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

• 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
• 10 years agoHelpfull: Yes(35) No(0)
• 1. d via ven diagrm 4+6+2+3+1+2+5=23..total 25-23=2
  2.c 4+5+2=11
• 10 years agoHelpfull: Yes(12) No(1)
• 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
• 10 years agoHelpfull: Yes(7) No(5)
• kindly xplain a bit more
• 10 years agoHelpfull: Yes(2) No(0)
• 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
  
  
  
• 9 years agoHelpfull: Yes(2) No(1)
• 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
  
• 8 years agoHelpfull: Yes(1) No(0)
• 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.
  
• 10 years agoHelpfull: Yes(0) No(0)
• Q1= 2
  Q2= 11
• 10 years agoHelpfull: Yes(0) No(0)
• number of cars that had none of the options = 2
  and 11 cars have exactly one of the three options
  
• 9 years agoHelpfull: Yes(0) No(0)
• 1) 2.......................(using venn diagram)
  2) 11
• 9 years agoHelpfull: Yes(0) No(0)
• 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
  
• 8 years agoHelpfull: Yes(0) No(0)