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Quiz Session - Attempts With Random Questions

ACT Exam Questions

Page 5 of 26

81.

Read the passage then answer the following question.

What question is raised by the passage but never answered?

  • What are the risk factors for hepatitis C?

  • How many liver transplants are performed each year?

  • How is hepatitis C transmitted?

  • What time period is referred to by the term "baby boom"?

The author mentions that testing was previously only done for people with risk factors for hepatitis, but does not explain what those factors are.

From the passage: Testing was previously recommended only for people with certain known risk factors for the infection.

82.

Choose the option that represents the best way to write the underlined portion of the sentence below.

The store is discounting broken men's watches.

  • men's broken watches

  • No change

  • broke men's watches

  • men's broke watches

The store is discounting men's broken watches.

The phrase "broken men's watches" includes a misplaced modifier, making the sentence sound like men are broken, rather than watches.

83.

Given that sin c = 3/5, find tan c × cos c.

  • 3/5

  • 4/3

  • 5/3

  • 3/4

Correct answer: 3/5

If sin c = 3/5, then we consider a right triangle with opposite side = 3 and hypotenuse = 5.

By the Pythagorean theorem, the adjacent side = √(5² − 3²) = 4.

Hence, tan c × cos c = 3/4 × 4/5 = 3/5.

84.

Read the passage then answer the following question.

According to the passage, Bryan is interested in:

  • Computers

  • Accounting

  • Photography

  • Calculus

The first paragraph states that Bryan has an interest in computers.

From the passage: Bryan has a master’s degree in business, yet he wants to learn more about computers.

85.

Read the passage, and then answer the following question.

The giant from which the Causeway takes its name is:

  • Finn MacCool

  • Finn MacStone

  • Michael Collins

  • Daniel O'Connell

Indeed, it has inspired legends of the giant, Finn MacCool, using the columns as stepping stones across the sea to Scotland.

In the third and final sentence of the first paragraph, the author states that Finn MacCool is the name of the giant who is fabled to use the columns as stepping stones to Scotland.

86.

Read the passage then answer the following question.

According to the author, many of the illnesses caused by hepatitis C are:

  • Preventable

  • Fatal

  • Contagious

  • No longer in existence because of vaccines

The last sentence in the passage states that regular blood tests for hepatitis C can alert people to further diseases, which are largely preventable.

From the passage: The study indicates that routine blood tests will address the largely preventable consequences of the disease.

87.

Find the conjugate of 3x + 4 − x.

  • 2x − 4

  • 4x − 4

  • 4 − 2x

  • -2x − 4

Correct answer: 2x − 4

3x + 4 − x = 3x − x + 4 = 2x + 4

The conjugate of 2x + 4 = 2x − 4.

88.

Choose the option that represents the best way to write the underlined portion of the sentence below.

I found myself getting sleepy, dozing, and, waiting for the day to be over.

  • getting sleepy, dozing, and waiting

  • No change

  • getting sleepy dozing and waiting

  • getting sleepy, dozing and, waiting

I found myself getting sleepy, dozing, and waiting for the day to be over.

Commas are used to separate items in a series. In this sentence, "and" is a conjunction and not part of the series. Therefore, "getting sleepy, dozing, and waiting" is the correct usage.

89.

Read the passage, and then answer the following question.

According to the passage, there were uncommonly warm winters in:

  • 1889 and 1890

  • 1917

  • 1876

  • The years of the Great Depression

Uncommonly warm winters in 1889 and 1890 led to a shortage of ice in the United States and gave an added impetus to Linde’s ideas.

The first sentence of the fourth paragraph states that in the United States, the warm winters of 1889 and 1890 created even more need for refrigeration, as there was an ice shortage during this time.

90.

Read the passage, and then answer the following question.

The Giant's Causeway is located in:

  • Northern Ireland

  • Wales

  • Southern Italy

  • Spain

One of the most striking sites in Europe is the Giant’s Causeway on the Antrim coast of Northern Ireland. 

In the first sentence of the passage, the author clearly states that the Giant's Causeway is located on the coast of Northern Ireland. It is currently the lead tourist attraction in the country.

91.

Choose the option that represents the best way to write the underlined portion of the sentence below.

Box jellyfish, are said to be the most venomous creatures in the ocean.

