Free Printable MATH & ENG ECO GENERAL EVALUATION EXAM

1.

Which of the following is the standard acceleration due to gravity in the English unit?

a)

980.66 fps^2

b)

32.2 fps^2

c)

9.8066 fps^2

d)

32.2 ips^2

2.

What is the value of 1 radian in degrees?

a)

89.55°

b)

57.3°

c)

60.3°

d)

45.58°

3.

How many degrees are 4800 mils?

a)

180°

b)

315°

c)

90°

d)

270°

4.

If the density of a gas is 0.003 slug/ft^3, what is the specific weight of the gas?

a)

15.2 N/m^3

b)

9.04 N/m^3

c)

98.2 N/m^3

d)

76.3 N/m^3

5.

If the specific weight of a liquid is 58.5 lb per cubic foot, what is the specific volume of the liquid?

a)

1.0675 cm^3/g

b)

0.5321 cm^3/g

c)

1.5502 cm^3/g

d)

0.9504 cm^3/g

6.

From a deck of ordinary cards, what is the probability of drawing a heart or face card?

a)

48.08%

b)

42.31%

c)

5.77%

d)

33.33%

7.

A perfect gas is expanded polytropically with an initial volume and temperature of 0.06 m^3 and 147°C respectively. If the final volume and temperature are 0.21 m^3 and 21°C respectively, what is the index of the expansion?

a)

1.285

b)

1.212

c)

1.333

d)

1.400

8.

If the loan was for 15 months at 16.8% interest a year and the repayment on a loan was P12,100.00, how much was the principal?

a)

P8,500.00

b)

P9,500.00

c)

P10,000.00

d)

P10,500.00

9.

Determine the accumulated value of P2,000.00 in 5 years if it is invested at 11% compounded quarterly.

a)

P3,440.00

b)

P3,404.00

c)

P3,044.00

d)

P4,304.00

10.

The sum of P15,000.00, deposited in an account earning 4% per annum compounded quarterly, will become P18,302.85. Determine the effective rate of interest per year.

a)

3.06 %

b)

4.06 %

c)

5.06 %

d)

6.06 %

11.

If a machine is purchased on installment and the buyer makes an P80,000.00 down payment and owes a balance of P150,000 in 2 years. Determine the machine cash value if money is worth 14% compounded quarterly.

a)

P199,312.00

b)

P183,912.00

c)

P193,912.00

d)

P139,912.00

12.

Find the number of years when P2,500.00 is compounded to P5,800.00 if invested at 12% compounded quarterly.

a)

6.12 years

b)

7.12 years

c)

8.12 years

d)

5.12 years

13.

What is the effective rate equivalent of 12% compounded quarterly?

a)

12.55%

b)

11.55 %

c)

12.98 %

d)

13 %

14.

What rate compounded-quarterly is equivalent to 14% compounded semi-annually?

a)

10.76 %

b)

11.76 %

c)

12.76 %

d)

13.76 %

15.

Celestino owes P500, due in 3 years and P800 due in 7 years. He is allowed to settle these obligations by a single payment on the 6th year. Find how much he has to pay on the 6th year if money is worth 14% compounded semi-annually.

a)

P1,449.12

b)

P1,559.12

c)

P1,339.12

d)

P1,669.12

16.

Cleofas borrowed P2,000.00 from a bank and agreed to pay the loan at the end of one year. The bank discounted the loan and gave him P1950 in cash. Determine the rate of discount.

a)

3.75 %

b)

3.12 %

c)

2.5 %

d)

1.2 %

17.

A machine was purchased under these terms: P30,000 down and P5,000 each month for 5 years. If money is worth 12% compounded monthly, what is the cash price of the machine?

a)

P144,775.19

b)

P245,775.19

c)

P542,775.91

d)

P254,775.19

18.

Determine the amount that must be deposited every 3 months in a fund paying 12% compounded quarterly in order to have P25,000.00 in 8 years.

a)

P746.71

b)

P476.17

c)

P674.71

d)

P700.00

19.

