1.
Regala Company manufactures beds; in its catalogue, a double bed is priced at P5.000.00 less a discount of 20%. What will Rizza have to pay for the bed she ordered?
Correct Answer
D. P4.000.00
Explanation
The original price of the double bed is P5,000.00. The discount is 20% of the original price, which is P5,000.00 x 0.20 = P1,000.00. To calculate the final price, we subtract the discount from the original price: P5,000.00 - P1,000.00 = P4,000.00. Therefore, Rizza will have to pay P4,000.00 for the bed she ordered.
2.
Clara Ramos works as a sales clerk. She is paid a salary of P3,000.00 a week plus 2%
commission on sales over P4.000.00. Find her gross pay for a week in which her sales amounts to P9.500.00
Correct Answer
C. P3,110.00
Explanation
Clara Ramos earns a fixed salary of P3,000.00 per week. In addition to her salary, she receives a 2% commission on sales over P4,000.00. Her sales for the week amount to P9,500.00, which is P5,500.00 over the threshold. Thus, her commission would be 2% of P5,500.00, which is P110.00. Adding her commission to her salary, her gross pay for the week would be P3,000.00 + P110.00 = P3,110.00.
3.
A Toyota car travelling at a rate of 70km. per hour leaves the house 2 hours after a Kia car has left and overtakes it in 5 hours at what rate was the Kia car travelling?
Correct Answer
C. 50 kilometers per hour
Explanation
The Toyota car travels at a rate of 70 km per hour and overtakes the Kia car in 5 hours. Since the Toyota car left 2 hours after the Kia car, the Kia car has been traveling for a total of 7 hours (2 hours before the Toyota car left and 5 hours until it was overtaken). To find the rate at which the Kia car was traveling, we divide the distance traveled (which is the same for both cars) by the time taken. Therefore, the rate at which the Kia car was traveling is 70 km divided by 7 hours, which equals 10 km per hour.
4.
How many prime numbers are there between 1 and 100?
Correct Answer
D. 25
Explanation
There is an error in the given answer. The correct answer is 25. This is because there are a total of 25 prime numbers between 1 and 100. Prime numbers are numbers that are only divisible by 1 and themselves, and in this range, the prime numbers are: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, and 97.
5.
What number must be subtracted from both numerator and denominator of the fraction 11/23 to give a fraction whose value is 2/5?
Correct Answer
D. 3
Explanation
To find the number that must be subtracted from both the numerator and denominator of the fraction 11/23 to give a fraction whose value is 2/5, we can set up the equation (11 - x)/(23 - x) = 2/5. Cross multiplying gives us 5(11 - x) = 2(23 - x). Expanding the equation and simplifying, we get 55 - 5x = 46 - 2x. Solving for x, we find that x = 3. Therefore, the number that must be subtracted from both the numerator and denominator is 3.
6.
The halfway between 3/7 and 4/7 is
Correct Answer
A. 1/2
Explanation
The halfway between 3/7 and 4/7 can be found by taking the average of the two fractions. Adding 3/7 and 4/7 gives us 7/7, which simplifies to 1. Dividing 1 by 2 gives us 1/2, which is the halfway point between the two fractions. Therefore, the correct answer is 1/2.
7.
A recipe calls for 2 cups of milk for every 7 cups of flour. A chef will use 28 cups of flour, how many cups of milk must he have?
Correct Answer
D. 8
Explanation
The recipe states that for every 7 cups of flour, 2 cups of milk are needed. If the chef is using 28 cups of flour, we can set up a proportion to find the amount of milk needed. Since 7 cups of flour correspond to 2 cups of milk, we can set up the proportion 7/2 = 28/x, where x represents the amount of milk needed. Cross-multiplying gives us 7x = 56, and dividing both sides by 7 gives us x = 8. Therefore, the chef must have 8 cups of milk.
8.
If Karl has an average of 76% on his first two tests and has an average of 85% on the next four tests, what is his final average on all six tests?
Correct Answer
D. 82.0%
Explanation
Karl's final average on all six tests is 82.0%. This can be calculated by finding the weighted average of his first two tests and his next four tests. Since the first two tests have an average of 76% and the next four tests have an average of 85%, we can calculate the weighted average using the formula: (average of first two tests * weight) + (average of next four tests * weight) / (total weight). In this case, the weight for each set of tests is equal, so the formula simplifies to: (76% + 85%) / 2 = 82%. Therefore, Karl's final average on all six tests is 82.0%.
