Mathematics (1)

Question 1

How many gallons of fuel will be contained in a
rectangular-shaped tank which measures 2 feet in width, 3 feet in length, and 1 foot 8 inches in depth?
(7.5 gal =1 cu ft )

a. 66.6
b. 75
c. 45

Answer 1

b. 75

Question 2

What is the square root of 4 raised to the 5th power?

a. 32
b. 64
c. 20

Answer 2

a. 32

Question 3

Which if the figure is using scientific notation?

1. 3.47x 104 = 34, 700
2. 2(4^10) 2,097,152

a. 1
b. 2
c. Both 1 and 2

Answer 3

a. 1

Question 4

Select the fractional equivalent for a 0.0625-inchthick sheet of aluminum.

a. 1/16
b. 3/64
c. 1/32

Answer 4

a. 1/16

Question 5

Which decimal is most nearly equal to a bend radius of 31/64?

a. 0.2065
b. 0.4844
c. 0.3164

Answer 5

b. 0.4844

Question 6

What is the speed ratio of an input gear with 36 teeth meshed to a gear with 20 teeth?

a. 9:5
b. 1:0.56.
c. 1:1.8

Answer 6

c. 1:1.8

Question 7

The result of 7 raised to the third power plus the square root of 39 is equal to

a. 349.24
b. 34924
c. 34324

Answer 7

a. 349.24

Question 8

A blueprint shows a hole of 0.171787 to be drilled. Which fraction size drill bit is most nearly equal?

a. 11/64
b. 9/32
c. 11/32

Answer 8

a. 11/64

Question 9

Express 7/8 as a percent.

a. 8.75 percent
b. 875 percent
c. 87.5 percent

Answer 9

c. 87.5 percent

Question 10

Which alternative answer is equal to 16,300?

a. 1.63x10 to the fourth power.
b. 1.63x10 to the negative third power
c. 163x10 to the negative second power.

Answer 10

a. 1.63x10 to the fourth power.

Question 11

A four cylinder aircraft engine has a cylinder bore of 3.78 inches and is 8.5 inches deep. With the piston on bottom center, the top of the piston measures 4.0 inches from the bottom of the cylinder. What is he approximate piston displacement of this engine?

a. 200 cubic inches
b. 360 cubic inches
c. 235 cubic inches

Answer 11

a. 200 cubic inches

Question 12

An engine develops 108 horse power at 87 percent power. What horsepower would be developed at 65 percent power?

a. 81
b. 70
c. 61

Answer 12

a. 81

Question 13

1.21875 is equal to

a. 83/64
b. 19/16
c. 39/32

Answer 13

c. 39/32

Question 14

What size of sheet metal is required to fabricate a cylinder 20 inches long and 8 inches in diameter?
(note C= pi x D)

a. 20 inches x25-5/32 inches.
b. 20 inches x24-9/64 inches.
c. 20 inches x25-9/64 inches.

Answer 14

c. 20 inches x25-9/64 inches.

Question 15

Solve the equation.

4- 3[-6(2+3) + 4] =

a. 82
b. -25
c. -71

Answer 15

a. 82

Question 16

Solve the equation
√31 2 + √43 2 (divided by)
(17)^2 =

a. .0297
b. .1680
c. .0419

Answer 16

c. .0419

Question 17

Solve the equation.
-6[-9(-8+4)-2(7+3)] =

a. -332
b. 216
c. -96

Answer 17

c. -96

Question 18

What is the ratio of 10 feet to 30 inches?

a. 4:1
b. 1:3
c. 3:1

Answer 18

a. 4:1

Question 19

Find the value of 10 raised to the negative sixth
power.

a. 0.000001
b. 0.000010
c. 0.0001

Answer 19

a. 0.000001

Question 20

Maximum life for a certain part is 1100 hours. ** , 15 of these parts were removed from different aircraft with an average life of 835.3 hours.** What percent of the maximum part life has been achieved?

a. 75.9 percent
b. 76.9 percent
c. 75.0 percent

Answer 20

a. 75.9 percent

Question 21

Find the area of the triangle shown.
3” 7.5”
4”

a. 12 square inches
b. 6 square inches
c. 15 square inches

Answer 21

b. 6 square inches

Question 22

The total piston displacement of a specific engine is

a. Dependent on the compression ratio.
b. The volume displaced by all the pistons during one revolution of the crankshaft.
c. The total volume of all the cylinders.

