GCNS: GEAS 3 1. A 5 lb monkey is attached to a 20 ft hanging rope that weighs 0.3 lb/ft. The monkey

climbs the rope up to the top. How much work has it done.

ANS. 160 ft. – lb.

2. A 40 kg. block is resting on an inclined plane making an angle of θ from the

horizontal. Coefficient of friction is 0.60, find the value of θ when a force of P =

36.32 is applied to cause motion upward along the plane.

Ans: 20o

3. A rectangular block having a width of 8 cm and a height of 20 cm. is resting on a

horizontal plane. If the coefficient of friction between the horizontal plane and the

block is 0.40, at what point above the horizontal plane should a horizontal force P

will be applied at which tipping will occur?

Ans: 10 cm.

4. A spring with a natural length of 10 cm. is stretched by ½ cm. by a 12 Newton force.

Find the work done in stretching the spring from 10 cm to 18 cm. Express your

answer in joules.

Ans: 7.68 Joules

5. A block weighing 400 kg us placed on an inclined plane making an angle of θ from

the horizontal. If the coefficient of friction between the block and the inclined plane

is 0.30, find the value of θ, when the block impends to slide downward.

Ans: 16.70o

6. A certain cable is suspended between two supports at the same elevation and 50 cm

apart. The load is 50 N per meter horizontal length including the weight of the cable.

The sag of the cable is 3 m. Calculate the total length of the cable.

Ans: 50.4758 m

7. The cable supported at 2 points of the same level has a unit weight of W of 0.02 kg

per meter of horizontal distance. The allowable sag is 0.02 m and a maximum tension

at the lowest point of 1200 kg. and a factor of safety of 2. Calculate the allowable

spacing of the poles assuming a parabolic cable.

Ans: 69.28 m

8. A cable of 800 m long weighing 1.5 kN/m has tension of 750 kN at each end.

Compute the maximum sag of the cable.

Ans: 200 m

9. An object experiences rectilinear acceleration at a(t)10-2t. how far doe it travel in 6

seconds if its initial velocity is 10m/s.

Ans: 168m

10. An object is accelerating to the right along a straight path at 2m/sec? the object

begins with a velocity of 10m/s to the left. How far does it travel in 15 seconds?

Ans: 125 m

11. A shot is fired at an angle of 45

o with the horizontal and a velocity of 300 fps.

Calculate to the nearest, the range of the projectile.

Ans: 932 yds

12. A solid disk flywheel (I=200 kg-m) is rotating with a speed of 200 rpm. What is the

rotational kinetic energy?

Ans: 888 x 103 J

13. A man borrowed P2000 from a bank and promise to pay the amount for one year. He

received only the amount of P1,920 after the bank collected an advance interest of

P80. What is the rate of discount and the rate of interest that the bank collected in

advance.

Ans: 4%, 4.17%

14. A bill for motorboat specifies the cost as P1,200 due at the end of 100 days but offers

a 4% discount for cash in 30 days. What is the highest rate, simple interest at which

the buyer can afford to borrow money in order to take advantage of the discount?

Ans: 21.4%

15. Find the discount of P2000 is discounted for 6 months at 8% simple discount.

Ans: P80

16. If the rate of interest is 12% compounded annually, find the equivalent rate of interest

if it is compounded quarterly.

Ans: 11.49%

17. How long will it take money to double itself if invested at 5% compounded annually?

Ans: 14 years

18. A person borrows 10, 000 from a credit union. In repaying the debt he has to pay 500

at the end of every three months on the principal and a simple interest of 18% on the

amount outstanding at that time. Determine the total amount he has paid after paying

all his debt.

Ans: P9,725

19. A man borrows 500 for one year at a discount rate of 8% per annum a.) How much

does he actually receive? b.) What rate of interest is he actually paying?

Ans: a.)460, b.)8.70%

20. A man borrows 2,000 for 18 months at a discount rate of 12% per annum. a.) How

much does he actually receive? b.) What rate of interest is he actually paying?

