ENGLISH
1. A. C. B. DAns: C – the answer is C
because the bound morphemes “in”, “dis”,”un, and “il” connote negative meaning- for example when we say inadequate, we mean that it is not adequate
2.
A. C. B. D.
Ans: A- The answer is a, because all of the other given options connote “Wrapping up” a particular text, while doing an “ Assumption” means that we are trying to hypothesize.
3. A. C B. D. Ans: D- The
answer is D because all the other options given are measures of temperature while “meter” is a measure of length or distance.
4. A. C. B. D.
Ans: B – the answer is letter B because the article “ the” would connote that we are
pertaining to “all” poor people, and because of that the pronoun to be used must also plural in form.
5. A. C B. D. Ans: D – the
given statement below includes an idiom and so one must not take it literally. The idiom used in the sentence means to actively participate in a group endeavor, and so the answer is D.
6. A. C. B. D. Ans: B – this
particular item concerns “tag questions”. The rule in using tag question is that when the first statement is negative, the next statement must be positive and vice-versa. Having stated this, the answer is B.
7. A. C. B. D. Ans: A – Using our context clues abilities and the
archetypes of colors, we can easily state that the answer is letter A. the color “White”
symbolizes purity, and if we are to connect it with the word “lie” we can by all means say that “White Lies” are lies without any intention to hurt other people.
8. A. C.
B. DAns: B – at first one might think that the answer
is C ‘to write”, but upon examining deeply, we would have to consider B “writing” as another possible answer. “to write” and “ writing” are nominal (infinitive and gerund). Nominals are verbs that function as nouns. Infinitives often times appear after an object of the sentence. It would be awkward to say “Did your mentor ask you writing a new one?”, a better version of this sentence would be “Did your mentor ask you to write a new one?”. In the given sentence, the object was not given, so the best answer is a gerund, letter B.
9. A. C. B. D. Ans: D- the
answer is letter D “cope” although most would answer A “cope up”. D is the best answer since that “cope with” means “to adapt”, while “cope up with” means “to try to follow one’s lead”.
10. A. C. B. D. Ans: B – The
answer is B “where” because we are pertaining to a place.
11. A. C. B. D. Ans: D – The
answer is D “too wet”. This is so because the phrase “so wet” must only used if it is followed by a clause – for example” The towels you gave me are so wet that I cannot dry the tables anymore.
12. A. C. B. D. Ans: B – The
obvious answer is letter B, because among the options given it is the only word that ends with “ne”.
13. A. C. B. D. Ans: C- The apparent answer is C “stage fright” because all of the options given would not constitute to the given symptoms in the question. There are also some contexts clues present such as “speaker”, “stage” and “spiel”.
14. A. C. B. D. Ans: B – The answer is B
“simile” the statement is comparing the snake to the night using the word “like”.
Personification is when we give humanity attributes to inanimate objects. “Metaphor” is direct comparison-meaning comparing without the use of “like
“or “as”. Apostrophe is addressing someone who is absent or deceased, inanimate or abstract concepts.
15. A. B. C. D. Ans: C – The Rubaiyat is written by Omar Khayam
and translated into English by Edward Fitzgerald. It adheres to the carpe diem movement that states that we should eat now drink and be merry for tomorrow you’ll die (Seize the day). Having said this answer is letter C.
16. A. B. C. D. Ans: D – Using the key words “Green pastures” which means prosperity and “still waters” which means peace, we can clearly state that the answer is D.
17. A. B. C. D. Ans: D – The answer is D because the quotation given states that is not enough for us to be eager in learning, but we must also treat it with
excitement and with much enthusiasm.
18. A. B. C. D. Ans: B – The answer is B. in the story, the mother of the main character was sick for a very long time and so Ms. Mijares was obliged to take care of her mother
19. A. B. C. D.
Ans: A – The answer is A. in the story, Soledad, the main character, is very much intrigued by the small key that her husband never failed to treasure. So when Pedro left the key
accidentally, Soledad took the opportunity and she opened the chest and found the old things of the first wife. Because of her jealous, she burnt all the things inside the chest.
20. A. C. B. D. Ans: The answer is A.
Telescoping is when the author would narrate an event and then would fats forward to the next. Foreshadowing is giving clues about what is going to happen at the end of the story. Flashback is narrating past events, and Stream of consciousness is a technique that has no specific order.
Situation
Situation Recall “The Virgin”, May day Eve”, The Small Key” written by Kerima Polotan tuvera, nick Joaquin, and Paz Latorena,
respectively then answer the questions below.
Recall “The Bolo” and “Without Seeing the Dawn” by L. Paras Sulit and Stevan Javanella respectively then answer the questions posted below.
21. A. B. C. D.
Ans: A – The answer is A. in the short story “The Bolo” the main character treasures so much the bolo that was given to her husband because it is symbol of the husband’s true love
towards the main character.
22. A. C. B. D. Ans: A – The
answer is A. Stevean Javanella is one of the prolific writers---novelists, for that matter in the post war period.
23. A. B. C. D. Ans: A – option B is not the answer because it is loaded question and at the same time a tag question---meaning, there is already an underlying and expected answer option C is also not the answer because the question is not about
clarification but concern. In addition option c is not the answer because the words used did not really show concern.
24. A. C. B. D. Ans: A – Clearly, option
A is the answer since that the rest of the options started with “Yes” which means contradicts the statement “I don’t agree with the report...”
25.
A. C. B. D. Ans: B – The statement “I am used to the
same tales” is a common idio-matic. But if ever this is the first time you heard this statement, you may use the phrase “used to “as a context clue.
26. A. C. B. D. Ans: B – Options C and D seems off tangent to
the question, so we will just limit our choice to options A and b which are both common utterances in terms of revenge. Option B is not the answer because “An eye for an eye” connotes revenge, but in item number 26, it was said that the victim refused revenge. That is why option A is the best answer.
27. A. B. C. D. Ans: D – Among the options given , A and C ate most unlikely, so we will just limit it to options A and D. option B talks about the never ending cycle of
emerging leaders, while option D mentioned things like
“ history”, “matched”, and “leaders”—thus, making D the correct answer.
28. A. C. B. D. Ans: B – This question
could also be under the Grammar section because this concerns consistency on tense. The answer is N “caught-up” because clearly, the sentences in the past tense and not in the past progressive (was Catching)—because the action is not a continuing action in the past, nor in the present tense( catch-up---because the other verbs in the statement are in the past tense, and definitely not in the present perfect tense (has caught)—because the action is no longer happening at present and at the same time it ended not in the very recent past.
29. A. C. B. D. Ans:
D – in this particular question, we can immediately illuminate options A and C. We just have to decide if which among B and D the correct answer B “flourished” could also be the answer, but if we would think carefully, we should consider the clause “when the scientific discoveries started”. We just have to remember that scientific discoveries would have to be one of the reasons for the “rebirth” and without those discoveries; the renaissance would not take place. Having said this, the word “flourished” is no longer appropriate.
30. A. C. B. D. Ans: A – Constructivist
is the answer because this theory is about constructing new knowledge based on the prior knowledge or schema.
