Major Competitive Exams
Q. Which of the following sentences is in the passive voice? (2023)
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A.
The dog chased the cat.
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B.
The cat was chased by the dog.
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C.
The dog is chasing the cat.
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D.
The cat chases the dog.
Solution
The sentence 'The cat was chased by the dog.' is in the passive voice.
Correct Answer: B — The cat was chased by the dog.
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Q. Which of the following sentences is in the past tense? (2019)
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A.
I am eating lunch.
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B.
I will eat lunch.
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C.
I ate lunch.
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D.
I eat lunch.
Solution
I ate lunch is in the past tense, indicating an action that has already happened.
Correct Answer: C — I ate lunch.
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Q. Which of the following sentences is in the subjunctive mood? (2023)
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A.
If I were you, I would apologize.
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B.
I am happy.
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C.
She sings beautifully.
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D.
They will go to the party.
Solution
The sentence 'If I were you, I would apologize.' is in the subjunctive mood, expressing a hypothetical situation.
Correct Answer: A — If I were you, I would apologize.
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Q. Which of the following sentences is least relevant to the topic of climate change?
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A.
Rising sea levels threaten coastal cities.
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B.
Deforestation contributes to global warming.
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C.
The stock market fluctuates daily.
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D.
Renewable energy sources can reduce carbon emissions.
Solution
The stock market fluctuating daily is unrelated to climate change, while the other options directly address environmental issues.
Correct Answer: C — The stock market fluctuates daily.
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Q. Which of the following sentences is NOT in passive voice? (2022)
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A.
The song was sung by the choir.
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B.
The choir sings the song.
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C.
The song is sung by the choir.
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D.
The song has been sung by the choir.
Solution
The sentence 'The choir sings the song.' is in active voice as the subject performs the action.
Correct Answer: B — The choir sings the song.
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Q. Which of the following sentences is the best rephrasing of 'He is not unlike his brother'? (2021)
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A.
He is very different from his brother.
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B.
He is somewhat like his brother.
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C.
He is exactly like his brother.
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D.
He is completely unlike his brother.
Solution
The phrase 'not unlike' suggests some similarity, making 'somewhat like' the best rephrasing.
Correct Answer: B — He is somewhat like his brother.
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Q. Which of the following sentences uses the passive voice? (2022)
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A.
The cat chased the mouse.
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B.
The mouse was chased by the cat.
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C.
The cat is chasing the mouse.
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D.
The cat chases the mouse.
Solution
The sentence 'The mouse was chased by the cat.' is in passive voice.
Correct Answer: B — The mouse was chased by the cat.
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Q. Which of the following sentences uses the present continuous tense? (2022)
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A.
I eat breakfast.
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B.
I am eating breakfast.
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C.
I will eat breakfast.
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D.
I ate breakfast.
Solution
I am eating breakfast indicates an action currently in progress.
Correct Answer: B — I am eating breakfast.
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Q. Which of the following sentences would best fit in the blank in the passage to enhance its argument?
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A.
This is a complex issue that requires a nuanced approach.
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B.
Many people are unaware of the severity of the situation.
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C.
The solutions are often more political than scientific.
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D.
Public awareness is crucial for effective policy-making.
Solution
The sentence emphasizes the complexity of the issue, aligning with the author's argument for a nuanced approach to climate change.
Correct Answer: A — This is a complex issue that requires a nuanced approach.
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Q. Which of the following sentences would best fit in the blank in the passage? (2023)
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A.
This shift has been largely beneficial.
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B.
Many people oppose this change.
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C.
The consequences are still being evaluated.
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D.
It has sparked a significant debate.
Solution
The context of the passage suggests that the shift mentioned has led to considerable discussion, making this option the most fitting.
Correct Answer: D — It has sparked a significant debate.
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Q. Which of the following sentences would best fit in the blank space in the passage?
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A.
The CAT exam is known for its unpredictability.
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B.
Many students underestimate the verbal section.
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C.
Preparation strategies vary among candidates.
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D.
Success in CAT requires a balanced approach.
Solution
The context suggests that unpredictability is a significant aspect of the CAT exam, making this option the best fit.
Correct Answer: B — Many students underestimate the verbal section.
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Q. Which of the following sentences would best serve as a conclusion to the paragraph? (2023)
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A.
Thus, the implications of these findings are profound.
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B.
In conclusion, the study was inconclusive.
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C.
Therefore, further research is unnecessary.
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D.
As a result, the data was flawed.
Solution
The first option summarizes the significance of the findings, making it a suitable conclusion.
Correct Answer: A — Thus, the implications of these findings are profound.
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Q. Which of the following sequences cannot be a harmonic progression?
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A.
1, 1/2, 1/3
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B.
2, 4, 8
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C.
3, 1, 1/3
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D.
5, 10, 15
Solution
The sequence 2, 4, 8 does not have reciprocals that form an arithmetic progression, hence it cannot be a harmonic progression.
Correct Answer: B — 2, 4, 8
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Q. Which of the following sequences is a geometric progression?
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A.
1, 2, 4, 8
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B.
1, 3, 6, 10
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C.
2, 4, 8, 16
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D.
1, 1, 1, 1
Solution
The sequence 2, 4, 8, 16 has a constant ratio of 2, making it a geometric progression.
Correct Answer: C — 2, 4, 8, 16
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Q. Which of the following sequences is a harmonic progression?
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A.
1, 2, 3
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B.
1, 1/2, 1/3
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C.
2, 4, 6
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D.
3, 6, 9
Solution
The sequence 1, 1/2, 1/3 has reciprocals 1, 2, 3 which are in arithmetic progression, thus it is a harmonic progression.