What is the value of 1 radian in degrees?

a)

89.55°

b)

57.3°

c)

60.3°

d)

45.58°

20.

How many degrees are 4800 mils?

a)

180°

b)

315°

c)

90°

d)

270°

21.

If the density of a gas is 0.003 slug/ft^3, what is the specific weight of the gas?

a)

15.2 N/m^3

b)

9.04 N/m^3

c)

98.2 N/m^3

d)

76.3 N/m^3

22.

If the specific weight of a liquid is 58.5 lb per cubic foot, what is the specific volume of the liquid?

a)

1.0675 cm^3/g

b)

0.5321 cm^3/g

c)

1.5502 cm^3/g

d)

0.9504 cm^3/g

23.

A force of 200 lb acts on a block at an angle of 28° with respect to horizontal. The block is pushed 2 ft horizontally. Find the work done by this force.

a)

480 J

b)

408 J

c)

840 J

d)

804 J

24.

The atomic weight of hydrogen is 1 gram per gram-atom. What is the mass of a hydrogen atom?

a)

1.66 × 10^{-24} g/atom

b)

6.02 × 10^{-23} g/atom

c)

1 g/atom

d)

The mass is too small to calculate

25.

A truck starts from rest and moves with a constant acceleration of 6 m/s^2. Find the speed of the truck after 4 seconds.

a)

18 m/s

b)

28 m/s

c)

24 m/s

d)

35 m/s

26.

A car starts from rest and has a constant acceleration of 3 fps^2. Determine the average velocity during the first 10 seconds of motion.

a)

15 fps

b)

20 fps

c)

12 fps

d)

18 fps

27.

A ball is dropped from a height of 60 meters above ground. How long does it take to hit the ground?

a)

4.5 seconds

b)

3.5 seconds

c)

2.5 seconds

d)

1.5 seconds

28.

A 5 meter extension ladder leans against the wall; the bottom is 3 m from the wall. If the bottom stays at the same place, how much should the ladder be extended so that the top would lean against the wall 1 meter higher?

a)

1.2 m

b)

1.5 m

c)

0.5 m

d)

0.83095 m

29.

If a stone dropped from a balloon while ascending at the rate of 7.5 m/s reaches the ground in 6 seconds, what was the height of the balloon when the stone was dropped?

a)

110.12 m

b)

120.25 m

c)

131.81 m

d)

140.12 m

30.

The salary of an employee’s job has five levels, each one 5% greater than the one below it. Due to circumstances, the salary of the employee must be reduced from the top (fifth) level to the second level, which means a reduction of P3000.00 per month. What is the employee’s present salary per month?

a)

P22,032.50

b)

P23,022.50

c)

P22,320.50

d)

P22,302.50

31.

Determine the value of each interior angle of a regular pentagon.

a)

108°

b)

120°

c)

98°

d)

135°

32.

A cubical container that measures 50.8 mm on a side is tightly packed with eight marbles and is filled with water. All eight marbles are in contact with the walls of the container and the adjacent marbles. All of the marbles are the same size. What is the volume of water in the container?

a)

131 096.51 mm³

b)

62 454.54 mm³

c)

68 641.97 mm³

d)

131 960.51 mm³

33.

What is the determinant of the 2 x 2 matrix, ( 7 6 ; 5 9 )?

a)

− 33

b)

33

c)

− 43

d)

43

34.

What is the determinant of the 3 x 3 matrix, ( 1 2 −1 ; 2 −1 1 ; 1 1 1 )?

a)

6

b)

7

c)

− 6

d)

− 7

35.

What is the inverse of the 2 x 2 matrix, A = ( cos θ − sin θ ; sin θ cos θ )?

a)

( cos θ sin θ ; − sin θ cos θ )

b)

( cos θ − sin θ ; sin θ cos θ )

c)

( − cos θ sin θ ; sin θ cos θ )

d)

( cos θ sin 0 ; 0 sin² θ )

36.

