All Analytical and Logical Reasoning MCQs

Question 1

A software company is selling a new game in a standard edition and a collector's edition. The box for the standard edition has a volume of 20 cubic inches, and the box for the collector's edition has a volume of 30 cubic inches. The company receives an order for 75 copies of the game, and the total volume of the order to be shipped is 1,870 cubic inches. Which of the following systems of equations can be used to determine the number of standard edition games, s, and collector's edition games, c, that were ordered?

Accepted Answer

75 - s = c20s + 30c = 1,870

Answer

75 - s = c30s + 20c = 1,870

Answer

s - c = 7525(s + c) = 1,870

Answer

s - c = 7530s + 20c = 1,870

Question 2

Theresa ran on a treadmill for thirty minutes, and her time and speed are shown on the graph above. According to the graph, which of the following statements is NOT true concerning Theresa's run?

Accepted Answer

Theresa's speed was increasing for a longer period of time than it was decreasing.

Answer

Theresa ran at a constant speed for five minutes.

Answer

Theresa's speed decreased at a constant rate during the last five minutes.

Answer

Theresa's speed reached its maximum during the last ten minutes.

Question 3

In the figure, what is the value of x?

Accepted Answer

105

Answer

45

Answer

90

Answer

100

Question 4

The formulas are used in medicine to estimate the body surface area A, in square meters, of infants and children whose weight w ranges between 3 and 30 kilograms and whose height h is measured in centimeters.Based on Current's formula, what is w in terms of A ?

Accepted Answer

w = 30A − 4

Answer

w = 30A + 4

Answer

w = 30(A − 4)

Answer

w = 30(A + 4)

Question 5

h(t) = −16t2 + 110t + 72The function above models the height h, in feet, of an object above ground t seconds after being launched straight up in the air. What does the number 72 represent in the function?

Accepted Answer

The initial height, in feet, of the object

Answer

The maximum height, in feet, of the object

Answer

The initial speed, in feet per second, of the object

Answer

The maximum speed, in feet per second, of the object

Question 6

The table gives the typical amounts of energy per gram, expressed in both food calories and kilojoules, of the three macronutrients in food.If x food calories are equivalent to k kilojoules, of the following, which best represents the relationship between x and k?

Accepted Answer

k = 4.2x

Answer

k = 0.24x

Answer

x = 4.2k

Answer

xk = 4.2

Question 7

The table gives the typical amounts of energy per gram, expressed in both food calories and kilojoules, of the three macronutrients in food.If the 180 food calories in a granola bar come entirely from p grams of protein, f grams of fat, and c grams of carbohydrate, which of the following expresses f in terms of p and c?

Accepted Answer

f = 20 - 4/9 (p + c)

Answer

f = 20 + 4/9 (p + c)

Answer

f = 20 - 4/9 (p - c)

Answer

f = 20 + 9/4 (p + c)

Question 8

In the figure, tan B = 3/4. If BC = 15 and DA = 4, what is the length of DE?

Accepted Answer

6

Answer

8

Answer

9

Answer

10

Question 9

The graph above shows the distance traveled d, in feet, by a product on a conveyor belt m minutes after the product is placed on the belt. Which of the following equations correctly relates d and m?

Accepted Answer

d = 2m

Answer

d = 1/2m

Answer

d = m + 2

Answer

d = 2m + 2

Question 10

The formula below is often used by project managers to compute E, the estimated time to complete a job, where O is the shortest completion time, P is the longest completion time, and M is the most likely completion time.E = 0 + 4M + P / 6Which of the following correctly gives P in terms of E, O, and M?

Accepted Answer

P = 6E - O - 4M

Answer

P = -6E + O + 4M

Answer

P = O + 4M + E / 6

Answer

P = O + 4M - E / 6

Question 11

In the figure, RT = TU. What is the value of x?

Accepted Answer

64

Answer

72

Answer

66

Answer

58

Question 12

The width of a rectangular dance floor is w feet. The length of the floor is 6 feet longer than its width. Which of the following expresses the perimeter, in feet, of the dance floor in terms of w?

Accepted Answer

4w + 12

Answer

2w + 6

Answer

w2 + 6

Answer

w2 + 6w

Question 13

y > 2x - 12x > 5Which of the following consists of the y-coordinates of all the points that satisfy the system of inequalities above?

Accepted Answer

y > 4

Answer

y > 6

Answer

y > 5/2

Answer

y > 3/2

Question 14

A group of 202 people went on an overnight camping trip, taking 60 tents with them. Some of the tents held 2 people each, and the rest held 4 people each. Assuming all the tents were filled to capacity and every person got to sleep in a tent, exactly how many of the tents were 2-person tents?

Accepted Answer

19

Answer

30

Answer

20

Answer

18

Question 15

In the circle above, point A is the center and the length of arc BC is 2/5 of the circumference of the circle. What is the value of x?

Accepted Answer

144

Answer

140

Answer

142

Answer

148

Question 16

Tracy collects, sells, and trades figurines, and she tracks the number of figurines in her collection on the graph below.On what interval did the number of figurines decrease the fastest?

Accepted Answer

Between 3 and 4 months

Answer

Between 1 and 2 months

Answer

Between 2 and 3 months

Answer

Between 4 and 5 months

Question 17

In the figure, lines l and m are parallel, y = 20, and z = 60. What is the value of x?

Accepted Answer

100

Answer

120

Answer

90

Answer

80

Question 18

Two types of tickets were sold for a concert held at an amphitheater. Tickets to sit on a bench during the concert cost $75 each, and tickets to sit on the lawn during the concert cost $40 each. Organizers of the concert announced that 350 tickets had been sold and that $19,250 had been raised through ticket sales alone. Which of the following systems of equations could be used to find the number of tickets for bench seats, B, and the number of tickets for lawn seats, L, that were sold for the concert?

Accepted Answer

75B + 40L = 19,250B + L = 350

Answer

(75B) + (40L) = 1,950B + L = 350

Answer

40B + 75L = 19,250B + L = 350

Answer

75B + 40L = 350B + L = 19,250

Question 19

The glass pictured can hold a maximum volume of 473 cubic centimeters, which is approximately 16 fluid ounces.What is the value of k, in centimeters?

Accepted Answer

10.11

Answer

2.52

Answer

7.67

Answer

7.79

Question 20

Water pours into the glass slowly and at a constant rate. Which of the following graphs best illustrates the height of the water level in the glass as it fills?

Accepted Answer

C

Answer

A

Answer

B

Answer

D

All Free Analytical and Logical Reasoning MCQs with Answers