Question 1

Suppose set M is mathematics majors and set B is business majors at a certain university. The shaded region in the following Venn diagram represents students majoring in: 
A)mathematics but not in business.
B)business but not in mathematics.
C)mathematics or in business.
D)mathematics and in business.

Accepted Answer

The answer of Suppose set M is mathematics majors and...

Question 2

Suppose that 100 students were given a biology exam and a chemistry exam. Assume that 36 passed the biology exam but not the chemistry exam, 25 passed the chemistry exam but not the biology exam, and 15 passed neither exam. How many passed the chemistry exam?
A)25
B)64
C)49
D)24

Accepted Answer

To find the number of students who passed the chemistry exam, we need to consider both those who passed only the chemistry exam and those who passed both exams. We know that 36 passed only the biology exam, 25 passed only the chemistry exam, and 15 passed neither. Therefore, the total number of students who passed both exams can be calculated by subtracting the sum of these three groups from the total number of students: 100 - 36 - 25 - 15 = 24. Thus, the total number of students who passed the chemistry exam is the sum of those who passed only the chemistry exam and those who passed both exams: 25 (only chemistry) + 24 (both exams) = 49.

Question 3

If a car drives 11 kilometers per liter, how many miles does it drive per gallon?
A)11
B)15
C)21
D)26

Accepted Answer

The answer of If a car drives 11 kilometers per...

Question 4

A dollar bill is 6.14 inches long, 2.61 inches wide, and 0.0043 inches thick. If you laid 1 million dollar bills end to end, how many miles would the trail be (to the nearest mile)?
A)1000
B)97
C)1198
D)479

Accepted Answer

To find the length of the trail, multiply the length of one dollar bill (6.14 inches) by 1 million. Convert the total inches to miles by dividing by the number of inches in a mile (63,360 inches). The calculation is: (6.14 inches * 1,000,000) / 63,360 inches/mile ≈ 97 miles.

Question 5

For charity, a school collects 10 million pennies. How much money has the school collected?
A)$10 million
B)$1 million
C)$100,000
D)$10,000

Accepted Answer

10 million pennies equal $100,000 because 1 penny is equal to $0.01, so 10,000,000 pennies * $0.01 = $100,000.

Question 6

The Venn diagram shows the results of a survey asking registered voters if they would vote for proposition A or proposition B:  How many surveyed would vote for only proposition B?
A)12
B)58
C)52
D)46

Accepted Answer

The answer of The Venn diagram shows the results of...

Question 7

One kilobyte of memory can store about two-thirds of a page of typical text (excluding formatting). Suppose the typical book is 500 pages. Could a 4-gigabyte flash drive hold tens, hundreds, thousands, or millions of such books?
A)Tens
B)Hundreds
C)Thousands
D)Millions

Accepted Answer

A kilobyte (KB) is 1,024 bytes, and a gigabyte (GB) is approximately 1,024 megabytes (MB), or 1,048,576 kilobytes. A 4GB flash drive is about 4,194,304 kilobytes. If one page of text is roughly 1.5 kilobytes (two-thirds of a kilobyte for half a page), a 500-page book would be about 750 kilobytes. Therefore, a 4GB flash drive could hold about 5,592 books (4,194,304 kilobytes / 750 kilobytes per book), which falls into the category of thousands.

Question 8

A group of students were surveyed to see how many used product A, product B, or product C. The following is a Venn diagram showing the results of the survey:  How many students surveyed use only product C?
A)41
B)20
C)35
D)32

Accepted Answer

Only the students in the intersection of circles A and C and the students in the intersection of circles B and C use more than one product. Therefore, the students who use only product C are represented by the circle labeled C but outside of the intersection with the other two circles. Counting the number of students in this area, we get 20.

Question 9

A group of students were surveyed to see how many used product A, product B, or product C. The following is a Venn diagram showing the results of the survey:  How many students surveyed used none of these products?
A)64
B)38
C)15
D)3

Accepted Answer

The answer of A group of students were surveyed to...

Question 10

A group of students were surveyed to see how many used product A, product B, or product C. The following is a Venn diagram showing the results of the survey:  How many students surveyed did NOT use product A?
A)43
B)57
C)58
D)15

Accepted Answer

The answer of A group of students were surveyed to...

Question 11

The Venn diagram shows the results of a survey asking registered voters if they would vote for proposition A or proposition B:  How many surveyed would NOT vote for proposition A?
A)46
B)52
C)98
D)58

Accepted Answer

By looking at the Venn diagram, we can see that there are 98 people who would not vote for proposition A. This is the number inside the rectangle but outside of both circles.

Question 12

Suppose set M is mathematics majors and set B is business majors at a certain university. The shaded region in the following Venn diagram represents students majoring in: 
A)mathematics but not in business.
B)business but not in mathematics.
C)mathematics or in business.
D)mathematics and in business.

Accepted Answer

The answer of Suppose set M is mathematics majors and...

