All Analytical and Logical Reasoning MCQs

Question 1

Jenny has a pitcher that contains 1 gallon of water. How many times could Jenny completely fill the glass with 1 gallon of water? (1 gallon = 128 fluid ounces)

Accepted Answer

8

Answer

16

Answer

4

Answer

3

Question 2

Roberto is an insurance agent who sells two types of policies: a $50,000 policy and a $100,000 policy. Last month, his goal was to sell at least 57 insurance policies. While he did not meet his goal, the total value of the policies he sold was over $3,000,000. Which of the following systems of inequalities describes x, the possible number of $50,000 policies, and y, the possible number of $100,000 policies, that Roberto sold last month?

Accepted Answer

x + y < 57 50,000x + 100,000y > 3,000,000

Answer

x + y < 57 50,000x + 100,000y < 3,000,000

Answer

x + y > 57 50,000x + 100,000y > 3,000,000

Answer

x + y > 57 50,000x + 100,000y < 3,000,000

Question 3

A granite block in the shape of a right rectangular prism has dimensions 30 centimeters by 40 centimeters by 50 centimeters. The block has a density of 2.8 grams per cubic centimeter. What is the mass of the block, in grams? (Density is mass per unit volume.)

Accepted Answer

168,000

Answer

336

Answer

3,360

Answer

16,800

Question 4

The table shows the distribution of ages of the 20 students enrolled in a college class. Which of the following gives the correct order of the mean, median, and mode of the ages?

Accepted Answer

mode < median < mean

Answer

mode < mean < median

Answer

median < mode < mean

Answer

mean < mode < median

Question 5

To determine the mean number of children per household in a community, Tabitha surveyed 20 families at a playground. For the 20 families surveyed, the mean number of children per household was 2.4. Which of the following statements must be true?

Accepted Answer

The sampling method is flawed and may produce a biased estimate of the mean number of children per household in the community.

Answer

The mean number of children per household in the community is 2.4.

Answer

A determination about the mean number of children per household in the community should not be made because the sample size is too small.

Answer

The sampling method is not flawed and is likely to produce an unbiased estimate of the mean number of children per household in the community.

Question 6

The front of a roller-coaster car is at the bottom of a hill and is 15 feet above the ground. If the front of the roller-coaster car rises at a constant rate of 8 feet per second, which of the following equations gives the height h, in feet, of the front of the roller-coaster car s seconds after it starts up the hill?

Accepted Answer

h = 8s + 15

Answer

h = 15s + 335/8

Answer

h = 8s + 335/15

Answer

h = 15s + 8

Question 7

The weights, in pounds, for 15 horses in a stable were reported, and the mean, median, range, and standard deviation for the data were found. The horse with the lowest reported weight was found to actually weigh 10 pounds less than its reported weight. What value remains unchanged if the four values are reported using the corrected weight?

Accepted Answer

Median

Answer

Mean

Answer

Range

Answer

Standard deviation

Question 8

Based on the graph below, in how many of the games played did the soccer team score goals equal to the median number of goals for the 29 games?

Accepted Answer

9

Answer

6

Answer

7

Answer

8

Question 9

A television with a price of $300 is to be purchased with an initial payment of $60 and weekly payments of $30. Which of the following equations can be used to find the number of weekly payments, w, required to complete the purchase, assuming there are no taxes or fees?

Accepted Answer

300 = 30w + 60

Answer

300 = 30w − 60

Answer

300 = 30w

Answer

300 = 60w − 30

Question 10

In the figure, point B lies on AD. What is the value of 3x?

Accepted Answer

54

Answer

18

Answer

36

Answer

72

Question 11

Juan purchased an antique that had a value of $200 at the time of purchase. Each year, the value of the antique is estimated to increase 10% over its value the previous year. The estimated value of the antique, in dollars, 2 years after purchase can be represented by the expression 200a, where a is a constant. What is the value of a?

Accepted Answer

1.21

Answer

0.5

Answer

2

Answer

2.5

Question 12

A helicopter, initially hovering 40 feet above the ground, begins to gain altitude at a rate of 21 feet per second. Which of the following functions represents the helicopter's altitude above the ground y, in feet, t seconds after the helicopter begins to gain altitude?

Accepted Answer

y = 40 + 21t

Answer

y = 40 + 21

Answer

y = 40 - 21t

Answer

y = 40t + 21

Question 13

A text messaging plan charges a flat fee of $5 per month for up to 100 text messages sent plus $0.25 for each additional text message sent that month. Which of the following graphs represents the cost, y, of sending x texts in a month?

Accepted Answer

A

Answer

B

Answer

C

Answer

D

Question 14

The two graphs show the total amounts of money that Ian and Jeremy each have deposited into their savings accounts for the first seven weeks after opening their accounts. After they made their initial deposits, how much more did Ian deposit each week than Jeremy?

Accepted Answer

$50

Answer

$200

Answer

$100

Answer

$25

Question 15

A printer produces posters at a constant rate of 42 posters per minute. At what rate, in posters per hour, does the printer produce the posters?

Accepted Answer

2520

Answer

1250

Answer

3150

Answer

2450

Question 16

A teacher is creating an assignment worth 70 points. The assignment will consist of questions worth 1 point and questions worth 3 points. Which equation represents this situation, where x represents the number of 1-point questions and y represents the number of 3-point questions?

Accepted Answer

x + 3y = 70

Answer

4xy = 70

Answer

4(x + y) = 70

Answer

3x + y= 70

Question 17

Vivian bought party hats and cupcakes for $71. Each package of party hats cost $3, and each cupcake cost $1. If Vivian bought 10 packages of party hats, how many cupcakes did she buy?

Accepted Answer

41

Answer

43

Answer

51

Answer

52

Question 18

Circle A has a radius of 3n and circle B has a radius of 129n, where n is a positive constant. The area of circle B is how many times the area of circle A?

Accepted Answer

1,849

Answer

43

Answer

86

Answer

129

Question 19

The measure of angle R is 2π / 3 radians. The measure of angle T is 5π / 12 radians greater than the measure ofangle R. What is the measure of angle T, in degrees?

Accepted Answer

195

Answer

75

Answer

120

Answer

390

Question 20

The perimeter of an equilateral triangle is 624 centimeters. The height of this triangle is k 3 centimeters, where k is a constant. What is the value of k?

Accepted Answer

104

Answer

40

Answer

100

Answer

204

All Free Analytical and Logical Reasoning MCQs with Answers