The equation y = a1 + a2x is an algebraic expression for which of the following choices?

a)

A cosine expansion series

b)

A circle in polar form

c)

Projectile motion

d)

A straight line

37.

Determine the absolute value of resultant vector of the following vectors: F1 = 4i + 7j + 6k; F2 = 9i + 2j + 11k, F3 = 5i − 3j − 8k.

a)

21

b)

18

c)

25

d)

9

38.

Given the following vectors: A = 3i + 2j, B = 2i + 3j + k, C = 5i + 2k. Simplify the expression (A x B) . C.

a)

20

b)

0

c)

60i + 24k

d)

5i + 2k

39.

Determine the rationalized value of the complex number (6 + 2.5i) / (3 + 4i).

a)

1.12 − 0.66i

b)

0.32 − 0.66i

c)

− 32 + 0.66i

d)

− 1.12 + 0.66i

40.

Determine the first derivative with respect to x of the function: g(x) = $\sqrt{5^{10} - 35}$ .

a)

3/4

b)

0

c)

$4(9)^{(3/4)}$

d)

35

41.

Determine the slope of the curve y = −x² at the point (2, 3).

a)

4

b)

−4

c)

2

d)

−2

42.

What is the sum of the roots of the equation: 2x² + 5x + 5 = 0?

a)

− 2.5

b)

2.5

c)

2.25

d)

− 2.25

43.

Determine the distance traveled by a particle between a time interval of 0.2 second to 0.3 second if its velocity is $12t^4 + \frac{7}{t}$ , where V is in cm/s and t is in seconds.

a)

3.75 cm

b)

2.84 cm

c)

2.75 cm

d)

3.84 cm

44.

A force of 200 lb acts on a block at an angle of 28° with respect to horizontal. The block is pushed 2 ft horizontally. Find the work done by this force.

a)

480 J

b)

408 J

c)

840 J

d)

804 J

45.

The atomic weight of hydrogen is 1 gram per gram-atom. What is the mass of a hydrogen atom?

a)

1.66 × 10^{-24} g/atom

b)

6.02 × 10^{-23} g/atom

c)

1 g/atom

d)

The mass is too small to calculate

46.

A truck starts from rest and moves with a constant acceleration of 6 m/s^2. Find the speed of the truck after 4 seconds.

a)

18 m/s

b)

28 m/s

c)

24 m/s

d)

35 m/s

47.

A car starts from rest and has a constant acceleration of 3 fps^2. Determine the average velocity during the first 10 seconds of motion.

a)

15 fps

b)

20 fps

c)

12 fps

d)

18 fps

48.

A ball is dropped from a height of 60 meters above ground. How long does it take to hit the ground?

a)

4.5 seconds

b)

3.5 seconds

c)

2.5 seconds

d)

1.5 seconds

49.

A 5 meter extension ladder leans against the wall; the bottom is 3 m from the wall. If the bottom stays at the same place, how much should the ladder be extended so that the top would lean against the wall 1 meter higher?

a)

1.2 m

b)

1.5 m

c)

0.5 m

d)

0.83095 m

50.

If a stone dropped from a balloon while ascending at the rate of 7.5 m/s reaches the ground in 6 seconds, what was the height of the balloon when the stone was dropped?

a)

110.12 m

b)

120.25 m

c)

131.81 m

d)

140.12 m

51.

The salary of an employee’s job has five levels, each one 5% greater than the one below it. Due to circumstances, the salary of the employee must be reduced from the top (fifth) level to the second level, which means a reduction of P3000.00 per month. What is the employee’s present salary per month?

a)

P22,032.50

b)

P23,022.50

c)

P22,320.50

d)

P22,302.50

52.

Determine the value of each interior angle of a regular pentagon.

a)

108°

b)

120°

c)

98°

d)

135°

53.

What is the determinant of the 2 × 2 matrix [7 6; 5 9]?

a)

−33

b)

33

c)

−43

d)

43

54.

