Mathematics
Part 1.
1. Two buses leave the same station at 8:00 pm. One bus travels
north at the rate of 30 kph and the other travels east at 40 kph. How many
kilometers apart are the buses at 10 pm?
2. Calculate the mean absolute deviation of the following numbers:
60, 80, 100, 75 and 95
a. 12.4
b. 14.2
c. 16.1
d. 18.9
Answer: A
3. Which of the following is the factorization of the binomial x2
- 42 ?
a. (x + 4)(x + 2)
b. (x – 4) 2
c. x(x + 2x + 2)
d. (x – 4)(x + 4)
Answer: D
4. What value of x will satisfy the equation: 0.4(5x - 1470) = x?
a. 490
b. 2,130
c. 1470
Answer: D
5. Which of the following has the greatest value:
a. 3 + 32 + (3 + 3) 2
b. 3 3
c. [(3 + 3) 2]2
d. (3 + 3 + 3) 2
Answer: C
6. The average of 5 different counting numbers is 20. What is the
highest possible value that one of the numbers can have?
a. 20
b. 40
c. 30
d. 90
Answer: D
7. Three brothers inherited a cash amount of P62,000 and they
divided it among themselves in the ratio of 5:4:1. How much more is the largest
share than the smallest share?
a. P75,000
b. P30,000
c. P24,800
Answer: C
8. What is the missing terms in the series 5, 20, 80, ___,1280,
___, 20, 480?
a. 50;210
b. 40;160
c. 35;135
d. 320;5120
Answer: D
9. At what rate per annum should P2400 be invested so that it will
earn an interest of P800 in 8 years?
a. 6 ½ %
b. 5 ½ %
c. 4.17 %
d. 6 %
Answer: C
10. The area of a rectangle is (x 2 + 2x - 8). If its length is x
+ 4, what is its width?
a. x + 2
b. x - 2
c. x + 1
d. x + 6
Answer: B
11. What is the value of 12⅙ - 3 ⅜ - 5 ⅔ + 20 ¾?
a. 21 1/8
b. 22
c. 23 7/8
d. 21
Answer: C
12. The vertex angle of an isosceles triangle is 20°. What is the measure of one of the base angles?
a. 150°
b. 60°
c. 75°
d. 80°
Answer: D
13. Ana and Beth do a job together in three hours. Working alone,
Ana does the job in 5 hours. How long will it take Beth to do the job alone?
a. 3 and 1/3 hours
b. 2 and 1/3 hours
c. 3 hours
d. 7 and 1/2 hours
Answer: D
14. How much greater is the sum of the first 50 counting numbers
greater than the sum of the first 100 counting numbers?
a. 110
b. 3,775
c. 3,155
d. 1200
Answer: N
15. Which of the following has the largest value?
a. 8 5
b. 3 9
c. 6 5
d. 9 4
Answer: A
16. A water tank contains 18 liters when it is 20% full. How many
liters does it contain when 50% full?
a. 60
b. 30
c. 58
d. 45
Answer: D
17. The edges of a rectangular solid have these measures: 1.5 feet
by 1½ feet by 3 inches. What is its volume in cubic
inches?
a. 324
b. 225
c. 972
d. 27
Answer: C
18. In a certain school, the ratio of boys to girls is 5 is to 7.
If there are 180 boys and girls in the school, how many boys are there?
a. 105
b. 90
c. 45
d. 75
Answer: D
19. Ruben’s grades in 6 subjects are 88,
90, 97, 90, 91 and 86? What is the least grade that he should aim for in the
7th subject if he has to have an average of 88?
a. 92
b. 74
c. 88
d. 85
Answer: B
20. On a certain day, three computer technicians took turns in
manning a 24-hour internet shop. The number of hours Cesar, Bert, and Danny
were on duty was in the ratio 3:4:5, respectively. The shop owner pays them P50
per hour. How much would Danny receive for that day?
a. P 230
b. P500
c. P160
d. P480
Answer: B
21. A retailer buys candies for P90.25. The pack has 35 pieces of
candies. If she sells each candy for P2.25, how much profit does she make?
a. P11.50
b. P56.25
c. P37.50
d. P18.75
22. An online shop sells a certain calculator for P950 and charges
P150 for shipping within Manila, regardless of the number of calculators
ordered. Which of the following equations shows the total cost (y) of an order
as a function of the number of calculators ordered (x)?
