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radioguy
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In a survey of political preference,70% of those asked were 11 Sep 2013, 08:18
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Hi ,

can anyone help how to solve the following two problems ?

In a survey of political preference,70% of those asked were in favor of at least one of the proposals - |,|| & |||. 40% of those asked favoured | ,30% favoured || ,and 25% favoured proposal |||.If 5 % favoured all three of the proposals,what is the percentage of those asked favoured more than one of the proposals ?

P.S: Answer choices was not provided.

Show Spoiler
Answer : 20

Source :4Gmat
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maaadhu
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In a survey of political preference,70% of those asked were 11 Sep 2013, 19:06
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radioguy
Hi ,

can anyone help how to solve the following two problems ?

In a survey of political preference,70% of those asked were in favor of at least one of the proposals - |,|| & |||. 40% of those asked favoured | ,30% favoured || ,and 25% favoured proposal |||.If 5 % favoured all three of the proposals,what is the percentage of those asked favoured more than one of the proposals ?

P.S: Answer choices was not provided.

Show Spoiler
Answer : 20

Source :4Gmat
Show more

radioguy,

70% favored atleast one, so 30% favored neither

so formula is

A + B + C - (favored exactly 2 proprosals) - 2(favored exactly 3) + neither = 100

40 + 30 + 25 - (X) - 2*5 + 30 = 100

solve for X = 20.
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In a survey of political preference,70% of those asked were 11 Sep 2013, 19:55
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maaadhu
radioguy
Hi ,

can anyone help how to solve the following two problems ?

In a survey of political preference,70% of those asked were in favor of at least one of the proposals - |,|| & |||. 40% of those asked favoured | ,30% favoured || ,and 25% favoured proposal |||.If 5 % favoured all three of the proposals,what is the percentage of those asked favoured more than one of the proposals ?

P.S: Answer choices was not provided.

Show Spoiler
Answer : 20

Source :4Gmat

radioguy,

70% favored atleast one, so 30% favored neither

so formula is

A + B + C - (favored exactly 2 proprosals) - 2(favored exactly 3) + neither = 100

40 + 30 + 25 - (X) - 2*5 + 30 = 100

solve for X = 20.
Show more

More detailed explanation of highlighted portion

X- Exactly 2 proposal=15

Favored More than one proposal = exactly 2 + all the three
= 15 + 5
= 20
Regards,
Rrsnathan.
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In a survey of political preference,70% of those asked were 11 Sep 2013, 23:30
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maaadhu
radioguy
Hi ,

can anyone help how to solve the following two problems ?

In a survey of political preference,70% of those asked were in favor of at least one of the proposals - |,|| & |||. 40% of those asked favoured | ,30% favoured || ,and 25% favoured proposal |||.If 5 % favoured all three of the proposals,what is the percentage of those asked favoured more than one of the proposals ?

P.S: Answer choices was not provided.

Show Spoiler
Answer : 20

Source :4Gmat

radioguy,

70% favored atleast one, so 30% favored neither

so formula is

A + B + C - (favored exactly 2 proprosals) - 2(favored exactly 3) + neither = 100

40 + 30 + 25 - (X) - 2*5 + 30 = 100

solve for X = 20.
Show more

hi, Madhu

more than one of the proposals - Means her either two / three with overlaps or does it mean to say only two + only three . I am confused about this.
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In a survey of political preference,70% of those asked were 12 Sep 2013, 04:49
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radioguy
Hi ,

can anyone help how to solve the following two problems ?

In a survey of political preference,70% of those asked were in favor of at least one of the proposals - |,|| & |||. 40% of those asked favoured | ,30% favoured || ,and 25% favoured proposal |||.If 5 % favoured all three of the proposals,what is the percentage of those asked favoured more than one of the proposals ?

P.S: Answer choices was not provided.

Show Spoiler
Answer : 20

Source :4Gmat

radioguy,

70% favored atleast one, so 30% favored neither

so formula is

A + B + C - (favored exactly 2 proprosals) - 2(favored exactly 3) + neither = 100

40 + 30 + 25 - (X) - 2*5 + 30 = 100

solve for X = 20.

hi, Madhu

more than one of the proposals - Means her either two / three with overlaps or does it mean to say only two + only three . I am confused about this.
Show more


My bad RadioGuy,

Yes, more than 1 means exactly 2 + exactly 3.

As above X (Exactly 2) = 15 and not 20.

So Exactly 2 + Exactly 3 = 15 + 5 = 20.

Hope I clarified
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In a survey of political preference,70% of those asked were 13 Sep 2013, 02:15
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radioguy
Hi ,

can anyone help how to solve the following two problems ?