9.
A room is 30ft long, 25ft wide and 14ft high. If 42 balloons are inside the room, how many cubic feet of space does this allow for each balloon?
Correct Answer
A. 11
Explanation
Each balloon takes up a certain amount of space in the room. To find out how much space each balloon takes up, we need to divide the total volume of the room by the number of balloons. The volume of the room is calculated by multiplying the length, width, and height together (30ft x 25ft x 14ft = 10,500 cubic feet). Dividing this by the number of balloons (10,500 cubic feet / 42 balloons) gives us an answer of 250 cubic feet per balloon. However, since we are asked for the answer in whole numbers, we round down to the nearest whole number, which is 11. Therefore, each balloon takes up 11 cubic feet of space.
10.
What percent of 75 is 15?
Correct Answer
C. 20%
Explanation
To find out what percent of 75 is 15, we can set up a proportion. We can write it as 15/75 = x/100, where x represents the unknown percentage. By cross-multiplying, we get 75x = 1500. Dividing both sides by 75, we find that x = 20. Therefore, 15 is 20% of 75.
11.
All right angles are
Correct Answer
D. Equal
Explanation
In geometry, a right angle is defined as an angle that measures exactly 90 degrees. The term "equal" means that two things are the same or identical. Therefore, the correct answer is "equal" because all right angles have the same measure, which is 90 degrees.
12.
The side opposite the right angle of a right triangle is the _______ and each of the other two sides is ______
Correct Answer
A. Hypotenuse, leg
Explanation
In a right triangle, the side opposite the right angle is called the hypotenuse, while the other two sides are called legs.
13.
A 10 meter board leans against the wall. The foot of the board is 8 meters from the wall. How far up the wall does the board reach?
Correct Answer
A. 10 meters
Explanation
The board reaches up to 10 meters on the wall because it is leaning against the wall at a 90-degree angle. Since the foot of the board is 8 meters away from the wall, the board extends vertically for the remaining 2 meters to reach the top of the wall.
14.
The sum of the sides of a polygon is the _______ of the polygon.
Correct Answer
D. Perimeter
Explanation
The sum of the sides of a polygon is referred to as the perimeter of the polygon. The perimeter is the total length of all the sides of the polygon when they are added together. It is a measure of the distance around the outside of the polygon.
15.
If two legs of one right triangle are equal respectively to two legs of another, the right triangles are
Correct Answer
A. Congruent
Explanation
If two legs of one right triangle are equal respectively to two legs of another, it means that the two triangles have the same corresponding sides. This indicates that the triangles are congruent, as congruent triangles have corresponding sides that are equal in length.
16.
Find the least common multiple of 8, 6, 3
Correct Answer
A. 24
Explanation
The least common multiple (LCM) is the smallest number that is divisible by all the given numbers. In this case, the LCM of 8, 6, and 3 is 24 because it is the smallest number that can be divided evenly by all three numbers.
17.
The measure of an angle is 25 more than its supplement. What is the measure of the larger angle?
Correct Answer
A. 102.5 degrees
Explanation
The measure of an angle is 25 more than its supplement. This means that the two angles are supplementary, meaning they add up to 180 degrees. Let's call the smaller angle x. The larger angle is then x + 25. Since the two angles are supplementary, we can set up the equation x + (x + 25) = 180. Simplifying this equation, we get 2x + 25 = 180. Solving for x, we find that x = 77.5. Therefore, the larger angle is x + 25 = 77.5 + 25 = 102.5 degrees.
18.
Find the least common multiple of 5, 2, 7
Correct Answer
D. 70
Explanation
The least common multiple (LCM) is the smallest number that is a multiple of all the given numbers. To find the LCM of 5, 2, and 7, we can start by listing the multiples of each number until we find a common multiple. The multiples of 5 are 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, ... The multiples of 2 are 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40, 42, 44, 46, 48, 50, 52, 54, 56, 58, 60, 62, 64, 66, 68, 70, ... The multiples of 7 are 7, 14, 21, 28, 35, 42, 49, 56, 63, 70, ... The LCM of 5, 2, and 7 is the smallest number that appears in all three lists, which is 70.
19.