31. A. C. B. D. Ans: A- “First-rate” has always been an utterance expressing excellence. But if ever this is something new to you and you don’t have any idea about this, then the best thing to do is try the elimination process. Take note that options B, C and D are in some ways related with each other, leaving option a “excellent” isolated. Therefore, it is safe to say that A is the best answer.
32. A. C. B. D. Ans:
B – The answer is B because the word “Pulchritude” means physical beauty and grace. But if ever you have no idea about the dictionary definition of this word, you can use your context clues abilities. The word “Venus” is the most helpful clue. As we all know Venus is the Roman goddess of beauty—this fact will help us in determining the right answer.
33. A. C. B. D. Ans: B – The
answer is B because “herald” means to usher in or to proclaim. But if ever you have no idea about the dictionary definition of this word, just think about one famous Christmas song that goes like “hark the HERALD angel sing….” At times our prior knowledge about words is useful in trying to derive meaning from a given word.
34 A. C. B. D. Ans: B- the answer is B because the word
“automate” means to install or to convert to automation equipment. Thus, “to operate through machines” is indeed the best answer.
35. A. C. B. D. Ans: D – the answer is D
because “reticent” means reserved, “taciturn” (A) means habitually silent, “reserved” (B) means self-restrained. Options A, B and C are almost synonymous, while D “verbose” means wordy. It is also unlikely for a president to be reserved, since that being the head of an organization/state requires a lot of verbal skills.
36. A. C. B. D. Ans: B- “Hiatus”
means gap, and clearly option B “lapse” is the nearest definition. But if you have no idea about the dictionary meaning of “hiatus”, you may use your context clues abilities. By just reading the statement you would have an idea that there is a gap of four years before the persona was able to return to her country.
37. A. C. b. D. Ans: B – by using the elimination
method, we can easily know the best answer .Option A “uncomplicated” and option D “simple” are in some ways synonymous- and so it is but proper to eliminate them from our choices. Option C “worldly” should also be eliminated because a sophisticated thing doesn’t mean that it is worldly.
38. A. C. B. D. Ans: B – “Eureka” has always
been an expression of an abrupt realization or discovery. But if ever you have no idea about this expression, you may use the word “Archimedes” as your clue.
39. A. c. B. D. Ans: C- The
word “Excruciating” has always been an adjective to describe extreme pain. Having said this, option A (mild), B(slight), and D(endurable) are not appropriate to be used in the given
statement about fractured bones. 40.
A. C. C. D. Ans: C- At first reading,
we can already eliminate options A and D. we just have to decide whether “compliant” or “complement” is the suitable answer. “Compliment” means an expression of admiration and praise, while “complement” means a things\ that would complete the whole. Clearly the answer is indeed option C-“complement”
41. A. c.
B. D. Ans: A – The word “Erratic” means not
conforming to standards. It could also mean irregular thus making option A “Inconsistent” the best answer
42. A. C. B. D. Ans: B- this is a give-away question, but you must read it carefully. The answer is B- “ductile” because if a material is ductile, it can be hammered into thin layers without being broken into pieces.
43. A. C. B. D. Ans: D – “Ersatz”
means substitute. Given thus definition, we can say that the closest word to “substitute” is option D-“artificial”. But if ever you don’t have any idea about the dictionary definition, you can easily answer this question by choosing the word that doesn’t go along with the other options. In thus particular item all of the options are quite synonymous except option D.
44. A. C. B. D. Ans: C –
Without even knowing what the word “hubhub” means, since that most of the dictionaries don’t have this word on their list, we can use the classification method in determining the best answer. Among the choices, option C- “commotion” is the only one not synonymous to the other options given, making it the correct and best answer.
45. A. C. B. D. Ans: D –
This question is again a give-away. Even without using the dictionary, we can easily answer this particular item by just looking at the set of options. Option D “honorable” is the answer because among the choices given, it is the only one that is positive.
46. A. C. B. D. Ans: D – The
answer is D “hesitate” because the statement in this item is clearly stating that we should not think twice for time is running out.
47. A. C. B. D. Ans: D – The
word “frivolous” means void of significance and reason. It could also mean trivial or unimportant. That is why option D “worthless” is the best answer.
48. A. C. B. D. Ans: D – the answer is
“courteously” because among the choices given, this is the only attribute is expected from a government employee.
49. A. C. B. D. Ans: B – If we are
to use the process of elimination, we can easily remove options C and D. options a (lanky) and B (Haggard) are the two possible answers. But if we are to think about it, lanky means
shrunken-making it inappropriate, and making option B the best answer.
50. A. C. B. D. Ans: B – “Gullible” is the best
answer because normally, fairy tales and mystery novels have plots that are too fancy to believe in –making readers believe in the impossible and at times in the “illogical”.
51. A. C. B. D. Ans: C –
According to Webster, “Gloat” means to look with cruel or triumphant satisfaction. Unlike the other item where the option has distinction definitions, the options in this item would seem like synonymous with each other. “Scoff” means to mock or to ridicule, “Deride” means to treat with scornful mirth or to ridicule; “Brag” means to vaunt one’s self; and “belittle” means to disparage. But the answer is C “Brag” because “Scoff” and “Deride” are synonymous, while belittle is just like depreciating something.
52. C. D.
Ans: D – the answer is D because the mentioned quotation clearly talks about procrastination 53. A. C. C. D. Ans: D – The answer is “Benevolent dictator” because “benevolence” means act’s of kindness and charity- thus making this the most appropriate answer.
54. A. ` C. B. D. Ans: D – “Lucid” means “clear”- making option C- “;thinking clearly” the most appropriate answer.
55. A. C. B. D. Ans: Using the process of elimination, we can immediately remove options B and C. The answer is D “last defense” because of the clause provided in the statement in this particular item.
56. A. C.
B. D.
Ans: C – The answer is “wither” because most plants can’t bloom, can’t flower, and can’t bear fruits during winter.
57.
A. B. C. D. Ans: C – the answer is C “everyone” will be questioning the recipe” because in terms of tense, this would appropriately complete the sentence. Option C is in the future progressive tense- thus it connotes future action that is more recent and certain – compared to options A and B which are both in the simple future tense wherein we are not certain if the action is certain or not. Remember that the differences between the simple future tense and future progressive tense are in terms recent and certainly- the latter being more recent and certain than the former.
58. A. C.
B. D. Ans: A – “in the event” is the obvious answer since that this phrase is commonly used compared to the other options given. In addition, all the other options, when supplied to the sentence make no sense.
59. A. C. B. D. Ans: C – The answer is
“Pronoun” because all other given options are context words. Content words are those that carry meaning – nouns, verbs, adverbs, and adjectives are samples of this. On the other hand functions words are those that don’t have any meaning if isolated with the content words – preposition, conjunctions and pronouns are samples of this in addition, function words are just there to give support to content words, and so, a sentence filled with function words would be normally dull.
