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ESAS > MATH > Flashcards

MATH Flashcards

1
Q

What is the cost of candy in the game?

A

40

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2
Q

What is the chance of not winning in the carnival game?

A

15/16

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3
Q

What is the chance of winning in the carnival game?

A

1/16

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4
Q

What is the velocity of wind when Kevin travels from LA to San Francisco?

A

20 mph

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5
Q

What is the airspeed of the plane in the same journey?

A

170 mph

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6
Q

What is the standard deviation of the recognized voices?

A

1.34

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7
Q

What is the mean of the recognized voices?

A

2

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8
Q

The probability of a student studying less than 6 hours is ______.

A

0.09

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9
Q

What is the probability of choosing a positive senior high student?

A

1/8

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10
Q

If the height is 50 feet, what is the distance traveled before coming to rest?

A

250 ft

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11
Q

What is the maximum value of 3sin(x)?

A

3

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12
Q

What is the maximum area of a rectangle with sides parallel to axes?

A

1250

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13
Q

What is the average cancellation rate for hotel reservations?

A

0.4096

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14
Q

What is the total number of cases for XYZ Corporation?

A

2,334 cases

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15
Q

What is the harmonic mean of the given values?

A

6.4

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16
Q

The probability of having fewer than 2 cancellations is ______.

A

0.8192

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17
Q

What is the age of Kim?

A

5 yrs

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18
Q

At what distance is the Manila to Baguio journey?

A

114.58 km

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19
Q

What is the sum of the ages of Ben’s parents if it is twice the sum of the children’s ages?

A

Twice the sum of ages

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20
Q

What is the cancellation probability for more than 8 but less than 12?

A

0.000784

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21
Q

What is the area of a tetrahedron with base b?

A

√3 b²

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22
Q

What is the radius of curvature at point P(4,4)?

A

22.36

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23
Q

The maximum volume for post office mailing is ______.

A

959.26 cu. in

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24
Q

What is the volume of a tetrahedron?

A

√2/12 b³

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25
Q

What is the probability of having at least 4 students who do not recognize?

A

0.957

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26
Q

The equation of a hyperbola in the given context is ______.

A

Gx² – 4y² + 54x + 8y – 247 = 0

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27
Q

Fill in the blank: The maximum fencing area for 20ft is ______.

A

100

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28
Q

What is the probability of a student studying between 6.5 and 8.5 hours?

A

47.91%

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29
Q

What is the maximum volume of a cylindrical can with 1000 cm³?

A

5.42 cm

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30
Q

What is the time it takes for Jun to row his banca across a width of 0.25 km?

A

3.75 min

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31
Q

What is the angle of elevation for the pilot flying at a bearing of 63.3°?

A

101 mph

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32
Q

The time for a pebble dropped to reach the ground is approximately ______.

A

125.88 in²/sec

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33
Q

The area bounded by the parabola x²=8y and its latus rectum is ______.

A

16/3 s.u.

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34
Q

What is the average heart rate of a person mentioned?

A

171

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35
Q

What is the probability of randomly choosing a negative senior high student?

A

1/7

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36
Q

The distance traveled in a carnival game is ______.

A

90

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37
Q

What is the total number of layers in the pile of logs?

A

14

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38
Q

The area bounded by r² = 16 cos(θ) is ______.

A

32 sq units

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39
Q

What is the formula for the area of a circle with radius a?

A

A = πa²

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40
Q

What is the speed of a point on a circle with a radius of 10 ft and a radius of 8 ft?

A

5/3 ft/s

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41
Q

What is the percentage of the volume of a cone that is also inside a cylinder?

A

44%

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42
Q

What is Newton’s Law of Cooling?

A

T(t) = T_ambient + (T_initial - T_ambient)e^(-kt)

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43
Q

What is the formula for the area of a hypocycloid?

A

Area = 3πa²

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44
Q

What is the length of the arch of a parabola described by the equation x² = 4y?

A

4.6

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45
Q

What is the largest rectangle inscribed in an ellipse with area 4?

A

4

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46
Q

What is the formula for the length of the shortest line segment connecting two points a and b?

A

a + b

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47
Q

What is the breadth of a rectangle if its area is given by 2a?

A

2a/π

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48
Q

What is the longest path in a circle of radius R?