Question 13

At a certain university, 5% and 17% of total students are mathematics majors (M) and business majors (B), respectively. If 3% of the total students are majoring in both mathematics and business, what percent of total students will be represented by the shaded region of the following Venn diagram? 
A)1%
B)2%
C)3%
D)5%

Accepted Answer

To find the percent represented by the shaded region, we need to subtract the percent of students who are only mathematics majors (5% - 3% = 2%) and the percent of students who are only business majors (17% - 3% = 14%), and then add the percent who are both (3%). 
2% + 14% + 3% = 19%, so the shaded region represents 19% of total students. However, we are only interested in the percent of total students represented by the shaded region, so the answer is 2%.

Question 14

Light travels at 186,000 miles per second. How many FEET does it travel in a microsecond? (A microsecond is a millionth of a second.)
A)186.0
B)982.1
C)9821.0
D)1860.0

Accepted Answer

The answer of Light travels at 186,000 miles per second....

Question 15

Suppose set M is mathematics majors and set B is business majors at a certain university. The shaded region in the following Venn diagram represents students NOT majoring in: 
A)mathematics.
B)business.
C)mathematics or in business.
D)mathematics and in business.

Accepted Answer

The answer of Suppose set M is mathematics majors and...

Question 16

A terabyte is _____ megabytes.
A)1000
B)1 million
C)1 billion
D)1 trillion

Accepted Answer

A terabyte is equivalent to 1 million megabytes. This conversion is based on the decimal system, where 1 terabyte (TB) = 1,000 gigabytes (GB), and 1 gigabyte = 1,000 megabytes (MB).

Question 17

There are 1000 billions in a trillion.

Accepted Answer

A trillion is equal to 1,000,000 billions or 1,000,000,000,000.

Question 18

Suppose A is the set of even numbers and B is the set of odd numbers. How are A and B related?
A)A is a subset of B.
B)B is a subset of A.
C)A and B are disjoint.
D)A and B are equivalent.

Accepted Answer

A and B share no common elements as every element in A is even while every element in B is odd. Therefore, A and B are disjoint.

Question 19

The Venn diagram shows the results of a survey asking registered voters if they would vote for proposition A or proposition B:  To get approved, a proposition must get at least 40% of the total votes. List the approved propositions.
A)None
B)A
C)B
D)A and B

Accepted Answer

The answer of The Venn diagram shows the results of...

Question 20

A group of students were surveyed to see how many used product A, product B, or product C. The following is a Venn diagram showing the results of the survey:  How many students were surveyed?
A)38
B)53
C)64
D)79

Accepted Answer

The answer of A group of students were surveyed to...

Quiz 1: Critical Thinking

Suppose set M is mathematics majors and set B is business majors at a certain university. The shaded region in the following Venn diagram represents students majoring in:

Suppose that 100 students were given a biology exam and a chemistry exam. Assume that 36 passed the biology exam but not the chemistry exam, 25 passed the chemistry exam but not the biology exam, and 15 passed neither exam. How many passed the chemistry exam?

If a car drives 11 kilometers per liter, how many miles does it drive per gallon?

A dollar bill is 6.14 inches long, 2.61 inches wide, and 0.0043 inches thick. If you laid 1 million dollar bills end to end, how many miles would the trail be (to the nearest mile) ?

For charity, a school collects 10 million pennies. How much money has the school collected?

The Venn diagram shows the results of a survey asking registered voters if they would vote for proposition A or proposition B: How many surveyed would vote for only proposition B?

One kilobyte of memory can store about two-thirds of a page of typical text (excluding formatting) . Suppose the typical book is 500 pages. Could a 4-gigabyte flash drive hold tens, hundreds, thousands, or millions of such books?

A group of students were surveyed to see how many used product A, product B, or product C. The following is a Venn diagram showing the results of the survey: How many students surveyed use only product C?

A group of students were surveyed to see how many used product A, product B, or product C. The following is a Venn diagram showing the results of the survey: How many students surveyed used none of these products?

A group of students were surveyed to see how many used product A, product B, or product C. The following is a Venn diagram showing the results of the survey: How many students surveyed did NOT use product A?

The Venn diagram shows the results of a survey asking registered voters if they would vote for proposition A or proposition B: How many surveyed would NOT vote for proposition A?

Suppose set M is mathematics majors and set B is business majors at a certain university. The shaded region in the following Venn diagram represents students majoring in:

At a certain university, 5% and 17% of total students are mathematics majors (M) and business majors (B) , respectively. If 3% of the total students are majoring in both mathematics and business, what percent of total students will be represented by the shaded region of the following Venn diagram?

Light travels at 186,000 miles per second. How many FEET does it travel in a microsecond? (A microsecond is a millionth of a second.)

Suppose set M is mathematics majors and set B is business majors at a certain university. The shaded region in the following Venn diagram represents students NOT majoring in:

A terabyte is _____ megabytes.

There are 1000 billions in a trillion.

Suppose A is the set of even numbers and B is the set of odd numbers. How are A and B related?

The Venn diagram shows the results of a survey asking registered voters if they would vote for proposition A or proposition B: To get approved, a proposition must get at least 40% of the total votes. List the approved propositions.

A group of students were surveyed to see how many used product A, product B, or product C. The following is a Venn diagram showing the results of the survey: How many students were surveyed?