60. A. C. B. D. Ans: “used to” is the answer because this
phrase connotes an actions that was done consistently in the past while the other options that used modals such as could and may connotes ability and possibility
61. A. C. B. D. Ans: B- This item concerns tense.
The answer “has seated” is in the present tense and it truly fits the thought of the sentence. Remember that the present perfect tense connotes actions that started in the past and would have two possible outcomes – (1) still happening, (2) recently ended. In the sentence “She ____ at the computer for 6 long hours”, we are certain if the subject is still using the computer. You might confuse this to be under the past perfect tense because of the sentence followed –“. Finally, she took a break”, remember that if the two independent clauses are not separated by a period like”. She___ at the computer for 6 long hours before she finally took a break” then we must use the past perfect tense. But in this item there are three separate sentences.
62. A. C. B. D. Ans: D – In this item there are only
two separate sentences – unlike item 52. In the sentence “she ______ along with her superior for a long time before she finally decided to look for a new position” thyer are two past actions – (1) the missing action, and (2) decide D. The rule states that if there are two connected past actions in a sentence (the 1st action was still in progress when the 2nd action happened) we
must already use the past perfect progressive tense. 63.
A. C. B. D. Ans: C – In this sentence
“Chun-Li_____English for three years, but she will need more training to be more proficient.”. We will have to choose between present perfect tense or present perfect progressive tense. The difference between the two is that in the former, although the action might still be happening at present time, we are certain that it will end soon, while in the latter we are sure that the
action will still continue in the future. That is the reason why “has been studying” is the answer.
64. A. C. B. D. Ans: C – the answer is “has been
working” because the subject is singular that is why we can’t use have. We must not also use had because it is only used in sentences in the past perfect or past perfect progressive tenses.
65. A. C.
B. D. Ans: C – “And” is the answer because we are just
merely enumerating things
66. A. B. C. D. Ans: D – This item concerns parallelism, and option D is the most appropriate answer.
67. A. C. B D. Ans:
B- We Filipinos are fond of using “fill-out”, but the standard rule is “fill-in”. That is why option b is the most appropriate answer.
68.
A. C. B. D. Ans: B –
Remember that “I” is used as the subject or the doer of the action, while “me” is used as the receiver of the action. In the sentence given in this item the pronoun is the receiver of the action and that is why “me” is the answer.
69. A. C. B. D. Ans: B –
Always remember that verbs of senses mat take two forms, (1) as a linking verb, or as an (2) action verb. If it functions as a linking verb, then it must be followed by an adjective. On the other hand, if it functions as an action verb, then it must be followed by an adverb. In this sentence, since that candy is not capable of moving, we can say that “smells” functions as a linking verb, so it must be followed by the adjective “sweet”.
70. A. C.
B. D. Ans: B – This item concerns parallelism, and option B is
the most appropriate answer.
71. A. C. B. D. Ans: A – “Bear” is the answer
because all the other words have the long /i/ sounds.
72. A. C.
B. D. Ans: D – “Signed” is the answer because it only has one syllable and that affected its ending /ed/ sound.
73.
A. C. B. D.
Ans: B – “Warm” is the answer because based on the question, we are to emphasize the kind of day.
74.
A. C. B. D.
Ans: D – “Played” is the answer because all the other words are with /t/ end sounds.
75. A. C.
B. D. Ans: D – “Buys” is the answer because all other
given words end with /s/ sounds “buys” ends with /z/ sound because the sound before the letter “s” is voiced.
76. A. C. B. D. Ans: B – “These” is the answer because all the other choices start with voiceless /th/. To know if the /th/ sound is voice or voiceless, just cover your ears or put your fingers on your throat and feel if there are vibrations. If there are, then it is voiced, if none, then it is voiceless.
77.
A. C. B. D. Ans: B – “Can” is
the answer because all other options has either a schwa sound or /a/ sound.
78. A. C. B. D. Ans: B –
“Breath” is the answer. To know if the /th/ sound is voiced or voiceless, just cover your ears or put your fingers on your throat and feel if there are vibrations. If there are, then it is voiced, if none, then it is voiceless.
79. A. C. B. D.
Ans: “Leisure” is the answer because all the other options have the /sh/ sounds. 80.
A. C. B. D.
Ans: D – “Needed” is the answer because among the given options it is only one with more than one syllable-that changed the ending /ed/ sound to /id/.
81. A. C. B. D. Ans:
B – “Push” is the answer because all the options have either /zh/ or /s/ sounds.
82. A. C. B. D.
Ans: B – “Excursion” is the answer because all the other options have either /ch/ or /sh/ sounds.
83. A.
B. C. D. Ans: A – In the process of illumination, we can eliminate options C and D because they are too literal. A is a better answer than B because the passage is not about death.
84. A. B. C. D. Ans: A – A is the answer because it is the only positive option given. All other options are against
Filipinos leaders.
85. A. C.
B. D. Ans: B – Because of the context clues found on the statement like “herald” and “day”. These clues will lead us to choosing “dawn”
86. A. C. B. D. Ans: D – We can immediately
eliminate option A for the opposite of the statement. D is the better answer than B and C because it has a more positive outlook/interpretation of the lines.
87. C. D.
Ans: D – “Has its end” and “Passing” would be the two most appropriate answer, but D is better because of the clues found in the statement like “heard no more.”
88.
Ans: B – “Destiny” is the obvious answer for all the other options are determined by the will of the person – one thing that differs destiny from the rest.
89. A. B. C. .
Ans: B – We can immediately eliminate b because it is the opposite of the statement. Options C and D are too negative, and that leads us to the best answer which is A.
90.
A. C.
B. D.
Ans: A – Because the quotation given is one of Manuel L. Quezon most famous.
91. A. C.
B. D.
Ans: A – Because the quotation given is one of Benigno Aquino’s most famous quotes, plus the fact that this quotation can be found on our 500 peso bill.
92.
A. C.
B. D. Ans: D – “Curiosity” and “rich Imagination”
would be our two possible answers, but D is better than c because asking “why” is being curious, while asking “;why not” is being imaginative.
93. A. C.
B. D.
Ans: C – “Joy” Because it is the only word that fits the statement right, plus the fact that this quotation is one of the most famous.
94. A. C.
B. D.
Ans: C – “Total submission to God” is the best answer because all the other options are not related to the given line.
95.
A. C.
B. D. Ans: C – Jose Rizal
96.
A. C. B. D.
Ans: Nick Joaquin
97.
A. C.
Ans: C – These lines were taken from the musical “Cats” and if we are to read/sing these lines, loneliness would be the obvious emotion.
98.
A. B. C.
D..
Ans: D – Is the best answer because all other options debunk the main statement. 99. A.
B.
C. D.
Ans: D – Is the most appropriate answer because all other options are not in anyway related to the quotation and some options debunk the statement.
100.
A. B. C. D.
Ans: C – Because option C somewhat states that our commitments would describe and determine the person that we are.
MATHEMATICS
1. When John sorts his collection of computer card games into groups of 3, 4, 5, or 8, there is always one card left. What is the smallest number of cards John can have?
a. 80
b. 65 c. 120d. 121
ANS: D 121
LCM of 3, 4, 5 and 8 is 120 plus 1 equals 121.