What is the determinant of the 3 × 3 matrix [1 2 −1; 2 −1 1; 1 1 1]?

a)

6

b)

7

c)

−6

d)

−7

55.

What is the inverse of the 2 × 2 matrix A = [cos θ −sin θ; sin θ cos θ]?

a)

[cos θ sin θ; −sin θ cos θ]

b)

[cos θ −sin θ; sin θ cos θ]

c)

[−cos θ sin θ; sin θ cos θ]

d)

$[cos θ sin θ; 0 sin^2 θ]$

56.

The equation $y = a_1 + a_2 x$ is an algebraic expression for which of the following choices?

a)

A cosine expansion series

b)

A circle in polar form

c)

Projectile motion

d)

A straight line

57.

Determine the absolute value of resultant vector of the following vectors: F1 = 4i + 7j + 6k; F2 = 9i + 2j + 11k; F3 = 5i − 3j − 8k.

a)

21

b)

18

c)

25

d)

9

58.

Given the following vectors: A = 3i + 2j, B = 2i + 3j + k, C = 5i + 2k. Simplify the expression (A × B) · C.

a)

20

b)

0

c)

60i + 24k

d)

5i + 2k

59.

Determine the rationalized value of the complex number (6 + 2.5i) / (3 + 4i).

a)

1.12 − 0.66i

b)

0.32 − 0.66i

c)

−32 + 0.66i

d)

−1.12 + 0.66i

60.

Determine the first derivative with respect to x of the function: g(x) = 5√10 − 35.

a)

1/4

b)

0

c)

$3/(49)^{3/4}$

d)

35

61.

Determine the slope of the curve $y = -x^2$ at the point (2, 3).

a)

4

b)

−4

c)

2

d)

−2

62.

What is the sum of the roots of the equation: $2x^2 + 5x + 5 = 0$ ?

a)

−2.5

b)

2.5

c)

2.25

d)

−2.25

63.

Determine the distance traveled by a particle between a time interval of 0.2 second to 0.3 second if its velocity is $v = 12t^4 + \tfrac{7}{t}$ , where v is in cm/s and t is in seconds.

a)

3.75 cm

b)

2.84 cm

c)

2.75 cm

d)

3.84 cm

64.

Compute the arithmetic mean of the following set of numbers: 18, 24, 27, 30, 35, 42, 50.

a)

31.82

b)

32.29

c)

30

d)

29.96

65.

Find the root mean square of 11, 23, and 35.

a)

25

b)

27

c)

26

d)

24

66.

Five years ago the father is three times as old as his son. Ten years from now, the father will be twice as old as his son. How old is the son twelve years from now?

a)

32 years old

b)

20 years old

c)

50 years old

d)

38 years old

67.

From the top of tower A, the angle of elevation of the top of tower B is 46°. From the foot of tower B the angle of elevation of the top of tower A is 28°. Both towers are on a level ground. If the height of tower B is 120 m, how high is tower A?

a)

40.7 m

b)

44.1 m

c)

42.3 m

d)

38.6 m

68.

Determine the value of $\int_{-1}^{1} (x^3 + x^5 + \sin x)\,dx$ .

a)

0

b)

1.75

c)

3.1416

d)

infinity

69.

Determine the distance between the foci of a hyperbola if the lengths of the transverse and conjugate axes are 10 m and 8 m, respectively.

a)

20.8 m

b)

12.8 m

c)

13.8 m

d)

25.6 m

70.

Think of a number. Double the number. Subtract 6 from the result and divide the answer by 2. The quotient will be 20. What is the number you think?

a)

12

b)

20

c)

23

d)

32

71.

Determine the absolute value of the resultant vector of the following vectors: $\mathbf{F}_1 = 4\,\mathbf{i} + 7\,\mathbf{j} + 6\,\mathbf{k};\ \mathbf{F}_2 = 9\,\mathbf{i} + 2\,\mathbf{j} + 11\,\mathbf{k};\ \mathbf{F}_3 = 5\,\mathbf{i} - 3\,\mathbf{j} - 8\,\mathbf{k}$ .

a)

21

b)

18

c)

25

d)

9

72.

