All Analytical and Logical Reasoning MCQs

Question 1

A certain package requires 3 centimeters of tape to be closed securely. What is the maximum number of packages of this type that can be secured with 6 meters of tape?

Accepted Answer

200

Answer

100

Answer

150

Answer

300

Question 2

A customer paid $53.00 for a jacket after a 6 percent sales tax was added. What was the price of the jacket before the sales tax was added?

Accepted Answer

$50.00

Answer

$47.60

Answer

$52.60

Answer

$52.84

Question 3

If 50 one-cent coins were stacked on top of each other in a column, the column would be approximately 3 (7/8) inches tall. At this rate, which of the following is closest to the number of one-cent coins it would take to make an 8-inch-tall column?

Accepted Answer

100

Answer

75

Answer

200

Answer

390

Question 4

A survey was given to residents of all 50 states asking if they had earned a bachelor's degree or higher. The results from 7 of the states are given in the table above. The median percent of residents who earned a bachelor's degree or higher for all 50 states was 26.95%. What is the difference between the median percent of residents who earned a bachelor's degree or higher for these 7 states and the median for all 50 states?

Accepted Answer

0.95%

Answer

0.05%

Answer

1.22%

Answer

7.45%

Question 5

The manager of an online news service received the report above on the number of subscriptions sold by the service. The manager estimated that the percent increase from 2012 to 2013 would be double the percent increase from 2013 to 2014. How many subscriptions did the manager expect would be sold in 2014?

Accepted Answer

6,027

Answer

6,020

Answer

6,440

Answer

6,468

Question 6

In 1854, during the California gold rush, each ounce of gold was worth $20, and the largest known mass of gold found in California was worth $62,400 in that year. What was the weight, in pounds, of this mass of gold?

Accepted Answer

195

Answer

188

Answer

190

Answer

198

Question 7

The score on a trivia game is obtained by subtracting the number of incorrect answers from twice the number of correct answers. If a player answered 40 questions and obtained a score of 50, how many questions did the player answer correctly?

Accepted Answer

30

Answer

20

Answer

35

Answer

40

Question 8

Point C is the center of the circle above. What fraction of the area of the circle is the area of the shaded region?

Accepted Answer

5/18

Answer

2/18

Answer

3/18

Answer

7/18

Question 9

If 2a/b = 1/2, what is the value of b/a?

Accepted Answer

4

Answer

1/8

Answer

1/4

Answer

2

Question 10

In a random sample of 200 cars of a particular model, 3 have a manufacturing defect. At this rate, how many of the 10,000 cars of the same model will have a manufacturing defect?

Accepted Answer

150

Answer

200

Answer

250

Answer

300

Question 11

x + 1 = 2/x + 1In the equation above, which of the following is a possible value of x + 1?

Accepted Answer

√2

Answer

1 - √2

Answer

2

Answer

4

Question 12

On April 18, 1775, Paul Revere set off on his midnight ride from Charlestown to Lexington. If he had ridden straight to Lexington without stopping, he would have traveled 11 miles in 26 minutes. In such a ride, what would the average speed of his horse have been, to the nearest tenth of a mile per hour?

Accepted Answer

25.4

Answer

24.5

Answer

25

Answer

26

Question 13

On Tuesday, a local gas station had 135 customers. The table above summarizes whether or not the customers on Tuesday purchased gasoline, a beverage, both, or neither. Based on the data in the table, what is the probability that a gas station customer selected at random on that day did not purchase gasoline?

Accepted Answer

50/135

Answer

15/50

Answer

15/40

Answer

35/50

Question 14

Washington High School randomly selected freshman, sophomore, junior, and senior students for a survey about potential changes to next year's schedule. Of the students selected for the survey, 1/4 were freshmen, and 1/3 were sophomores. Half of the remaining selected students were juniors. If 336 students were selected for the survey, how many were seniors?

Accepted Answer

70

Answer

240

Answer

140

Answer

120

Question 15

Biologists found a new species of pale shrimp at the world's deepest undersea vent, the Beebe Vent Field. The vent is 3.1 miles below the sea's surface. Approximately how many kilometers below the sea's surface is the vent?

Accepted Answer

5

Answer

2

Answer

3

Answer

4

Question 16

Jennifer bought a box of Crunchy Grain cereal. The nutrition facts on the box state that the serving size of the cereal is 3/4 cup and provides 210 calories, 50 of which are calories from fat. In addition, each serving of the cereal provides 180 milligrams of potassium, which is 5% of the daily allowance for adults.If p percent of an adult's daily allowance of potassium is provided by x servings of Crunchy Grain cereal per day, which of the following expresses p in terms of x?

Accepted Answer

p = 5x

Answer

p = 0.5x

Answer

p = (0.05)x

Answer

p = (1.05)x

Question 17

Near the end of a US cable news show, the host invited viewers to respond to a poll on the show's website that asked, "Do you support the new federal policy discussed during the show?" At the end of the show, the host reported that 28% responded "Yes," and 70% responded "No." Which of the following best explains why the results are unlikely to represent the sentiments of the population of the United States?

Accepted Answer

Those who responded to the poll were not a random sample of the population of the United States.

Answer

The percentages do not add up to 100%, so any possible conclusions from the poll are invalid.

Answer

There were not 50% "Yes" responses and 50% "No" responses.

Answer

The show did not allow viewers enough time to respond to the poll.

Question 18

When a patient receives a penicillin injection, the kidneys begin removing the penicillin from the body. The table and graph above show the penicillin concentration in a patient's bloodstream at 5-minute intervals for the 20 minutes immediately following a one-time penicillin injection.According to the table, how many more micrograms of penicillin are present in 10 milliliters of blood drawn from the patient 5 minutes after the injection than are present in 8 milliliters of blood drawn 10 minutes after the injection?

Accepted Answer

576

Answer

570

Answer

578

Answer

580

Question 19

Human blood can be classified into four common blood types-A, B, AB, and O. It is also characterized by the presence (+) or absence (-) of the rhesus factor. The table shows the distribution of blood type and rhesus factor for a group of people. If one of these people who is rhesus negative (-) is chosen at random, the probability that the person has blood type B is 1/9. What is the value of x?

Accepted Answer

8

Answer

5

Answer

6

Answer

7

Question 20

Of the companies surveyed about the skills they required in prospective employees, 20 percent required both computer skills and writing skills. What percent of the companies surveyed required neither computer skills nor writing skills? (1) Of those companies surveyed that required computer skills, half required writing skills. (2) 45 percent of the companies surveyed required writing skills but not computer skills.

Accepted Answer

both statements taken together are sufficient to answer the question, but neither statement alone is sufficient

Answer

statement (1) alone is sufficient, but statement (2) alone is not sufficient to answer the question

Answer

statement (2) alone is sufficient, but statement (1) alone is not sufficient to answer the question

Answer

each statement alone is sufficient

Answer

statements (1) and (2) together are not sufficient, and additional data is needed to answer the question

All Free Analytical and Logical Reasoning MCQs with Answers