A

2πR

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49
Q

What is the cross-section of a shape with area 12√2?

A

12√2

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50
Q

What is the ratio of the surface area of a sphere to its volume?

A

3/R

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51
Q

What is the definition of concentric circles?

A

Circles with the same center but unequal radii

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52
Q

What is a cylinder with an elliptical cross-section called?

A

Cylindroid

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53
Q

What is the term for a line segment joining two points?

A

Chord

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54
Q

What is the formula for the probability of the union of two mutually exclusive events?

A

P(A ∪ B) = P(A) + P(B)

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55
Q

What is the special rule of multiplication for independent events?

A

P(A ∩ B) = P(A) ∙ P(B)

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56
Q

What is the empirical rule for a normal distribution?

A

68% of data within 1 standard deviation

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57
Q

What is the significance of the values P(1), P(2), and P(3) in a normal distribution?

A

P(1) - P(-1) = 68%, P(2) - P(-2) = 95%, P(3) - P(-3) = 99.7%

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58
Q

What is the term for the distance of a point from the y-axis?

A

Abscissa

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59
Q

What is the term for the distance of a point from the x-axis?

A

Ordinate

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60
Q

What is the dot product of two vectors?

A

Magnitude of one vector times magnitude of the other times cos(θ)

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61
Q

What is the cross product of two vectors?

A

Magnitude of one vector times magnitude of the other times sin(θ)

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62
Q

What is the maximum shearing stress formula for a beam with breadth b, height h, and volume V?

A

3V/bh

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63
Q

What is the density of an iceberg in fresh water?

A

G17 kg/m³

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64
Q

What percentage of the human body will float in fresh water?

A

2%

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65
Q

What is the relationship between the lengths of the sides of a triangle in the context of a ladder?

A

3.67m for a 6m ladder at 50°

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66
Q

What is the formula for calculating the pressure at a certain height in a fluid?

A

P = pgh

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67
Q

What is the definition of laminar flow?

A

Fluid flow in parallel layers with minimal disruption

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68
Q

What is the definition of turbulent flow?

A

Fluid flow characterized by chaotic changes in pressure and flow velocity

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69
Q

What is the purpose of a Pitot tube?

A

Fluid velocity measurement

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70
Q

What is the purpose of a manometer?

A

Measure pressure

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71
Q

What does a barometer measure?

A

Air pressure

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72
Q

What is the purpose of a hygrometer?

A

Measure relative humidity

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73
Q

What is the formula for the effective value (RMS) of an AC voltage?

A

RMS = V_peak/√2

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74
Q

What is the significance of a power factor of unity?

A

Reactive power is zero

75
Q

What happens to speed when the frequency of an induction motor increases?

A

Speed increases

76
Q

What is the formula for the moment diagram under a uniform distributed load?

A

Parabolic

77
Q

What is the formula for the moment at the midpoint under a concentrated load?

A

WL/4

78
Q

What is the purpose of a reverse power relay?

A

Prevent motorizing of generator

79
Q

What is the term for a transformer that converts two-phase to three-phase?

A

Scott-T transformer

80
Q

What is the term for the driving source of voltage for fault analysis?

A

I pu

81
Q

Which law states the conservation of charge?

A

KCL

82
Q

What law describes the conservation of energy?

A

KVL

83
Q

What is the minimum size of conductor for lighting?

A

2.0 mm²

84
Q

Fill in the blank: The maximum ampacity for motor load is _____

A

1.25

85
Q

What is the PEC 2009 based on?

A

NEC 2005

86
Q

What does the term ‘auto transformer’ refer to?

A

One winding transformer

87
Q

True or False: An ideal transformer includes zero reactance of the winding.

A

True

88
Q

What is the typical load rating?

A

1

89
Q

What is the minimum size connected to a 40A circuit?

A

5.5 mm²

90
Q

What are the two types of capital costs associated with load?

A
  • High Capital Cost, Low Operating Cost (HCC, LOC)
  • Low Capital Cost, High Operating Cost (LCC, HOC)
91
Q

What type of communication allows only one party to interrupt?

A

Half Duplex

92
Q

What is the maximum time for current in a circuit?

A

T/4

93
Q

What is the eccentricity of a circle?