In a survey of political preference,70% of those asked were in favor of at least one of the proposals - |,|| & |||. 40% of those asked favoured | ,30% favoured || ,and 25% favoured proposal |||.If 5 % favoured all three of the proposals,what is the percentage of those asked favoured more than one of the proposals ?

P.S: Answer choices was not provided.

Show Spoiler
Answer : 20

Source :4Gmat
Show more

Similar question to practice:
Quote:
In a survey of political preferences, 78% of those asked were in favour of at least one of the proposals: I, II and III. 50% of those asked favoured proposal I, 30% favoured proposal II, and 20% favoured proposal III. If 5% of those asked favoured all three of the proposals, what percentage of those asked favoured more than one of the 3 proposals.

(A) 10
(B) 12
(C) 17
(D) 22
(E) 30
Show more

Discussed here: in-a-survey-of-political-preferences-78-of-those-asked-104770.html

ADVANCED OVERLAPPING SETS PROBLEMS: advanced-overlapping-sets-problems-144260.html

Hope it helps.
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In a survey of political preference,70% of those asked were 16 Sep 2013, 19:43
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Bunuel
radioguy
Hi ,

can anyone help how to solve the following two problems ?

In a survey of political preference,70% of those asked were in favor of at least one of the proposals - |,|| & |||. 40% of those asked favoured | ,30% favoured || ,and 25% favoured proposal |||.If 5 % favoured all three of the proposals,what is the percentage of those asked favoured more than one of the proposals ?

P.S: Answer choices was not provided.

Show Spoiler
Answer : 20

Source :4Gmat

Similar question to practice:
Quote:
In a survey of political preferences, 78% of those asked were in favour of at least one of the proposals: I, II and III. 50% of those asked favoured proposal I, 30% favoured proposal II, and 20% favoured proposal III. If 5% of those asked favoured all three of the proposals, what percentage of those asked favoured more than one of the 3 proposals.

(A) 10
(B) 12
(C) 17
(D) 22
(E) 30

Discussed here: in-a-survey-of-political-preferences-78-of-those-asked-104770.html

ADVANCED OVERLAPPING SETS PROBLEMS: advanced-overlapping-sets-problems-144260.html

Hope it helps.
Show more


Hi Bunnel,
Can you please share how to identify when to use the double set matrix method and when to use the formula or Venn Diagram while solving the problems related to overlapping sets.
I am not able to decide and it so happens that i go down the path using one approach but in the end realize that the one one would have worked better.
Appreciate your response.
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In a survey of political preference,70% of those asked were 17 Sep 2013, 00:53
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karannanda
Bunuel
radioguy
Hi ,

can anyone help how to solve the following two problems ?

In a survey of political preference,70% of those asked were in favor of at least one of the proposals - |,|| & |||. 40% of those asked favoured | ,30% favoured || ,and 25% favoured proposal |||.If 5 % favoured all three of the proposals,what is the percentage of those asked favoured more than one of the proposals ?

P.S: Answer choices was not provided.

Show Spoiler
Answer : 20

Source :4Gmat

Similar question to practice:
Quote:
In a survey of political preferences, 78% of those asked were in favour of at least one of the proposals: I, II and III. 50% of those asked favoured proposal I, 30% favoured proposal II, and 20% favoured proposal III. If 5% of those asked favoured all three of the proposals, what percentage of those asked favoured more than one of the 3 proposals.

(A) 10
(B) 12
(C) 17
(D) 22
(E) 30

Discussed here: in-a-survey-of-political-preferences-78-of-those-asked-104770.html

ADVANCED OVERLAPPING SETS PROBLEMS: advanced-overlapping-sets-problems-144260.html

Hope it helps.


Hi Bunnel,
Can you please share how to identify when to use the double set matrix method and when to use the formula or Venn Diagram while solving the problems related to overlapping sets.
I am not able to decide and it so happens that i go down the path using one approach but in the end realize that the one one would have worked better.
Appreciate your response.
Show more

Double-set matrix is not applicable for three overlapping sets questions. Use the direct formulas or venn diagram for them.

Theory on Overlapping Sets:
advanced-overlapping-sets-problems-144260.html
how-to-draw-a-venn-diagram-for-problems-98036.html

All DS Overlapping Sets Problems to practice: search.php?search_id=tag&tag_id=45
All PS Overlapping Sets Problems to practice: search.php?search_id=tag&tag_id=65
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In a survey of political preference,70% of those asked were 30 Dec 2020, 00:34
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