Ans: a.) P1,640.00, b.) 13.64%

21. A man borrows some money at a discount rate of 15% per annum for one year. If he

wishes to receive 1,000, how much must he borrow?

Ans: 1,176.47

22. Find the amount at the end of 8 years if 1,000 is invested at 6% per annum

compounded a.) mothly b.) quarterly

Ans a.) 1,614.14 b.) 1,610.32

23. How much must be invested now in order to have 10,000 at the end of 10 years if

interest is paid at the rate of 6% per annum compounded a.) annually b.) semi-

annually?

Ans. A.) 5,583.95 b.) 5,536.76

24. Find the effective rate if interest is compounded quarterly at the nominal rate of 9.6%

per anum.

Ans. 9.95 %

25. How many years will it take for an investment to a.) double itself, b.) to triple itself if

invested at the rate of 4% compounded annually?

Ans. a.) 18 years b.) 28 years

26. Find the effective rate if interest is compounded monthly at the nominal rate of 12%

per annum.

Ans. 12.68%

27. A compressor can be purchased with a down payment of 8,000 and equal

installments of 600 each paid at the end of every month for the next 12 months. If the

money is worth 12% compounded monthly, determine the equivalent cash price of

the compressor.

Ans. 14,753.05

CHEMISTRY

1. Which of the following elements is not naturally found in the human body?

a. manganese

b. sulfur

c. iron

d. thorium *

2. This important tool provides most important information in one place on the elements

a. the Periodic Table *

b. the octave rule

c. chemical nomenclature

d. the Bernouli rule

3. Rust is the material that is formed when

a. copper is exposed to air and moisture

b. iron is exposed to oil

c. titanium is exposed to oil

d. iron is exposed to air and moisture *

4. In Australia, the temperature in January is often 24oC, what is it in Fahrenheit?

a. 90

b. 94

c. 97

d. 101 *

5. If 12 out of 48 songs become number 1 hits in a 6 months period, what percent reach

number 1 in that period?