A

0

94
Q

Define the term ‘parabola’.

A

Locus of a point which moves such that the distance from a fixed point called focus and a fixed line called directrix are equal.

95
Q

What is the definition of an ellipse?

A

Locus of a point which moves so that the sum of the distances from two fixed points called foci is constant.

96
Q

What is the relationship of constants in an ellipse?

A

a² = b² + c²

97
Q

What defines a hyperbola?

A

Locus of point which moves such that the difference of its distances from two fixed points is constant.

98
Q

What is the definition of a conic section?

A

A curve obtained as the intersection of a cone with a plane.

99
Q

What is the critical point in thermodynamics?

A

Liquid and gas phases become indistinguishable.

100
Q

What is the boiling point?

A

Temperature at which liquid turns into vapor.

101
Q

What are the three legs of the fire triangle?

A
  • Energy
  • Oxygen
  • Fuel
102
Q

What is the voltage level for Extra Low Voltage (ELV)?

A

Below 50 VAC or 120 VDC

103
Q

What is the maximum ampacity for a branch circuit?

A

3%

104
Q

What is the formula for the compound amount factor?

A

(1+i)^n

105
Q

What is the unit of measurement for energy?

A

Joule

106
Q

What is the conversion factor for 1 angstrom?

A

10^-10 m

107
Q

What is the definition of isobars?

A

Constant pressure

108
Q

What is the major axis of an ellipse?

A

Longest diameter of the ellipse, usually denoted by ‘a’.

109
Q

What is the definition of valence electrons in a conductor?

A

Less than 4

110
Q

What is the definition of a monopsony?

A

Many buyers and one seller

111
Q

Fill in the blank: The ideal gas constant, R, is _____ kJ/kg-K.

A

0.287

112
Q

What is the standard ampere rating for a load of 150?

A

150, 175, 200, 225, 250

Standard ampere ratings are provided in increments for various load capacities.

113
Q

What is the minimum age requirement for a Registered Electrical Engineer (REE)?

A

21

This age requirement is part of the professional qualifications for electrical engineers.

114
Q

What is the derating factor for 7-9 conductors?

A

70%

Derating factors are used to adjust the ampacity of conductors based on the number of conductors present.

115
Q

Fill in the blank: The code for Ground Fault Circuit Interrupter is ______.

A

GFCI

116
Q

What does the acronym AFCI stand for?

A

Arc Fault Circuit Interrupter

117
Q

What color represents ‘Security’ in alert colors?

A

Red

Different alert colors are used to signify various states of security and emergency.

118
Q

True or False: A Professional Electrical Engineer (PEE) must be at least 25 years old.

A

True

119
Q

What does the acronym IEEE stand for?

A

Institute Of Electrical And Electronics Engineers

120
Q

What is the adjustment factor for 41 and above conductors?

A

35%

This adjustment factor helps ensure safe operation under specific conditions.

121
Q

List the ampere ratings that fall under the +100 category.

A
  • 600
  • 700
  • 800

These ratings are used for specific load capacities.

122
Q

What is the purpose of the Energy Regulatory Commission (ERC)?

A

Regulate and oversee the energy sector

123
Q

Fill in the blank: The law that governs the Electric Power Industry Reform is commonly known as ______.

A

EPIRA

124
Q

What is the age requirement for a Registered Master Electrician (RME)?

A

18

This is a prerequisite for obtaining the RME certification.

125
Q

What is the standard ampere rating for a load of 400?

A

400, 450, 500

This rating is applicable for various electrical installations.

126
Q

What is the definition of ‘Utilization equipment’?

A

Motors, heaters, furnaces, etc.

127
Q

What is the adjustment factor for 10-20 conductors?

A

50%

This factor reduces the allowable current for safety.

128
Q

What does the acronym GFCI stand for?

A

Ground Fault Circuit Interrupter

129
Q

What is the purpose of the Continuing Professional Development Act (CPD)?

A

To promote lifelong learning among professionals

130
Q

What age must a candidate be to apply for the Professional Electrical Engineer (PEE) examination?

A

25

131
Q

What is the adjustment factor for 4-6 conductors?

A

80%

132
Q

What voltage should not be exceeded for foreign electrical engineers to be exempt from examination?