Simply: (3x - 9) / (x^2 - 9)
Correct Answer
A. 3 / (x + 3)
Explanation
The given expression is a rational expression, specifically a fraction. To simplify it, we can factor the numerator and denominator. The numerator, 3x - 9, can be factored out as 3(x - 3). The denominator, x^2 - 9, is a difference of squares and can be factored as (x + 3)(x - 3). Canceling out the common factor of (x - 3) in the numerator and denominator leaves us with 3/(x + 3). Therefore, the correct answer is 3/(x + 3).
20.
Simplify: (8x - 24) / (2x^2-X-15)
Correct Answer
C. 8 / (2x + 5)
Explanation
The given expression can be simplified by factoring the numerator and denominator. The numerator can be factored as 8(x - 3) and the denominator can be factored as (2x - 5)(x + 3). Simplifying the expression by canceling out common factors, we get 8/(2x + 5).
21.
The grades in Mathematics of the students in section A are as follows: 80,75, 60, 95, 100.What is the range of their group?
Correct Answer
B. 60-100
Explanation
The range of a group is the difference between the highest and lowest values. In this case, the highest grade is 100 and the lowest grade is 60. Therefore, the range of their group is 60-100.
22.
Which among the measures of central tendency is not influenced by outliers?
Correct Answer
C. Median
Explanation
The median is not influenced by outliers because it is the middle value of a dataset when arranged in ascending or descending order. Outliers, which are extreme values that are significantly different from the other values, do not affect the position of the median. In contrast, the mean and weighted mean are greatly influenced by outliers because they take into account the value of each data point. The mode, on the other hand, is not affected by outliers because it represents the most frequently occurring value in a dataset.
23.
What measure of central tendency can best describe the size of T-shirts commonly worn by teenagers?
Correct Answer
A. Mode
Explanation
The mode is the measure of central tendency that can best describe the size of T-shirts commonly worn by teenagers. The mode represents the most frequently occurring size in the dataset. Since teenagers may have different body types and preferences, it is likely that there will be a specific size that is worn more often than others. Therefore, the mode is the most appropriate measure to describe the common size of T-shirts worn by teenagers.
24.
If a die is rolled, what is the probability of getting a number divisible by 2?
Correct Answer
A. 1/2`
Explanation
The probability of getting a number divisible by 2 when rolling a die is 1/2 because there are 3 even numbers (2, 4, 6) out of a total of 6 possible outcomes (1, 2, 3, 4, 5, 6).
25.
In a Physics test, 9 students obtained the following scores: 80, 86, 78, 88, 90, 82, 76, 84, 92. What is the median score?
Correct Answer
A. 84
Explanation
The median score is the middle value when the scores are arranged in ascending order. In this case, the scores arranged in ascending order are: 76, 78, 80, 82, 84, 86, 88, 90, 92. The middle value is 84, which is the median score.
26.
Many a child _________ left to the care of relatives while the parents work.
Correct Answer
C. Is
Explanation
The correct answer is "is" because the sentence is talking about a singular child being left to the care of relatives. "Is" is the correct form of the verb to match the singular subject.
27.
She hurt ______ when she was slicing the onions.
Correct Answer
D. Herself
Explanation
The correct answer is "herself" because the pronoun "she" indicates that the subject of the sentence is female. Therefore, when she was slicing the onions, she hurt herself.
28.
If you forgot____textbook, you can use_____, Mark.
Correct Answer
B. Your, mine
Explanation
If you forgot your textbook, you can use mine, Mark. This means that if the person named Mark forgets his textbook, he can borrow the speaker's textbook. The speaker is referring to their own textbook as "mine" and addressing Mark by name.
29.
Mr. Tolentino was concerned about the safety of motorists and so he issued a circular containing ________ safety instructions.
Correct Answer
D. Their
Explanation
Mr. Tolentino issued a circular containing safety instructions for the safety of motorists. The use of "their" implies that the instructions are meant for multiple motorists, indicating that Mr. Tolentino is concerned about the safety of all motorists, not just himself or a specific group.
30.
The green revolution refers to food production by planting vegetables and fruit trees. A natural resource that has not been sufficiently developed is the world's bodies of water which promise abundant source of food. Referred to as blue revolution this food source refers to
Correct Answer
C. Fish
Explanation
The green revolution refers to the increase in food production through the cultivation of plants, particularly vegetables and fruit trees. However, the world's bodies of water, such as oceans, lakes, and rivers, have not been fully utilized for food production. This untapped potential is known as the blue revolution, which focuses on harnessing the resources of water bodies to produce food. Among the given options, fish is the most suitable answer as it is a commonly consumed food source obtained from the world's bodies of water.