An Electrical Engineer obtained a loan of P50,000.00 at the rate of 6% compounded annually in order to repair his mistress’ house. How much must the Electrical Engineer pay monthly to amortize the loan within a period of ten years?

a)

P605.20

b)

P550.90

c)

P505.90

d)

P508.90

73.

Determine the diameter of a circle, $x^2 + y^2 - 6x + 4y - 12 = 0$ .

a)

9 units

b)

11 units

c)

12 units

d)

10 units

74.

What is the present value of P5,000.00 due in 8 years if money is worth 12% compounded semi-annually?

a)

P1,896.23

b)

P1,869.23

c)

P1,968.23

d)

P1,968.23

75.

How many permutation can be made out of the letters of the word ENGINEERING?

a)

277 200

b)

272 700

c)

200 277

d)

227 700

76.

If vector A is 10 units and vector B, which makes 60° with vector A, is 20 units. What is the difference of vectors A and B?

a)

15.34 units

b)

13.45 units

c)

18.76 units

d)

17.32 units

77.

From a deck of ordinary cards, what is the probability of drawing a heart or face card?

a)

48.08%

b)

42.31%

c)

5.77%

d)

33.33%

78.

A perfect gas is expanded polytropically with an initial volume and temperature of 0.06 m^3 and 147 °C respectively. The final volume and temperature are 0.21 m^3 and 21 °C respectively. What is the index of the expansion?

a)

1.285

b)

1.212

c)

1.333

d)

1.400

79.

If the loan was for 15 months at 16.8% interest a year and the repayment on a loan was P12,100.00, how much was the principal?

a)

P8,500.00

b)

P9,500.00

c)

P10,000.00

d)

P10,500.00

80.

Determine the accumulated value of P2,000.00 in 5 years if it is invested at 11% compounded quarterly.

a)

P2,968.00

b)

P3,440.00

c)

P3,024.00

d)

P4,304.00

81.

The sum of P15,000.00, deposited in an account earning 4% per annum compounded quarterly, will become P18,302.85. Determine the effective rate of interest per year.

a)

3.06 %

b)

4.06 %

c)

5.06 %

d)

6.06 %

82.

If a machine is purchased on installment and the buyer makes an P80,000.00 down payment and owes a balance of P150,000 in 2 years. Determine the machine cash value if money is worth 14% compounded quarterly.

a)

P199,312.00

b)

P183,912.00

c)

P193,912.00

d)

P139,912.00

83.

Find the number of years when P2,500.00 is compounded to P5,800.00 if invested at 12% compounded quarterly.

a)

6.12 years

b)

7.12 years

c)

8.12 years

d)

5.12 years

84.

What is the effective rate equivalent of 12% compounded quarterly?

a)

12.55%

b)

11.55%

c)

12.98%

d)

13%

85.

What rate compounded-quarterly is equivalent to 14% compounded semi-annually?

a)

10.76%

b)

11.76%

c)

12.76%

d)

13.76%

86.

Celestino owes P500, due in 3 years and P800 due in 7 years. He is allowed to settle these obligations by a single payment on the 6th year. Find how much he has to pay on the 6th year if money is worth 14% compounded semi-annually.

a)

P1,449.12

b)

P1,559.12

c)

P1,339.12

d)

P1,669.12

87.

Cleofas borrowed P2,000.00 from a bank and agreed to pay the loan at the end of one year. The bank discounted the loan and gave him P1,950.00 in cash. Determine the rate of discount.

a)

3.75%

b)

3.12%

c)

2.5%

d)

1.2%

88.

A machine was purchased under these terms: P30,000 down and P5,000 each month for 5 years. If money is worth 12% compounded monthly, what is the cash price of the machine?

a)

P144,775.19

b)

P245,775.19

c)

P542,775.91

d)

P254,775.19

89.

