General Knowledge
Q. If a tank uses 15 liters of fuel to travel 100 km, how much fuel will it need to travel 250 km? (2023)
A.
30 liters
B.
35 liters
C.
40 liters
D.
45 liters
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Solution
Fuel needed = (Fuel per 100 km) × (Distance / 100) = 15 liters × (250 km / 100) = 37.5 liters, rounded to 40 liters
Correct Answer: C — 40 liters
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Q. If a test for a disease has a sensitivity of 90% and a specificity of 95%, what is the probability that a person who tests positive actually has the disease, given that the prevalence is 1%? (2022)
A.
0.018
B.
0.1
C.
0.5
D.
0.9
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Solution
Using Bayes' theorem, P(Disease | Positive) = (Sensitivity × Prevalence) / ((Sensitivity × Prevalence) + (1 - Specificity) × (1 - Prevalence)) = (0.9 × 0.01) / ((0.9 × 0.01) + (0.05 × 0.99)) = 0.018.
Correct Answer: A — 0.018
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Q. If a train travels at a speed of 60 km/h, how far will it travel in 2.5 hours?
A.
120 km
B.
150 km
C.
180 km
D.
200 km
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Solution
Distance = speed * time = 60 km/h * 2.5 h = 150 km.
Correct Answer: B — 150 km
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Q. If a triangle has angles of 30° and 60°, what is the measure of the third angle?
A.
90°
B.
60°
C.
30°
D.
120°
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Solution
The sum of angles in a triangle is 180°. Therefore, the third angle is 180° - 30° - 60° = 90°.
Correct Answer: A — 90°
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Q. If a triangle has sides of lengths 3 cm, 4 cm, and 5 cm, is it a right triangle?
A.
Yes
B.
No
C.
Not enough information
D.
Only if angles are known
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Solution
Yes, because 3² + 4² = 5² (9 + 16 = 25).
Correct Answer: A — Yes
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Q. If a triangle has sides of lengths 3 cm, 4 cm, and 5 cm, what is its area? (2021)
A.
6 cm²
B.
12 cm²
C.
8 cm²
D.
10 cm²
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Solution
Area = 1/2 × base × height = 1/2 × 3 cm × 4 cm = 6 cm².
Correct Answer: A — 6 cm²
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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 0.2? (2020)
A.
0.05
B.
0.1
C.
0.15
D.
0.2
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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 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
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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 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
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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 75°W longitude?
A.
6:00 AM
B.
7:00 AM
C.
8:00 AM
D.
9:00 AM
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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 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
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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 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
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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 the area of a triangle is 48 cm² and the base is 12 cm, what is the height? (2022)
A.
6 cm
B.
8 cm
C.
4 cm
D.
10 cm
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Solution
Area = 1/2 * base * height, so 48 = 1/2 * 12 * height, height = 48/(6) = 8 cm.
Correct Answer: B — 8 cm
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Q. If the atmospheric pressure is 1013 hPa, what is it in mmHg?
A.
760 mmHg
B.
800 mmHg
C.
850 mmHg
D.
900 mmHg
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Solution
The atmospheric pressure of 1013 hPa is equivalent to 760 mmHg.
Correct Answer: A — 760 mmHg
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Q. If the average incubation period of a disease is 14 days, how many days will it take for 3 incubation periods to pass? (2020)
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Solution
Total days = 3 × 14 = 42 days.
Correct Answer: B — 42
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Q. If the lengths of the sides of a triangle are 7 cm, 24 cm, and 25 cm, is it a right triangle? (2023)
A.
Yes
B.
No
C.
Cannot be determined
D.
Only if angles are known
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Solution
Using Pythagoras theorem, 7² + 24² = 49 + 576 = 625 = 25², so it is a right triangle.
Correct Answer: A — Yes
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Q. If the lengths of two sides of a triangle are 8 cm and 15 cm, what is the maximum possible length of the third side? (2021)
A.
22 cm
B.
23 cm
C.
24 cm
D.
