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24 May 2024, 10:23
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Each of the dogs enrolled in an obedience course either passed or failed. What percent of the dogs enrolled in the course passed?
(1) Of the female dogs enrolled, 70 percent passed.
(2) Of the male dogs enrolled, 63 percent passed.
(1) Of the female dogs enrolled, 70 percent passed.
(2) Of the male dogs enrolled, 63 percent passed.
24 May 2024, 11:24
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joaquincollado
Each of the dogs enrolled in an obidience course either passed or failed. What percent of the dogs enrolled in the course passed?
(1) Of the female dogs enrolled, 70 percent passed.
(2) Of the male dogs enrolled, 63 percent passed.
We can use a 2 × 2 matrix to plot the data, as shown below (1) Of the female dogs enrolled, 70 percent passed.
(2) Of the male dogs enrolled, 63 percent passed.
| Male | Female | ||
|---|---|---|---|
| Pass | |||
| Fail | |||
| m | x - m | x |
Statement 1
(1) Of the female dogs enrolled, 70 percent passed.
| Male | Female | ||
|---|---|---|---|
| Pass | 0.7(x-m) | ? | |
| Fail | |||
| m | x-m | x |
We have no information on male dogs. Hence, this statement alone is not sufficient. Eliminate A and D
Statement 2
(2) Of the male dogs enrolled, 63 percent passed.
| Male | Female | ||
|---|---|---|---|
| Pass | 0.63*x | ? | |
| Fail | |||
| m | x-m | x |
We have no information on female dogs. Hence, this statement alone is not sufficient. Eliminate B
Combined
| Male | Female | ||
|---|---|---|---|
| Pass | 0.63*x | 0.7(x-m) | ? |
| Fail | |||
| m | x-m | x |
Number of dogs passed = 0.63x + 0.7x - 0.7m
Percentage = \(\frac{0.63x + 0.7x - 0.7m}{x} = 1.33 - 0.7 \frac{m}{x}\)
The statements combined do not help us get the ratio \(\frac{m}{x}\). Hence, the statements combined are not sufficient either.
Option E
25 May 2024, 03:28
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There are only 4 possible categories here
(1) Male Passed
(2) Female Passed
(3) Male Failed
(4) Female Failed
Also, (1) + (2) + (3) + (4) = 100 (percent)
Question: (2) + (4) = ?
Statement 1: 0.7* [(2) + (4)] = (2)
but we have no information about their actual number as percentage of total dogs hence
NOT SUFFICIENT
Statement 2: 0.63* [(1) + (3)] = (1)
but we have no information about their actual number as percentage of total dogs hence
NOT SUFFICIENT
Combining the statements
We still have no information about the total percentage of male or female dog hence
NOT SUFFICIENT
Answer: Option E
(1) Male Passed
(2) Female Passed
(3) Male Failed
(4) Female Failed
Also, (1) + (2) + (3) + (4) = 100 (percent)
Question: (2) + (4) = ?
Statement 1: 0.7* [(2) + (4)] = (2)
but we have no information about their actual number as percentage of total dogs hence
NOT SUFFICIENT
Statement 2: 0.63* [(1) + (3)] = (1)
but we have no information about their actual number as percentage of total dogs hence
NOT SUFFICIENT
Combining the statements
We still have no information about the total percentage of male or female dog hence
NOT SUFFICIENT
Answer: Option E
joaquincollado
Each of the dogs enrolled in an obidience course either passed or failed. What percent of the dogs enrolled in the course passed?
(1) Of the female dogs enrolled, 70 percent passed.
(2) Of the male dogs enrolled, 63 percent passed.
(1) Of the female dogs enrolled, 70 percent passed.
(2) Of the male dogs enrolled, 63 percent passed.