a. 15%

b. 20%

c. 25% *

d. 32%

6. Hadrons are made up of

a. mesons and orlons

b. baryons and nylons

c. baryons and mesons *

d. mesons and quarons

7. Arsenic sulfide was added to whiten copper by alchemists, this step was called

a. melanosis

b. leucosis *

c. cystosis

d. xanthosis

8. Nano is the Greek prefix for

a. 102

b. 106

c. 109

*

d. 1012

9. Color, form, density, electrical conductivity, and melting and boiling points are

example of

a. liquid particles

b. physical properties *

c. chemical properties

d. solid properties

10. The first period contains how many elements

a. 2 *

b. 4

c. 6

d. 8

11. Noble gases are also called the

a. actinides

b. chlorofluorocarbons

c. transuranic elements

d. inert gases *

12. Seawater is an example of a

a. homogeneous solution *

b. isotonic solution

c. heterogeneous solution

d. pasteurized solution

13. Sodium hypochlorite is commonly called

a. ammonia

b. saltpeter

c. bleach *

d. rock salt

14. Sulfur is a member of

a. halogens

b. actinides

c. inner transition metals

d. chalcogens *

15. Which of the following is not a type of quark?

a. top

b. magic *

c. up

d. bottom

16. Approximately what percentage of the elements are metals?

a. 25%

b. 40%

c. 80% *

d. 90%

17. The actinide series of elements are

a. all lighter than air

b. radioactive *

c. silver in color

d. all found in nature

18. Diamonds have what kind of crystal structure?

a. pentagonal

b. planar

c. elliptical

d. cubic *

19. The molecular formula of fructose is

a. C2H206

b. C6H12O6 *

c. C6H10O2

d. C12H6O2

20. A molecule is the

a. reduction of elements to their basic structure

b. combination of two or more atoms held together by chemical bonds *

c. support framework for the atom’s inner sub-particles

d. Latin origin for the element molybdenum

21. The heavy zig-zag line to the right of the Periodic Table separates

a. metal salts

b. halogens

c. the actinide series

d. the metal and non-metals *

22. A phase

a. is a division between metals and non-metals

b. something everyone goes through at on time or another

c. describing the number of different homogeneous materials in a sample *

d. similar to the day and night cycle of the body

23. The halogens are all

a. non-metals *

b. hydrocarbons

c. metals

d. lighter than neon

24. Americium is

a. a patriotic element

b. a member of the rare earth (lanthanide) metals *

c. always a red metalloid

d. has the chemical symbol Ar

25. The atomic number of boron is

a. 5 *

b. 8

c. 10.8

d. 12.2

26. A Bunsen burner is

a. a type of chili

b. a kind of sweet roll

c. a heat source in the laboratory *

d. is invented by Sir Alexander Bunsen

27. A cathode is another name for

a. cat carrier

b. positively charged electrode

c. carbon dating device

d. negatively charged electrode *

28. Samples that can be broken down into simpler chemicals are known as

a. particles

b. complex

c. compounds *

d. cubic

29. Transuranic elements

a. have two-letter shorthand names

b. are not naturally occurring *

c. are made in light nuclei reactions

d. are not highly defined

30. The total diameter of an atom is about

a. 100 times larger than the nucleus

b. 1,000 times larger than the nucleus

c. 10,000 times larger than the nucleus *

d. 100,00 times larger than the nucleus

31. The shorthand chemical name for protactinium is

a. Pt

b. Pr

c. O

d. Pa *

32. The periods have the following number elements

a. 2, 8, 8, 18, 18 *

b. 2, 8, 12, 16, 18

c. 2, 8, 10, 12, 18

d. 2, 8, 10, 18, 18

33. Orbitals of the d-type come in

a. sets of 2

b. sets of 3

c. sets of 5 *

d. sets of 7

34. Bromine is

a. commonly added to toothpaste

b. the only liquid nonmetal at room temperature *

c. an alkaline earth metal

d. never found as a vapor

35. The atomic number of neptunium is

a. 37

b. 42

c. 93 *

d. 101

36. Who presented On the Relation of the Properties to the Atomic Weights of the

Elements?

a. Lars Nilson

b. Antoine Lavoisier

c. Lothar Meyer

d. Dimitri Mendeleyev *

37. It is 3oC in Edinburgh, Scotland, in February, what is that in

oF in Portland, Maine?