31.
Some animals perform services to assist man. Canines serve in war and in peace. Cats safeguard the home from pests. Pigeons can transmit messages. This is possible if these animals are
Correct Answer
B. Trained
Explanation
Animals such as canines, cats, and pigeons can perform various services for humans if they are trained. Training allows animals to learn specific tasks or behaviors that can be useful in different contexts. For example, canines can be trained to assist in war or peacekeeping operations, cats can be trained to hunt and keep pests away from homes, and pigeons can be trained to carry and transmit messages. Without proper training, these animals would not be able to effectively perform these services.
32.
Even when her friends betray her, Perla bears no rancor in her heart because she is not
Correct Answer
C. Bitter
Explanation
Perla's lack of bitterness despite her friends betraying her suggests that she does not hold any resentment or anger towards them. This implies that she is able to let go of negative emotions and move on from the betrayal without harboring any ill will.
33.
Read the paragraph and answer the item that follows.
Nelson Mandela sacrificed so much in his life, family, friends and a big chunk of his life for things he believed in a democratic South Africa, with equal rights and a beacon of hope for the rest of the world. Nelson Mandela's dream for South Africa, which was realized, was
Correct Answer
B. Democracy
Explanation
Nelson Mandela's dream for South Africa, which was realized, was democracy. This can be inferred from the statement that he sacrificed so much in his life for things he believed in, such as a democratic South Africa with equal rights. Democracy refers to a system of government in which power is vested in the people, and they have the right to choose their leaders and participate in decision-making processes. Mandela's fight for democracy in South Africa was a significant part of his life's work and ultimately led to the establishment of a democratic government in the country.
34.
Read the paragraph and answer the item that follows.
"As far back as I can remember, our family had always been an extended one. Our grandmother was the mainstay in the family, the silent strength behind our mother who is her daughter."
The informal guide and honorary household chief in. the extended family is the
Correct Answer
A. Grandmother
Explanation
The correct answer is grandmother because the paragraph states that the grandmother is the mainstay in the family and the silent strength behind the mother. This suggests that she plays a significant role in the extended family and holds a position of authority or influence.
35.
Shirley has not forgotten that she was betrayed by her best friend and carried such __________ in her deeply offended heart for a long time.
Correct Answer
A. Rancor
Explanation
The word "rancor" means a deep and long-lasting bitterness or resentfulness. In this context, Shirley has not forgotten the betrayal by her best friend and has carried this bitterness in her deeply offended heart for a long time. The word "rancor" accurately captures the intensity and duration of Shirley's negative emotions towards her friend.
36.
Clara would read any book or magazine she could lay her hands on and read from cover to cover in one sitting. She is such a _______ reader.
Correct Answer
D. Voracious
Explanation
Clara's behavior of reading any book or magazine she can find and finishing it in one sitting indicates that she is a voracious reader. This means that she has a strong and insatiable appetite for reading, showing great enthusiasm and eagerness towards it.
37.
A lot of water____needed to irrigate the parched land.
Correct Answer
A. Is
Explanation
The correct answer is "is being." In this sentence, the subject "a lot of water" is singular, so the verb should also be singular. The use of "is being" indicates that the water is currently in the process of being used for irrigation.
38.
You________finished eating before we arrive.
Correct Answer
D. Will have
Explanation
The correct answer is "will have." This is because the sentence is in future tense and the verb "will have" indicates an action that will be completed before another action in the future. In this case, the action of finishing eating will be completed before the action of us arriving.
39.
Let us campaign for the total ban____of harmful insecticides.
Correct Answer
A. On the use
Explanation
The correct answer is "on the use". This is because the phrase "total ban" indicates a restriction or prohibition, and in this context, it is referring to the ban on the use of harmful insecticides. The preposition "on" is commonly used to indicate a restriction or prohibition on a particular action or behavior. Therefore, "on the use" accurately conveys the idea of campaigning for a complete ban on the use of harmful insecticides.
40.
"She is a vision of feminine pulchritude". The underlined word means
Correct Answer
B. Loveliness
Explanation
The underlined word "pulchritude" refers to physical beauty or loveliness.
