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Which of the following statements can be inferred from the table?

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Which of the following statements can be inferred from the table? [#permalink]

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New post 02 Nov 2017, 22:05
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Which of the following statements can be inferred from the table?

I. The average number of hours worked per worker is less than 40.
II. At least 3 workers worked more than 48 hours.
III. More than half of all the workers worked more than 40 hours.

(A) I only
(B) II only
(C) I and II only
(D) I and III only
(E) I, II, and III

[Reveal] Spoiler:
Attachment:
2017-11-03_1003.png
2017-11-03_1003.png [ 26.32 KiB | Viewed 468 times ]
[Reveal] Spoiler: OA

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Re: Which of the following statements can be inferred from the table? [#permalink]

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New post 02 Nov 2017, 22:58
Bunuel wrote:
Image
Which of the following statements can be inferred from the table?

I. The average number of hours worked per worker is less than 40.
II. At least 3 workers worked more than 48 hours.
III. More than half of all the workers worked more than 40 hours.

(A) I only
(B) II only
(C) I and II only
(D) I and III only
(E) I, II, and III

[Reveal] Spoiler:
Attachment:
2017-11-03_1003.png

I) 3100/80 <40..can be inferred
II) 3100 - (4*29 + 16*34 + 25*39 + 15*44) = 3100 - (116 + 544 + 975 + 660) = 805
805/20 = ~40..cannot be inferred
III) 45 labors worked for <40 hrs...inferred to be wrong

A
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Re: Which of the following statements can be inferred from the table? [#permalink]

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New post 06 Nov 2017, 17:03
Bunuel wrote:
Image
Which of the following statements can be inferred from the table?

I. The average number of hours worked per worker is less than 40.
II. At least 3 workers worked more than 48 hours.
III. More than half of all the workers worked more than 40 hours.

(A) I only
(B) II only
(C) I and II only
(D) I and III only
(E) I, II, and III

[Reveal] Spoiler:
Attachment:
2017-11-03_1003.png


Let’s analyze each answer choice:

I. The average number of hours worked per worker is less than 40.

Since we are actually given 3,100 as the total number of hours worked by all 80 workers, the average number of hour worked per worker is 3,100/80 = 38.75. Statement I is true.

II. At least 3 workers worked more than 48 hours.

Although there are 20 workers who worked 45 to 50 hours, inclusive, we can’t be certain that there are at least 3 workers who worked more than 48 hours. It’s possible that all 20 workers in this category worked 46 hours. Statement II is not necessarily true.

III. More than half of all the workers worked more than 40 hours.

We can see that 20 + 15 = 35 workers worked 40 hours or more. However, there are 80 workers in total, and 35 is less than half of 80. Thus, we can’t infer that more than half of all the workers worked more than 40 hours. Statement III is not true.

Answer: A
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Re: Which of the following statements can be inferred from the table?   [#permalink] 06 Nov 2017, 17:03
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Which of the following statements can be inferred from the table?

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