Hybrid Sets for Competitive Exam Preparation

Hybrid Sets

Constraint-Based Sets Logical Grid Sets Resource Allocation Sets Scheduling Sets Venn Diagram Sets

Q. A survey shows that 40% of people like apples, 30% like bananas, and 10% like both. What percentage of people like either apples or bananas?

A. 60%
B. 70%
C. 50%
D. 80%

Solution

Using the principle of inclusion-exclusion, the percentage of people who like either apples or bananas is 40% + 30% - 10% = 60%.

Correct Answer: A — 60%

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Q. A survey shows that 70% of people like chocolate, 50% like vanilla, and 20% like both. What percentage of people like either chocolate or vanilla?

A. 100%
B. 90%
C. 80%
D. 70%

Solution

Using inclusion-exclusion, the percentage of people who like either flavor is 70% + 50% - 20% = 100%.

Correct Answer: C — 80%

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Q. Arrange the following sentences to create a logical sequence: 1. The sun was setting. 2. The sky turned a brilliant orange. 3. People gathered to watch the sunset. 4. It was a beautiful evening.

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

Solution

The sequence logically describes the setting sun, the resulting colors, and the people's reaction.

Correct Answer: A — 1, 2, 3, 4

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Q. Arrange the following sentences to create a logical sequence: 1. The team celebrated their victory. 2. They had worked hard throughout the season. 3. The final match was intense. 4. Their efforts paid off.

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

Solution

The logical order starts with their hard work, followed by the intense match, the payoff, and finally the celebration.

Correct Answer: A — 2, 3, 4, 1

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Q. Arrange the following sentences to create a logical sequence: 1. The team celebrated their victory. 2. They had worked hard throughout the season. 3. The final match was challenging. 4. Their efforts paid off.

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

Solution

The logical sequence starts with their hard work, followed by the challenge of the match, the payoff of their efforts, and finally the celebration.

Correct Answer: A — 2, 3, 4, 1

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Q. Arrange the following sentences to create a logical sequence: 1. The team worked tirelessly on the project. 2. Their efforts paid off when they received the award. 3. They faced numerous challenges along the way. 4. This recognition motivated them to pursue further innovations.

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

Solution

The sequence starts with the challenges, followed by the team's work, the award, and finally the motivation for future innovations.

Correct Answer: B — 3, 1, 2, 4

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

Solution

The logical order starts with facing challenges, then working on the project, completing it, and finally receiving the award.

Correct Answer: B — 3, 1, 4, 2

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Q. Arrange the following sentences to form a coherent paragraph: 1. The sun was setting, casting a golden hue over the landscape. 2. As the day came to an end, the sky transformed into a canvas of colors. 3. It was a moment that felt almost magical. 4. People stopped to admire the beauty of nature.

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

Solution

The logical flow starts with the setting sun, followed by the transformation of the sky, the magical feeling, and finally, the people's admiration.

Correct Answer: B — 2, 1, 4, 3

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

Solution

The logical flow starts with the setting sun, followed by the transformation of the sky, the reaction of people, and concludes with the magical feeling.

Correct Answer: B — 2, 1, 4, 3

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Q. Arrange the following sentences to form a coherent paragraph: 1. The sun was setting, casting a golden hue over the landscape. 2. As the day came to an end, the sky transformed into a canvas of colors. 3. It was a moment that made one appreciate the beauty of nature. 4. People stopped to admire the breathtaking view.

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

Solution

The correct order is 1, 2, 3, 4, as it logically describes the scene from the sunset to the appreciation of nature.

Correct Answer: B — 2, 1, 4, 3

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

Solution

The logical flow starts with the setting sun, followed by the transformation of the sky, the reaction of people, and concludes with the magical feeling.

Correct Answer: B — 2, 1, 4, 3

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Q. Arrange the following sentences to form a coherent paragraph: 1. The sun was setting, casting a golden hue over the landscape. 2. As the day came to an end, the sky transformed into a canvas of colors. 3. People gathered to witness the breathtaking view. 4. It was a moment that would be cherished forever.

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

Solution

The logical flow starts with the setting sun, followed by the transformation of the sky, the gathering of people, and concludes with the lasting memory.

Correct Answer: B — 2, 1, 3, 4

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

Solution

The logical flow starts with the setting sun, followed by the transformation of the sky, the magical feeling, and finally, the people's reaction.

Correct Answer: B — 2, 1, 4, 3

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Q. Arrange the following sentences to form a coherent paragraph: 1. The sun was setting, casting a golden hue over the landscape. 2. As the day came to an end, the world seemed to pause. 3. It was a moment of tranquility that everyone cherished. 4. People gathered to witness the beauty of the evening sky. (2023)

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

Solution

The logical flow starts with the setting sun, followed by the pause, gathering of people, and ends with the moment of tranquility.

Correct Answer: B — 2, 1, 4, 3

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Q. Arrange the following sentences to form a coherent paragraph: 1. The sun was setting, casting a golden hue over the landscape. 2. As the day came to an end, the sky transformed into a canvas of colors. 3. People gathered to witness the breathtaking view. 4. It was a moment that would be cherished forever.

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

Solution

The logical sequence starts with the setting sun, followed by the transformation of the sky, the gathering of people, and concludes with the lasting memory.

Correct Answer: B — 2, 1, 3, 4

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

Solution

The logical flow starts with the setting sun, followed by the transformation of the sky, the admiration of people, and concludes with the magical feeling.

