1. The professor’s lecture was so _______ that many students struggled to stay awake.
2. Which of the following words means “a person who is easily deceived”?
3. Select the correct synonym of “ephemeral.”
4. The word “obstinate” means:
5. Which word means "a person who doubts everything"?
6. Identify the grammatically correct sentence:
7. Choose the best option to complete the sentence: Despite his initial reluctance, he finally agreed _______ the contract.
8. Identify the incorrect sentence:
9. Choose the correct sentence:
10. Choose the correct preposition: He was accused _______ stealing company funds
11. Identify the part of the sentence that contains an error: If I was you, I would not make that decision.
12. Find the incorrect usage:
13. Identify the incorrect sentence:
14. Choose the grammatically correct sentence:
15. Identify the part of the sentence that contains an error: “She is looking forward to meet you.”
16. Identify the error in this sentence: He is good in playing chess.
READING COMPREHENSION: In the early decades of the 20th century, urban planners around the world began to adopt a new vision for cities—one that emphasized order, functionality, and progress over tradition. Towering skyscrapers replaced low-rise, character-rich buildings. Grid-like road systems emerged, prioritizing vehicular movement over pedestrian experience. While these developments were hailed as symbols of modernity, they often led to the erosion of cultural identity and community cohesion. The rigid structures, although efficient, failed to accommodate the organic nature of human interaction. Critics argue that such urban planning philosophies, inspired by industrial efficiency, overlooked the psychological and social needs of city dwellers. In response, a growing movement of architects and designers is now advocating for more inclusive, human-centered cities—ones that promote green spaces, community engagement, and architectural diversity. This shift signals a return to valuing the emotional and cultural fabric of urban life, not just its mechanical function
17. What is the author’s main concern regarding early 20th-century urban planning?
READING COMPREHENSION: In the early decades of the 20th century, urban planners around the world began to adopt a new vision for cities—one that emphasized order, functionality, and progress over tradition. Towering skyscrapers replaced low-rise, character-rich buildings. Grid-like road systems emerged, prioritizing vehicular movement over pedestrian experience. While these developments were hailed as symbols of modernity, they often led to the erosion of cultural identity and community cohesion. The rigid structures, although efficient, failed to accommodate the organic nature of human interaction. Critics argue that such urban planning philosophies, inspired by industrial efficiency, overlooked the psychological and social needs of city dwellers. In response, a growing movement of architects and designers is now advocating for more inclusive, human-centered cities—ones that promote green spaces, community engagement, and architectural diversity. This shift signals a return to valuing the emotional and cultural fabric of urban life, not just its mechanical function
18. Which of the following best describes the tone of the passage?
READING COMPREHENSION: In the early decades of the 20th century, urban planners around the world began to adopt a new vision for cities—one that emphasized order, functionality, and progress over tradition. Towering skyscrapers replaced low-rise, character-rich buildings. Grid-like road systems emerged, prioritizing vehicular movement over pedestrian experience. While these developments were hailed as symbols of modernity, they often led to the erosion of cultural identity and community cohesion. The rigid structures, although efficient, failed to accommodate the organic nature of human interaction. Critics argue that such urban planning philosophies, inspired by industrial efficiency, overlooked the psychological and social needs of city dwellers. In response, a growing movement of architects and designers is now advocating for more inclusive, human-centered cities—ones that promote green spaces, community engagement, and architectural diversity. This shift signals a return to valuing the emotional and cultural fabric of urban life, not just its mechanical function.
19. According to the passage, what is one negative outcome of rigid urban structures?
READING COMPREHENSION: In the early decades of the 20th century, urban planners around the world began to adopt a new vision for cities—one that emphasized order, functionality, and progress over tradition. Towering skyscrapers replaced low-rise, character-rich buildings. Grid-like road systems emerged, prioritizing vehicular movement over pedestrian experience. While these developments were hailed as symbols of modernity, they often led to the erosion of cultural identity and community cohesion. The rigid structures, although efficient, failed to accommodate the organic nature of human interaction. Critics argue that such urban planning philosophies, inspired by industrial efficiency, overlooked the psychological and social needs of city dwellers. In response, a growing movement of architects and designers is now advocating for more inclusive, human-centered cities—ones that promote green spaces, community engagement, and architectural diversity. This shift signals a return to valuing the emotional and cultural fabric of urban life, not just its mechanical function.
