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19 Dec 2019, 03:49
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Difficulty:
95%
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Question Stats:
42% (02:38) correct
58%
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wrong
based on 153
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Each student of the school Z is a member of either club X or club Y, but not both. If each club has some international students, is the ratio of the number of domestic students to the number of international students greater for club X than for school Z?
(1) The ratio of the number of domestic students to the number of international students is less for Class Y than school Z.
(2) More than half of the domestic students of school Z are members of club X and more than half of the international students of school Z are members of club Y.
Are You Up For the Challenge: 700 Level Questions
(1) The ratio of the number of domestic students to the number of international students is less for Class Y than school Z.
(2) More than half of the domestic students of school Z are members of club X and more than half of the international students of school Z are members of club Y.
Are You Up For the Challenge: 700 Level Questions
20 Dec 2019, 09:19
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Statement 1
\(\frac{d_y}{I_y} < \frac{(d_x+d_y)}{(I_x+I_y)}\)
\(d_yI_x+d_yI_y < d_xI_y+d_yI_y\)
\(d_yI_x < d_xI_y\)
\(d_yI_x+d_xI_x < d_xI_y+d_xI_x\)
\(I_x(d_x+d_y) < d_x(I_x+I_y)\)
\(\frac{(d_x+d_y)}{(I_x+I_y)} < \frac{d_x}{I_x}\)
Sufficient
Statement 2-
\(d_x>d_y\)
\(I_y > I_x\)
Hence, \(\frac{d_x}{I_x} > \frac{d_y}{I_y}\)
or \(\frac{d_y}{I_y}\) < \(\frac{(d_x+d_y)}{(I_x+I_y)} < \frac{d_x}{I_x}\)
Sufficient
\(\frac{d_y}{I_y} < \frac{(d_x+d_y)}{(I_x+I_y)}\)
\(d_yI_x+d_yI_y < d_xI_y+d_yI_y\)
\(d_yI_x < d_xI_y\)
\(d_yI_x+d_xI_x < d_xI_y+d_xI_x\)
\(I_x(d_x+d_y) < d_x(I_x+I_y)\)
\(\frac{(d_x+d_y)}{(I_x+I_y)} < \frac{d_x}{I_x}\)
Sufficient
Statement 2-
\(d_x>d_y\)
\(I_y > I_x\)
Hence, \(\frac{d_x}{I_x} > \frac{d_y}{I_y}\)
or \(\frac{d_y}{I_y}\) < \(\frac{(d_x+d_y)}{(I_x+I_y)} < \frac{d_x}{I_x}\)
Sufficient
Bunuel
