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Quiz Session - Attempts With Random Questions

GED Exam Questions

Page 10 of 47

181.

A swim team has won 24 of 36 meets. The team still has 12 more meets in the season. How many of the remaining meets must the team win in order to win 70% of all meets entered during the season?

  • 10

  • 6

  • 14

  • 3

Correct answer: 10

The team has entered 36 meets and will enter 12 more.

36 + 12 = 48

70% of 48 = 0.7 x 48 = 33.6. We will round up to 34 since the team cannot win a portion of a meet. 

The team must win 34 meets, and it has already won 24 meets. Therefore, the team must win 34 - 24 = 10 meets.

182.

Jack drives x miles one day, y miles the next, and z miles the third. What is the total number of miles driven by Jack?

  • x + y + z

  • xyz

  • (x + y + z)/3

  • xy + z

Correct answer: x + y + z

The questions asks for a total number, which requires only addition. Therefore, x + y + z = total number of miles driven.

183.

|3 + x| = 5

Which of the following options is the correct solution set for the above equation?

  • {-8, 2}

  • {2, 8}

  • {-8, -2}

  • {-8, 8}

Correct answer: {-8, 2} 

The bars which surround the equation signify “absolute value,” which refers to the distance of a number from zero. Therefore, the outcome can be either positive or negative. The equation |3 + x| = 5 has two solutions:

3 + x = - 5 and 3 + x = 5

Solve the first equation.

3 + x = -5

x = -5 - 3

x = -8

Solve the next equation.

3 + x = 5

x = 5 - 3

x = 2

Therefore, the set of possible solutions is {-8, 2}

184.

According to the graph, how much money was spent on extra expenses?

  • $300

  • $2,380

  • $780

  • $1,200

Correct answer: $300

$300 was spent on extra expenses. In order to find out how much was spent in any given category, multiply the total amount of income for the month, $6,000, by the percentage spent. Since 5% was spent on extra expenses, we will multiply $6,000 x 0.05 = $300.

185.

A ball is thrown off the roof with a starting velocity of 10 mph and hits the ground at a final velocity of 30 mph. The trip to the ground takes 5 seconds. What is the acceleration of the ball?

  • 14,389 miles / hour²

  • 4 miles / hour²

  • 6 miles / hour²

  • 21,739 miles / hour²

Correct answer: 14,389 miles / hour²

The formula to use in solving the problem is:
Acceleration = change in velocity / change in time

Fill in numbers:
Acceleration = (30 mph - 10 mph) / 5 sec

Convert to common units:
1hr = 60min = 3,600 sec

5 sec / 3600 sec/hr = .00139 hrs

Calculate:
(30 - 10) ÷ 0.00139 = 14,389

Add on units of measure:
14,389 miles / hour²

186.

Read the supporting details then answer the following question.

According to the passage, how did Columbus see his role in the discovery of the Americas?

  • To spread the Christian religion

  • To make Europeans aware of the Americas

  • To explore the Americas

  • To conquer the Americas

Correct answer: To spread the Christian religion

According to the last sentence of the passage, Columbus saw his role primarily in the light of spreading the Christian religion. 

You may have thought that all of the answer options were correct; however, Columbus led the Europeans to the exploration, conquest, and colonization of the Americas, but the passage didn’t state that Columbus saw it as his personal role.

187.

Read the supporting details then correct the sentence below.

Sentence 6: I have included a summary of my academic and professional experience to help them decide whether to recommend me.

Which of the following changes should be made to correct sentence 6?

  • Change “them” to “you”

  • Change “a” to “an”

  • Change “of” to “to”

  • Change “me” to “us”

Correct answer: Change “them” to “you”

In order to correct sentence 6, you need to change “them” to “you.” The letter is written to a professor, in which the former student is asking the professor to write a letter of recommendation. Therefore, you would not use the plural “them”; you would need to use the singular “you.” 

The other answer options are not options that would make the sentence grammatically correct.

188.

If a horse runs a 0.5-mile track in 6 minutes, how many miles can the horse run in 30 minutes?

  • 2.5 miles

  • 3.5 miles

  • 1.5 miles

  • 2 miles

Correct answer: 2.5 miles

This question can be answered by setting it up as a proportion.

0.5 miles/6 minutes = n miles/30 minutes

0.5/6 = n/30

6n = 15

n = 15/6 = 2.5 miles

189.

|x – 25| = 10

Which of the following options is the correct solution set for the above equation?

  • {15, 35}

  • {-35, 15}

  • {-15, 10}

  • {-15, 15}

Correct answer: {15, 35}

The bars which surround the equation signify “absolute value.” When you have an absolute value, it means that the expression is always positive or zero. Thus, the equation |x – 25| = 10 has two solutions: x = 15, |15 – 25| = 10; and x = 35, |35 – 25| = 10.

190.

During the Constitutional Convention, what plan was chosen for the new legislative body?

  • Virginia Plan

  • Marshall Plan

  • New Jersey Plan

  • Anaconda Plan

Correct answer: Virginia Plan

The Virginia Plan called for Congress to be separated into two houses, an upper house and a lower house. The lower house would represent citizens based on population, and the upper would be a fixed number of Senators per state.

