Q. If a vaccine reduces the risk of infection by 75%, what is the probability of infection after vaccination if the initial probability of infection is 0.2? (2020)
A.
0.05
B.
0.1
C.
0.15
D.
0.2
Show solution
Solution
The probability of infection after vaccination = Initial probability × (1 - reduction) = 0.2 × (1 - 0.75) = 0.2 × 0.25 = 0.05.
Correct Answer:
B
— 0.1
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Q. If a vaccine reduces the risk of infection by 75%, what is the probability of infection after vaccination if the initial probability of infection is 0.1? (2020)
A.
0.025
B.
0.075
C.
0.1
D.
0.5
Show solution
Solution
The new probability of infection after vaccination = Initial probability × (1 - reduction) = 0.1 × (1 - 0.75) = 0.1 × 0.25 = 0.025.
Correct Answer:
A
— 0.025
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Q. If 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
Show solution
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. If a wire carries a current of 3 A and has a resistance of 2 ohms, what is the power dissipated in the wire?
A.
6 W
B.
9 W
C.
12 W
D.
15 W
Show solution
Solution
Power is given by P = I^2 * R. Here, P = (3 A)^2 * 2 Ω = 9 * 2 = 18 W.
Correct Answer:
C
— 12 W
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Q. If a wire carries a current of 4 A and has a resistance of 2 ohms, what is the power dissipated in the wire?
A.
8 W
B.
16 W
C.
4 W
D.
2 W
Show solution
Solution
Power (P) is given by P = I^2 * R. Thus, P = (4 A)^2 * 2 Ω = 16 W.
Correct Answer:
B
— 16 W
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Q. If a woman with blood type A (genotype AO) has a child with a man with blood type B (genotype BO), what are the possible blood types of their child?
A.
A, B, AB, O
B.
A, B, AB
C.
A, O
D.
B, O
Show solution
Solution
The possible blood types from AO x BO are A, B, AB, and O.
Correct Answer:
A
— A, B, AB, O
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Q. If it is 10:00 AM at 90°W, what is the time at 60°E?
A.
1:00 PM
B.
2:00 PM
C.
3:00 PM
D.
4:00 PM
Show solution
Solution
The total difference is 90° + 60° = 150°. Therefore, the time difference is 150° / 15° = 10 hours. So, it is 10:00 AM + 10 hours = 8:00 PM.
Correct Answer:
C
— 3:00 PM
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Q. If it is 10:00 AM at 90°W, what time is it at 30°E?
A.
2:00 PM
B.
3:00 PM
C.
4:00 PM
D.
5:00 PM
Show solution
Solution
The total distance is 90° + 30° = 120°. The time difference is 120° * 4 minutes = 480 minutes = 8 hours. Therefore, 10:00 AM + 8 hours = 6:00 PM.
Correct Answer:
C
— 4:00 PM
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Q. If it is 12:00 noon at the Prime Meridian (0 degrees longitude), what time is it at 45 degrees East longitude? (2020)
A.
6:00 AM
B.
12:00 PM
C.
6:00 PM
D.
3:00 PM
Show solution
Solution
At 45 degrees East, it is 45/15 = 3 hours ahead. Therefore, it is 12:00 PM + 3 hours = 3:00 PM.
Correct Answer:
C
— 6:00 PM
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Q. If it is 12:00 noon at the Prime Meridian (0° longitude), what time is it at 120°E longitude? (2020)
A.
4:00 PM
B.
6:00 PM
C.
8:00 PM
D.
10:00 PM
Show solution
Solution
At 120°E, the time is 120° / 15° = 8 hours ahead of GMT. Therefore, it is 12:00 noon + 8 hours = 8:00 PM.
Correct Answer:
C
— 8:00 PM
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Q. If it is 12:00 noon at the Prime Meridian (0° longitude), what time is it at 45°E longitude?
A.
2:30 PM
B.
3:00 PM
C.
12:30 PM
D.