Determine the amount that must be deposited every 3 months in a fund paying 12% compounded quarterly in order to have P25,000 in 8 years.

a)

P746.71

b)

P476.17

c)

P674.71

d)

P700.00

90.

What is the acid test ratio?

a)

The ratio of owner’s equity to total current liabilities

b)

The ratio of all assets to actual current liabilities

c)

The ratio of current assets (exclusive of inventory) to the total current liabilities

d)

The ratio of gross margin to operating, sales, and administrative expenses

91.

How do call an energy required to move 1 Coulomb of charge through an element?

a)

Current

b)

Voltage

c)

Power

d)

Resonance

92.

This is a number sequence where the succeeding term is obtained by adding the last pair of preceding terms such as the sequence (1, 1, 2, 3, 5, 8 ...). How do you call this number sequence?

a)

Euler’s number

b)

Fermat number

c)

Fibonacci number

d)

Fourier series

93.

If the roots of an equation are zero, then, how do you classify the solutions?

a)

Extraneous solutions

b)

Trivial solutions

c)

Conditional solutions

d)

Ambiguous solutions

94.

In electric, how do you call the rate of charge flow?

a)

Potential difference

b)

Current

c)

Voltage

d)

Power

95.

This law in electrical circuits states, “The algebraic sum of currents entering a node (or a closed boundary) is zero”. How do you call this law?

a)

Kirchhoff’s current law

b)

Ohm’s current law

c)

Kirchhoff’s voltage law

d)

Ohm’s voltage law

96.

This law in electrical circuits state, “The algebraic sum of all voltages around a closed path (or loop) is zero”. How do you call this law?

a)

Kirchhoff’s current law

b)

Ohm’s current law

c)

Kirchhoff’s voltage law

d)

Ohm’s voltage law

97.

In electrical, what is the SI unit of conductance?

a)

Ohm

b)

Mho

c)

Siemens

d)

Ampere

98.

Which of the following is the equivalent of 1 Ampere?

a)

1 Coulomb per second

b)

1 Joule per Coulomb

c)

1 Volt per Ampere

d)

1 Ampere per Coulomb

99.

This is the process of expressing a polynomial as the product of another polynomial or monomial of lower degree. What is this mathematical process?

a)

Decomposition

b)

Rationalization

c)

Factoring

d)

Polynomial damping

100.

This is a point where the concavity of a curve changes or when the slope of the curve is neither increasing nor decreasing. What is this point commonly called?

a)

Maximum point

b)

Minimum point

c)

Point of tangency

d)

Point of inflection

101.

How do you call the axis of the hyperbola that passes through the center, the foci and vertices?

a)

Transverse axis

b)

Conjugate Axis

c)

Asymptotic axis

d)

Major Axis

102.

What is a number, which could not be expressed as a quotient of two integers?

a)

Natural

b)

Rational

c)

Irrational

d)

Surd

103.

How do you call the opposite of the prefix nano?

a)

Peta

b)

Tera

c)

Giga

d)

Hexa

104.

What do you call a triangle having three unequal sides?

a)

Obtuse

b)

Oblique

c)

Scalene

d)

Isosceles

105.

How do you call the distance of a point from the y-axis?

a)

Polar distance

b)

Coordinate

c)

Abscissa

d)

Ordinate

106.

This is the measure of central tendency defined as the most frequent score. How do you call this measure of central tendency?

a)

Median

b)

Mode

c)

Mean

d)

Deviation

107.

Which of the following is the equivalent of 1 mil?

a)

One-tenth of an inch

b)

One-thousandth of an inch

c)

One millionth of an inch

d)

One-half of an inch

108.

A polygon with ten sides is said to be:

a)

Dodecagon

b)

Decagon

c)

Decahedron

d)

Dodecahedron

109.

Any number expressed in place-value notation with base 12 is known as:

a)

Duodecimal

b)

Deontic

c)

Decile

d)

Dedekind

110.