41.
"If you want the moon I will get it for you" is an example of
Correct Answer
A. Hyperbole
Explanation
The phrase "If you want the moon I will get it for you" is an example of hyperbole because it exaggerates the speaker's willingness to do something for someone. It is not possible to physically obtain the moon, so the statement is an exaggerated expression of the speaker's willingness to go to great lengths to fulfill the other person's desires.
42.
"We listened to a loquacious speaker." The underlined word means
Correct Answer
C. Verbose
Explanation
The word "loquacious" is used to describe someone who is excessively talkative or verbose. Therefore, the correct answer is "verbose."
43.
What emotion or feeling is expressed in the following lines?
To be, or not to be, that is the question whether 'tis nobler in the mind to suffer the slings and arrows of outrageous Fortune, or to take arms against a Sea of Troubles, and by opposing end them?
Correct Answer
D. Indecision
Explanation
The emotion or feeling expressed in the given lines is indecision. The speaker is contemplating whether it is better to endure the hardships and uncertainties of life or to take action and potentially put an end to them. The use of phrases like "to be, or not to be" and "that is the question" reflects the speaker's internal conflict and inability to make a clear decision.
44.
How is 'mercy" described in the following lines?
The quality of mercy is not strained,
it droppeth as the gentle rain from heaven
Upon the place beneath; it is twice blest;
It blesseth him that gives and him that takes.
Correct Answer
A. Everybody deserves mercy
Explanation
The given lines describe mercy as a quality that is not forced or constrained. It is compared to gentle rain from heaven, which suggests that mercy is abundant and freely given to all. The lines also state that mercy is a blessing for both the giver and receiver, implying that everyone deserves and can benefit from acts of mercy.
45.
What figure of speech is the following: "He is the black sheep of the family."
Correct Answer
A. MetapHor
Explanation
The phrase "He is the black sheep of the family" is an example of a metaphor. It compares the person being referred to as a black sheep to emphasize their difference or deviance from the rest of the family. A metaphor directly states that one thing is another, in this case, the person is being compared to a black sheep.
46.
"The princess is a phantom of delight" is
Correct Answer
C. MetapHor
Explanation
The phrase "The princess is a phantom of delight" is a metaphor because it compares the princess to a phantom, suggesting that she is enchanting and ethereal. This comparison helps to create a vivid image in the reader's mind and conveys the idea that the princess is beautiful and captivating.
47.
A poem which is usually composed of fourteen lines which follow specific patterns of rhyme is called
Correct Answer
B. Sonnet
Explanation
A sonnet is a type of poem that consists of fourteen lines and follows specific patterns of rhyme. It is a structured form of poetry that originated in Italy and became popular in English literature. Sonnets often explore themes of love, beauty, and the passage of time. They typically have a specific rhyme scheme and are written in iambic pentameter, a metrical pattern of five pairs of unstressed and stressed syllables per line. Some famous examples of sonnets include Shakespeare's sonnets and Petrarch's sonnets.
48.
"... it droppeth as a gentle rain from heaven" is what figure of speech?
Correct Answer
B. Simile
Explanation
The phrase "it droppeth as a gentle rain from heaven" compares something to a gentle rain from heaven using the word "as," indicating a similarity between the two. This comparison makes it a simile, as it is a figure of speech that uses "like" or "as" to compare two different things.
49.
Haiku is traditional Japanese poem consisting of
Correct Answer
A. Three lines totaling 17 syllabus with nature as topic
Explanation
A Haiku is a traditional Japanese poem consisting of three lines totaling 17 syllables with nature as the topic. This form of poetry is known for its concise and evocative nature, capturing a moment or scene in nature with just a few words. The focus on nature in Haiku reflects the deep appreciation and connection to the natural world in Japanese culture.
50.
Jose Rizal's novel which revealed the abuses of the Spanish government in the Philippines and the sufferings of the Filipinos.
Correct Answer
A. Noli Me Tangere
Explanation
"Noli Me Tangere" is the correct answer because it is a novel written by Jose Rizal that exposed the injustices and abuses committed by the Spanish government in the Philippines during the colonial period. The novel shed light on the sufferings of the Filipino people and served as a catalyst for the Philippine revolution against Spanish rule. It was a significant literary work that sparked national awakening and inspired many Filipinos to fight for their rights and independence.