a. 29

b. 45

c. 63 *

d. 71

38. If the shell of an orbital is 2n2 = 8, what is n?

a. n=1

b. n=2 *

c. n=3

d. n=4

39. Early humans thought rust was

a. red-brown dirt

b. a mystery *

c. a trick of the eye

d. a problem with the sample

40. The lanthanides and actinides are also called the

a. noble gases

b. halogens

c. heavy metals

d. inner transition metals *

41. Common table salt is made up of

a. lithium chloride

b. potassium chloride

c. sodium chloride *

d. cesium chloride

42. Fer is the French name for the element

a. iron *

b. phosporus chloride

c. sodium chloride *

d. cesium chloride

43. The pH of milk is roughly

a. 5.4

b. 6.4 *

c. 7.4

d. 8.4

44. Oxygen’s filled is orbital diagram has how many up and down arrows?

a. 1

b. 2 *

c. 3

d. 4

45. The Pauli exclusion principle was written by

a. Alfredo Pauli

b. Pablo Pauli

c. Wolfgang Pauli *

d. Jane Pauli

46. When all orbitals of a certain sublevel have to be occupied by a single electron before

pairing starts, it is known as

a. the Pauli exclusion principle

b. Schrodinger’s equation

c. William’s rule

d. Hund’s rule *

47. Oxidation describes

a. electron (+) gain

b. electron (-) loss

c. a helpful diet plan *

d. a better spending plan

48. Nitrogen reacts with which element to form ammonia?

a. hydrogen *

b. oxygen

c. chorine

d. lithium

49. Mixtures can be divided into two types

a. up and down

b. homogeneous and heterogeneous *

c. thick and thin

d. sweet and sour

50. The combing power of one element with the atoms of another is called

a. grouping

b. sensitivity

c. valence *

d. nomenclature

51. This elements make up 25% of the earths elements

a. phosphorus

b. potassium

c. calcium

d. silicon *

52. Early alchemist related the planet Mars to which element?

a. iron *

b. gold

c. lead

d. mercury

53. The first step the alchemists took to change a metal to gold was

a. to heat heater

b. to get a good night’s sleep

c. called melanosis *

d. to check the weather

54. There are how many base units in the International System of Units(SI)?

a. 4

b. 5

c. 7 *

d. 9

55. A thermometer measures

a. color gradients

b. a themos

c. volume

d. temperature *

56. The shorthand chemical name of bismuth is

a. Bi *

b. Bm

c. Bs

d. Bt

57. Metals that are ductile means that

a. they are used as a supplement in duck food

b. they can pulled into wires *

c. they can be flattened into sheets

d. they are used in air-conditioning ducts

58. The Nobel Prize for chemistry is awarded to chemists

a. who can chew gum and ump on foot at the same time

b. studying in Switzerland

c. with really big laboratories

d. who discover something new or explain something not well understood *

59. If the temperature of sample is 14oC, what is the temperature in kelvin?

a. 224 kelvin

b. 259 kelvin

c. 287 kelvin *

d. 295 kelvin

60. Two electrons in each filled orbital must be

a. opposite in charge *

b. really cozy

c. chemists

d. of the same charge

61. About 1% of the earth resources are made up of thus element.

a. silicon

b. manganese

c. phosphorus *

d. magnesium

62. These elements are usually shiny and good conductors of heat and electricity

a. halogens

b. metals *

c. noble gases

d. non-metals

63. The pH of bleach is

a. 5.0

b. 7.4

c. 9.2

d. 14.0 *

64. Ice is the solid form of

a. lead

b. helium

c. water *

d. crystals

65. NASA Spinoffs are an example of

a. government insights

b. applied science *

c. space equipment used only in space

d. pure science

66. Early alchemists used this to represent the elements.

a. Greek letters

b. sign language

c. Arabic letter

d. signs of planets *

67. The SI standard unit for mass is the

a. gram

b. pound

c. kilogram *

d. bushel

68. Which of the following is not a correct measurement?

a. grams per litter

b. degrees Fahrenheit

c. kilometers per hour

d. degrees per meter *

69. The atomic number of hydrogen is

a. the same as its atomic weight *

b. not known

c. only calculated when in solid form

d. 2

70. Elements found along the border of metals and non-metals are called

a. transition metals

b. noble glasses

c. metalloids *

d. rare earth metals

71. Kvicksilver is the Swedish name for

a. potassium

b. mercury *

c. silver

d. tin

72. Thorium is part of which group?

a. halogens

b. lanthanides

c. actinides *

d. metals

73. Nearly 2% of the earths elements is made up of this element

a. calcium *

b. chlorine

c. strontium

d. zinc

74. Early alchemists related the planet Jupiter to which element?

a. gold

b. titanium

c. silver

d. tin *

75. Which Greek philosopher called tiny particles atomos (atoms) ?

a. Plato

b. Aristotle *

c. Democritus

d. Lucretius

76. The distance from the sun to Pluto is roughly

a. 108 meters

b. 10 13

meters

c. 1010

meters *

d. too far to think about

77. Hydrogen and Helium are located in which period?

a. first *

b. second

c. third

d. fourth

78. The SI standard unit to measure a pure substance is the

a. chipmunk

b. gopher

c. mole *

d. squirrel

79. Gallium was discovered one year before

a. copper

b. germanium *

c. calcium

d. selenium

80. In a binary covalent compound, phosphorus is named before which of the following

elements?

a. carbon

b. silicon

c. boron

d. chlorine *

81. In an ion of one atom, the oxidation number is equal to

a. two

b. zero

c. the ion’s charge *

d. the ion’s atomic weight

82. The iron form of permanganate is

a. MnO4-

*

b. MgO2–

c. MdH2–

d. PO4-

83. Which of the following would not be considered toxic at this ppm level

a. silver (0.05 ppm in water)

b. arsenic (0.5 ppm) *

c. diethyl ether (400 ppm)

d. mercury (0.0022 ppm in water)