1. The product of
x
x
(
¿¿
2 m+x
m+1)
(
¿¿
m−1)
¿
¿
a.x
3 m+
1
b.x
3 m−1
c.x
3 m+
x
m+
1
d.x
3 m−
x
m+1
e. ANS: Bx
3 m−1
f. Special product – difference of 2 cubes g. 2. Evaluate 3x – 2 [x – (2x + 1)] a. 3x – 2 b. 5x + 2 c. 3x + 2d. 5x – 2 e. ANS: B 5x + 2 f. 3x – 2 [x – (2x + 1)] g. h. = 3x – 2 [x – 2x – 1] i. j. = 3x – 2 (– x – 1) k. l. = 3x + 2x + 2 = 5x + 2 m. 3. Evaluate
√
27−
√
12
–√
3
. a. 0 b.√
23
c. d.√
33
e. -√
3
f. ANS: A 0 g.√
27−
√
12
–√
3
h. i. =√
9(3)
–√
4 (3)
–√
3
j. k. = 3√
3
– 2√
3
–√
3
= 0 l. 4. The value of 64 - 2/3 a.1
8
b.1
4
c. d. 16 e. f.16
1
ANS: D16
1
g. 64 - 2/3h.
=1
3
√
64
2 =1
4
2 =1
16
i.
j. k. l. m. n. o. p. q. r. 5. Simplify2
−1∙
3
−1( 2
−1+
3
−1)
a.
5
6
b. c.36
5
d. e.36
5
f. g.6
5
h. ANS: B36
5
i.j.
=2
−1∙
3
−1( 2
−1+
3
−1)
k.
l.
=1
2
∙
1
3
(
1
2
+
1
3
)
m.
n.=
1
6
(
3+2
6
)
=5
36
o.6. Mr. Reyes can dig a ditch in 6 days and Mr. Roxas in 8 days, in how many days can both men
together dig the ditch?
a.
20
7
b. c.24
7
d. e. 14 f. g. 7h. ANS: B Let x = number of days both men can dig the ditch i.
j.
6
1
+
1
8
=
1
x
k.l.
X =24
7
m.7. One-third of a certain number exceeds 12 by as much as 100 exceeds the number. What is the number? a. 64 b. 84 c. 60 d. 80 e. ANS: B 84 f. Let x = number g.
1
3
X −12=100−x
h. X = 84 i.8. Ann is two-thirds as old as her sister. Twenty years from now, she will be seven-eighths as old. How old is Ann? a. 12 b. 10 c. 9 d. 8 e. ANS: D 8
f. Let x = age of Ann’s sister g.
2
3
x = age of Ann
h. i.2
3
x + 20 =7
8
(x + 20) j. k. X = 123
2
x = 8 l. m. n.9. Find two numbers such that if 3 is subtracted from each of them they will be in the ratio 2:1, while if 5 is added to each of them they will be in the ratio 4:3
a. 10, 6 b. 12, 8 c. 11, 8 d. 11, 7 e. ANS: D 11, 7 f.
x−3
y −3
=2
1
x +5
y −5
=4
3
g. h. X = 11 and y = 7 i.10. How many different committees of 4 can each be chosen from a class of 15 members? a. 4 b. 1365 c. 60 d. 32760 e. ANS: B 1365 f. 15C4 = 1365 g.
11. The LCM of two counting numbers is 42 and their GCF is 7. If one of them is 14, what is the other number? a. 15 b. 21 c. 14 d. 42 e. ANS: B 21 f. LCM of 14 and 21 is 42 g. GCF of 14 and 21 is 7 h. 12. What is 135
°
in radians? a.5 π
8
b. c.3 π
4
d. e.2 π
3
f. g.5 π
3
h.
ANS: B3 π
4
i. 135°
∙π
180 °
=
3 π
4
j.13. If the points (-2, 0), (-2, 3) and (4, 3) are connected to each other, what kind of triangle is formed?
c. Obtuse d. Isosceles e. ANS: B Right Triangle
f. 2 sides are perpendicular (with 90
°
angle)g.
14. The distance between points (3, -2) and (-2, 3) is? a. 5 b. c.
√
25
d. e.√
52
f. g. 50 h. ANS: C√
52
i. d =√
(3+2)
2+(−2−3)
2=
√
50
=√
52
j.15. In how many ways a radiologist assign 5 patients to undergo a screening test for pulmonary tuberculosis x-ray? a. 10 b. 60 c. 120d. 5 e. ANS: C 120 f. 5! = 120 g.
16. In how many ways can 6 different trees be planted in a circle? a. 6
b. 120 c. 5d. 720
e. ANS: B 120
f. (6 – 1)! = 5! = 120 Circular Permutation
g.
h. PROBLEMS FOR 18 – 22. A BOX CONTAINS 2 RED, 3 WHITE, AND 4 BLUE BALLS. IF 3 BALLS ARE DRAWN AT RANDOM WITHOUT REPLACEMENT, DETERMIINE THE
PROBABILITY THAT: i.
17. All three are blue? a.
3
7
b. c.7
2
d. e.21
1
f. g.21
2
h. ANS: C1
21
P (all 3 balls are blue) =4
9
∙
3
8
∙
2
7
=
1
21
i.18. 2 are blue and 1 is white? a.
3
7
b. c.21
1
d. e.14
3
f. g.h.
1
21
ANS: C3
14
P (2 are blue and 1 is white) =4
9
∙
3
8
∙
3
7
=
3
14
i. 19. At least 1 is blue? a.14
3
b. c.37
42
d. e.42
3
f. g.h.
21
1
ANS: B37
42
P (at least 1 is blue) = 1 – P (no blue) = – 1 –5
9
∙
4
8
∙
3
7
=
37
42
i. j. k. l. m. n.20. 3 balls drawn in succession are red, white and blue? a.
14
3
b. c.21
1
d. e.7
1
f. g.17
3
h.
ANS: B1
21
P (RWB) =2
9
∙
3
8
∙
4
7
=
1
21
i.21. 3 balls are of different colors? a.
1
7
b. c.4
7
d.1
14
e. f.2
7
g. h. ANS: D2
7
P (3 different colors) =2
7
(find it)
i.22. What is the average of
1
2
,
1
3
and =1
6
?a. 1 b. c.
6
1
d. e.1
3
f. g.1
4
h. ANS: C (1
2
+
1
3
+
1
6
) ÷
3
=
1
3
i.23. A meter stick was cut into 2 pieces at the 36cm – mark. What is the ratio of the smaller piece to the largest piece?
a. 16:25 b. 13:50 c. 9:25 d. 9:16 e. ANS: D 9:16 f. 1m = 100cm g. 36 cm : 64 cm = 9:16 h.
24. The perimeter of a rectangle is 10 ft. what is the width if the length is 4 ft? a. 1 ft b. 2 ft c. 1.5 ftd. 2.5 ft e. ANS: A 1 ft f. Let w = width g. 2w + 2(4) = 10 h. W = 1 ft i.