a. y = (950 + 150)x
b. y = 150x +950
c. x = 950y + 150
d. y = 950x + 150
Answer: D
23. One side of a 45° - 45° - 90° triangle measures x cm. What
is the length of its hypotenuse?
a. X √3 cm
b. X cm
c. (X √3)/2 cm
d. X √2 cm
Answer: D
24. The legs of one right triangle are 9 and 12, while those of
another right triangle are 12 and 16. How much longer is the perimeter of the
larger triangle than the perimeter of the smaller triangle?
a. 84
b. 7
c. 12
d. 14
Answer: C
25. Determine the midpoint of the line segment joining the points
(7, -3) and (-1, 6).
a. (2, 3/2)
b. (2, -3/2)
c. (3, 3/2)
d. (1, 5/2)
Answer: C
26. Which of these has the longest perimeter?
a. A square 21 cm on a side
b. A rectangle 19 cm long and 24 cm wide
c. An equilateral triangle whose side is 28 cm
d. A right triangle whose two legs are 24 and 32 cm
Answer: D
27. How many square inches are in 2 square yard?
a. 900
b. 144
c. 1296
d. 2,592
Answer: D
28. In a playground for Kindergarten kids, 18 children are riding
tricycles or bicycles. If there are 43 wheels in all, how many tricycles are
there?
a. 8
b. 9
c. 7
d. 11
Answer: C
29. Nelia takes ¾ hour to dress and get
ready for school. It takes 4/5 hour to reach the school. If her class starts
promptly at 8:00 am; what is the latest time she can jump out of bed in order
not to be late for school?
a. 6:42 am
b. 6:27 am
c. 6:57 am
d. 7:02 am
Answer: B
30. Which common fraction is equivalent to 0.215?
a. 43/200
b. 27/125
c. 21/50
d. 108/375
Answer: A
Below is the LET Reviewer for General Education GENED: Science
Part 1. We encourage readers/ reviewees to use the comment boxes after the
article for discussion.
1. Which of the following statements best describes a hypothetical
element with an electron configuration of 1s 22s 22p 6 3s 2 3p 5?
a. The hypothetical element has an atomic number of 11.
b. The hypothetical element is a member of Group V, otherwise
called the Nitrogen Group.
c. The hypothetical element is in the fifth position in the
p-block, along the third period of the periodic table.
d. The hypothetical element is located at the third position of
the p-block, along the fifth period of the periodic table.
Answer: C
2. Despite the observed diversity among organisms, they are all
made from the same set of biomolecules composed of monomeric units except:
a. Proteins
b. Carbohydrates
c. Nucleic Acids
d. Lipids and Fats
Answer: D
3. What will be formed when radium isotope, with 88 protons and
138 neutrons undergoes alpha decay?
a. Radon Atom (Rn 222 ) with 86 Protons
b. Francium Atom (Fr 222 ) with 87 Protons
c. Actinium Atom (Ac 222 ) with 89 Protons
d. Thorium Atom (Th 232 ) with 90 Protons
Answer: A
4. Which of the following examples best illustrates application of
Boyle’s Law?
a. A tire becomes harder as more air is pumped into it.
b. A sealed aerosol can explodes when thrown into a fire.
c. A balloon expands and bursts when exposed to direct sunlight.
d. A scuba divers stops at certain depths as he ascends to the
ocean’s surface.
Answer: D
5. Three liquids A, B, C were studied in a laboratory. Liquid A
was found to float over B and C. It was also found that liquid A flows fastest
among the three. What can be said about liquid A?
a. Densest and most viscous
b. Densest and least viscous
c. Least dense and most viscous
d. Least dense and least viscous
Answer: D
6. Which of the following statements represents a physical change?
a. An antacid tablet forms bubbles when dissolved in water.
b. A flashlight beam slowly gets dimmer and finally dies out over
time.
c. The lawn grows thicker every day because fertilizers were added
into the soil.
d. Frozen mango juice melted when left standing at room
temperature for 30 minutes.