Correct Answer: B — 1, 1/2, 1/3
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Q. Which of the following sequences is an arithmetic progression?
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A.
2, 4, 8, 16
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B.
1, 3, 5, 7
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C.
5, 10, 15, 25
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D.
3, 6, 9, 12
Solution
An arithmetic progression has a constant difference between consecutive terms. The sequence 1, 3, 5, 7 has a common difference of 2.
Correct Answer: B — 1, 3, 5, 7
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Q. Which of the following sets is a power set of F = {1, 2}?
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A.
{{1}, {2}}
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B.
{{}, {1}, {2}, {1, 2}}
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C.
{{1, 2}}
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D.
{{1, 2}, {1}}
Solution
The power set of F = {1, 2} is {{}, {1}, {2}, {1, 2}}.
Correct Answer: B — {{}, {1}, {2}, {1, 2}}
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Q. Which of the following sets is a power set of F = {a, b}?
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A.
{∅, {a}, {b}}
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B.
{∅, {a}, {b}, {a, b}}
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C.
{a, b}
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D.
{a, b, ∅}
Solution
The power set of F = {a, b} is {∅, {a}, {b}, {a, b}}.
Correct Answer: B — {∅, {a}, {b}, {a, b}}
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Q. Which of the following sets is a universal set for the sets A = {1, 2} and B = {2, 3}?
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A.
{1, 2, 3}
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B.
{2, 3, 4}
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C.
{1, 2, 4}
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D.
{1, 3}
Solution
A universal set contains all elements under consideration. Here, {1, 2, 3} contains all elements from both A and B.
Correct Answer: A — {1, 2, 3}
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Q. Which of the following sets is equal to the power set of G = {x, y}?
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A.
{∅, {x}, {y}, {x, y}}
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B.
{x, y}
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C.
{∅, {x, y}}
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D.
{x, y, ∅}
Solution
The power set of a set with n elements has 2^n subsets. For G, n=2, so the power set is {∅, {x}, {y}, {x, y}}.
Correct Answer: A — {∅, {x}, {y}, {x, y}}
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Q. Which of the following sets is equal to the set of all subsets of {1, 2}?
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A.
{{1}, {2}}
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B.
{{}, {1}, {2}, {1, 2}}
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C.
{{1, 2}}
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D.
{{1, 2}, {1}, {2}}
Solution
The power set of {1, 2} is {{}, {1}, {2}, {1, 2}}.
Correct Answer: B — {{}, {1}, {2}, {1, 2}}
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Q. Which of the following sets is not a subset of {1, 2, 3, 4}?
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A.
{1, 2}
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B.
{2, 3, 4}
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C.
{5}
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D.
{1, 2, 3}
Solution
A subset can only contain elements from the original set. {5} is not a subset of {1, 2, 3, 4}.
Correct Answer: C — {5}
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Q. Which of the following sets is not a subset of {x | x is a natural number}?
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A.
{1, 2}
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B.
{0}
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C.
{3, 4}
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D.
{5, 6}
Solution
The set {0} is not a subset of the natural numbers, as natural numbers start from 1.
Correct Answer: B — {0}
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Q. Which of the following sets of quantum numbers corresponds to a 3p electron?
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A.
n=3, l=0, m_l=0
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B.
n=3, l=1, m_l=1
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C.
n=2, l=1, m_l=0
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D.
n=3, l=2, m_l=0
Solution
For a 3p electron, n=3 and l=1. The magnetic quantum number m_l can be -1, 0, or +1.
Correct Answer: B — n=3, l=1, m_l=1
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Q. Which of the following sets of quantum numbers corresponds to an electron in a 4d orbital?
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A.
n=4, l=0, m_l=0
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B.
n=4, l=2, m_l=1
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C.
n=3, l=2, m_l=2
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D.
n=4, l=1, m_l=0
Solution
For a 4d orbital, n=4 and l=2. The m_l value can be -2, -1, 0, +1, +2.
Correct Answer: B — n=4, l=2, m_l=1
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Q. Which of the following sets of quantum numbers is not allowed?
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A.
n=2, l=1, m_l=0
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B.
n=3, l=2, m_l=2
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C.
n=1, l=0, m_l=1
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D.
n=4, l=3, m_l=-3
Solution
For l=0, m_l can only be 0. Therefore, n=1, l=0, m_l=1 is not allowed.
Correct Answer: C — n=1, l=0, m_l=1
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Q. Which of the following sets of quantum numbers is not possible?
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A.
n=3, l=2, m_l=1
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B.
n=2, l=1, m_l=2
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C.
n=4, l=3, m_l=0
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D.
n=1, l=0, m_l=0
Solution
For l=1, m_l can only be -1, 0, or +1. Therefore, m_l=2 is not possible.
Correct Answer: B — n=2, l=1, m_l=2
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Q. Which of the following shapes can be formed by folding the paper?
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A.
Shape 1
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B.
Shape 2
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C.
Shape 3
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D.
Shape 4
Solution
Shape 1 can be formed by folding the paper along the specified lines.
Correct Answer: A — Shape 1
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Q. Which of the following shapes completes the pattern? (2022)
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A.
Shape 1
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B.
Shape 2
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C.
Shape 3
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D.
Shape 4
Solution
Shape 4 completes the pattern as it follows the established sequence.
Correct Answer: D — Shape 4
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Q. Which of the following shapes does not belong to the group: Circle, Square, Triangle, Rectangle? (2022)
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A.
Circle
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B.
Square
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C.
Triangle
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D.
Rectangle
Solution
All except Circle have straight edges.
Correct Answer: A — Circle
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