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31 Dec 2020, 20:30
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A
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Difficulty:
95%
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Question Stats:
16% (03:00) correct
84%
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wrong
based on 154
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A journalist is writing an article on the 100 members of the United States Senate. After researching her article, the journalist classifies the Senators into one of four categories: men who have earned at least one college degree, men who have not earned a college degree, women who have earned at least one college degree, and women who have not earned a college degree. How many Senators are men who have earned at least one college degree?
(1) The number of women who have not earned a college degree is 30 percent less than the number of men who have not earned a college degree, and the number of men who have not earned a college degree is 25 percent less than the number of women who have earned a college degree.
(2) The number of women who have not earned a college degree is 70 percent of the number of men who have not earned a college degree, and the number of men who have earned at least one college degree is 30 percent of the number of men who have not earned a college degree.
(1) The number of women who have not earned a college degree is 30 percent less than the number of men who have not earned a college degree, and the number of men who have not earned a college degree is 25 percent less than the number of women who have earned a college degree.
(2) The number of women who have not earned a college degree is 70 percent of the number of men who have not earned a college degree, and the number of men who have earned at least one college degree is 30 percent of the number of men who have not earned a college degree.
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02 Jan 2021, 10:22
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Given, Total no. =100
(1) The number of women who have not earned a college degree is 30 percent less than the number of men who have not earned a college degree, and the number of men who have not earned a college degree is 25 percent less than the number of women who have earned a college degree.
Men without degree=x (say), So, women without degree=0.7*x, women with degree=4/3*x, men with degree=y (say)
So, y+x+0.7*x + 4/3*x = 100 or, 9.1*x +3*y= 300 or, 91*x+30*y=3000, now, (x,y)= (0,100) or (30,9). but atleast, there should be a value of x so, x=0 (not possible) Sufficient.
(2) The number of women who have not earned a college degree is 70 percent of the number of men who have not earned a college degree, and the number of men who have earned at least one college degree is 30 percent of the number of men who have not earned a college degree.
Men without degree=x (say), So, women without degree=0.7*x, men with degree=0.3*x, women with degree=y (say)
So, 0.3*x+x+y+0.7*x = 100 or, 2*x +y= 100; now, (x,y)= (0,100) or (1,98) or (2,96)....... Not sufficient.
So, I think A.
(1) The number of women who have not earned a college degree is 30 percent less than the number of men who have not earned a college degree, and the number of men who have not earned a college degree is 25 percent less than the number of women who have earned a college degree.
Men without degree=x (say), So, women without degree=0.7*x, women with degree=4/3*x, men with degree=y (say)
So, y+x+0.7*x + 4/3*x = 100 or, 9.1*x +3*y= 300 or, 91*x+30*y=3000, now, (x,y)= (0,100) or (30,9). but atleast, there should be a value of x so, x=0 (not possible) Sufficient.
(2) The number of women who have not earned a college degree is 70 percent of the number of men who have not earned a college degree, and the number of men who have earned at least one college degree is 30 percent of the number of men who have not earned a college degree.
Men without degree=x (say), So, women without degree=0.7*x, men with degree=0.3*x, women with degree=y (say)
So, 0.3*x+x+y+0.7*x = 100 or, 2*x +y= 100; now, (x,y)= (0,100) or (1,98) or (2,96)....... Not sufficient.
So, I think A.
01 Jun 2022, 05:41
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TarunKumar1234
TarunKumar1234
How did you arrive at the values of (x,y)? Please let us know your approach. TIA.
Bunuel chetan2u
Can you please help solving this ques?
