Mathematics (1) Flashcards

1
Q

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

A

b. 75

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2
Q

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

a. 32
b. 64
c. 20

A

a. 32

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3
Q

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

A

a. 1

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4
Q

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

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

A

a. 1/16

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5
Q

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

a. 0.2065
b. 0.4844
c. 0.3164

A

b. 0.4844

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6
Q

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

A

c. 1:1.8

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7
Q

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

A

a. 349.24

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8
Q

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

A

a. 11/64

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9
Q

Express 7/8 as a percent.

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

A

c. 87.5 percent

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10
Q

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.

A

a. 1.63x10 to the fourth power.

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11
Q

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

A

a. 200 cubic inches

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12
Q

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

A

a. 81

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13
Q

1.21875 is equal to

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

A

c. 39/32

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14
Q

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.

A

c. 20 inches x25-9/64 inches.

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15
Q

Solve the equation.

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

a. 82
b. -25
c. -71

A

a. 82

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16
Q

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

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

A

c. .0419

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17
Q

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

a. -332
b. 216
c. -96

A

c. -96

18
Q

What is the ratio of 10 feet to 30 inches?

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

A

a. 4:1

19
Q

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

a. 0.000001
b. 0.000010
c. 0.0001

A

a. 0.000001

20
Q

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

A

a. 75.9 percent

21
Q

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

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

A

b. 6 square inches

22
Q

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.

A

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

23
Q

Select the fraction which is equal to 0.0250.

a. ¼
b. 1/40
c. 1/400

A

b. 1/40

24
Q

Find the square root of 1824

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

A

a. 42.708x10 to the negative second power

25
Q

Find the square root of 1746

a. 41.7852
b. 41.7752
c. 40.7742

A

a. 41.7852

26
Q

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

A

c. $130.00

27
Q

Find the square root of 3,722.1835

a. 61.00971
b. 61.00
c. 61.0097

A

c. 61.0097

28
Q

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

A

a. 5625 inch

29
Q

Find the cube of 64

a. 4
b. 192
c. 262, 144

A

c. 262, 144

30
Q

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.

A

b. 315.375 sq. in.

31
Q

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

A

b. 8.83

32
Q

Solve the equation
(√100 + √36 − √16=

a. 12
b. 60
c. 76

A

a. 12

33
Q

Sixty-five engines are what percent of 80 engines?

a. 81 percent
b. 65 percent
c. 52 percent

A

a. 81 percent

34
Q

Solve the equation
(−35 + 25)(−7) + (𝜋)(16)^−2 (divided by)
√25

a. 174.85
b. 68.037
c. 14.002

A

c. 14.002

35
Q

Convert the binary number 1111 to decimal form.

a. 14
b. 15
c. 16

A

b. 15

36
Q

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

A

a. 5:7

37
Q

What is defined as a group of bits representing a complete piece of information?

a. Byte
b. Bit
c. Word

A

a. Byte

38
Q

Solve the equation.
(64x3/8) ÷ ¾ =

a. 18
b. 24
c. 32

A

c. 32

39
Q

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

A

c. 10 to the ninth power

40
Q

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

A

c. 6:1

41
Q

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

A

c. 200

42
Q

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

A

b. 7.0686 cubic inches