Modern India
Q. A man invests Rs. 5000 at a rate of 5% per annum compounded annually. What will be the amount after 3 years? (2020)
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A.
Rs. 5750
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B.
Rs. 6300
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C.
Rs. 5000
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D.
Rs. 5798.75
Solution
Amount = P(1 + r)^n = 5000(1 + 0.05)^3 = 5000(1.157625) = 5798.75.
Correct Answer: D — Rs. 5798.75
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Q. A rectangle has a length of 10 cm and a width of 5 cm. What is its area? (2022)
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A.
50 cm²
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B.
60 cm²
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C.
40 cm²
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D.
30 cm²
Solution
Area = Length * Width = 10 cm * 5 cm = 50 cm².
Correct Answer: A — 50 cm²
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Q. A rectangle has a length of 10 cm and a width of 5 cm. What is the area of the rectangle? (2022)
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A.
50 cm²
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B.
25 cm²
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C.
15 cm²
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D.
30 cm²
Solution
Area = Length × Width = 10 cm × 5 cm = 50 cm².
Correct Answer: A — 50 cm²
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Q. A shopkeeper sells a shirt for Rs. 800 after giving a discount of 20%. What was the marked price of the shirt? (2020)
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A.
Rs. 1000
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B.
Rs. 900
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C.
Rs. 800
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D.
Rs. 750
Solution
Let marked price = x. Then, 0.8x = 800 => x = 800/0.8 = 1000.
Correct Answer: A — Rs. 1000
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Q. A shopkeeper sells an article for Rs. 800, making a profit of 20%. What was the cost price of the article? (2020)
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A.
Rs. 600
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B.
Rs. 640
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C.
Rs. 500
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D.
Rs. 700
Solution
Let CP = x. Then, 800 = x + 0.20x = 1.20x. Therefore, x = 800 / 1.20 = 666.67.
Correct Answer: A — Rs. 600
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Q. A train travels at a speed of 90 km/h. How far will it travel in 2.5 hours? (2019)
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A.
200 km
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B.
225 km
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C.
250 km
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D.
300 km
Solution
Distance = Speed * Time = 90 km/h * 2.5 h = 225 km.
Correct Answer: B — 225 km
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Q. A train travels at a speed of 90 km/h. How long will it take to cover a distance of 270 km? (2021)
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A.
2.5 hours
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B.
3 hours
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C.
3.5 hours
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D.
4 hours
Solution
Time = Distance / Speed = 270 km / 90 km/h = 3 hours.
Correct Answer: B — 3 hours
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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)
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A.
150 km
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B.
120 km
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C.
180 km
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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)
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A.
2 hours
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B.
3 hours
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C.
4 hours
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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 triangle has sides of lengths 3 cm, 4 cm, and 5 cm, what is its area? (2021)
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A.
6 cm²
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B.
12 cm²
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C.
8 cm²
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D.
10 cm²
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 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)
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A.
1210
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B.
1100
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C.
1020
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D.
1200
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 town increases by 10% every year, what will be the population after 2 years if the current population is 1000? (2021)
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A.
1210
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B.
1100
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C.
1020
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D.
1200
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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