All Analytical and Logical Reasoning MCQs

Question 1

A sample of oak has a density of 807 kilograms per cubic meter. The sample is in the shape of a cube, where each edge has a length of 0.90 meters. To the nearest whole number, what is the mass, in kilograms, of this sample?

Accepted Answer

588

Answer

726

Answer

897

Answer

1,107

Question 2

The table shows the results of a poll. A total of 803 voters selected at random were asked which candidate they would vote for in the upcoming election. According to the poll, if 6,424 people vote in the election, by how many votes would Angel Cruz be expected to win?

Accepted Answer

1,304

Answer

163

Answer

3,864

Answer

5,621

Question 3

A company that provides whale-watching tours takes groups of 21 people at a time. The company'srevenue is 80 dollars per adult and 60 dollars perchild. If the company's revenue for one group consisting of adults and children was 1,440 dollars,how many people in the group were children?

Accepted Answer

12

Answer

3

Answer

9

Answer

18

Question 4

One of the factors of 2x3 + 42x 2 + 208x is x + b, where b is a positive constant. What is the smallest possible value of b ?

Accepted Answer

8

Answer

2

Answer

4

Answer

6

Question 5

y = − 1.5y = x2 + 8x + aIn the given system of equations, a is a positive constant. The system has exactly one distinct real solution. What is the value of a ?

Accepted Answer

29/2

Answer

6

Answer

4

Answer

8

Question 6

RS = 20ST = 48TR = 52The side lengths of right triangle RST are given. Triangle RST is similar to triangle UVW, where S corresponds to V and T corresponds to W. What is the value of tan W ?

Accepted Answer

5/12

Answer

5/13

Answer

12/13

Answer

12/5

Question 7

One gallon of paint will cover 220 square feet of a surface. A room has a total wall area of w square feet. Which equation represents the total amount of paint P, in gallons, needed to paint the walls of the room twice?

Accepted Answer

P = w/110

Answer

P = 440w

Answer

P = w/220

Answer

P = 220w

Question 8

Jay walks at a speed of 3 miles per hour and runs at a speed of 5 miles per hour. He walks for w hours and runs for r hours for a combined total of 14 miles. Which equation represents this situation?

Accepted Answer

3 +5 w r = 14

Answer

1/3w+ 1/5r =14

Answer

1/3w=1/5r=112

Answer

3w + 5r = 112

Question 9

73, 74, 75, 77, 79, 82, 84, 85, 91What is the median of the data shown?

Accepted Answer

79

Answer

m6q8z-1

Answer

m5q9z2

Answer

m20q12z-2

Question 10

g m = −0.05m + 12.1The given function g models the number of gallons of gasoline that remains from a full gas tank in a ca rafter driving m miles. According to the model, about t how many gallons of gasoline are used to drive each mile?

Accepted Answer

0.05

Answer

12.1

Answer

20

Answer

242.0

Question 11

Triangle XYZ is similar to triangle RST such that X,Y, and Z correspond to R, S, and T, respectively.The measure of ∠Z is 20° and 2 XY = RS. What is the measure of ∠T ?

Accepted Answer

20

Answer

2

Answer

10

Answer

40

Question 12

5x + 10x + 16 = 0How many distinct real solutions does the given equation have?

Accepted Answer

Zero

Answer

Exactly One

Answer

Exactly Two

Answer

Infinitely many

Question 13

A certain park has an area of 11,863,808 square yards. What is the area, in square miles, of this park?(1 mile = 1,760 yards)

Accepted Answer

3.83

Answer

1.96

Answer

3,444.39

Answer

6,740.8

Question 14

In triangles ABC and DEF, angles B and E each have measure 27° and angles C and F each have measure 41°. Which additional piece of information is sufficient to determine whether triangle ABC is congruent to triangle DEF ?

Accepted Answer

The lengths of sides BC and EF

Answer

The measure of angle A

Answer

The length of side AB

Answer

No additional information is necessary.

Question 15

Two data sets of 23 integers each are summarized in the histograms shown. For each of the histograms,the first interval represents the frequency of integers greater than or equal to 10, but less than 20. Thesecond interval represents the frequency of integers greater than or equal to 20, but less than 30, and soon. What is the smallest possible difference between the mean of data set A and the mean of data set B?

Accepted Answer

1

Answer

0

Answer

10

Answer

23

Question 16

A right triangle has legs with lengths of 24 centi meters and 21 centi meters. If the length of this triangle's hypotenuse, in centi meters, can be written in the form 3 d, where d is an integer, what is the value of d

Accepted Answer

113

Answer

1

Answer

10

Answer

23

Question 17

What percentage of 300 is 75?

Accepted Answer

25%

Answer

50%

Answer

75%

Answer

225%

Question 18

3 more than 8 times a number x is equal to 83. Which equation represents this situation?

Accepted Answer

8x + 3 = 83

Answer

(3)(8)x = 83

Answer

3x + 8 = 83

Answer

8x = 83 + 3

Question 19

Hana deposited a fixed amount into her bank account each month. The function f (t) = 100 + 25t gives the amount, in dollars, in Hana's bank account after t monthly deposits. What is the best interpretation of 25 in this context?

Accepted Answer

With each monthly deposit, the amount in Hana's bank account increased by $25.

Answer

Before Hana made any monthly deposits, the amount in her bank account was $25.

Answer

After 1 monthly deposit, the amount in Hana's bank account was $25.

Answer

Hana made a total of 25 monthly deposits.

Question 20

Right triangles PQR and STU are similar, where P corresponds to S. If the measure of angle Q is 18°,what is the measure of angle S ?

Accepted Answer

72°

Answer

18°

Answer

82°

Answer

162°

All Free Analytical and Logical Reasoning MCQs with Answers