84. The word radioactivity was first used by

a. Lothar Meyer

b. Plato

c. Han Christian Andersen

d. Marie Curie *

85. Which element is the only one that has been given separate names for its different

isotopes?

a. hydrogen *

b. nitrogen

c. idodine

d. carbon

86. The two types of nuclear reactions are radioactive decay of bonds and the

a. “billiard ball” type *

b. “tennis ball” type

c. “golf ball” type

d. “ping pong ball” type

87. The electronegativity value of lead is

a. 0.6

b. 1.5

c. 1.7

d. 2.2 *

88. Six-sided structure with alternating single and double bond are called

a. inverse isomers

b. orbitals

c. aromatic hydrocarbons *

d. noble gases

89. Lead forms how many kinds of ions with unique charges

a. 1

b. 2 *

c. 3

d. 4

90. What is approximately the pH level of blood?

a. 6.5

b. 7.0

c. 7.4 *

d. 8.0

91. All oxidation numbers added together in a compound must equal

a. zero *

b. one

c. the total number of atoms

d. enough to make the experiment working

92. The B-subgroup of elements are also called

a. transition elements *

b. metals

c. halogens

d. gases

93. Which of the following is an aromatic compound?

a. methanol

b. ethanol

c. butane

d. cinnemaldehyde *

94. Radioactive iodine is used in the marking and treatment of

a. emphysema

b. thyroid cancer *

c. flat feet

d. halitosis

95. Molecules with chiral isomers are

a. not superimposable *

b. acid-base pairs

c. superimposable

d. elastomers

96. In binary covalent compound, sulfur is named before which of the following

elements?