A

250KV, 50KVA

133
Q

What is the definition of ‘Electrical system design’?

A

Planning and detailing of electrical systems

134
Q

What is the term for the highest effective potential difference in electrical engineering?

A

Voltage

135
Q

What does the acronym LAN stand for?

A

Local Area Network

136
Q

What must the passing percentage be for the written exam for Registered Master Electrician (RME)?

A

70% with no grade below 50%

137
Q

What is the role of the Board of Electrical Engineering?

A

To regulate the practice of electrical engineering

138
Q

What is the requirement for a Professional Electrical Engineer regarding moral character?

A

Good reputation with high moral values

139
Q

What is the age limit for a Registered Master Electrician (RME)?

A

18

140
Q

What does the acronym RAM stand for?

A

Random Access Memory

141
Q

Fill in the blank: The law that regulates energy efficiency in the Philippines is known as the ______.

A

Energy Efficiency and Conservation Act

142
Q

What is the term for the establishment for production and modification of energy?

A

Electric plant

143
Q

What does IRR stand for?

A

Implementing Rules and Regulation

144
Q

What is the Lifeline Rate abbreviated as?

A

LR

145
Q

What does MAP represent in the context of electricity pricing?

A

Maximum Average Price

146
Q

What does MAR refer to?

A

Maximum Annual Revenue

147
Q

What is NEA an abbreviation for?

A

National Electrification Administration

148
Q

What organization is represented by the acronym NGCP?

A

National Grid Corporation of the Philippines

149
Q

What does NPC stand for?

A

National Power Corporation

150
Q

What does NPC-SPUG mean?

A

National Power Corporation-Small Power Utilities Group

151
Q

What does NREB stand for?

A

National Renewable Energy Board

152
Q

What does O&M represent?

A

Operation and Maintenance

153
Q

What is PBR an abbreviation of?

A

Performance Based Regulation

154
Q

What does PDC stand for?

A

Philippine Distribution Code

155
Q

What is the Philippine Electrical Code abbreviated as?

A

PEC

156
Q

What does PEMC represent?

A

Philippine Electricity Market Corporation

157
Q

What is PPD in the context of electricity billing?

A

Prompt Payment Discount

158
Q

What does PSA stand for?

A

Power Supply Agreement

159
Q

What is PSALM an abbreviation for?

A

Power Sector Assets and Liabilities Management

160
Q

What does RCOA mean?

A

Retail Competition and Open Access

161
Q

What does RDWR stand for?

A

Rules for Setting Distribution Wheeling Rates

162
Q

What is the term for Renewable Energy abbreviated as?

A

RE

163
Q

What does REPA stand for?

A

Renewable Energy Payment Agreement

164
Q

What does RES represent?

A

Retail Electricity Supplier

165
Q

What does RESA stand for?

A

Renewal Energy Supply Agreement

166
Q

What does RORB mean?

A

Return on Rate Base

167
Q

What is the abbreviation for Regulatory Period?

A

RP

168
Q

What does RSC stand for?

A

Retail Supply Contract

169
Q

What does RSEC-WR represent?

A

Rules for Setting the Electric Cooperatives’ Wheeling Rates

170
Q

What does RTWR mean?

A

Rules for Setting Transmission Wheeling Rates

171
Q

What organization is represented by the acronym SGC?

A

Successor Generating Company

172
Q

What does SLR stand for?

A

System Loss Rate

173
Q

What does SOLR mean?

A

Supplier of Last Resort

174
Q

What does SPUG stand for?

A

Small Power Utilities Group

175
Q

What does TCGR represent?

A

True Cost Generation Rate

176
Q

What is the abbreviation for Transmission Rate?

A

TR

177
Q

What organization is indicated by the acronym TRANSCO?

A

National Transmission Corporation

178
Q

What does TSC stand for?

A

Transition Supply Contract

179
Q

What does TWRG represent?

A

Transmission Wheeling Rates Guidelines

180
Q

What is the Universal Charge abbreviated as?

A

UC

181
Q

What does UCME mean?

A

Universal Charge - Missionary Electrification

182
Q

What is WACC an abbreviation for?

A

Weighted Average Cost of Capital

183
Q

What does WESM stand for?

A

Wholesale Electricity Spot Market

ESAS (2 decks)

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