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10 Dec 2019, 02:07
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E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
35%
(medium)
Question Stats:
78% (02:34) correct
22%
(02:17)
wrong
based on 206
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At a certain company, employees who earn $20.00 per hour will be given an increase of $1.00 per hour. For each of the other employees, either the employee will be given an increase of $1.00 per hour or the employee will be given a percent increase equal to the percent increase that will be given to the employees who earn $20.00 per hour, whichever results in a larger increase for that employee. Which of the following statements are true?
I. An employee who earns less than $20.00 per hour will be given a percent increase that is greater than the percent increase that will be given to the employees who earn $20.00 per hour.
II. An employee who earns $22.00 per hour will be given an increase of $1.10 per hour.
III. An employee who earns $24.00 per hour will earn $25.20 per hour after the increase.
A. I only
B. II only
C. III only
D. I and II only
E. I, II, and III
Are You Up For the Challenge: 700 Level Questions
I. An employee who earns less than $20.00 per hour will be given a percent increase that is greater than the percent increase that will be given to the employees who earn $20.00 per hour.
II. An employee who earns $22.00 per hour will be given an increase of $1.10 per hour.
III. An employee who earns $24.00 per hour will earn $25.20 per hour after the increase.
A. I only
B. II only
C. III only
D. I and II only
E. I, II, and III
Are You Up For the Challenge: 700 Level Questions
10 Dec 2019, 03:59
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Bunuel
This tells us three things
(a) that <20.00$ will lead to an increase of $1.00
(b) that >$20.00 will lead to a percent increase equal to 100*1/20 or 5%
(c) that =20.00$ will lead to an increase of $1.00
Now we are looking at MUST be true question
I. An employee who earns less than $20.00 per hour will be given a percent increase that is greater than the percent increase that will be given to the employees who earn $20.00 per hour.
1 will be a greater percentage of <20.00 that for 20.00.
On an amount of 20, 1 gives 5%, but for an amount 10, it will be 100*1/10=10%, so on amounts less than 20, it will always be >5%.
True
II. An employee who earns $22.00 per hour will be given an increase of $1.10 per hour.
The employee will get a 5% increase, so increase =22*5/100=1.1$
True
III. An employee who earns $24.00 per hour will earn $25.20 per hour after the increase.
The employee will get a 5% increase, so amount=24+24*5/100=24+1.2$=25.20$
True
All three true
E
17 Dec 2019, 00:18
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The hidden clue in this question is the percentage increase in salary given to the persons earning $20/hr. If you are someone who earns $20/hr and you receive a $1/hr raise, you received a 5% increase, right?
You will now see that interpreting the second statement of the question becomes very simple. But before that, let’s break up the persons into three categories:
Category 1 – People who earn $20/hr. These people receive a $1/hr (or a 5% raise).
Category 2 – People who earn <$20/hr. 5% of a number less than 20 is less than $1. Therefore, these people receive a $1/hr increase which represents more than 5% of their salary.
Category 3 – People who earn >$20/hr. 5% of a number more than 20 is more than $1. Therefore, these people receive an amount equal to 5% of their salary since this will be more than $1.
Now that this is clear, let’s evaluate the statements one by one.
Statement I says that people in category 2 earn a higher percentage increase than people in category 1. From the above discussion, we know that this is true. Statement I has to be a part of the answer, so answer options B and C can be eliminated.
Statement II and III talk about two individuals who are in category 3. It’s clear that these individuals will receive a 5% increase on their respective salaries.
5% of 22 is 1.10 and 5% of 24 is 1.20. Clearly, statement II is true. When 1.20 is added to 24, the result is 25.20. Statement III is also true. Answer options A and D can be eliminated.
The correct answer option is E.
Hope that helps!
You will now see that interpreting the second statement of the question becomes very simple. But before that, let’s break up the persons into three categories:
Category 1 – People who earn $20/hr. These people receive a $1/hr (or a 5% raise).
Category 2 – People who earn <$20/hr. 5% of a number less than 20 is less than $1. Therefore, these people receive a $1/hr increase which represents more than 5% of their salary.
Category 3 – People who earn >$20/hr. 5% of a number more than 20 is more than $1. Therefore, these people receive an amount equal to 5% of their salary since this will be more than $1.
Now that this is clear, let’s evaluate the statements one by one.
Statement I says that people in category 2 earn a higher percentage increase than people in category 1. From the above discussion, we know that this is true. Statement I has to be a part of the answer, so answer options B and C can be eliminated.
Statement II and III talk about two individuals who are in category 3. It’s clear that these individuals will receive a 5% increase on their respective salaries.
5% of 22 is 1.10 and 5% of 24 is 1.20. Clearly, statement II is true. When 1.20 is added to 24, the result is 25.20. Statement III is also true. Answer options A and D can be eliminated.
The correct answer option is E.
Hope that helps!