Answer: D
7. Which of the following best explains why farmers burn rice
straw and hull during seasons of harvest?
a. Burning rice hulls and straws produce compounds that act as
repellant for pests which may damage plantation.
b. The smoke produced by burning rice hulls and straws stimulate
growth and fruit bearing of trees.
c. Rice hulls and straws are burned so that more spaces will be
available for planting next set of crops.
d. Ash from burnt rice hulls and straws are rich in compounds that
could neutralize acidic soil so that more crops will grow
8. Acid rain occurs when ____________.
Answer: D
8. Acid rain occurs when _________.
a. carbon dioxide combines with water in the atmosphere.
b. phosphorus-rich water in lakes evaporates to form phosphoric
acid.
c. sulfur released in burning fossil fuels combines with water in
the atmosphere.
d. excess hydrogen is released into the atmosphere to produce
acids.
Answer: C
9. Why is it difficult to integrate nitrogen gas from the
atmosphere into the nitrogen cycle of the biosphere?
a. Nitrogen is very abundant in the atmosphere
b. Living organisms quickly absorb nitrogen gas
c. Oceans quickly absorb nitrogen gas
d. Few organisms can directly utilize atmospheric nitrogen
Answer: D
10. Which of the following sentences about greenhouse effect is
INCORRECT?
a. Greenhouse gases trap heat in the atmosphere which are returned
to the earth’s surface.
b. Greenhouse effect is important in maintaining the temperature
of the earth.
c. Greenhouse effect is due to gases that absorb the green region
of light from the sun.
d. Greenhouse effect increases the overall surface temperature of
the earth.
Answer: C
11. When a gardener propagates a plant by taking cuttings, he
plants his cutting in a well-watered soil in a plant pot. What is the most
likely reason why he may then cover the plant and pot with a lightly perforated
polythene bag?
a. To reduce the water demand of the cutting.
b. To decrease the rate of gaseous exchange by the plant.
c. To reduce the chance of attack by pests.
d. To protect the plant from cold weather.
Answer: A
12. It is a common observation that mushrooms thrive few days
after lightning strikes. Which among the following biogeochemical cycles is
involved in this process?
a. Nitrogen cycle
b. Carbon-Oxygen cycle
c. Phosphorus cycle
d. Sulfur cycle
Answer: A
13. Which of the following factors contribute to an increase in
human population?
I. Immigration II. Emigration
III. Natality IV. Mortality
a. III and IV
b. II and III
c. I only
d. I and III
Answer: D
14. Shown below is a simple food web in a grassy community. The
arrow symbol means eaten by. What would happen if all snakes are killed?
Grass>Grasshopper>Frog>Snake
Bird>Snake
a. Grass population would increase.
b. Grasshopper population would increase.
c. Bird and frog populations would increase.
d. Grasshopper and bird populations would increase.
Answer: C
15. Which of the following shows mechanical weathering of rocks?
a. formation of caverns
b. acids dissolves rocks
c. freezing water between rock particles
d. iron in rocks combine with oxygen
Answer: C
16. PAGASA announces the approach of the seasonal winds. The
familiar names used are Amihan and Habagat, internationally known as ________
and ________ respectively.
a. Northeast and southwest
b. Trade wind and easterlies
c. Southwest and northeast
d. Westerlies and easterlies
Answer: A
17. Fog is a cloud with its base at or very near the ground. The
formation of fog generally occurs after the ground has lost heat by:
a. Evaporation
b. Convection
c. Conduction
d. Radiation
Answer: D
18. Why do we see the sun rise in the east?
a. The earth revolves eastward.
b. The earth rotates from west to east.
c. We are located in the 20th meridian.
d. On the globe, we are located in the east.
Answer: B
19. If a voltage of 100 volts produces a current of 5 amperes in
an electrical device, what is the resistance?
a. 95 Ohms
b. 20 Ohms
c. 105 Ohms
d. 500 Ohms
Answer: B
20. Which of the following best differentiates an earthquake's
intensity from its magnitude?
a. Intensity describes 'the depth from which the earthquake
originated’ while magnitude refers to ‘the
energy of the earthquake’.
b. Intensity cannot be measured while magnitude can be measured
using a seismograph.
c. Intensity refers to the strength of the quake while magnitude
refers to the degree of destruction it caused at the epicenter.
d. Intensity is a measure of how much damage an earthquake cause
at the surface while magnitude is the strength of the quake.
