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Quiz Session - Attempts With Random Questions

GACE Exam Questions

Page 10 of 27

181.

Read the passage then answer the question that follows. 

The passage answers all of the following questions except:

  • How many marketing e-mails with videos are sent out each day?

  • How much has video e-mail marketing increased click-through rates?

  • What percentage of Internet traffic will video account for next year?

  • How much have e-mail open rates increased since “video” was included in the subject line?

Correct answer: How many marketing e-mails with videos are sent out each day?

The passage discusses the click-through rate of e-mails containing videos and the increase in e-mails being opened when they have "video" in the subject line, but it does not state how many marketing e-mails with videos are sent out each day.

182.

Jacob and Annie are taking turns playing with two dice. What is the likelihood that Jacob will roll two sixes at the same time if he has only has one chance to roll the dice?

  • 1/36

  • 1/6

  • 1/2

  • 1/12

  • 1/3

Correct answer: 1/36

1. Determine the chance of rolling a six during any given roll of one die.

Since there are six sides to a die, and only one side shows a six, there is a 1 in 6 chance of rolling a six, or 1/6.

2. Since the question asks about a six being rolled on each of two dice, multiply the chance of rolling a six on one die by the chance of rolling a six on the other die.

1/6 × 1/6 = 1/36

183.

Read the index below. Then answer the question that follows.

The ABCs of Patient Care
Airway 183-185
Breathing 185-186
Circulation 186-189
Emergency Removal Techniques
Rolls 189-190
Drags 190
Carries 190-191
Equipment 191-192

Which of the following best describes the organizational pattern used in the index?

  • By category

  • Alphabetical

  • Chronological

  • By order of importance

Correct answer: By category

You can identify that the topics are not organized alphabetically, so you can eliminate that answer option. You cannot prove that the topics are organized by any order of importance, so you can eliminate this answer choice as well. Lastly, chronological can be eliminated, as the topics are not in logical order. 

The book deals with different categories of patient and emergency removal techniques.

184.

Read the passage then answer the question that follows. 

Which of the following sentences contains nonstandard capitalization?

  • Sentence 8

  • Sentence 1

  • Sentence 2

  • Sentence 6

Correct answer: Sentence 8

Sentence 8 contains nonstandard capitalization. The word “federal” should not be capitalized unless it is used within a title or an organization’s name. 

Sentences 1, 2, and 6 all contain standard use of capitalization.

185.

Solve the following:

(2a6b2c3)(7a4bc3)

  • 14a10b3c6

  • 14a2b

  • 14a10b2c

  • 14a24b2c9

  • 14abc

Correct answer: 14a10b3c6

1. Multiply 2 × 7.

2 × 7 = 14

2. Add a6 + a4.

a6 + a4 = a6+4 = a10

3. Add b2 + b.

b2 + b = b2+ 1 = b3

4. Add c3 + c3.

c3 + c3 = c3 + 3 = c6

5. Combine the terms.

14a10b3c6

186.

Read the passage then answer the question that follows. 

Which of the following sentences requires revision for redundancy?

  • Sentence 6

  • Sentence 1

  • Sentence 3

  • Sentence 5

Correct answer: Sentence 6

Sentence 6 requires revision for redundancy. The words “current” and “modern” are redundant, as they both mean “present-day.” 

Sentences 1, 3, and 5 do not contain redundant wording.

187.

All of the following are examples of like terms except:

  • x and y

  • 3 and 4

  • x and 3x

  • a2b8c and 2a24b8c

  • 1/2 and 3/8

Correct answer: x and y

Like terms are those that have the same variables and the same exponents. Because x and y are different variables, they are not like terms.

  • 3 and 4 are like terms because they are both numbers that can be combined.
  • x and 3x are like terms because they are the same variable.
  • a2b8c and 2a24b8c are like terms because they are the same variables and the same exponents.
  • 1/2 and 3/8 are like terms because, though they have different denominators, they are both numbers.

188.

If ∠XYZ is complementary to ∠ABC and the measure of ∠XYZ is 55º, what is the measure of ∠ABC?

  • 35º

  • 125º

  • 55º

  • 135º

  • 75º

Correct answer: 35º

Complementary angles are angles whose measurements add up to 90º, so subtract 55º from 90º.

90º - 55º = 35º

189.

If n + z(1/4) - w = p - 6, what is the value of z when n = 12, w = 2, and p = 18?

  • 8

  • 1/2

  • 2

  • 4

Correct answer: 8

Here is the equation you are given: n + z(1/4) - w = p - 6

Now, substitute the values you are given for n, w, and p: 12 + z(1/4) - 2 = 18 - 6

10 + z(1/4) = 12

z(1/4) = 2

z = 8

190.

In the first four hours of apple picking, Charlie picked 61, 57, 72, and 60 apples, respectively. If the average number of apples Charlie picked per hour for the first five hours was 60, how many apples did he pick in the fifth hour?

  • 50

  • 60

  • 55

  • 65

  • 70

Correct answer: 50

1. For the average of a set of data, the sum of the data entries is equal to the product of the average and the number of entries.

Average = Sum of data entries ÷ Total number of entries

Sum of data entries = Average × Total number of entries

2. Since the average number of apples picked during the first five hours is 60, the number of apples picked during that time was:

60 × 5 = 300 apples

3. The number of apples picked in the fifth hour is the number of apples picked in five hours, minus the number of apples picked in the first four hours.

