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Afroditee
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There are 1200 respondents to a survey and the number of male responde 15 Oct 2022, 11:39
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95% (hard)

Question Stats:

26% (02:40) correct 74% (02:31) wrong based on 82 sessions

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There are 1200 respondents to a survey and the number of male respondents is more than 600. Now 10% of male respondents and 30% of female respondents support a certain policy, then what is range of the number of the people who support this policy?

A. 116

B. 118

C. 120

D. 122

E. 124
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amisha182000
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There are 1200 respondents to a survey and the number of male responde 20 Nov 2024, 01:15
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rajtare
Afroditee
There are 1200 respondents to a survey and the number of male respondents is more than 600. Now 10% of male respondents and 30% of female respondents support a certain policy, then what is range of the number of the people who support this policy?

A. 116

B. 118

C. 120

D. 122

E. 124

Range = max value - min value

of the two percentages given 30% is the highest, thus we will get the maximum value with this number, if the difference between male and female is minimal.

now we already know that number of males are more than 600, also number of people has to be integer, thus minimum possible value males = 610

thus 10% of 610 = 61

Number of females = 1200-610 = 590,
thus 30% of 590 = 177

Range = 177-61 = 116, hence correct answer should be A
That might not be what 'range' means. What you have taken out is only the difference between male and female supporters given that the support is maximum.

Taking from the calculations you have written. Max supporters = 61+177 = 238

For min. support Female supporters need to be minimized but not 0. That is only possible if we have 10 female respondents giving us 0.30*10 = 3 female supporters

Therefore, male respondents are 1200-10=1900
And male supporters = 0.10*1190= 119

Min Support = 119+3= 122

Range would now be 238-122= 116 (A)
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There are 1200 respondents to a survey and the number of male responde 15 Oct 2022, 14:15
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Afroditee
There are 1200 respondents to a survey and the number of male respondents is more than 600. Now 10% of male respondents and 30% of female respondents support a certain policy, then what is range of the number of the people who support this policy?

A. 116

B. 118

C. 120

D. 122

E. 124

Range = max value - min value

of the two percentages given 30% is the highest, thus we will get the maximum value with this number, if the difference between male and female is minimal.

now we already know that number of males are more than 600, also number of people has to be integer, thus minimum possible value males = 610

thus 10% of 610 = 61

Number of females = 1200-610 = 590,
thus 30% of 590 = 177

Range = 177-61 = 116, hence correct answer should be A
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There are 1200 respondents to a survey and the number of male responde 20 Nov 2024, 01:30
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Yes, it is given as 30% of female respondents support policy. But why not, female respondents should not be zero. i could not understand.
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jjannyyys
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There are 1200 respondents to a survey and the number of male responde 20 Nov 2024, 07:17
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Assumed that male respondents = X, and female respondents = Y

The number of male respondents is more than 600. Therefore, 1200 > X > 600.
Minimum of male respondents is 601 and maximum of male respondents is 1199. 10% of male respondents is between 119.9 and 60.1.
- However, the number of respondents has to be integer, so 60.1 will round it up and 119.9 will round it down. (119 <= 10% of X <= 61)
If 61 respondents is 10% of all male respondents, the total number of male respondents is 610. If 119 respondents is 10% of all male respondents, the total number of male respondents is 1190.

-The number of female respondents is 1200-610 = 590 and 1200-1190 = 10. (10 <= Y <= 590)
3 <= 30% of female respondents <= 177
122 <= 10% of X and 30% Y <= 238

Range = maximum - minimum
238-122 = 116
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