25. The total surface area of a cube with volume 8 cubic centimeters. a. 8 sq. cm
b. 24 sq. cm
c. 12 sq. cm d. 36 sq. cm e. ANS: B 24 sq. cm Let x = side of the cube
f. V = 8 cc = x3
g. X = 2 cm.
h. A = 6x2 = 6(2)2 = 24 sq. cm
26. The height of a right triangle with the base 5 cm and area of 30 sq. cm a. 24 cm b. 12 cm c. 8 cmd. 4 cm e. ANS: B 12 cm f. A =
1
2
bh g. 30 =1
2
(5) h h. h = 12 cm i.27. How much interest is due on P3, 500 at 6
3
4
for 9 months? a. P 187. 19b. P 18. 71 c. P 177. 19d. P 17. 71
e. ANS: C P 177. 91
f. I = P3500 (.0675)(9/12) = P = 177. 19
g.
28. If an investment of P25, 000 accumulates to P27, 500 in 18 months. Find the simple interest rate. a. 6
3
4
% b. 6% c. d. 62
3
%e. 6
1
3
% f.g. ANS: C 6
3
2
% r =P 27, 500−P 25, 000
P 27, 500
= 63
2
% h.29. The probability that a man will live 5 years more is
3
4
and the probability that his wife will live5 years more is
1
3
. What is the probability that both will still live 5 years more?a.
2
3
b. c.1
4
d. e.1
2
f. g.1
6
h.
ANS: B1
4
P (both will live) =
3
4
∙
1
3
=
1
4
i.30. There are 3 dozens of eggs sold at P 2. 28 per piece if a whole seller gets 5% discount, how much will be paid for all?
a. P78.22 b. P77.98 c. 92.00 d. 82.08 e. ANS: B P77.98 f. 3 x 12 x P2.28 x 95% = P77.98 g.
31. Write in simple form (3ab)2
a. 3a3b3 b. 9a2b2 c. 3a2b d. 27a2b e. ANS: B (3ab)2 = 9a2b2 f. g. h. i. j. k. l.
32. A mile is about 1.609 km. How many meters longer is a mile than a kilometer? a. 600 m
b. 1000 m c. 609 md. 1609 m
e. ANS: C 609 m
f. 1km = 1000m
g. 1 mile = 1.609 km = 1609 meters
h. 1 mile – 1km = 1609 meters – 1000 meters = 609 meters i. 33. How much is 20% of 60% of 200? a. 120 b. 48 c. 24 d. 40 e. ANS: C 24 f. 20% of 60% of 200 = (0.2)(0.6)(200) = 24 g.
a. 12 m b. 18 m c. 14 m d. 15 m e. ANS: D 15 m f. 12 (1.25 m) = 15 m g.
35. One hectare is equivalent to 10, 000 sq. m. How many hectares are in a rectangular field which is 750 m wide and 800 m long?
a. 120 ha b. 56 ha c. 60 ha d. 40 ha e. ANS: C 60 ha f. (750 m)(800 m) = 600, 000 sq. m. g. 600, 000 ÷ 10, 000 = 60 ha h. 36. Find
(1
2
5
)(1
1
4
)
a.
7
16
b. 4 c. d.1
5
e. f.3
4
g. h.4
5
i. ANS: A 4(1
2
5
)(1
1
4
)= (1
2
5
)(1
1
4
)=
35
20
∙
16
7
=
4
j.16
7
16
7
k. l.37. How many 75-gram packs of sugar can be made from a 30-kilogram sack? a. 40 b. 2500 c. 400d. 250 e. ANS: C 400 f. 1 kg = 1000 g g. 30 kg = 30, 000 g h. 30, 000 ÷ 75 = 400 i.
38. A rectangular sheet of paper is folded in half. Then it is folded again in half, and again half. If the folding in half is 5 times and the edges are creased each time, how many small rectangles will you see when you unfold the original sheet of paper?
a. 32
b. 16 c. 10 d. 64
e. ANS: A 32 Since the folding in half is done 5 times, the number of small rectangles form is 25 = 32
f.
39. The letters A, B, C, D, have numerical values of 1, 2, 3, 4,… and so on, what is the sum of the letters in D A V I D? a. 40 b. 37 c. 39d. 41 e. ANS: A 40 f. D = 4 A = 1 V = 22 I = 9 D = 4 g. 4 + 1 + 22 + 9 + 4 = 40 h.
40. What two numbers have the sum of 35 and a product of 306?
c. 16.5 and 8.5 d. 17 and 18
e. ANS: D 17 and 18 17 + 18 = 35 17(18) = 306
f.
41.What is the total cost of refrigerator if it entails a down payment of P1400 and 15 monthly installments of P900?
a. P14, 400 b. P13, 000
c. P15, 800 d. P14, 900 e. ANS: D P14, 900 Total cost = P1, 400 + 15(P900) = P14, 900 f.
42. What is the sum of the first 20 positive numbers? a. 400
b. 420 c. 210d. 105
e. ANS: C 210
f. Sum of arithmetic progression
g. n = 20 = number of positive numbers
h. a = 1st term = 1
i. I = last term = 20
j. S =
20
2
(1 + 20) = 210k.
43. The length and width of a rectangle are (3x –2) and (2x + 1), respectively. What is the perimeter of the rectangle? a. 6x2 – x -2 b. 10x + 2 c. 10x – 2 d. 5x – 1 e. ANS: C 10x – 2 f. P = 2(length) + 2(width) g. P = 2(3x–2) + 2(2x+1) = 10x–2 h. i. j. k. l. m.
44. A merchant bought shoes at P100 a pair. She tagged them at 10% more. Then she advertised a new cost, which is 10% less than the tagged price. Did she lose or did she gain?
a. She did not lose nor gain b. She gained by one peso or pair
c. She lost by 2% of the cost price of each pair d. She lost by one peso per pair
e. ANS: D She lost by P1 per pair P100 x 1.10 = P110
f. P110 – 10% of P110 = P110 – P11 = 99
g. P100 – P99 = P1 lost
45. Which of these numbers is NOT divisible by 15? a. 431640
b. 321690 c. 461305d. 630465
e. ANS: C 461305
f. A number is divisible by 15 if it is divisible by 5 and divisible by 3. Although 461305 is divisible by 5, it is not divisible by 3. Therefore it is not divisible by 15. g.
46. What is the average of 1/2 and 1/4? a. 2/8 b. 3/8 c. 3/4 d. 1/3
e.
ANS: B 3/8 (1
2
+
1
4
) ÷ 2 =3
8
f.47. One-fifth of the square root of a number is 4. What is the number? a. 400
e. ANS: A 400
1
5
√
x
= 4√
x
= 20 x = 400 (the number) f.48. For what side of a square are the perimeter and area numerically equal? a. 2 b. 8 c. 4 d. 12 e. ANS: C 4 f. Perimeter of square = 4S g. Area of square = S2 h. S2 = 4S therefore S = 4 i.
49. How much bigger is 29 than 92 ?
a. 431 b. 175 c. 47 d. 73 e. ANS: A 431 29 – 92 = 512 – 81 = 431 f.