Another name for derivative is said to be:

a)

Differential manifold

b)

Partial derivative

c)

Differential form

d)

Differential coefficient

111.

Another term for rhombus is said to be:

a)

Dichotomy

b)

Diamond

c)

Cyclic quadrilateral

d)

Bi-rectangular

112.

A prefix denoting a multiple of ten times any of the physical units of the system international.

a)

Deka

b)

Nano

c)

Hecto

d)

Exa

113.

The father of plane geometry.

a)

Euclid

b)

Pythagoras

c)

Aristotle

d)

Galileo

114.

This is the case of a solution of a plane triangle where the given data leads to two solutions. How do you call this case?

a)

Ambiguous case

b)

Quadratic case

c)

Extraneous case

d)

Conditional case

115.

It is a type of polygon in which each interior angle must be less than or equal to 180°, and all vertices 'point outwards' away from the interior. How do you call this polygon?

a)

Concave polygon

b)

Convex polygon

c)

Regular polygon

d)

Irregular polygon

116.

It is a series of equal payments occurring at equal intervals of time where the first payment is made after several periods, after the beginning of the payment. How do you call this payment?

a)

Deferred annuity

b)

Delayed annuity

c)

Progressive annuity

d)

Simple annuity

117.

What do you think is the negotiation of wage rates, conditions of employment, etc. by representatives of the labor force and management?

a)

Union trade

b)

Union rally

c)

Collective bargaining

d)

Cooperative

118.

How do you call a type of bond where the corporation’s owner name is recorded and the interest is paid periodically to the owners with their asking for it?

a)

Registered bond

b)

Preferred bond

c)

Incorporator’s bond

d)

Bail bond

119.

How do you call the integral of any quotient whose numerator is the differential of the denominator?

a)

Co-logarithm

b)

Logarithm

c)

Product

d)

Derivative

120.

What is a regular polygon that has 27 diagonals?

a)

Nonagon

b)

Hexagon

c)

Pentagon

d)

Heptagon

121.

How do you call the formula used to compute the value of n factorial, which is in symbolic form $n!$ , where $n$ is large number?

a)

Matheson formula

b)

Diophantine formula

c)

Richardson-Duchman formula

d)

Stirling’s Approximation

122.

What is the reason why an ivory soap floats in water?

a)

All matter has mass

b)

The specific gravity of ivory soap is greater than that of water

c)

The density of ivory soap is unity

d)

The specific gravity of ivory soap is less than that of water

123.

When two planes intersect with each other, the amount of divergence between the two planes is expressed by measuring the:

a)

Reflex angle

b)

Dihedral angle

c)

Polyhedral angle

d)

Plane angle

124.

What do you think is the output or sales at which income is insufficient to equal operating cost?

a)

Break even point

b)

Depreciation

c)

Investment

d)

Cash flow

125.

What is an estimate of assets’ net market value at the end of its estimated life?

a)

Book value

b)

Depreciation

c)

Salvage value

d)

Cash flow

126.

What do you think is the lessening of the value of an asset due to a decrease in the quantity available as a coal, oil and timber in forests?

a)

Depletion

b)

Amortization

c)

Depreciation

d)

Investment

127.

What can you say about the present worth of all depreciation over the economic life of the item?

a)

Maintenance

b)

Capital recovery

c)

Depreciation recovery

d)

Annuity

128.

What do you think is the provision in the contract that indicates the possible adjustment of material cost and labor cost?

a)

Secondary clause

b)

Specification

c)

Escalatory clause

d)

General provision

129.

This is the process of determining the value of certain property for specific reasons. Guess, what is this?

a)

Amortization

b)

Investment

c)

Appraisal

d)

Depreciation

130.

How do you call those products or services that are directly used by people to satisfy their wants?

a)

Consumer goods and services

b)

Producer goods and services

c)

Necessity products and services

d)

Luxury products and services

131.

These are used to produce consumer goods and services. Guess, what are these?

a)

Consumer goods and services

b)

Producer goods and services

c)

Necessity products and services

d)

Luxury products and services

132.

