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A survey on a sample of 25 new cars being sold at a local auto dealer was conducted to see which of the three popular options—air conditioning, radio and power windows—were already installed. The survey found:
15 had air conditioning
2 had air conditioning and power windows but no radios
12 had radio
6 had air conditioning and radio but no power windows
11 had power windows
4 had radio and power windows
3 had all three options
What is the number of cars that had none of the options?
- a)4
- b)3
- c)1
- d)2
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
A survey on a sample of 25 new cars being sold at a local auto dealer ...
According to the question, it is given that there was a survey on a sample of 25 new cars being sold at a local auto dealer was conducted to see which of the three popular options- air-conditioning, radio, and power windows- were already installed.
15 cars had to air-condition. This doesn’t mean that it only had to air-condition. It can also have a radio, or power-windows, or both.
2 cars had air-conditioning and power windows but no radios.
12 cars had power windows. This doesn’t mean that it only had power windows. It can also have a radio, or air-conditioning, or both.
6 cars had air-conditioning and radio but no power windows.
11 cars had a radio. This doesn’t mean that it only had a radio. It can also have power-windows, or air-conditioning, or both.
4 cars had radio and power windows. It may or may not have to air-condition.
3 cars had all three options.
2 cars had air-conditioning and power windows but no radios.
12 cars had power windows. This doesn’t mean that it only had power windows. It can also have a radio, or air-conditioning, or both.
6 cars had air-conditioning and radio but no power windows.
11 cars had a radio. This doesn’t mean that it only had a radio. It can also have power-windows, or air-conditioning, or both.
4 cars had radio and power windows. It may or may not have to air-condition.
3 cars had all three options.
Now, on drawing Venn diagram, we get
When we add all the values, we get a total of 23 cars.
So, 2 cars don’t have the air conditioning or the radio, or the power windows.
Most Upvoted Answer
A survey on a sample of 25 new cars being sold at a local auto dealer ...
Were most commonly chosen by buyers. The three options being considered were: leather seats, sunroof, and navigation system. The survey asked buyers if they had chosen any of these options when purchasing their new car. The results of the survey are as follows:
- 12 out of 25 buyers chose leather seats
- 9 out of 25 buyers chose a sunroof
- 8 out of 25 buyers chose a navigation system
Based on these results, it can be concluded that leather seats were the most commonly chosen option by buyers, followed by a sunroof and then a navigation system.
- 12 out of 25 buyers chose leather seats
- 9 out of 25 buyers chose a sunroof
- 8 out of 25 buyers chose a navigation system
Based on these results, it can be concluded that leather seats were the most commonly chosen option by buyers, followed by a sunroof and then a navigation system.
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A survey on a sample of 25 new cars being sold at a local auto dealer was conducted to see which of the three popular options—air conditioning, radio and power windows—were already installed. The survey found:15 had air conditioning2 had air conditioning and power windows but no radios12 had radio6 had air conditioning and radio but no power windows11 had power windows4 had radio and power windows3 had all three optionsWhat is the number of cars that had none of the options?a)4b)3c)1d)2Correct answer is option 'D'. Can you explain this answer?
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A survey on a sample of 25 new cars being sold at a local auto dealer was conducted to see which of the three popular options—air conditioning, radio and power windows—were already installed. The survey found:15 had air conditioning2 had air conditioning and power windows but no radios12 had radio6 had air conditioning and radio but no power windows11 had power windows4 had radio and power windows3 had all three optionsWhat is the number of cars that had none of the options?a)4b)3c)1d)2Correct answer is option 'D'. Can you explain this answer? for Quant 2025 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about A survey on a sample of 25 new cars being sold at a local auto dealer was conducted to see which of the three popular options—air conditioning, radio and power windows—were already installed. The survey found:15 had air conditioning2 had air conditioning and power windows but no radios12 had radio6 had air conditioning and radio but no power windows11 had power windows4 had radio and power windows3 had all three optionsWhat is the number of cars that had none of the options?a)4b)3c)1d)2Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Quant 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A survey on a sample of 25 new cars being sold at a local auto dealer was conducted to see which of the three popular options—air conditioning, radio and power windows—were already installed. The survey found:15 had air conditioning2 had air conditioning and power windows but no radios12 had radio6 had air conditioning and radio but no power windows11 had power windows4 had radio and power windows3 had all three optionsWhat is the number of cars that had none of the options?a)4b)3c)1d)2Correct answer is option 'D'. Can you explain this answer?.
A survey on a sample of 25 new cars being sold at a local auto dealer was conducted to see which of the three popular options—air conditioning, radio and power windows—were already installed. The survey found:15 had air conditioning2 had air conditioning and power windows but no radios12 had radio6 had air conditioning and radio but no power windows11 had power windows4 had radio and power windows3 had all three optionsWhat is the number of cars that had none of the options?a)4b)3c)1d)2Correct answer is option 'D'. Can you explain this answer? for Quant 2025 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about A survey on a sample of 25 new cars being sold at a local auto dealer was conducted to see which of the three popular options—air conditioning, radio and power windows—were already installed. The survey found:15 had air conditioning2 had air conditioning and power windows but no radios12 had radio6 had air conditioning and radio but no power windows11 had power windows4 had radio and power windows3 had all three optionsWhat is the number of cars that had none of the options?a)4b)3c)1d)2Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Quant 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A survey on a sample of 25 new cars being sold at a local auto dealer was conducted to see which of the three popular options—air conditioning, radio and power windows—were already installed. The survey found:15 had air conditioning2 had air conditioning and power windows but no radios12 had radio6 had air conditioning and radio but no power windows11 had power windows4 had radio and power windows3 had all three optionsWhat is the number of cars that had none of the options?a)4b)3c)1d)2Correct answer is option 'D'. Can you explain this answer?.
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