50. A dinner offer choices of 7 appetizers. 12 main dishes, and 6 desserts. How many ways can you choose one of each course?
a. 72 b. 504 c. 25 d. 84 e. ANS: B 504 (7)(12)(6) = 504 f. g. h. i. j.
51. What are the two missing numbers in the sequence? 1, 2, 4, 7, 11, 16, ____, 29, ____, 46 a. 22, 35 b. 23, 36 c. 23, 38 d. 22, 37 e. ANS: D 22, 37 f. 22 is obtained by adding 6 to 16 g. 37 is obtained by adding 8 to 29 h.
52. Two cars start two places 180 km apart and travel toward each other on a super highway. The speed of the two cars are 45kph and 35kph respectively, if they drive without stopping, in how many hours will they meet?
a. 72
b. 504 c. 25d. 84
e. ANS: 2.25 hours
f. Distance = rate x time
g. 45t + 35t = 180 km
h. 80t = 180 km
i. t = 2.25hrs
j.
53. A dress mark P240 was put on a sale at a 25% discount. Because no one bought it, it sale price was reduced further by 10%. What is the combined percent discount given?
a. 27% b. 32.5% c. 16.2% d. 35% e. ANS: B 32.5% f. 100% – 25% = 75% g. 100% – 10% = 90% h. (75%)(90%) = (0.75)(0.90) = 0.675 = 67.5% i. Combined discounts = 100% – 67.5% = 32.5% j.
54. The volume of a box is 480 cu. cm. If it is length is 24 cm and height is 5 cm, what is its width? a. 5 cm
b. 4 cm c. 6 cmd. 8 cm
e. ANS: B 4 cm V = LWH
f. 480 = 24(W)(5)
h.
55. What are the next three numbers in this sequence? 1/6, 1/3, 1/2, 2/3,… a. 7/3, 4, 9/3
b. 45/6, 1, 7/6
c. 5/2, 7, 2/3 d. 5/6, 2/6, 7/3 e. ANS: 5/6, 1, 7/6
f. Add 1/6 from each preceding term,
g. For example: h.
1
6
+
1
6
=
2
6
=
1
3
2
6
+
1
6
=
3
6
=
1
2
and so on. i.56. How much greater is 3/4 of 96 than 4/5 of 80? a. 18
b. 12 c. 6d. 8
e. ANS: D 8
3
3
(96)−
4
5
(
80)=72−64=8
f.
g.
57.
A square has an area of 400 sq. cm. what is its perimeter?a.
20 cmb.
80 cmc.
100 cmd.
40 cme. ANS: B 80 cm A = S2 = 400
f. Therefore ach side S = 20 cm
g. P = 4S = 4(20) = 80 cm
h.
58. In one senior class, 1/3 of the students are honor students. Of these honor students 2/7 are varsity athletes. If there are four athletes in the class, how many students are there in the class?
a. 84 b. 42
c. 52 d. 60 e. ANS: B 42
f. Let x = number of students
g. 1/3 x = Honor students
h.
7
2
(
1
3
)
=4
Varsity students
i.2 x
21
=4
therefore, x = 42 j.59. A man started painting a wall at 9:00 a.m. and was able to finish painting 3/5 of it at 10:30 a.m. Continuing at this rate, at what time will he finish painting the wall?
a. 10:45 a.m. b. 11:30 a.m.
c. 11:45 a.m. d. 12:15 a.m. e. ANS: B 11:30 a.m.
f. Let x = total number of hours to finish the painting g.
9 :00 a . m.
3
5
x=1.5 hours (
¿
10 :30 a .m .)
h. X = 2.5 hrs.
i. Therefore, the man needs 1 more hour to finish the painting. He will finish at 11:30 a.m.
j.
60. In am math of class of 14 students, 9 students had an average of 76, while the other 5 students had an average of 90. What is the average of the whole class?
c. 81 d. 85 e. ANS: C 81
76 ( 9)+90(5)
14
=81
f.
61. The product of two whole numbers is 36, and the ratio is 1:4. Which of these is the smallest number?
a. 9
b. 12 c. 2d. 3
e. ANS: D 3
f. Divisors of 36 such that the product is 12 and the ration 1:4 are 3 and 12. g. Therefore, the smallest number is 3.
h. 62. a5 + a5 a. a25 b. 2a5 c. a10 d. (2a)5 e. ANS: B 2a5 a5 + a5 = 2a5 f.
63. The edges of a rectangular solid have these measures; 1.5 feet x 1/2 feet by 3 inches. What is its volume in cubic inches?
a. 272 cu. in.
b. 324 cu. in. c. 225 cu. in.d. 27 cu. in. e. ANS: B 324 cubic inches
f. 1.5 ft = 18 inches
g. 1/2 ft = 6 inches
h. V = (18)(6)(36) cubic inches = 324 cubic inches
64. If a faucet drips at the rate of 3 drops every 5 seconds, how many drops will fall in one minute? a. 36 b. 60 c. 15 d. 100 e. ANS: A 36
60
x
=
3
5
x = 36 drops f. 1 minute = 60 seconds g.
65. Three out of 24 flashlights turned out by a particular factory are found to be defective. If the factory turns out 1248 flashlights in a week, how many are defective?
a. 416
b. 18 c. 72d. 156
e. ANS: D 156
f.
1248
x
=
3
4
x = 156 g.66. How many seconds are there in 24-hour day? a. 85, 400
b. 1440
c. 86, 400 d. 1540 e. ANS: C 86, 400
f. 1 hr. = 60 min. 1 min. = 60 seconds
g. h.
24 hrs x
60 min.
hr
x
60 sec .
min .
=86, 400 sec .
i.67.
Three brothers inherited a cash amount of P120, 000 and they divide it among themselves in the ratio of 5:2:1. How much more is the largest share than the smallest share?a.
P75, 000b.
P60, 000c.
P15, 000e.
ANS: B P60, 0005
8
(
P 120,000)=P75,000(largest share)
f.g.
1
8
(
P 120,000)=P15,000(smallest share)
h. P75, 000 – P15, 000 = P60, 000 i.68. Jelena’s grades in 3 math quizzes are 82, 78, and 86. What grades should she get in her next quiz to raise her average to 85?
a. 94 b. 90 c. 88 d. 97 e. ANS: A 94
82+78+86+x
4
=85
f. X = 94 (4th quiz) g.69. A water tank contains 8 liters when it is 20% full. How many liters does it contain when it is 75% full? a. 15 b. 30 c. 60 d. 58 e. ANS: B 30
f.
75
x
=
8
20
x
0.75
=
8
0.20
x=30 liters
g.
70. Babes spent one-sixth of her money in one store. In the next store, she spent three times as much as she spent in the first store, and had 80 pesos left. How much money did she have at the start?
a. 252 pesos
b. 240 pesos c. 300 pesosd. 360 pesos
e. ANS: B 240 pesos
f. Let X = amount of money at the start
x−
[
1
6
x +3
(
1
6
x
)
]
=80
g.
X = P240
h.