1:00 PM
Show solution
Solution
Each degree of longitude represents 4 minutes of time. Therefore, at 45°E, it is 45 * 4 = 180 minutes or 3 hours ahead, making it 3:00 PM.
Correct Answer:
B
— 3:00 PM
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Q. If it is 12:00 noon at the Prime Meridian (0° longitude), what time is it at 75°W longitude?
A.
6:00 AM
B.
7:00 AM
C.
8:00 AM
D.
9:00 AM
Show solution
Solution
Each degree of longitude represents 4 minutes of time. 75°W = 75 * 4 = 300 minutes = 5 hours. Therefore, it is 12:00 noon - 5 hours = 7:00 AM.
Correct Answer:
C
— 8:00 AM
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Q. If it is 12:00 noon at the Prime Meridian (0° longitude), what time is it at 90° East longitude? (2020)
A.
6:00 AM
B.
12:00 PM
C.
6:00 PM
D.
12:00 AM
Show solution
Solution
90° East is 6 hours ahead of the Prime Meridian (90/15 = 6), so it is 6:00 PM.
Correct Answer:
C
— 6:00 PM
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Q. If it is 3 PM in New York (75° W), what time is it in London (0° longitude)? (2020)
A.
12 PM
B.
6 PM
C.
8 PM
D.
9 PM
Show solution
Solution
New York is 75° W, which is 75/15 = 5 hours behind London. Therefore, 3 PM + 5 hours = 8 PM in London.
Correct Answer:
B
— 6 PM
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Q. If it is 3:00 PM at 90°W, what is the time at 60°E?
A.
1:00 AM
B.
1:00 PM
C.
9:00 PM
D.
9:00 AM
Show solution
Solution
The difference is 90° + 60° = 150°, which is 10 hours ahead. So, 3:00 PM + 10 hours = 1:00 AM.
Correct Answer:
C
— 9:00 PM
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Q. If it is 3:00 PM in New Delhi (77 degrees East), what time is it in London (0 degrees)?
A.
8:30 AM
B.
9:30 AM
C.
10:30 AM
D.
11:30 AM
Show solution
Solution
New Delhi is 77/15 = 5.13 hours ahead of GMT. Therefore, 3:00 PM - 5.13 hours = 9:30 AM.
Correct Answer:
B
— 9:30 AM
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Q. If it is 3:00 PM in New Delhi (77.1°E), what time is it in London (0° longitude)?
A.
9:30 AM
B.
8:30 AM
C.
10:30 AM
D.
7:30 AM
Show solution
Solution
New Delhi is 77.1°E, which is 77.1 * 4 = 308.4 minutes ahead of UTC. Therefore, it is 3:00 PM - 5 hours and 8 minutes = 9:30 AM in London.
Correct Answer:
B
— 8:30 AM
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Q. If it is 3:00 PM in New Delhi (77.2°E), what time is it in London (0° longitude)?
A.
8:30 AM
B.
9:30 AM
C.
10:30 AM
D.
11:30 AM
Show solution
Solution
New Delhi is 77.2°E, which is 77.2 * 4 minutes = 308.8 minutes ahead of GMT. Therefore, 3:00 PM - 5 hours and 8.8 minutes = 9:30 AM in London.
Correct Answer:
B
— 9:30 AM
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Q. If it is 3:00 PM in New Delhi (77°E), what time is it in London (0° longitude)?
A.
8:30 AM
B.
9:30 AM
C.
10:30 AM
D.
11:30 AM
Show solution
Solution
New Delhi is 77°E, which is 77 * 4 = 308 minutes = 5 hours and 8 minutes ahead of GMT. Therefore, 3:00 PM - 5:08 = 9:30 AM.
Correct Answer:
B
— 9:30 AM
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Q. If it is 3:00 PM in New Delhi (77°E), what time is it in London (0°)?
A.
8:00 AM
B.
9:00 AM
C.
10:00 AM
D.
11:00 AM
Show solution
Solution
New Delhi is 77°E, which is 77/15 = 5.13 hours ahead. Therefore, 3:00 PM - 5 hours = 10:00 AM in London.