What do you think are those products or services that are required to support human life and activities that will be purchased in somewhat the same quantity even though the price varies considerably?

a)

Consumer goods and services

b)

Producer goods and services

c)

Necessity products and services

d)

Luxury products and services

133.

How do you call a cylinder with elliptical cross section?

a)

Ellipsoid

b)

Cylindroid

c)

Hyperboloid

d)

Paraboloid

134.

How do you call a market whereby there is only one buyer of an item for which there are no goods substitutes?

a)

Monopoly

b)

Monopsony

c)

Oligopoly

d)

Oligopsony

135.

Which statement about a charge placed on a dielectric material is true?

a)

The charge increases the conductivity of the material

b)

The charge is confined to the region in which the charge was placed.

c)

The charge is immediately lost to the atmosphere

d)

The charge is instantly carried to the material’s surface

136.

Which of the following is not a property of magnetic field lines?

a)

Magnetic field lines have no beginnings and no ends

b)

The lines cross themselves only at right angles

c)

The line intersect surfaces of equal intensity at right angles

d)

The field is stronger where the lines are closer together

137.

Tesla is a unit of which of the following?

a)

Magnetic induction

b)

Inductance

c)

Capacitance

d)

Magnetic flux

138.

What is a pole pitch?

a)

The angle at which the pole windings are wound

b)

The space on the stator allocated to two poles

c)

The space on the stator allocated to one pole

d)

The mica used to insulate the poles from each other

139.

How do you call a polygon with 10 000 sides?

a)

Hecotgon

b)

Chilliagon

c)

Myriagon

d)

Octacontagon

140.

Any line segment joining a vertex of a triangle to a point on the opposite side is called as:

a)

Newton line

b)

Secant

c)

Cevian

d)

Euclidian line

141.

It is any influence capable of producing a change in the motion of an object.

a)

Force

b)

Acceleration

c)

Friction

d)

Velocity

142.

How do you call the amount needed at the beginning of operations and permits the enterprise to begin functioning before it receives any income from the sales of its product or service.

a)

Initial working capital

b)

Regular working capital

c)

Equity

d)

Annuity

143.

In the problem of writing the equation of a certain curve with respect to another axes in which the new axes are parallel to the original axes and similarly directed is known as:

a)

Translation of axes

b)

Reversal of axes

c)

Notation of axes

d)

Relocation of axes

144.

How do you call a ring shaped surface or solid obtained by rotating a circle about a coplanar line that does not intersect?

a)

Torus

b)

Annulus

c)

Cireoloid

d)

Annular

145.

If the eccentricity is less than one, then curve is known as:

a)

Ellipse

b)

Hyperbola

c)

Parabola

d)

Circle

146.

Determine the outside diameter of a hollow steel tube that will carry a tensile load of $500\ \text{kN}$ at a stress of $140\ \text{MPa}$ . Assume the wall thickness to be one-tenth of the outside diameter.

a)

123 mm

b)

103 mm

c)

113 mm

d)

93 mm

147.

What can you say to the following statement: "the volume of a circular cylinder is equal to the product of its base and altitude."?

a)

Postulate

b)

Corollary

c)

Theorem

d)

Axiom

148.

What is the study of the properties of figures of three dimensions?

a)

Physics

b)

Solid geometry

c)

Plane geometry

d)

Trigonometry

149.

A type of bond, without any security behind them except a promise to pay by the issuing corporation is known as:

a)

Collateral trust bond

b)

Mortgage bond

c)

Debenture bond

d)

Joint bond

150.

A situation whereby payment is made for work not done. The term also applies to the case where more workers are used than a reasonable requirement for efficient operation.

a)

Downtime pay

b)

Check-in-pay

c)

Feather bidding

d)

Moon lighting

MATH & ENG ECO GENERAL EVALUATION EXAM

Total questions: 150

Worksheet time: 1hrs 15mins

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