Latest Infosys Aptitude Question SOLUTION: Q. 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 – w

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Q. 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
♦ 1 had radio and power windows but no air conditioning
♦ 3 had all three options.

Q1. What is the number of cars that had none of the options?
(a) 4
(b) 3
(c) 1
(d) 2

Q2. How many cars have exactly one of the three options?
(a) 8
(b) 7
(c) 11
(d) None of these

Asked In Infosys BISWAJIT (10 years ago)

Unsolved Read Solution (11)

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Read Solution (11) :

prashant gaurav  (10 years ago)

2 had ac and power window only.
6 had ac and radio only.
3 had all the 3.
4 had radio and power window, out of which 3 have all the 3.
So 1 have radio and power window only.
AC only = ac – ac and power window – ac and radio – all the three
= 15 – 2 – 6 – 3 = 4

Radio only = radio – radio and ac – radio and power window – all the three
= 12 – 6 – 1 – 3 = 2

Power window only = Power window – radio and power window – ac and power window – all the three
= 11 – 1 – 2 – 3 = 5.

So, none of the three = total – any 1 – any 2 – all the 3.
= 25 – 4 – 2 – 5 – 2 – 6 – 1 – 3
= 2

Is this solution Helpfull? Yes (35) | No   

SHILPI  (10 years ago)

1. d via ven diagrm 4+6+2+3+1+2+5=23..total 25-23=2
2.c 4+5+2=11

Is this solution Helpfull? Yes (12) | No (1)  

Madhurima Ray  (10 years ago)

total no of cars=25
no of cars have only AC=4
no. of cars have only radio=2
no. of cars have only power window=5
no. of cars that have none of the options= 25-23=2

Is this solution Helpfull? Yes (7) | No (5)  

Banishree Achary  (10 years ago)

kindly xplain a bit more

Is this solution Helpfull? Yes (2) | No   

manjeet kumar  (9 years ago)

Total Number of cars according to the diagram = 2 + 6 + 3 + 1 + 5 + 2 + 4 = 23.
Therefore, number of cars having none of the given options = 25 - 23 = 2
for venn diagram you have to follow the below link...
http://totalgadha.com/mod/forum/discuss.php?d=1262

Is this solution Helpfull? Yes (2) | No (1)  

KUMAR HARSH  (7 years ago)

A=air conditioning
P=power windows
R=radios
A&P&R'=2
A&R&P'=6
R&P&A'=1
A&R&P=3
A=4
R=2
P=5
SUM OF ALL=23
SO 1. number of cars that had none of the options=25-23=2
2. number of cars have exactly one of the three options=4+2+5=11

Is this solution Helpfull? Yes (1) | No   

nandish  (10 years ago)

cars with only AC=4,
cars with only RADIO=2,
cars with only power windows=5,
so,cars with AC+RADIO,AC+PW,R+PW are 6,2,1,
answer,
29.5,but it is not in the option.
30.11.

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AMRIT CHAKRABORTY  (10 years ago)

Q1= 2
Q2= 11

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puja kundu  (9 years ago)

number of cars that had none of the options = 2
and 11 cars have exactly one of the three options

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komal dhakate  (9 years ago)

1) 2.......................(using venn diagram)
2) 11

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N.Kavipriya  (8 years ago)

Total number of cars=25
cars that have radio only=2
Cars that have AC only=4
Cars that have power window only=5
Cars that have none of the options=2

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