Correct Answer:
A
— 8:00 AM
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Q. If it is 3:00 PM in New York (75°W), what time is it in London (0° longitude)?
A.
8:00 PM
B.
6:00 PM
C.
5:00 PM
D.
4:00 PM
Show solution
Solution
New York is 5 hours behind London. Therefore, 3:00 PM + 5 hours = 8:00 PM in London.
Correct Answer:
B
— 6:00 PM
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Q. If it is 3:00 PM in New York (GMT-5), what time is it in London (GMT+0)? (2022)
A.
8:00 AM
B.
10:00 AM
C.
12:00 PM
D.
3:00 PM
Show solution
Solution
New York is 5 hours behind London, so 3:00 PM + 5 hours = 8:00 PM in London.
Correct Answer:
B
— 10:00 AM
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Q. If it is 6:00 AM at 30° East longitude, what time is it at 120° West longitude? (2022)
A.
10:00 PM
B.
12:00 AM
C.
2:00 AM
D.
4:00 AM
Show solution
Solution
The time difference is 30 + 120 = 150 degrees. 150/15 = 10 hours. So, 6:00 AM - 10 hours = 8:00 PM previous day.
Correct Answer:
A
— 10:00 PM
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Q. If it is 6:00 AM at 45°E longitude, what is the time at 135°E longitude?
A.
8:00 AM
B.
9:00 AM
C.
10:00 AM
D.
11:00 AM
Show solution
Solution
135°E is 135/15 = 9 hours ahead. Therefore, 6:00 AM + 9 hours = 3:00 PM.
Correct Answer:
C
— 10:00 AM
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Q. If it is 6:00 AM at 75°W, what time is it at 15°E?
A.
8:00 AM
B.
9:00 AM
C.
7:00 AM
D.
10:00 AM
Show solution
Solution
75°W to 15°E is 90° apart, which is 6 hours. So, 6:00 AM + 6 hours = 12:00 PM.
Correct Answer:
A
— 8:00 AM
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Q. If it is 6:00 AM in New York (75°W), what time is it in London (0° longitude)? (2022)
A.
11:00 AM
B.
12:00 PM
C.
1:00 PM
D.
2:00 PM
Show solution
Solution
New York is 5 hours behind London. Therefore, if it is 6:00 AM in New York, it is 6:00 AM + 5 hours = 11:00 AM in London.
Correct Answer:
B
— 12:00 PM
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Q. If it is 6:00 PM in New Delhi (77.1°E), what is the time in London (0° longitude)?
A.
1:30 PM
B.
12:30 PM
C.
2:30 PM
D.
3:30 PM
Show solution
Solution
New Delhi is 5 hours and 30 minutes ahead of GMT, so 6:00 PM - 5:30 = 12:30 PM.
Correct Answer:
B
— 12:30 PM
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Q. If it is 6:00 PM in New Delhi (77°E), what time is it in London (0°)?
A.
12:00 PM
B.
1:30 PM
C.
2:30 PM
D.
3:30 PM
Show solution
Solution
The time difference is 77° * 4 = 308 minutes or approximately 5 hours and 8 minutes. Therefore, 6:00 PM - 5 hours = 1:00 PM.
Correct Answer:
B
— 1:30 PM
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Q. If it is 8:00 AM in New York (75°W), what time is it in London (0°)? (2022)
A.
1:00 PM
B.
12:00 PM
C.
11:00 AM
D.
10:00 AM
Show solution
Solution
The time difference is 5 hours. Therefore, it is 8:00 AM + 5 hours = 1:00 PM in London.
Correct Answer:
A
— 1:00 PM
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Q. If it is 9:00 AM at 90°W, what is the time at 30°E?
A.
3:00 PM
B.
1:00 PM
C.
5:00 PM
D.
11:00 AM
Show solution
Solution
90°W to 0° is 6 hours ahead, and 0° to 30°E is 2 hours ahead, total = 8 hours ahead, so 9:00 AM + 8 hours = 5:00 PM.
Correct Answer:
A
— 3:00 PM
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