Q. If the paper is folded in half, which shape will appear?
A.
Shape A
B.
Shape B
C.
Shape C
D.
Shape D
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Solution
Shape A will appear when the paper is folded in half along the specified line.
Correct Answer:
A
— Shape A
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Q. If the parabola y = ax^2 + bx + c has its vertex at (1, -2), what is the value of a if it passes through the point (0, 0)?
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Solution
Using the vertex form y = a(x - 1)^2 - 2 and substituting (0, 0), we get 0 = a(0 - 1)^2 - 2 => 2 = a => a = 2.
Correct Answer:
B
— 2
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Q. If the parabola y^2 = 16x opens to the right, what is the value of p?
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Solution
In the equation y^2 = 4px, we have 4p = 16, thus p = 4.
Correct Answer:
B
— 4
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Q. If the parabola y^2 = 20x opens to the right, what is the value of p?
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Solution
In the equation y^2 = 4px, we have 4p = 20, thus p = 20/4 = 5.
Correct Answer:
A
— 5
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Q. If the Parliament has 790 members and 20% are women, how many women are there in the Parliament?
A.
158
B.
160
C.
150
D.
170
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Solution
Number of women = 20% of 790 = 0.2 * 790 = 158.
Correct Answer:
A
— 158
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Q. If the Parliament has 790 members and 30% are women, how many women members are there?
A.
210
B.
220
C.
230
D.
240
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Solution
Number of women members = 30% of 790 = 0.3 * 790 = 237.
Correct Answer:
A
— 210
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Q. If the Parliament has 790 members and 30% of them are from the ruling party, how many members are from the ruling party?
A.
210
B.
220
C.
230
D.
240
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Solution
Members from ruling party = 30% of 790 = 0.30 * 790 = 237.
Correct Answer:
C
— 230
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Q. If the Parliament has 790 members and 40% are from the opposition, how many members are from the opposition?
A.
316
B.
320
C.
300
D.
310
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Solution
Opposition members = 40% of 790 = 0.4 * 790 = 316.
Correct Answer:
A
— 316
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Q. If the Parliament is in session for 100 days in a year and the Lok Sabha meets for 60% of those days, how many days does the Lok Sabha meet?
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Solution
Days Lok Sabha meets = 60% of 100 = 0.6 * 100 = 60 days.
Correct Answer:
A
— 60
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Q. If the Parliament is in session for 120 days in a year and the Lok Sabha meets for 75% of those days, how many days does the Lok Sabha meet?
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Solution
Days Lok Sabha meets = 75% of 120 = 0.75 * 120 = 90.
Correct Answer:
A
— 90
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Q. If the Parliament is in session for 90 days in a year and the Lok Sabha meets for 60% of those days, how many days does the Lok Sabha meet?
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Solution
Days Lok Sabha meets = 60% of 90 = 0.60 * 90 = 54 days.
Correct Answer:
A
— 54
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Q. If the Parliament meets for 120 days in a year and the Lok Sabha meets for 75% of those days, how many days does the Lok Sabha meet?
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Solution
75% of 120 = 0.75 * 120 = 90 days.
Correct Answer:
A
— 90
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Q. If the passage discusses the effects of climate change, which of the following would be an appropriate title?
A.
The Unseen Consequences of Global Warming.
B.
The Benefits of Renewable Energy.
C.
The History of Environmental Movements.
D.
The Role of Government in Climate Policy.
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Solution
The title 'The Unseen Consequences of Global Warming' directly relates to the effects of climate change, making option A appropriate.
Correct Answer:
A
— The Unseen Consequences of Global Warming.
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Q. If the passage were to be rearranged, which of the following sequences would maintain the logical flow of ideas? (2023)
A.
Introduction, Anecdotes, Argument, Conclusion
B.
Anecdotes, Conclusion, Argument, Introduction
C.
Argument, Introduction, Anecdotes, Conclusion
D.
Conclusion, Argument, Introduction, Anecdotes
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Solution
The logical flow starts with an introduction, followed by supporting anecdotes, leading to the main argument and concluding remarks.
Correct Answer:
A
— Introduction, Anecdotes, Argument, Conclusion
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Q. If the passage were to be rearranged, which sentence would logically follow the first sentence?
A.
However, not all students benefit equally from these advancements.
B.
Many educators are excited about these new tools.
C.
Technology has transformed the way we learn.
D.
Students are more engaged than ever before.
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Solution
The first sentence introduces the topic of technology in education, making the third option a logical continuation.
Correct Answer:
C
— Technology has transformed the way we learn.
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Q. If the passage were to be restructured, which of the following sequences would best maintain the logical flow of ideas? (2023)
A.
A, B, C, D
B.
B, A, D, C
C.
C, D, A, B
D.
D, C, B, A
Show solution
Solution
The sequence A, B, C, D logically presents the argument, starting with the problem, followed by evidence, implications, and concluding with a call to action.
Correct Answer:
A
— A, B, C, D
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Q. If the passage were to be restructured, which of the following would be the most logical order?
A.
Introduction, Importance of Verbal Ability, Preparation Strategies, Conclusion
B.
