Directions for Q28 to Q31
The summary of a poll conducted in a large residential complex on the residents’ preference for the colour of the paint to be used for the buildings is given below. Use this information to answer the following questions.
50% of the respondents preferred each of light green, sky blue and light pink. 15% preferred light green and sky blue, 22% preferred light pink and sky blue, 25% preferred light green and light pink and 5% preferred all the three colours.

What percentage of respondents preferred none of the three colours?
(a) 5 (b) 7 (c) Data is not sufficient. (d) Cannot say

If 14 respondents had preferred none of the three colours, how many had responded to the survey?
(a) 300 (b) 150 (c) 200 (d) Cannot say


Using the result obtained in the above question, find out how many respondents preferred exactly one colour?
(a) 82 (b) 41 (c) 120 (d) Cannot say

If the percentage of respondents preferring light pink and sky blue and light green and light pink are changed to 27 and 30 respectively keeping all other figures intact, what percentage of respondents prefer none of the given three colours?
(a) 1 (b) 0 (c) Data is inconsistent. (d) Cannot say

Gold is 19 times as heavy as water and copper is 9 times as heavy as water. In what ratio should they be mixed to get an alloy which is 15 times as heavy as water?
(a) 3 : 2 (b) 2 : 3 (c) 3 : 4 (d) 1 : 2

• gold=19,copper=9,alloy=gold:copper
  ans is 3:2
• 13 years agoHelpfull: Yes(1) No(13)
• ans: 1 - b, 2 - c, 3 - b, 4 - d, 5 - a
  
  5% preferred all the three colours.
  25% prefer light green and light pink so,only light green and light pink=25-5= 20
  22% prefer light pink and sky blue so, only light pink and sky blue=22-5= 17
  15% prefer light green and sky blue so, only light green and sky blue=15-5= 10
  50% of the respondents preferred each of light green, sky blue and light pink so, only light green = 50-(20-10-5) = 15
  only light pink = 50-(20-17-5) = 8
  only sky blue = 50-(17-10-5) = 18
  which totals to = 15+18+8+20+10+17+5 = 93
  therefore 100-93 = 7 preferred none of the colours
• 12 years agoHelpfull: Yes(0) No(0)
• 1)b 2)c 3)b 4)17 or c 5)3:2
  let total=100,lg=sb=lp=50,lg+sb=15,lp+sb=22,lg+lp=25,lg+sb+lp=5
  so,lg or sb or lp=3*50-(22+25+15)(as each of them considered twice)+5(as those gave three choices we have subtracted them for all three times as previous so we hv to add them for at least one of their choice)=93 so %includes none of the three=7 1)b
  if none of d three=14 then respondents double or 200% i.e=200 3)c
  only sb=sb-(lg+sb)-(lg+sb)=50-15-22=18,only lp=8,only lg=15,total=41 2)b
  we can get answer 17 for 4 following the sm procedure as for 1 replacing 22 nd 25 by 27 nd 30...again we can't increase the no. both liked respondents no. without sacrificing some only liked repondents no. 41 will be less in this case ...so we can't keep all figures intact i.e ans 4)c in that sense
  19*X+9*Y=15(X+Y) or,X:Y=3:2
  
• 12 years agoHelpfull: Yes(0) No(0)
• ans: 1 - b, 2 - c, 3 - b, 4 - d, 5 - a
  
  5% preferred all the three colours.
  25% prefer light green and light pink so,only light green and light pink=25-5= 20
  22% prefer light pink and sky blue so, only light pink and sky blue=22-5= 17
  15% prefer light green and sky blue so, only light green and sky blue=15-5= 10
  50% of the respondents preferred each of light green, sky blue and light pink so, only light green = 50-(20-10-5) = 15
  only light pink = 50-(20-17-5) = 8
  only sky blue = 50-(17-10-5) = 18
  which totals to = 15+18+8+20+10+17+5 = 93
  therefore 100-93 = 7 preferred none of the colours
• 12 years agoHelpfull: Yes(0) No(0)
• how
  it is possible
• 11 years agoHelpfull: Yes(0) No(0)