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Question

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. $2$

Comments

Answer will be 2

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Yes, the answer is 2

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https://aptitude.gateoverflow.in/1982/cat2003-2-58

same question merge these two

Answer 1

$15$ cars have Air-conditioning, $12$ cars have radios, & $11$ cars have power windows options

$2$ cars had air conditioning and power windows but no radios

$6$ cars had air conditioning and radio but no power windows

 $4$ cars had radio and power windows.

Now, $3$ cars had all the three options.

The number of cars which have radio but no power windows and no air-conditioners.

The number of cars which have power windows but no air-conditioning and no radios.

The number of cars having air-conditioners but no radios and power windows.

$\color{green}{∴ Number\hspace{0.1cm} of \hspace{0.1cm}cars \hspace{0.1cm}don't\hspace{0.1cm} have \hspace{0.1cm}any \hspace{0.1cm}of \hspace{0.1cm}the \hspace{0.1cm}options =\\ 25 - (1 + 6 + 2 + 3 + 2 + 5 + 4) = 25 - 23 = 2}$

Comments

thanks!!