71. The surface area of a cube is 150 sq. cm. What is the volume of the cube? a. 100 cu. cm
b. 625 cu. cm
c. 125 cu. cm d. 270 cu. cm e. ANS: C 125 cubic cm
f. Surface area of a cube = 6S2
g. 6S2 = 150 where S = side of a cube
h. S2 = 25 S = 5cm
i. Volume of a cube = S3 = 53
j.
72. What part of an hour has passed from 2:48 p.m. to 3:20 p.m.? a. 8/2.5 b. 7/8 c. 8/15d. 1/3 e. ANS: C 8/15 f. 2:48 p.m. to 3:20 p.m. = 32 min. g. 32 min. ÷ 60 min. = 8/15 h.
73. Forty people joined a picnic. If the ratio of adults to children in 5:3, how many children joined the picnic?
a. 25
b. 15 c. 8d. 5
e. ANS: B 15
g.
74. The carat is a unit of a measure used to weigh precious stones. It equals 3.086 grains. How many grains does a 2.8- carat diamond weigh?
a. 864.08
b. 86.408 c. 8.6408d. 8640.8
e. ANS: C 8. 6408
2.8 carat x
3.086 grains
carat
=8.6408 grains
f.g. h. i.
75.If P75.00 is shared among three children in the ratio of 3:7:15, the size of the smallest share is a. P9
b. P15
c. P25 d. P35 e. ANS: A P9 smallest share
f.
76.
10−3
17
2
=
¿
a. 7 2/17b. 6 2/17 c. 6 1/17d. None of these
e.
ANS: D 6 15/17 (None of these)10−3
2
17
=9
17
17
−3
2
17
=6
15
17
f.77. Which are the next three terms in the progression 1, 4, 16,…8 terms? a. 64, 256, 1024
b. 67, 2591027 c. 66, 258, 1026d. 65, 2571025
e. ANS: A 64, 256, 1024
f. The next term is obtained by multiplying 4 from the preceding term. For example 4, is obtained by multiplying 1 by 4 16 is obtained by multiplying 4 by 4 and so on. g.
78. Which is equivalent common fraction of the repeating decimal 3.242424…? a. 107/33 b. 110/33 c. 109/33 d. 108/33 e. ANS: A 107/33 3.242424…
¿
3
24
99
=
321
99
=
107
33
f.79. Which is the 10th term of the progression -8, 4, -2,… a. 1/64
b. 1/65 c. 1/65d. 1/66
e. ANS: A 1/64
f. -8, 4, -2,… is a geometric progression
g. l = arn-1
h. l = 10th term = last term
i. a = 1st term = -8 j. r = common ratio = -1/2 k. n = number of terms = 10 l. therefore, l = 10th term
¿
(−8)
(
−1
2
)
10-1 m.¿
8
2
9=
8
512
=
1
64
n.80.What is the sum of all the two digit numbers which are divisible by 5?
c. 960 d. 1050 e. ANS: A 945
f. Two digits numbers which are divisible by 5: g. 10, 15, 20, 25, 30, 35, 40,…,95
h.
S=
n
2
(
a+1)=
8
12
(
10+95 )=945
i. j. k.81. You buy a new refrigerator for P12, 800.00 and make a down payment of P2, 500.00. if you finance the remainder at 8% annual interest for three years, how much will you actually pay for the refrigerator? a. 12, 190.00 b. 10, 300.00 c. 12, 772.00 d. 15, 272.00 e. ANS: D P15, 272 f. P12, 800 – P2, 500 = P10, 300
g. P10, 300 (0.80) = P824 interest per year h. P824 x 3 = P2, 472 total interest for 3 years
i. Total amount paid = P12, 800 + P2, 472 = P15, 272 j.
82. In how many ways can you arrange three mathematics books (Algebra, Geometry, Trigonometry) in any order on a shelf?
a. 6 b. 8 c. 12 d. 24 e. ANS: A 6 f. Permutation 3! = 3.2.1 = 6 g.
83. How many gallons of water will fill a fish tank that is 13 inches by 12 inches by 48 inches? (There are 231 cubic inches per gallon). Round of your answer to the nearest gallon.
a. 45 gallons b. 40 gallons
c. 32 gallons d. 47 gallons e. ANS: C 32 gal.
f. (13)(12)(48) cubic inches = 7, 488 cubic inches
g. 7, 488 cubic inches ÷ 231 cubic in per gal. = 32.42 gal. h.
84. How much topsoil is needed to cover a garden 25 feet by 40 feet to a depth of 6 inches? a. 480 cu. ft
b. 440 cu. ft c. 500 cu. ftd. 460 cu. ft
e. ANS: C 500 cu. ft
f. Volume = (25 ft.)(40 ft.)(0.5 ft) = 500 cubic ft. g.
85. How much larger is the supplement of a 57 degree angle than the complement of a 75 degree angle?
a. 108 degrees
b. 18 degrees c. 05 degreesd. 123 degrees
e. ANS: A 108 degrees
f. Supplement of a 57
°
angle = 180°
– 57°
= 123°
g. Complement of a 75
°
angle = 90°
– 75°
– 15°
h. Therefore, 123 degrees – 15 degrees = 108 degrees i.
86. The hypotenuse of a right triangle is 25 feet. If one leg is 24 feet, what is the length of the other leg?
a. 6 ft. b. 5 ft.
c. 20 ft. d. 7 ft. e. ANS: D 7 ft. By Pythagorean theorem,
f. X2 + (24) = (25)2
g. X2 + 625 – 576 – 49
i. j. k.
87. How many ways can a committee of 4 people be selected from a group of 7 people> a. 35 b. 70 c. 140d. 210 e. ANS: A 35 Combination 7
C
4 =7 !
(7−4) !$ !
=35
f.88. If the price of a round trip fare to Batangas is P285, how much will it cost a family of four if the husband pays full rate fare, the wife pays 2/3 of full fare, and the two children each pay 1/2 of the regular price? a. P475.00 b. P570.00 c. P760.00 d. P1,140. 00 e. ANS: C 760 f. Husband = P285 g. Wife = 2/3 (P285) = P190 h. 2 Children = P285 i. Total fare = P285 + P190 + P285 = 760 j.
89. What is the missing term in the series? 2, 5, 11, 23, 47, ____. a. 115 b. 95 c. 105d. 125 e. ANS: B 95 f. 2 5 11 23 47 95 g. 3 6 12 34 48 h.
90. Find the GCF of 18 and 36? a. 2 b. 6 c. 18d. 9 e. ANS: C 18 f. The GCF of 18 and 36 is 18 g. 18 = 1 x 18 36 = 2 x 18 h.
91. Write the expression 3x2 + x in factored form.
a. 3x2 (1 + 1)
b. 3x3 (1 + x)
c. x(3x + 1) d. 3(x2 + 1)
e. ANS: C x(3x + 1)
f. 3x2 + x = x(3x + 1) common monomial factor
g.
92.If a car travels 96 miles on 8 liters gas, how far can the car travel on a full tank of gas that holds 20 liters?
a. 235 miles
b. 245 miles c. 230 milesd. 240 miles
e. ANS: D 240 miles
f.