Answer: D
21. Comparing the speed of sound in liquids, gases, and solids,
the speed of sound is usually lowest in ____ and highest in ____.
a. solids, gases
b. gases, liquids
c. liquids, solids
d. gases, solids
Answer: D
22. Which has a greater density, a lake full of water or a cupful
of water?
a. The cup full of water
b. The lake full of water
c. Not enough information
d. They have the same density
Answer: D
23. A stainless steel spoon feels colder than a plastic spoon
because stainless steel
a. absorbs less heat from the hand than plastic does
b. is really colder than plastic
c. has a lower temperature than plastic
d. conducts heat away from the hand faster than plastic does
Answer: D
24. Why is it NOT advisable to repeatedly open the door of a
refrigerator?
a. It will loosen the hinges of the refrigerator's door
b. Leads to wastage in electrical energy.
c. Repeated opening introduces bacteria in to the refrigerator.
d. The warm air outside lowers the temperature inside thus making
the refrigeration less-efficient.
Answer: B
25. What kind of mirror is used in cars to give the driver a wider
area and smaller image of the traffic behind him/her?
a. Double concave
b. Convex
c. Plane
d. Concave
Answer: B
26. Why do we hear thunder some seconds after seeing lightning?
b. Light travels faster than sound.
c. Sound travels 1.331 m/s
d. Sound is released later actually
Answer: B
27. Water has a higher specific heat than iron. What does this
mean?
a. Water is hotter than iron
b. Water heats more rapidly than iron
c. Water is more dense than iron
d. Water heats more slowly than iron
Answer: D
28. If a colorblind man marries a woman who has normal vision and
no history of the disease, it is most probable that all of their :
a. daughters will be carriers
b. daughters will be colorblind
c. sons will be carriers
d. sons will be colorblind
Answer: A
29. Albino corn seedlings may grow several inches tall. However,
they will eventually die, primarily because
a. direct sunlight will destroy their cells
b. they lack adequate root system
c. they cannot produce their own food
d. they cannot obtain carbon dioxide
Answer: C
30. Mimosa pudica, locally known as Makahiya is called as such
because its leaflets tend to close when touched. This organismal response to a
given stimuli is called:
a. Hydrotropism
b.Thigmotropism
c. Geotropism
d. Phototropism
Answer:
Below is the LET Reviewer for General Education GENED: Social
Science Part 1. We encourage readers/ reviewees to use the comment boxes after
the article for discussion.
1. What factor was a major cause of both World War I and World War
II?
a. The spread of Marxian ideas into Europe
b. The dropping of atomic bombs
c. Nationalism and national borders
d. The rise of totalitarian fascist states
Answer: D
2. In which organization is the Philippines a member to fight
communist aggression?
a. APEC
b. ASA
c. UN
d. SEATO
Answer: D
3. The theory that population increases by geometrical ratio while
the means of subsistence increases by arithmetical ratio is attributed to?
a. Karl Marx
b. Robert Malthus
c. Emile Durkheim
d. Aristotle
Answer: B
4. In what instance is the Filipino double-standard morality
shown?
a. A couple brings their sick child to the doctor then later to
the espiritista
b. Young parents bring up their children in a manner different
from how they were brought up
c. Illiterate parents are eager to send their children to school
even if they themselves did not go to school
d. A married man who flirts with someone else other than his wife
seems acceptable but a married woman who flirts with another man is condemned.
Answer: D
5. Which part of Asia does the Arabian peninsula occupy?
a. Northwest
b. Southeast
c. Southwest
d. Northeast
Answer: C
6. The important factors which have contributed to the weakness in
the internalization of desirable values is the?
a. Lack of models among the very people expected to exemplify
these values
b. Use of approaches which are mainly cognitive rather than
effective
c. Lack of follow up systems from one grade level to another
d. Minimum recognition and appreciation given to teachers
Answer: A
7. To govern is to rule and the government rules by laws. Whose
main duty is the enforcement of laws?
a. Police department
b. Judiciary department
c. Legislative department
d. Executive department
Answer: D
8. The term that refers to the class of Filipinos who were free
and independent
a. Timawa
b. Maharlika
c. Aliping namamahay
d. Aliping saguiguilid
Answer: A
9. The Spanish expedition responsible for naming the archipelago
Filipinas
a. Magellan’s expedition
b. Loarca expedition
c. Legaspi expedition
d. Villalobos expedition
Answer: D
10. The third and last military governor of the Philippines was
a. Gen. Wesley Merritt
b. Gen. Elwell Otis
c. Gen. Arthur MacArthur
d. Gen. Douglas MacArthur
Answer: C
11. Which Katipunan member commuted from Cavite to Manila to buy
materials used to make ammunitions?