Answer 22

b. The volume displaced by all the pistons during one revolution of the crankshaft.

Question 23

Select the fraction which is equal to 0.0250.

a. ¼
b. 1/40
c. 1/400

Answer 23

b. 1/40

Question 24

Find the square root of 1824

a. 42.708x10 to the negative second power
b. 32708
c. .42708x10 to the second power

Answer 24

a. 42.708x10 to the negative second power

Question 25

Find the square root of 1746 a. 41.7852 b. 41.7752 c. 40.7742

Answer 25

a. 41.7852

Question 26

The parts department’s profit is 12 percent on a new part. How much does the part cost if the selling rice is $145.60? a. $128.13 b. $125.60 c. $130.00

Answer 26

c. $130.00

Question 27

Find the square root of 3,722.1835 a. 61.00971 b. 61.00 c. 61.0097

Answer 27

c. 61.0097

Question 28

A certain aircraft bolt has an overall length of 1-1/2 inches, with a shank length of 1-3/16 inches, and a threaded portio length of 5/8 inch. What s the grip length. a. 5625 inch b. 8750 inch c. 3125 inch

Answer 28

a. 5625 inch

Question 29

Find the cube of 64 a. 4 b. 192 c. 262, 144

Answer 29

c. 262, 144

Question 30

What is the surface area of a cube where a side (edge) measures 7.25 inches? a. 381.078 cu. In. b. 315.375 sq. in. c. 52.5625 sq. in.

Answer 30

b. 315.375 sq. in.

Question 31

A rectangular shaped fuel tank measures 27-1/2 inches in length, ¾ foot in width, and 8-1/4 inches in depth. How (231 cu in = 1 gal) a. 7.366 b. 8.83 c. 170.156

Answer 31

b. 8.83

Question 32

Solve the equation (√100 + √36 − √16= a. 12 b. 60 c. 76

Answer 32

a. 12

Question 33

Sixty-five engines are what percent of 80 engines? a. 81 percent b. 65 percent c. 52 percent

Answer 33

a. 81 percent

Question 34

Solve the equation (−35 + 25)(−7) + (𝜋)(16)^−2 (divided by) √25 a. 174.85 b. 68.037 c. 14.002

Answer 34

c. 14.002

Question 35

Convert the binary number 1111 to decimal form. a. 14 b. 15 c. 16

Answer 35

b. 15

Question 36

What is the ratio of a gasoline fuel load of **200 gallons** to one of **1680 pounds?** a. 5:7 b. 2:3 c. 5:42

Answer 36

a. 5:7

Question 37

What is defined as a group of bits representing a complete piece of information? a. Byte b. Bit c. Word

Answer 37

a. Byte

Question 38

Solve the equation. (64x3/8) ÷ ¾ = a. 18 b. 24 c. 32

Answer 38

c. 32

Question 39

What power of 10 is equal to 1,000,000,000? a. 10 to the sixth power b. 10 to the tenth power c. 10 to the ninth power

Answer 39

c. 10 to the ninth power

Question 40

If the volume of a cylinder with the piston at the bottom center is **84 cubic inches** and the piston displacement is **70 cubic inches,** then the compression ratio is a. 7:1 b. 1:2:1 c. 6:1

Answer 40

c. 6:1

Question 41

An airplane flying a distance of 750 miles used 60 gallons of gasoline. How any gallons will it need to travel 2,500 miles? a. 31,250 b. 9,375 c. 200

Answer 41

c. 200

Question 42

What is the piston displacement of a master cylinder with a **1.5 inch diameter bore** and a **piston stroke of 4 inches?** a. 9.427 cubic inches b. 7.0686 cubic inches c. 6.1541cubic inches

Answer 42

b. 7.0686 cubic inches