  • Box jellyfish

  • Box, jellyfish

  • Box jellyfish;

  • Box jellyfish:

Box jellyfish are said to be the most venomous creatures in the ocean.

There is no need for additional punctuation in this sentence.

92.

Determine the negative of the following matrix:

[ -9  -5 ]

[  4    7 ]

  • 9   5

    -4   -7

  • -9   -5

    -4   -7

  • 7   -5

    4   -9

  • 7   5

    -4   -9

Correct answer:

95
-4-7

The negative of a matrix implies multiplying the all entries of the matrix by -1. Multiplying all the matrix values by -1, we get:

95
-4-7

93.

Calculate the capacity of the largest whole-cup sized container that can be used to fill a 15-cup, a 20-cup, and a 25-cup vessel an exact number of times.

  • 5-cup

  • 2-cup

  • 300-cup

  • 100-cup

Correct answer: 5-cup

We first find the possible container sizes that can fill each of the bigger vessels an exact number of times:

For 15: 1, 3, 5, 15.

For 20: 1, 2, 4, 5, 10, 20.

For 25: 1, 5, 25.

The largest size common to all three containers is a 5-cup vessel.

94.

Identify an equation representing a function f(x) = |x − 2| that is horizontally compressed.

  • f(x) = |7x − 2|

  • f(x) = |x − 2|/7

  • f(x) = |x/7 − 2|

  • f(x) = |x − 9|

Correct answer: f(x) = |7x − 2|

A function y = f(x) is horizontally compressed if it is in the form y = f(ax), where a > 1.

Since f(x) = | x − 2|, the horizontally compressed function should be f(ax) = |ax − 2|, where a > 1.

From the answer choices, the answer is f(x) = |7x − 2|, since 7 > 1.

95.

Choose the option that represents the best way to write the underlined portion of the sentence below.

Kimberly studied history because she was fascinated by the way people lived in the passed.

  • in the past

  • No change

  • in the paste

  • in the passing

Kimberly studied history because she was fascinated by the way people lived in the past.

Although "passed" and "past" sound the same, "passed" is actually the simple past tense of the verb "to pass." The correct usage is "past."

96.

Find the number of elements in the product D × M, if the row vector D = (0, 2, 4) and the column vector M = (1, 3, 5, -9).

  • 12 elements

  • 6 elements

  • 2 elements

  • 1 elements

Correct answer: 12 elements

The number of elements of D × M = |D × M| = |D| × |M|.

The number of elements of D is |D| = 3.

The number of elements of M is |M| = 4.

Therefore, the number of elements is |D| × |M| = 3 × 4 = 12 elements.

97.

Read the passage then answer the following question.

As it is used in the passage, the word "routine" most nearly means:

  • Regular

  • Ritualistic

  • Boring

  • Sporadic

As it is used in the passage, "routine" most nearly means "regular." The author is speaking of the consequences for adults who were not regularly tested for hepatitis C.

From the passage: The study indicates that routine blood tests will address the largely preventable consequences of the disease.

98.

Choose the option that represents the best way to write the underlined portion of the sentence below.

Both Kerry and Robyn graduated from nursing school.

  • No change

  • has graduated

  • graduate

  • done graduated

Both Kerry and Robyn graduated from nursing school.

Because the subject, "Kerry and Robyn" is plural, it must take a plural verb. In this case, "graduated" is the correct usage.

99.

Read the passage then answer the following question.

According to the second paragraph, many baby boomers were infected:

  • Decades ago

  • In the last five years

  • During medical procedures

  • At birth

In the first sentence of the second paragraph, the author clearly states that many baby boomers were infected decades ago.

From the passage: Many baby boomers were infected decades ago, before routine screening of donated blood and organs, or awareness of the risk from sharing intravenous needles.

100.

Simplify:

( |-3(8 − |- 10|) − 17|)/-2

  • -5 1/2

  • -22 1/2

  • 35 1/2

  • 11 1/2

Correct answer: -5 1/2

( |-3(8 − |- 10|) − 17|)/-2 = ( |-3(8 − 10) − 17|)/-2  

( |-3(-2) − 17|)/-2 

| 6 − 17|/-2 = |-11|/-2 = 11/-2

-5 1/2

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