300 - (61 + 57 + 72 + 60) = 300 - 250 = 50 apples

191.

Read the passage then answer the question that follows. 

Which of the following sentences displays a nonstandard placement of a modifying phrase?

  • Sentence 8

  • Sentence 3

  • Sentence 10

  • Sentence 11

Correct answer: Sentence 8

Sentence 8 displays a nonstandard placement of a modifying phrase. The phrase “when lightning strikes the ground” should be placed at the beginning of the sentence, as the remainder of the sentence is what happens after the lightning strikes the ground. 

The other sentences have their modifying phrases directly related to the idea they qualify.

192.

In the diagram, two congruent circles share one point, and each circle shares three points with the rectangle. The radius of each circle is 4 cm. What is the area of the shaded region, rounded to the nearest hundredth?

  • 27.52 cm²

  • 100.48 cm²

  • 128.00 cm²

  • 54.98 cm²

  • 50.25 cm²

Correct answer: 27.52 cm²

1. Find the area of the rectangle.

Area = l × w

A = (4 × 4)(2 × 4) = 16 × 8 = 128 cm² 

2. Find the area of one circle.

A = πr²  

A = π(4²) = 16π

3. Multiply the area of the circle by 2.

16π × 2 = 32π

4. Simplify.

32π = 32(3.14) = 100.48 cm² 

5. Subtract the area of the circles from the area of the rectangle.

128 - 100.48 = 27.52 cm² 

193.

Laura is seven years older than Andrea. Sammie is half as old as Andrea and is 31 years younger than Laura. How old is Andrea?

  • 48

  • 24

  • 55

  • 32

  • 71

Correct answer: 48

1. Express Laura's age, l, in terms of Andrea's age, a.

"Seven years older" is equal to a + 7 = l.

2. Express Sammie's age, s, in terms of a.

"Half as old as" is equal to (1/2)a = s.

3. Express Sammie's age, s, in terms of Laura's age, l.

"31 years younger than" is equal to s + 31 = l.

4. Since (1/2)a = s, insert this into s + 31 = l.

(1/2)a + 31 = l

5.  Substitute a + 7 for l.

(1/2)a + 31 = a + 7

6. Subtract 7 from both sides.

(1/2)a + 31 - 7 = a + 7 - 7

(1/2)a + 24 = a 

7. Multiply both sides by 2.

2[(1/2)a + 24] = 2a 

a + 48 = 2a 

8. Solve for a.

a - a + 48 = 2a - a

48 = a

194.

What is the sum of 23 1/2, 11 1/8, and 26 1/4?

  • 60 7/8

  • 60 5/8

  • 34 1/2

  • 45 1/4

Correct answer: 60 7/8

Add the three fractional amounts together. In order to get the same denominator for each fraction, change 1/2 to 4/8, and 1/4 to 2/8. Then, add the numbers: 

23 4/8 + 11 1/8 + 26 2/8 = 60 7/8

195.

Read the passage then answer the question that follows.

Which of the following sentences represents an opinion of the author rather than a fact?

  • 12

  • 2

  • 5

  • 6

Correct answer: 12

The statement “one that we should all give a try” represents the feelings of the author, and would be difficult to prove. 

All other statements are facts.

196.

Dave and Bryan rode a total of 235 miles today. If Dave rode 37 more miles than Bryan, how many miles did Bryan ride?

  • 99

  • 198

  • 136

  • 37

Correct answer: 99

Backsolving is the easiest way to solve this problem. To backsolve, choose the answer choice that is the middle option to start with, and work toward the correct answer.
99 is the middle option in the answer bank. If Dave and Bryan rode a total of 235 miles and Bryan rode 99 miles, that would leave Dave riding 136 of the miles. Dave's 136 miles less Bryan's 99 miles equals 37 miles. Thus, you can determine Dave rode 37 more miles than Bryan.

You can also solve this problem by setting up the algebraic equation:

(37 + x) + x = 235

37 + 2x = 235

2x = 198

x = 99

197.

How many centimeters are in 38.56 decameters?

  • 38,560 cm

  • 385.6 cm

  • 0.03856 cm

  • 385,600 cm

  • 3.856 cm

Correct answer: 38,560 cm

1. Convert decameters to meters.

38.56 decameters × 10 = 385.6 m

2. Convert meters to centimeters.

385.6 m × 100 = 38,560 cm

198.

Read the passage then answer the question that follows.

Which of the following is the best definition for the author’s use of “handsome”?

  • Generous

  • Beautiful

  • Gorgeous

  • Pleasing

Correct answer: Generous

While beautiful and gorgeous are the most popular definitions, the author uses the word to indicate a generous profit will be made.

199.

Sharon is required to deposit 30 percent of her earnings into her checking account. Sharon earned $600 on Friday. How much of the $600 does Sharon need to deposit into her checking account?

  • $180.00

  • $200.00

  • $300.00

  • $220.00

Correct answer: $180.00

You would need to calculate the percentage. The percentage expression to use is 30/100 x $600. This would give you 0.30 x $600 = $180.00

200.

Find the measurement of ∠A.

  • 87º

  • 138º

  • 51º

  • 42º

  • 15º

Correct answer: 87º

Remember that the number of degrees in any triangle is 180º, and that the number of degrees in any straight angle is also 180º.

1. Subtract 129º from 180º.

180º - 129º = 51º

2. Subtract from 138º from 180º.

180º - 138º = 42º

3. Subtract each angle from 180º.

180º - 51º - 42º = 87º

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