Comprehension
Automobiles are the most preferred mode of transport because they allow us to cover large distance quickly. Resultantly, vehicles have been developed that run on diesel, petrol and even on electricity, which is a remarkable innovative development. During a survey about the percentage wise distribution of cars in four different states, the information regarding ratio between the diesel engine cars, petrol engine cars and electric cars was collected. Total number of cars for which data was collected was 8000. Of these, State 1 had 15% of the total cars in the ratio of 3:4:1 (diesel, petrol and electric); State 2 had 20% of the total cars in the ratio of 5:3:2 (diesel, petrol and electric); State 3 had 30% of the total cars in the ratio of 4:5:3 (diesel, petrol and electric), and; State 4 had 35% of the total cars in the ratio of 7:5:2 (diesel, petrol and electric).
Based on the above information, answer the following questions.
Based on the above information, answer the following questions.
Question: 1
If 45% of the electric cars in State 4 are air conditioned (AC) and remaining are non-AC, what is the number of non-AC cars?
If 45% of the electric cars in State 4 are air conditioned (AC) and remaining are non-AC, what is the number of non-AC cars?
Updated On: Nov 7, 2024
- 380
- 240
- 220
- 180
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The Correct Option is C
Solution and Explanation
Electric cars in State 4 = 400.
45% of electric cars in State 4 are AC cars = 0.45 × 400 = 180.
Remaining non-AC cars = 400 − 180 = 220.
The Correct Answer is option (C): 220
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Question: 2
Number of petrol cars in State 2 is how much percentage more than the number of diesel cars in State 1?
Number of petrol cars in State 2 is how much percentage more than the number of diesel cars in State 1?
Updated On: Nov 7, 2024
- 4.67%
- 9.23%
- 3.33%
- 6.67%
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The Correct Option is D
Solution and Explanation
Petrol cars in State 2 = 3/10 ×1600 = 480.
Diesel cars in State 1 = 3/8 ×1200 = 450.
Percentage more = 480−450/450 × 100 = 6.67%.
The Correct Answer is option (D): 6.67%
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Question: 3
What is the ratio of diesel cars in State 4 to electric cars in State 3?
What is the ratio of diesel cars in State 4 to electric cars in State 3?
Updated On: Nov 7, 2024
- 7:3
- 3:7
- 7:4
- 4:7
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The Correct Option is A
Solution and Explanation
Total number of cars in State 4 = 35% of 8000 = 2800. Ratio of diesel, petrol, and electric cars in State 4 = 7:5:2. Diesel cars in State 4 = 7/14 × 2800 = 1400. Total number of cars in State 3 = 30% of 8000 = 2400. Ratio of diesel, petrol, and electric cars in State 3 = 4:5:3. Electric cars in State 3 = 3/12 × 2400 = 600. Thus, the ratio of diesel cars in State 4 to electric cars in State 3 = 1400:600 = 7 : 3.
The Correct Answer is option (A): 7:3
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Question: 4
Compute the percentage of total electric cars to total cars in all the States.
Compute the percentage of total electric cars to total cars in all the States.
Updated On: Nov 7, 2024
- 19.37%
- 18.37%
- 18.73%
- 19.57%
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The Correct Option is B
Solution and Explanation
Total number of electric cars in State 1 = 1/8 × 1200 = 150.
Total number of electric cars in State 2 = 2/10 × 1600 = 320.
Total number of electric cars in State 3 = 3/12 × 2400 = 600.
Total number of electric cars in State 4 = 2/14 × 2800 = 400.
Total electric cars = 150 + 320 + 600 +400 = 1470. Total number of cars = 8000. Percentage of electric cars = 1470/8000 × 100 = 18.73%.
The Correct Answer is option (B): 18.37%
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Question: 5
What is the difference between number of petrol cars in State 3 and diesel cars in State 1?
What is the difference between number of petrol cars in State 3 and diesel cars in State 1?
Updated On: Nov 7, 2024
- 350
- 400
- 500
- 550
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The Correct Option is D
Solution and Explanation
Petrol cars in State 3 = 5/12 ×2400 = 1000.
Diesel cars in State 1 = 3/8 ×1200 = 450.
Difference = 1000 − 450 = 550.
The Correct Answer is option (D): 550
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Question: 6
What is the average number of diesel cars in all the States?
What is the average number of diesel cars in all the States?
Updated On: Nov 7, 2024
- 810
- 862.5
- 886
- 912.5
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The Correct Option is B
Solution and Explanation
Diesel cars in State 1 = 3/8 ×1200 = 450.
Diesel cars in State 2 = 5/10 ×1600 = 800.
Diesel cars in State 3 = 4/12 × 2400 = 800.
Diesel cars in State 4 = 7/14 × 2800 = 1400.
Total number of diesel cars = 450 + 800 + 800 + 1400 = 3450.
Average number of diesel cars = 3450 4 = 862.5.
The Correct Answer is option (B): 862.5
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