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

Question

https://gmatclub.com/forum/download/file.php?id=38316 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 2017-11-03_1003.png

Luckisnoexcuse · Answer

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

ScottTargetTestPrep · Answer

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

ujjwal80 · Answer

Let's deduce what we've got based on given three statements:
I.  The average number of hours worked per worker is less than 40 , so this requires a bit calculation let's hold this option for a while.
II.  At least 3 workers worked more than 48 hours , by given data we only that 20 workers worked between 45-50 hours no specific information about workers worked more than 48 hours. So this is out.
III.  More than half of all the workers worked more than 40 hours , by given data we know only (15 + 20) = 35 workers worked for more than 40 hours and 35 is not half of 80. So this is also out.

By looking at answers choices, here on we can say that only statement I is true.  Hence the answer is (A) . Also if you have noticed no calculations was involved in answering it.

bumpbot · Answer

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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?

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