20. What does the passage suggest about modern urban planning trends?
READING COMPREHENSION: In the early decades of the 20th century, urban planners around the world began to adopt a new vision for cities—one that emphasized order, functionality, and progress over tradition. Towering skyscrapers replaced low-rise, character-rich buildings. Grid-like road systems emerged, prioritizing vehicular movement over pedestrian experience. While these developments were hailed as symbols of modernity, they often led to the erosion of cultural identity and community cohesion. The rigid structures, although efficient, failed to accommodate the organic nature of human interaction. Critics argue that such urban planning philosophies, inspired by industrial efficiency, overlooked the psychological and social needs of city dwellers. In response, a growing movement of architects and designers is now advocating for more inclusive, human-centered cities—ones that promote green spaces, community engagement, and architectural diversity. This shift signals a return to valuing the emotional and cultural fabric of urban life, not just its mechanical function.
21.What does the phrase “organic nature of human interaction” most likely mean in the context of the passage?
22. Choose the sentence with correct use of adjectives:
23. Select the correct sentence using an adverb clause:
24. Identify the sentence with correct subject-verb agreement:
25. Choose the correct sentence using a verb:
26. Select the correct sentence with proper modifier usage:
27. Select the sentence with correct subject-verb agreement:
28. Identify the correct sentence:
29. Choose the correct sentence:
30. He missed the train, ______ she left early.
31. Choose the sentence with the correct tense usage:
32. I waited for him _______ he never arrived.
33. Identify the correct sentence:
34. Identify the sentence with incorrect punctuation:
35. Choose the correct sentence:
36. Which sentence uses articles correctly?
37. Select the correct sentence:
38. Fill in the blank: He was accused ___ stealing confidential data.
39. Choose the most appropriate sentence:
40. Identify the best use of a modal verb for advice:
41. Choose the sentence that uses a subordinating conjunction:
42. Identify the sentence with a coordinating conjunction:
43. Which sentence uses punctuation correctly?
44. If 2x < 100 and x is an integer, how many of the 2x + 2 integers will be divisibleby3andby 2?
45. A cyclist bikes from town A to town B and back to town A in 3 hours. He bikesfromAtoB at a speed of 15 miles/hour, while his return speed is 10 miles/hour. What is the distancebetweenthe 2 towns?
46. sin(x)cos(x)(1 + tan2(x)) =
47. The average of the integers 24, 6, 12, x and y is 11. What is the value of thesum x+y?
48. The inequality |2x - 1| > 5 must be true in which one of the following cases?I. x 7 III. x > 0
49. One solution that comprises a quarter of a mixture of two solutions contains 40 percent chemical A. If the total mixture contains 16 percent chemical A, what percentage chemical A does the second solution that makes up the mixture contain?
50. A food company mixes a gallons of a 20 percent vinegar solution with b gallons of a 50 percent vinegar solution in order to create a 38 percent vinegar solution. The equation above represents this situation. If the company uses 1,000 gallons of the 50 percent vinegar solution, approximately how many gallons of the 20 percent vinegar solution will it need to use?
51. A machine produces 200 products per hour at a constantrate. Which of the following sampling procedures would bethe most effective in determining the overall quality of an eight-hour production run?
52. The table above records the number of school lunches purchased per week for a cohort of elementary school students. If a student is chosen at random, what is the probability that the student is either a first or second grader who did not buy school lunch that week?
53. If k(x) = 6x−3x2 for all values of x greater than 1, what is the value of k(2x − 1)?
54. Ronnie opened a bank account that earns 2 percent interest compounded annually. Her initial deposit was $100, and she uses the expression $100(x)t to find the value of the account after t years. What is the value of x in the equation?
55. Which of the following equivalent forms gives the xintercepts of the parabola given by the equation above?
56. The equation (20x2−ax+9)/(4x+1) = (5x − 3 +12 )/ (4x+1) true for allvalues of x except x=−1 / 4 , where a is a constant. What is the value of a?
57. In the given figure, lines a, b, and c intersect at one point. What is the value of x?
58. In the figure above, square CDEF shares the common side CF with parallelogram ABCF. The area of the square is 225, the length of AG is 9, and the length of FG is 21. What is the area of the parallelogram?