Conclusion, Introduction, Importance of Verbal Ability, Preparation Strategies
C.
Importance of Verbal Ability, Introduction, Conclusion, Preparation Strategies
D.
Preparation Strategies, Importance of Verbal Ability, Conclusion, Introduction
Show solution
Solution
The logical flow starts with an introduction, followed by the importance of verbal ability, then preparation strategies, and concludes with a summary.
Correct Answer:
A
— Introduction, Importance of Verbal Ability, Preparation Strategies, Conclusion
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Q. If the peak current in an AC circuit is 5 A, what is the average current over one complete cycle?
A.
5 A
B.
2.5 A
C.
0 A
D.
7.07 A
Show solution
Solution
The average current over one complete cycle is I_avg = I_peak/√2 = 5/√2 = 2.5 A.
Correct Answer:
B
— 2.5 A
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Q. If the peak voltage of an AC source is 200 V, what is the RMS voltage?
A.
100 V
B.
141.42 V
C.
200 V
D.
282.84 V
Show solution
Solution
The RMS voltage (V_rms) is given by V_rms = V_peak / √2. Therefore, V_rms = 200 V / √2 = 141.42 V.
Correct Answer:
B
— 141.42 V
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Q. If the peak voltage of an AC source is 220 V, what is the RMS voltage?
A.
110 V
B.
154 V
C.
220 V
D.
311 V
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Solution
The RMS voltage (V_rms) is given by V_rms = V_peak / √2. Therefore, V_rms = 220 V / √2 = 110 V.
Correct Answer:
A
— 110 V
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Q. If the perimeter of a rectangle is 20 cm and the length is 6 cm, what is the width?
A.
4 cm
B.
5 cm
C.
6 cm
D.
7 cm
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Solution
Perimeter P = 2(length + width). So, 20 = 2(6 + width). Solving gives width = 4 cm.
Correct Answer:
B
— 5 cm
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Q. If the perimeter of a rectangle is 30 cm and the length is 10 cm, what is the width?
A.
5 cm
B.
10 cm
C.
7.5 cm
D.
15 cm
Show solution
Solution
Perimeter P = 2(length + width). So, 30 = 2(10 + width). Dividing by 2 gives 15 = 10 + width. Thus, width = 15 - 10 = 5 cm.
Correct Answer:
A
— 5 cm
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Q. If the perimeter of a rectangle is 50 cm and the length is 15 cm, what is the width? (2020)
A.
10 cm
B.
12.5 cm
C.
15 cm
D.
20 cm
Show solution
Solution
Perimeter = 2(length + width). So, 50 = 2(15 + width). Solving gives width = 10 cm.
Correct Answer:
B
— 12.5 cm
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Q. If the perimeter of a regular hexagon is 72 cm, what is the length of each side?
A.
10 cm
B.
12 cm
C.
14 cm
D.
8 cm
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Solution
The perimeter of a regular hexagon is the sum of the lengths of its 6 equal sides. Therefore, each side is 72 cm / 6 = 12 cm.
Correct Answer:
B
— 12 cm
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Q. If the perimeter of a regular octagon is 64 cm, what is the length of each side? (2023)
A.
6 cm
B.
8 cm
C.
10 cm
D.
12 cm
Show solution
Solution
The perimeter of a regular octagon is 8 times the length of one side. Therefore, each side is 64 cm / 8 = 8 cm.
Correct Answer:
B
— 8 cm
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Q. If the perimeter of a square is 36 cm, what is the length of one side? (2023)
A.
9 cm
B.
12 cm
C.
6 cm
D.
15 cm
Show solution
Solution
The perimeter of a square is given by 4 times the length of one side. Therefore, if the perimeter is 36 cm, the length of one side is 36 cm / 4 = 9 cm.
Correct Answer:
B
— 12 cm
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Q. If the perimeter of a square is 40 cm, what is the length of one side? (2018)
A.
10 cm
B.
15 cm
C.
20 cm
D.
25 cm
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Solution
Perimeter = 4 × side, so side = 40/4 = 10 cm.
Correct Answer:
A
— 10 cm
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Q. If the perimeter of a square is 64 cm, what is the length of one side? (2023)
A.
12 cm
B.
14 cm
C.
16 cm
D.
18 cm
Show solution
Solution
Perimeter of a square = 4 × side. Therefore, 4 × side = 64 cm, giving side = 64/4 = 16 cm.
Correct Answer:
C
— 16 cm
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Q. If the perimeter of a triangle is 30 cm and the lengths of two sides are 10 cm and 12 cm, what is the length of the third side? (2020)
A.
8 cm
B.
10 cm
C.
12 cm
D.
14 cm
Show solution
Solution
Let the third side be x. Then, 10 + 12 + x = 30, so x = 30 - 22 = 8 cm.
Correct Answer:
A
— 8 cm
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Q. If the perimeter of an equilateral triangle is 36 cm, what is the length of each side?
A.
9 cm
B.
12 cm
C.
15 cm
D.
18 cm
Show solution
Solution
In an equilateral triangle, all sides are equal. Therefore, if the perimeter is 36 cm, each side is 36/3 = 12 cm.
Correct Answer:
B
— 12 cm
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