25 cm
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Solution
The maximum length of the third side is less than the sum of the other two sides, so it can be 22 cm.
Correct Answer: A — 22 cm
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Q. If the mortality rate of a disease is 5% and 2000 people are diagnosed, how many deaths are expected? (2023)
A.
50
B.
75
C.
100
D.
125
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Solution
Expected deaths = 5% of 2000 = 0.05 * 2000 = 100 deaths.
Correct Answer: C — 100
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Q. If the Parliament has 790 members and 20% are women, how many women are there in the Parliament?
A.
158
B.
160
C.
150
D.
170
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Solution
Number of women = 20% of 790 = 0.2 * 790 = 158.
Correct Answer: A — 158
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Q. If the Parliament has 790 members and 40% are from the opposition, how many members are from the opposition?
A.
316
B.
320
C.
300
D.
310
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Solution
Opposition members = 40% of 790 = 0.4 * 790 = 316.
Correct Answer: A — 316
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Q. If the Parliament is in session for 120 days in a year and the Lok Sabha meets for 75% of those days, how many days does the Lok Sabha meet?
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Solution
Days Lok Sabha meets = 75% of 120 = 0.75 * 120 = 90.
Correct Answer: A — 90
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Q. If the perimeter of a triangle is 30 cm and the lengths of two sides are 10 cm and 12 cm, what is the length of the third side? (2020)
A.
8 cm
B.
10 cm
C.
12 cm
D.
14 cm
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Solution
Let the third side be x. Then, 10 + 12 + x = 30, so x = 30 - 22 = 8 cm.
Correct Answer: A — 8 cm
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Q. If the pH of a river is measured to be 7.5, what type of water is it considered? (2020)
A.
Acidic
B.
Neutral
C.
Alkaline
D.
Distilled
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Solution
A pH greater than 7 is considered alkaline.
Correct Answer: C — Alkaline
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Q. If the population of a city increases by 10% every year, what will be the population after 2 years if the current population is 1000? (2021)
A.
1210
B.
1100
C.
1020
D.
1200
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Solution
Population after 1 year = 1000 * 1.10 = 1100. Population after 2 years = 1100 * 1.10 = 1210.
Correct Answer: A — 1210
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Q. If the population of a country increases by 5% every year, what will be the population after 2 years if the current population is 100,000?
A.
110,250
B.
105,000
C.
120,000
D.
102,500
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Solution
Population after 2 years = 100,000 * (1 + 0.05)^2 = 100,000 * 1.1025 = 110,250.
Correct Answer: A — 110,250
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Q. If the population of a town increases by 10% every year, what will be the population after 2 years if the current population is 1000? (2021)
A.
1210
B.
1100
C.
1020
D.
1200
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Solution
Population after 1 year = 1000 * 1.10 = 1100. Population after 2 years = 1100 * 1.10 = 1210.
Correct Answer: A — 1210
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Q. If the radius of a circle is 7 units, what is its circumference?
A.
14π units
B.
21π units
C.
28π units
D.
7π units
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Solution
Circumference = 2 * π * radius = 2 * π * 7 = 14π units.
Correct Answer: A — 14π units
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Q. If the Rajya Sabha has 12 nominated members and the total number of members is 245, how many are elected?
A.
233
B.
232
C.
230
D.
240
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Solution
Elected members = Total members - Nominated members = 245 - 12 = 233.
Correct Answer: A — 233
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Q. If the Rajya Sabha has 12 nominated members and the total number of members is 245, what percentage of the Rajya Sabha members are nominated?
A.
4.89%
B.
5.00%
C.
6.12%
D.
7.14%
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Solution
Percentage of nominated members = (12 / 245) * 100 = 4.89%.
Correct Answer: B — 5.00%
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Q. If the relative humidity is 80% and the temperature is 25°C, what is the dew point temperature approximately? (2023)
A.
20°C
B.
22°C
C.
18°C
D.
15°C
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Solution
Using a dew point calculator or approximation, the dew point at 80% relative humidity and 25°C is approximately 22°C.
Correct Answer: B — 22°C
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