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A survey on a sample of 25 new cars bein...

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 radios.
6 had air-conditioning and radios but no power windows.
11 had power windows.
1 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

Text Solution

Verified by Experts

The correct Answer is:
D


According to the question
Total number of cars = 25
Then, total number of cars in figures circles = 23
Therefore, required number of cars having none of the options = 25 - 23 = 2.
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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 not 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) 1 (b) 2 (c) 3 (d) 4

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