60 degrees.

Correct Answer: B — 60 degrees

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Q. If a person travels from 60° West to 30° East, how many hours ahead or behind will they be? (2023)

A. 5 hours ahead
B. 6 hours ahead
C. 7 hours behind
D. 8 hours behind

Solution

The total change in longitude is 60 + 30 = 90 degrees. 90/15 = 6 hours ahead.

Correct Answer: B — 6 hours ahead

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Q. If a person walks 4 km in 50 minutes, what is his speed in km/h? (2022)

A. 4.8 km/h
B. 5 km/h
C. 5.2 km/h
D. 5.5 km/h

Solution

Speed = Distance / Time = 4 km / (50/60) hours = 4 / (5/6) = 4.8 km/h.

Correct Answer: B — 5 km/h

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Q. If a place is located at 120°W longitude, what is its time difference from GMT?

A. -8 hours
B. -7 hours
C. -6 hours
D. -5 hours

Solution

120°W corresponds to 120 / 15 = 8 hours behind GMT, hence -8 hours.

Correct Answer: A — -8 hours

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Q. If a place is located at 120°W longitude, what is its time offset from UTC?

A. UTC-8
B. UTC-7
C. UTC-6
D. UTC-5

Solution

120°W corresponds to UTC-8, as each 15° represents one hour.

Correct Answer: A — UTC-8

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Q. If a place is located at 120°W longitude, what is the time difference from GMT?

A. -8 hours
B. -7 hours
C. -6 hours
D. -5 hours

Solution

120°W corresponds to a time difference of 120° * 4 minutes = 480 minutes = 8 hours behind GMT.

Correct Answer: A — -8 hours

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Q. If a place is located at 120°W, what is its time difference from GMT?

A. -8 hours
B. -7 hours
C. -6 hours
D. -5 hours

Solution

120°W is 120/15 = 8 hours behind GMT, hence -8 hours.

Correct Answer: A — -8 hours

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Q. If a place is located at 45°N latitude and 90°W longitude, what is its approximate time offset from UTC?

A. UTC-5
B. UTC-6
C. UTC-7
D. UTC-8

Solution

90°W corresponds to a time offset of 90 * 4 = 360 minutes or 6 hours behind UTC, hence UTC-6.

Correct Answer: B — UTC-6

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Q. If a place is located at 45°N latitude, what is the maximum angle of elevation of the sun at noon during the summer solstice?

A. 45°
B. 60°
C. 75°
D. 90°

Solution

At the summer solstice, the sun is directly overhead at the Tropic of Cancer (23.5°N). The maximum angle of elevation at 45°N is 90° - (45° - 23.5°) = 75°.

Correct Answer: C — 75°

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Q. If a plane travels from 30°N to 30°S along the same longitude, how many degrees of latitude does it cover?

A. 30°
B. 60°
C. 90°
D. 120°

Solution

The plane travels from 30°N to 0° (the equator) and then to 30°S, covering a total of 30° + 30° = 60° of latitude.

Correct Answer: B — 60°

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Q. If a plane travels from 30°N to 30°S along the same meridian, how many degrees of latitude does it cover?

A. 60°
B. 30°
C. 90°
D. 45°

Solution

The plane covers from 30°N to 0° (equator) and then to 30°S, totaling 30° + 30° = 60°.

Correct Answer: A — 60°

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Q. If a plane travels from 30°W to 30°E, how many degrees of longitude does it cross?

A. 30°
B. 60°
C. 90°
D. 120°

Solution

The total distance crossed is |30°W| + |30°E| = 30° + 30° = 60°.

Correct Answer: B — 60°

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Q. If a plane travels from 60°E to 60°W, how many hours will it take to adjust the time?

A. 8 hours
B. 10 hours
C. 12 hours
D. 14 hours

Solution

The total angular distance is 60° + 60° = 120°. 120° / 15° = 8 hours.

Correct Answer: B — 10 hours

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Q. If a plane travels from 60°E to 60°W, how many hours will it take to cross this distance if it travels at a speed of 15° per hour?

A. 8 hours
B. 10 hours
C. 12 hours
D. 15 hours

Solution

The total distance is 60° + 60° = 120°. At 15° per hour, it will take 120 / 15 = 8 hours.

Correct Answer: B — 10 hours

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Q. If a plane travels from 60°W to 60°E, how many hours ahead or behind will it be?

A. 12 hours ahead
B. 12 hours behind
C. 6 hours ahead
D. 6 hours behind

Solution

The total difference is 60° + 60° = 120°, which is 8 hours ahead.

Correct Answer: A — 12 hours ahead

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Q. If a plane travels from 60°W to 60°E, how many hours will it take to cross the time zones assuming it travels through 15° per hour?

A. 8 hours
B. 10 hours
C. 12 hours
D. 14 hours

Solution

The total distance is 60° + 60° = 120°. At 15° per hour, it will take 120° / 15° = 8 hours.

Correct Answer: C — 12 hours

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Q. If a plane travels from a location at 30 degrees East to a location at 30 degrees West, how many degrees of longitude does it cross?

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

Solution

The total distance crossed is 30 + 30 = 60 degrees of longitude.

Correct Answer: B — 60 degrees

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Q. If a plane travels from a location at 30° West longitude to a location at 60° East longitude, what is the total angular distance in degrees? (2023)

A. 90 degrees
B. 120 degrees
C. 150 degrees
D. 180 degrees

Solution

The total angular distance is 30 + 60 = 90 degrees, but since they are on opposite sides of the Prime Meridian, the total is 180 degrees.

Correct Answer: D — 180 degrees

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Q. If a plane travels from a location at 30°N, 60°W to 30°N, 60°E, how many degrees of longitude does it cross?

A. 60°
B. 90°
C. 120°
D. 150°

Solution

The plane crosses from 60°W to 60°E, which is a total of 60° + 60° = 120° of longitude.

Correct Answer: A — 60°

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Q. If a plane travels from a location at 60° W longitude to a location at 30° E longitude, how many degrees of longitude does it cross? (2023)

A. 90 degrees
B. 120 degrees
C. 150 degrees
D. 180 degrees

Solution

The total distance crossed is 60 + 30 = 90 degrees.

Correct Answer: B — 120 degrees

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Q. If a plane travels from a location at 60°E to 120°E, how many time zones does it cross? (2023)

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

Solution

The time difference is (120° - 60°) / 15° = 4 hours, which corresponds to crossing 3 time zones.

Correct Answer: B — 3

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Q. If a plane travels from a location at 60°W to 60°E, how many degrees of longitude does it cross?

A. 120°
B. 180°
C. 240°
D. 300°

Solution

The total distance crossed is 60° + 60° = 120°.

Correct Answer: B — 180°

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Q. If a plane travels from a location at 60°W to a location at 30°E, what is the total change in longitude? (2023)

A. 90°
B. 120°
C. 150°
D. 180°

Solution

The total change in longitude is 60° + 30° = 90°.

Correct Answer: B — 120°

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