a. carbon

b. oxygen *

c. boron

d. hydrogen

97. How many elements are there in the sixth period?

a. 10

b. 28

c. 32 *

d. 40

98. Early alchemist related the planet Saturn to what element?

a. boron

b. lead *

c. sulfur

d. scandium

99. A pH meter measures the amount of

a. hydrogen ions in a solution *

b. oxygen ions in a solution

c. nitrogen in a solution

d. sodium ions in a solution

100. The pH of most carbonated drinks is about

a. 3.1

b. 3.9 *

c. 6.2

d. 8.5

101. The measurement of the charge separation between each part of a molecule is called

a. an extra-terrestrial moment

b. an embarrassing moment

c. a tripole moment

d. a dipole moment *

102. The size of an average water molecule is

a. 10-2

meters

b. 10-4

meters

c. 10-8

meters *

d. 10-10

meters

103. Lawrencium is located in which period

a. third

b. fourth

c. sixth

d. seventh *

104. If the shell capacity of an orbital is 2n2=32, what is n?

a. n=1

b. n=2

c. n=3

d. n=4 *

105. Hierro is the Spanish name for

a. lead

b. iron *

c. mercury

d. hydrogen

106. Covalent bonds occur between two

a. bases

b. metals

c. non-metals *

d. a metal and a non-metal

107. If the temperature of a sample is 273 Kelvin, what is the temperature in Co?

a. 0 *

b. 10

c. 32

d. 73

108. Which element melts in your hand like a chocolate bar?

a. krypton

b. tantalum

c. strontium

d. cesium *

109. Carbon single-walled, nano-scale tubular structures are called

a. buck balls

b. rare earth metals

c. nanotubes *

d. chalogens

110. One of the first acids a beginning chemistry student uses in the lab is

a. hydrocholoric acid *

b. cyanoic acid

c. propionic acid

d. barbaric acid

111. Proteins give hard structural strength in all but which of the following?

a. ankle bone

b. crab shell

c. spinal column

d. earthworm *

112. The electronegativoty value of hafnium is

a. 0.7

b. 1.3 *

c. 1.8

d. 2.2

113. Lutetium is part of which group?

a. halogens

b. lanthanides *

c. actinides

d. metals

114. What is the approximate pH of stomach acid?

a. 2.0*

b. 4.9

c. 6.2

d. 7.5

115. Many people with milk sensitivities have trouble with the milk sugar

a. fructose

b. lactose *

c. sucrose

d. glucose

116. If a solution measured 5.8 on the pH meter, it would be

a. a radioactive solution

b. a noble gas

c. a base

d. an acid *

117. Lithium paper changes from blue to red when a solution tested is a

a. a blue dye

b. an acid *

c. a red dye

d. a base

118. Bases react with acids to form

a. dark chocolate and white chocolate

b. acetone and water

c. water and salt *

d. propane and butane

119. An uncombined element has an oxidation number of

a. 0 *

b. 1

c. 2

d. 3

120. In a binary covalent compound, iodine is named before which of the following

elements?

a. bromine *

b. silicon

c. sulfur

d. nitrogen

121. Early chemist related the planet Venus to which element?

a. iodine

b. copper *

c. potassium

d. sodium

122. The SI standard unit for length is

a. centimeter

b. decimeter

c. meter *

d. kilometer

123. Cesium is located in which period?

a. second

b. third

c. fifth

d. sixth *

124. The pH of vinegar is

a. 3.0 *

b. 3.6

c. 4.2

d. 5.0

125. Nickel forms how many kinds of ions with unique charges?

a. 1

b. 2

c. 3

d. 4 *

126. Which of the following is an aromatic compound?

a. propanol

b. isobutene

c. vanillin *

d. ethylene

127. Which of the following is the most widely produced acid in the United States?

a. sulfuric acid *

b. nitric acid

c. boric acid

d. malic acid

128. If a solution measured 7.7 on the pH meter, it would be

a. a halogen

b. a base

c. a macromolecule *

d. an acid

129. If a solution measured 8.9 on the pH meter, it would be

a. a brittle solid

b. an inert gas

c. a base *

d. an acid

130. When oxygen is part of a compound the oxidation number is -2 except

a. salt

b. peroxides *

c. hydrocarbons

d. nanomolecules

131. If the temperature of a sample is 343 Kelvin, what is the temperature in oC?

a. 50 oC

b. 90 oC

c. 70 oC *

d. 110 oC

132. Early alchemist related the Sun to which element?

a. gold *

b. silver

c. copper

d. iron

133. In 1923, two chemists, Johannes Bronsted and Thomas Lowry, described

a. mesons and hadrons

b. acids and bases in the scientific literature *

c. the Periodic Table

d. how to construct nanotubes

134. Litmus paper changes from red to blue when a solution tested is

a. a blue dye

b. an acid

c. a red dye

d. a base *

135. Which of the compounds below do most people learn about first in chemistry?

a. lava

b. vanillin

c. water *

d. ozone

136. Reduction is the chemical name for

a. when a balloon loses air and shrinks

b. a decrease in oxidation number *

c. the loss of energy from a gas

d. the process of writing a name on a grain of rice

137. Oxygen has an oxidation number of

a. -1

b. -2 *

c. -3

d. -4

138. Helium is how many times dense than water?

a. 2 times *

b. 3 times

c. 4 times

d. Helium is the same density as hydrogen

139. The invention of the Gutenberg printing press in 1452 helped spread which theory?

a. Theory of Relativity

b. Nano-technology Theory

c. Conservation of Energy Theory

d. Atomic Theory *

140. In 1995, three chemists, Molina, Rowland and Crutzen became concerned about

damage to the

a. polar ice caps

b. ozone layer

c. Golden Gate Bridge *

d. Canadian Bridge

141. Chemically, simple sugars are also known as

a. something to avoid when on a diet

b. monosaccharides *

c. the only cause of dental cavities

d. disaccharides

142. Antimony forms how many kinds of ions with unique charges?

a. 1

b. 2 *

c. 3

d. 4

143. Argon is located in which period?

a. first

b. second

c. third *

d. fourth

144. Early alchemists related the Moon to which element?

a. manganese

b. vanadium

c. chromium

d. silver *

145. The pH of seawater is roughly

a. 5.2

b. 6.1

c. 7.7 *

d. 8.9