Correct Answer: B — 2, 1, 4, 3

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Q. Arrange the following sentences to form a coherent paragraph: 1. The sun was setting, casting a golden hue over the landscape. 2. As the day came to an end, the world seemed to pause. 3. It was a moment of tranquility. 4. People stopped to admire the beauty of the evening. (2023)

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

Solution

The logical flow is best captured by the sequence: 1 introduces the scene, 2 describes the moment, 4 adds detail about people's reactions, and 3 concludes with the feeling of tranquility.

Correct Answer: B — 2, 1, 4, 3

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Q. Arrange the following sentences to form a coherent paragraph: 1. The sun was setting, casting a golden hue over the landscape. 2. As the day came to an end, the sky transformed into a canvas of colors. 3. It was a moment of tranquility, where time seemed to stand still. 4. People gathered to witness the breathtaking view.

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

Solution

The correct order is 1, 2, 3, 4, as it logically describes the setting sun and the reaction of people witnessing it.

Correct Answer: B — 2, 1, 4, 3

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Q. Arrange the following sentences to form a coherent paragraph: 1. The sun was setting, casting a golden hue over the landscape. 2. As the day came to an end, the sky transformed into a canvas of colors. 3. It was a moment of tranquility that everyone cherished. 4. People gathered to witness the breathtaking view. (2023)

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

Solution

The correct order is 2, 1, 4, 3, as it logically describes the progression from the sky's transformation to the gathering of people and their appreciation of the moment.

Correct Answer: B — 2, 1, 4, 3

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Q. Arrange the following sentences to form a coherent paragraph: 1. This is a common misconception. 2. Many believe that intelligence is fixed. 3. However, research shows that intelligence can be developed. 4. Understanding this can lead to better learning outcomes.

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

Solution

The logical flow starts with the misconception, followed by the correction and its implications.

Correct Answer: C — 2, 3, 1, 4

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Q. Arrange the following statements to form a logical sequence: A. The team worked tirelessly. B. They were rewarded for their efforts. C. Their project was a success. D. The deadline was approaching.

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

Solution

The logical sequence is D, A, C, B, as the approaching deadline led to the team's hard work, resulting in a successful project and subsequent reward.

Correct Answer: B — D, A, C, B

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Q. Choose the best way to combine the following sentences: 'The storm caused significant damage. Many homes were destroyed.' (2023)

A. The storm caused significant damage, and many homes were destroyed.
B. Significant damage was caused by the storm, many homes were destroyed.
C. The storm caused significant damage; many homes were destroyed.
D. Many homes were destroyed due to the storm causing significant damage.

Solution

The use of a semicolon effectively connects the two independent clauses.

Correct Answer: C — The storm caused significant damage; many homes were destroyed.

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Q. Choose the best word to complete the sentence: 'Despite the __________ of the evidence, the jury remained unconvinced.' (2023)

A. abundance
B. scarcity
C. ambiguity
D. clarity

Solution

The word 'abundance' fits best, indicating that there was a lot of evidence, yet the jury was still unconvinced.

Correct Answer: A — abundance

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Q. Choose the best word to fill in the blank: 'The scientist's findings were ________ by the subsequent research, confirming the initial hypothesis.'

A. contradicted
B. supported
C. ignored
D. overlooked

Solution

The context suggests that the subsequent research confirmed the findings, thus 'supported' is the best fit.

Correct Answer: B — supported

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Q. Choose the correct order of the following sentences to create a logical argument: 1. This leads to a decrease in overall productivity. 2. Many employees feel overwhelmed by their workload. 3. Consequently, companies must address employee well-being. 4. A stressed workforce is less effective. (2023)

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

Solution

The logical flow starts with the feeling of being overwhelmed, leading to stress, decreased productivity, and the need for companies to address this.

Correct Answer: C — 2, 4, 1, 3

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Q. Choose the sentence that best conveys the idea of resilience: 'After facing numerous challenges, she _________.

A. decided to give up.
B. learned from her mistakes.
C. felt overwhelmed and lost.
D. ignored the problems.

Solution

Learning from mistakes reflects resilience, while the other options indicate giving up or avoidance.

Correct Answer: B — learned from her mistakes.

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Q. Choose the word that best completes the sentence: 'Despite the heavy rain, the event was a _____ success.'

A. total
B. partial
C. minimal
D. marginal

Solution

The word 'total' best conveys that the event was completely successful despite the rain.

Correct Answer: A — total

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Q. Choose the word that best completes the sentence: 'Despite the __________ of the evidence, the jury remained unconvinced.'

A. abundance
B. scarcity
C. ambiguity
D. clarity

Solution

The context suggests that the evidence was plentiful, yet the jury was still not convinced.

Correct Answer: A — abundance

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Q. Choose the word that best completes the sentence: 'Despite the __________ of the situation, she remained calm and composed.'

A. seriousness
B. triviality
C. ambiguity
D. simplicity

Solution

The word 'seriousness' fits best in the context, indicating a challenging situation.

Correct Answer: A — seriousness

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Q. Choose the word that best fits the context: 'The scientist's findings were so ____ that they changed the way we understand climate change.'

A. trivial
B. insignificant
C. revolutionary
D. mundane

Solution

The context suggests that the findings had a significant impact, making 'revolutionary' the best fit.

Correct Answer: C — revolutionary

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