191.

What is 2.35 × 0.15 equal to?

  • 0.3525

  • 3.525

  • 0.03525

  • 35.25

Correct answer: 0.3525 

Remove the decimals from the numbers and multiply.

235 × 15 = 3,525

When multiplying two numbers with decimals, the correct decimal point location is found by adding the number of decimal places in each number. Since 2.35 has two decimal places and 0.15 also has two decimal places, the total number of decimal places in the answer is 4. 

So, 3,525 becomes 0.3525.

192.

When using the Coulomb’s law equation to determine the force between two objects, what does the “Q” in the formula represent?

  • The quantity of charge on an object

  • The distance of separation between two objects

  • The electrostatic force of attraction or repulsion between objects 1 and 2

  • The constant for Coulomb’s law equation

Correct answer: The quantity of charge on an object

The “Q” in Coulomb’s law equation represents the quantity of charge on an object. 

The “k” represents the Coulomb’s law constant (9 x 10^9N x m^2 / C^2). The “d” represents the distance of separation between two objects, and the “F” represents the electrostatic force of attraction or repulsion between objects 1 and 2.

193.

The ratio of two numbers is 2:3. If the smaller number is 6/8, what is the other number?

  • 1 1/8

  • 1/2

  • 1/8

  • 2 1/4

Correct answer: 1 1/8

The ratio of two numbers is 2:3, or 2/3.

The smaller number is 6/8, so let the larger number be x.

Set up a proportion to find the larger number.

2/3 = (6/8)/x

2x = (6/8) x 3

2x = 18/8

x = (18/8)  ÷ 2

x = 18/8 × 1/2

x = (18 × 1)/(8 × 2) = 18/16 = 1 2/16 = 1 1/8

194.

Solve for x:

x = 64

  • 1,296

  • 36

  • 24

  • 4,096

Correct answer: 1,296

Exponents indicate that a number should be multiplied by itself repeatedly.  

64 is equivalent to 6 × 6 × 6 × 6  = 1,296

195.

4 1/16 ÷ 3 1/8

Which of the following options correctly simplifies the above expression?

  • 1 3/10

  • 1 3/4

  • 1 1/4

  • 1 2/3

Correct answer: 1 3/10 

In order to simplify the expression, convert the mixed numbers to improper fractions.

4 1/16 = 65/16

3 1/8 = 25/8

In order to divide by a fraction, multiply it by its reciprocal.

65/16 ÷ 25/8 = 65/16 × 8/25

(65 × 8)/(16 × 25) = 520/400.

Reduce the fraction to its lowest terms.

520/400 ÷ 40/40 = 13/10

Convert the improper fraction to a mixed number.

13/10 = 1 3/10

196.

Express 543,456,008 in scientific notation.

  • 5.43456008 x 108

  • 54.3456008 x 107

  • 0.543456008 x 109

  • 54345.6008 x 104

Correct answer: 5.43456008 x 108

To express a number in scientific notation, express it as the product of a number between 1 and 10 and a power of 10. In this case, the number between 1 and 10 is 5.43456008. In going from 5.43456008 to 543,456,008, you move the decimal point 8 places to the right. Each move represents a multiplication by 10, and 8 moves represents a multiplication by 108. Therefore, the correct answer is 5.43456008 x 108.

197.

The operations manager is designing a new office layout and assumes 3 office chairs per 2 desks. How many office chairs will be needed for an office building with 30 desks?

  • 45 chairs

  • 90 chairs

  • 30 chairs

  • 60 chairs

Correct answer: 45 chairs

In order to solve this problem, set it up as a proportion.

3 chairs/2 desks = c/30 desks

3/2 = c/30

Cross-multiply to solve.

3 × 30 = 2c

90 = 2c

c = 90 ÷ 2

c = 45

198.

Use the map to answer the following question. 

Alaska has experienced wet and dry periods over the last 96 years. In what year was Alaska experiencing its highest wet period?

  • 1960

  • 1920

  • 1940

  • 1980

Correct answer: 1960

Around 1960, Alaska experienced the most significant wettest anomaly from its typical weather pattern.

199.

Read the supporting details then answer the following question.

According to the passage, what led to the general European awareness of the American continents?

  • Christopher Columbus’ voyages across the Atlantic Ocean

  • Leif Ericson’s discovery of the Americas during the 11th century

  • The push to spread the word of the Christian religion

  • The European quest to conquer new land

Correct answer: Christopher Columbus’ voyages across the Atlantic Ocean

According to the passage’s first sentence, it was Christopher Columbus’ voyages across the Atlantic Ocean that led to the general European awareness of the American continents. 

After the Europeans became aware of the American continents, they pushed to conquer the new land and to spread the word of the Christian religion.

200.

If someone is willing to pay twenty-five cents more for a favorite soft drink, this is known as what?

  • Elasticity

  • Demand

  • Supply

  • Equilibrium

Correct answer: Elasticity

Consumers who prefer a certain brand name item over others are typically willing to pay a little more for that item. If it's a low-priced item, like a can of soda, a slightly higher price won't be an issue.

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