59. Which of the following equations is the equation of a circle that is centered at (2, −1) in the xy-plane and passes through the point (6, −1)?
60. If AC is a diameter of the circle above and the lengths of lines AB and BC are 6√3 and 6, respectively, what is the length of minor arc BC?
61. A cylindrical tank with a radius of 10 inches is partially filled with water. A sphere with radius k is placed in the tank and is fully submerged, thus displacing an amount of water equal to its volume. How many inches will this raise the water level in the cylinder?
62. A sphere with a radius of 8 centimeters is inscribed within a cube such that the sphere is tangent to all the faces of the cube. Which of the following is closest to the volume, in cubic centimeters, within the cube but outside the sphere?
63. Triangle ABC has a right angle at vertex A. If sin C =5/13, what is the value of tan B?
64. Present ages of Sameer and Anand are in the ratio of 5: 4 respectively. Three years hence, the ratio of their ages will become 11: 9 respectively. What is Anand's present age in years?
65. The sum of the present ages of a father and his son is 60 years. Six years ago, father's age was five times the age of the son. After 6 years, son's age will be:
66. If a fair coin is tossed 5 times, then the probability of getting exactly 3 heads is:
67. Let working hours in a day be 8 hours. A completes of a work in 5 days and B, of the work in 10 days. The number of hours required to do the complete work by both A and B together, is:
68. A coin is tossed until a head appears or until the coin has been tossed three times. Given that 'head' does not appear on the first toss, what is the probability that the coin is tossed thrice?
69. A mixture of milk and water has a ratio of 11:3. If 26 liters of milk are added to the mixture, and then another 13 liters of milk are added, the final ratio of milk to water is 12:3. What was the initial quantity of milk in the mixture?
70. A, B, and C can complete a work individually in 48 days, 72 days, and 54 days, respectively. A and B work together for 16 days, and the remaining work is completed by C alone. How many days will C take to complete the work?
71. A container contains 25 litre of milk. From this container, 5 litre of milk is taken out and replaced by water. This process is further repeated two times. How much milk is there in the container now?
72. If R = {(x, y) | x,y ∈ Z, x² + y² ≤ 4} is a relation in Z, then domain of R is
73. Two buses start from a bus terminal with a speed of 20 km/h at interval of 10 minutes. What is the speed of a man coming from the opposite direction towards the bus terminal if he meets the buses at interval of 8 minutes?
74. From two places, 60 km apart, A and B start towards each other at the 2 same time and meet each other after 6 hour. If A traveled with - of his 3 speed and B traveled with double of his speed, they would have met after 5 hours. The speed of A is:
75. Find the range of the function-1 1 -for {x: x ∈ R |x + 1}?
76. If log10(7)=a then log10(1/70) is equal to
77. If log 10 5+log 10 (5x+1) = log 10 (x+5) +1, then x is equal to:
79. If A is a symmetric (skew-symmetric) then A2 must be
80. If x²-63x-64 = 0 and p and n are integers such that pn = x, which of the following CANNOT be a value for p?
81. There are 24 students in a seventh grade class. They decided to plant birches and roses at the school's backyard. While each girl planted 3 roses, every three boys planted 1birch. By the end of the day they planted 24 plants. How many birches and roses were planted?
82. If a, ẞ are the roots of the equation 2x2 + 3x + 4 = 0 then the equation whose roots are α/β & β/a is
81. The average temperature of Monday, Tuesday & Wednesday was 32°c. The temperature of Tuesday, Wednesday & Thursday is 340. Find temperature of Monday if temperature of Thursday is 35°c.
82. A solid cylinder in which the height is 6 times the radius is melted and cast into another cylinder with the height and radius interchanged and is found to have the total surface area equal to 264 cm². The total surface area of the first cylinder is ( use PI = 22/7)
83. The circumference of the base of a cylindrical vessel is 264 cm and its height is 50 cm. The capacity (in litres) of the vessel is:
84. For which value of x, will the matrix given below become singular?
85. The smallest 1-digit number to be added to the 6-digit number 318833 so that it is completely divisible by 11 is:
86. The sum of 7 consecutive natural numbers is 1617. Find how many of these are prime numbers?