a. Teresa Magbanua
b. Agueda Esteban
c. Teodora Alonso
d. Trinidad Tecson
Answer: B
12.Which economic system is based on free enterprise?
a. Globalism
b. Mixed economies
c. Capitalism
d. Communism
Answer: C
13. How is the so-called colonial mentality manifested?
a. Cultural relativism
b. Cultural diversity
c. Xenocentrism
d. Ethnocentrism
Answer: C
14. Which is a safeguard against unfair trade practices like
short-weighing?
a. Total Quality Movement
b. Consumerism
c. Consumer vigilance
d. Substandardization
Answer: C
15. If the seven continents were arranged from largest to
smallest, in which order does Australia fall?
a. 4th
b. 5th
c. 6th
8. 7th
Answer: D
16. In which continent can we find stormy Cape Horn which is known
as the graveyard of ships and sailors?
a. Africa
b. Australia
c. South America
d. Asia
Answer: C
17. Which led to the creation of Pakistan as a nation in 1947?
Religious differences between
a. Hindus and Christians
b. Christians and Muslims
c. Hindus and Buddhists
d. Hindus and Muslims
Answer: D
18. Which is common to Sun Yat Sen and Mahatma Gandhi?
a. Promoted a society ruled by religious leaders
b. Rejected violence as a way to political power
c. Led a successful nationalistic movement in their respective
countries
d. Supported Marxist philosophy to change existing governments
Answer: B
19. Nebuchadnezzar was to the Babylonian Empire as Asoka was to
the ______ Empire.
a. Roman
b. Gupta
c. Greek
d. Maurya
Answer: D
20. With the opposition of the parity rights in mind, who does NOT
belong to the group?
a. Claro M. Recto
b. Jose Laurel
c. Manuel Roxas
d. Pedro Taruc
Answer: C
21. When the Filipino reformists asked for the assimilation of the
Philippines by Spain, what did they ask for? For the Philippines to ____
a. Become independent from Spain
b. Become a province of Spain
c. Be independent from Spain with certain conditions
d. Be represented in the Spanish Cortes
Answer: B
22. Who among the Presidents changed the date of our celebration
of Independence day from July 4 to June 12?
a. Ramon Magsaysay
b. Diosdado Macapagal
c. Carlos Garcia
d. Ferdinand Marcos
Answer: B
23. In which country did the Philippines participate in the world’s peacekeeping operations by sending doctors, nurses,
soldiers and police?
a. Israel
b. East Timor
c. Iraq
d. Iran
Answer: C
24. In which poem did Rizal write about offering one’s life for one’s country?
a. A La Juventud Filipina
b. Song of Maria Clara
c. Sa Aking mga Kabata
d. Mi Ultimo Adios
Answer: D
25. As an effect of our geography, in which of the following
island/s do people travel mostly by water?
a. Luzon
b. Mindanao
c. Visayas
d. Visayas and Mindanao
Answer: C
26. As an insular country, to which principle does the Philippines
adhere when it comes to territorial boundary?
a. Two hundred nautical miles of the country’s
coast
b. Three hundred fifty nautical miles from shore
c. Three-mile territorial limit
d. Archipelagic doctrine
Answer: D
27. Which part/s of the Visayas has/have comparatively more
excessively moist climate and limited arable lands?
a. Western
b. Eastern
c. Eastern and Central
d. Central and Western
Answer: B
28. Which follows Pres. Garcia’s “Filipino First Policy”? Filipinos
a. Should buy and consume Filipino products only
b. Should not contribute to the brain drain problem
c. Should be selective in the entry in the entry of foreign
professionals in the country
d. Were to be given first preference in all matters related to the
economic development of the country
Answer: D
29. Aside from the Philippines, which countries claim part of the
Spratly islands in the South China Sea?
a. China, Thailand, Brunei, Malaysia
b. China, Taiwan, Vietnam, Malaysia
c. Indonesia, China, Taiwan, Malaysia
d. China, Thailand, Brunei, Malaysia
Answer: B
30. The following are our constitutional rights EXCEPT to
a. Free access to legal assistance which shall not be denied due
to poverty
b. Have access to all records of the government
c. Be presumed innocent until proven guilty
d. Form association and labor unions
Answer: B
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