20
x
=
96
8
x=240 miles
g. 93. If x – 6 > 24, then a. x > 6 b. x > 30 c. x > 4d. x > 24 e. ANS: B x > 30 f. x – 6 > 24 g. x > 24 + 6 h. x > 30 i.94. Which of the following is/are TRUE? I. x3 – y3 = (x – y) (x2 + y2)
II. (5x – 2y)(5x – 2y) = 25x2 – 20xy + 4y2 III. x2 + y2 = (x + y) (x + y) a. I only b. I and III c. II only d. I and II e. ANS: C II only
f. (5x – 2y)(5x – 2y) = 25x2 – 20xy + 4y2 g.
95. Yeyet has 5 blue T – shirts and 7 orange T – shirts. If she pick one T – shirt at random, what is the probability that it will NOT be blue?
a. 1/2 b. 1/6 c. 17/12 d. 5/12 e. ANS: 7/12 f. P(not blue) = 7/12 g.
96. If a baseball player hits 10 home runs in the first 45 games, at the same rate how many home runs can he expect to hit during the 162 – game season?
a. 38 b. 40 c. 42d. 36 e. ANS: D 36
x
162
=
10
45
f. x = 36 homeruns g.97. What is the smallest number which can be exactly divided by 18, 27, and 15? a. 900
b. 27 c. 7/12d. 5/12
e. ANS: D 270 The smallest number (LCM) which can be exactly divided by 18, 27, and 15 is 270
f.
98. A certain bank issue 3 – letter identification code to its customer. If each letter can be used only once per code, how many different codes are possible?
a. 17, 576
b. 78 c. 270d. 3
e. ANS: 15, 600
f. Since there are 26 English Alphabet (letters) and no repetition is allowed, therefore the number of different codes is equal to 26.25.24 = 15, 600
g.
99. What is the volume of a cube whose surface area is 54 a. 54 b. 81 c. 729 d. 27 e. f. ANS: D 27 g. 6S2 = 54 h. S2 = 9 i. S = 3 S3 = 27
j. FILIPINO
k.
1.
a. c.
b. d.
l. Sagot: A- Ang alibata ang isang sitema ng pagsulat ng mg ninunong Pilipino bago pa man dumating ang mga Kastila sa Pilipinas.
2.
a. c.
b. d.
m. Sagot: B- Ang ponema ay tumutukoy sa mga makahulugang tunog ng isang wika.
3.
a. c.
b. d.
n. Sagot: B- Ang wika ay kasangkapan sa komunikasyon at katulad ng iba pang kasangkapan, kailangan patuloy itong ginaganit.
4.
a. c.
b. d.
o. Sagot: B- Kapag nagkaroon ng mga makahulugang palitan ng mga pangungusap ang dalawa o higit pant tao ay nagkakaroon na ng tinatawag na diskurso.
5.
a. c.
b. c.
p. Sagot: C- Kapag binigkas ang mga titik p/b/ at /m ginagamit ang labi upang magkaroon ng tunog.
6.
a. c.
b. d.
q. Sagot: A- Tumutukoy ang morpolohiya sa makaagham na pag-aaral ng mga makabuluhang yunit ng isang salita o morpema.
7.
a. c.
b. d.
r. Sagot: B- Ang pangungusap ay maari ring masuri batay sa ugnayan ng pandiwa at paksa. Ito ay tinatawag na pokus. Naipakikita itosa pamamagitan ng taglay na panlapi ng pandiwa.
a. c.
b. d.
s. Sagot” A- Ang ponolohiya ng Filipino ay may 21 ponema- 5 patinig at 16 na katinig.
9.
a. c.
b. d.
t. Sagot: D- Ang teoryang pooh-pooh ay nagsimula sa masisidhing damdamin gaya ng tuwa at takot.
10.
a. c.
b. d.
u. Sagot: B- ang bawat pook ay may sariling dayalekto. 11.
a. c.
b. d.
v. Sagot: B- Isinasaas sa 1896 Konstitusyon na Filipino ang wikang pambansa na batay sa mga wikain sa Pilipinas.
12.
a. c.
b. d.
w. Sagot: D- Si Manuel L. Quezon ang nagpanukala na magkaroon ng isang pambansa sa Pilipinas.
13.
a. c.
b. d.
x. Sagot: D- Si Lope K. Santos ang gumawa nd ADAKADA bilang alpabetong Pilipino na batay sa tagalong lamang.
14.
a. c.
b. d.
y. Sagot; A- Ang pormal na salita ay mga salitang tanggap at gamitin sa mga paaralan at pamahalaan bilang wika ng komunikasyon. z.
15.
a. c.
aa.Sagot; B- Ang wika bilang instrumento ay tumutugon sa mga pangangailangan ng tao gaya ng pakikiusap o pag-uutos. 16.
a. c.
b. d.
ab.Sagot; A – Ang lokyusyunari ay isang speech act na nagpapakita na akto ng pakikipag-usap ng isang tao sa kapwa.
17.
a. c.
b. d.
ac. Sagot; A – Ang tekstwal kompitens ay isang kasanayan sa pagsulat nang organisado at may kohirens.
18. 19.
a. c.
b. d. Sagot: C- Dahil ang pagbasa ay hindi lamang
gawaing sensori higit sa lahat, isang gawaing pangkaisipan. 20. .
a. c.
b. d.
ad.Sagot: D- Pinakikita na puro ang mga salitang ginamit na batay sa Tagalog.
21.
a. c.
b. d. Sagot: C- Ang salitang kamusta ay pangkaraniwang gamit sa pakikipag-usap. ae. af. ag. ah. 22. a. b. c. d.
ai. Sagot: A- Isa sa tuntunin sa ortograpiyang Filipino na kung ang salita na pantangi ay walang katumbas sa Filipino ito ay hihiramin ng ganap.
23.
b. d.
aj. Sagot: B- Ang pagkautal ay isang depektong pisikal sa pagsasalita. 24.
A. c.
B. d.
ak.Sagot: D- Ang salitang pamalo ay nag-asimila sa pampalo na mula sa salitang palo.
25.
a. c.
b. d.
al. Sagot: C- Kapag ang salitang ugat na nagsisimula sa /l/ o /y/ ay nilalagyan ng gitlaping in-, ang /i/ at /n/ ay nagkakapalitan ng pusisyon.
c. c.
d. d.
am. Sagot: C- Kabaligtaran ng siil ang kandili dahil ang siil ay may kahulugang mapanupil samantalang ang kandili ay may kahulugang mapag-aruga.
26.
a. c.
b. d.
an.Sagot: C- Ang Wahh ay nagpapakita ng isang masidhing damdamin batay sa ibinigay na pangungusap.
ao. ap. aq. 27. a. c. b. d.
ar. Sagot: B- Ang salitang pakaayusin ay mas angkop sa pagkuha muna ng mataas na grado ng mag-aaral dahil ito ang kaganapan na
pangungusap. 28.
a. c.
b. d.
as. Sagot: C- Ang ingay o sagabal na nagaganap sa kapaligiran ay na tinatawag na pisyolohikal.