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Q. If the order of finishing in a marathon is A, B, C, D, and E, and B finishes before D but after A, who finishes second?

A. A
B. B
C. C
D. D

Solution

Since A finishes first, and B finishes after A but before D, C must finish second.

Correct Answer: C — C

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Q. If the order of finishing in a marathon is A, B, C, D, and E, and it is known that A finished before C but after B, and D finished after E, who finished third?

A. A
B. B
C. C
D. D

Solution

The order is B > A > C > E > D, making C the third.

Correct Answer: C — C

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Q. If the order of finishing in a marathon is as follows: John finishes before Mike, but after Sarah. Tom finishes after Mike. Who finishes first?

A. John
B. Mike
C. Sarah
D. Tom

Solution

Since Sarah finishes before John, and John finishes before Mike, Sarah must be the first.

Correct Answer: C — Sarah

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Q. If the order of finishing in a marathon is as follows: John, Mike, Sarah, and Tom, who finished second? (2023)

A. John
B. Mike
C. Sarah
D. Tom

Solution

The order is John (1st), Mike (2nd), Sarah (3rd), Tom (4th). Therefore, Mike finished second.

Correct Answer: B — Mike

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Q. If the order of finishing in a marathon is as follows: Runner A finishes before Runner B, Runner C finishes after Runner A but before Runner D, and Runner E finishes last. Who finishes third?

A. A
B. B
C. C
D. D

Solution

The order is A, C, B, D, E, making C the third finisher.

Correct Answer: C — C

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Q. If the osmotic pressure of a solution is 3.0 atm at 25 °C, what is the molarity of the solution? (R = 0.0821 L atm/(K mol))

A. 0.12 M
B. 0.15 M
C. 0.18 M
D. 0.20 M

Solution

Molarity = π / (RT) = 3.0 / (0.0821 * 298) = 0.12 M

Correct Answer: C — 0.18 M

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Q. If the osmotic pressure of a solution is 3.0 atm, what is the molarity of the solution? (R = 0.0821 L atm/(K mol), T = 298 K)

A. 0.12 M
B. 0.15 M
C. 0.10 M
D. 0.20 M

Solution

Molarity = π / (RT) = 3.0 / (0.0821 * 298) = 0.12 M

Correct Answer: B — 0.15 M

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Q. If the pair of lines represented by ax^2 + 2hxy + by^2 = 0 are perpendicular, then:

A. a + b = 0
B. a - b = 0
C. h = 0
D. a = b

Solution

For the lines to be perpendicular, the condition a + b = 0 must hold.

Correct Answer: A — a + b = 0

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Q. If the pair of lines represented by the equation ax^2 + 2hxy + by^2 = 0 are perpendicular, then:

A. a + b = 0
B. a - b = 0
C. h = 0
D. a = b

Solution

For the lines to be perpendicular, the condition a*b + h^2 = 0 must hold.

Correct Answer: A — a + b = 0

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Q. If the paper is folded in half, which shape will appear?

A. Shape A
B. Shape B
C. Shape C
D. Shape D

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)?

A. 1
B. 2
C. 3
D. 4

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?

A. 2
B. 4
C. 8
D. 16

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?

A. 5
B. 10
C. 20
D. 2

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

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

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

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

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?

A. 60
B. 70
C. 80
D. 90

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?

A. 90
B. 80
C. 75
D. 100

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?

A. 54
B. 60
C. 66
D. 72

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?

A. 90
B. 80
C. 75
D. 100

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.

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

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.

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

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

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

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

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

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

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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Major Competitive Exams

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