Q. What is the remainder when 145 is divided by 12?
Solution
145 divided by 12 gives a remainder of 1.
Correct Answer: B — 2
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Q. What is the remainder when 250 is divided by 7?
Solution
250 divided by 7 gives a quotient of 35 and a remainder of 5.
Correct Answer: A — 1
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Q. What is the remainder when 256 is divided by 7?
Solution
256 divided by 7 gives a quotient of 36 and a remainder of 4.
Correct Answer: B — 4
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Q. What is the remainder when 987654 is divided by 9?
Solution
The sum of the digits of 987654 is 39, which is divisible by 9, hence the remainder is 0.
Correct Answer: A — 0
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Q. What is the result of adding the binary numbers 1011 and 1101?
-
A.
11000
-
B.
10100
-
C.
10010
-
D.
11110
Solution
Adding 1011 and 1101 in binary results in 11110.
Correct Answer: D — 11110
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Q. What is the result of adding the polynomials P(x) = 3x^2 + 2x + 1 and Q(x) = x^2 - x + 4?
-
A.
4x^2 + x + 5
-
B.
4x^2 + 3x + 5
-
C.
2x^2 + x + 5
-
D.
3x^2 + x + 5
Solution
Adding the polynomials gives (3x^2 + x^2) + (2x - x) + (1 + 4) = 4x^2 + x + 5.
Correct Answer: A — 4x^2 + x + 5
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Q. What is the result of the symmetric difference between two hybrid sets A and B?
-
A.
Elements common to both sets.
-
B.
Elements unique to each set.
-
C.
All elements from both sets.
-
D.
No elements at all.
Solution
The symmetric difference includes elements that are unique to each set, excluding those that are common.
Correct Answer: B — Elements unique to each set.
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Q. What is the role of a 'silent partner' in a partnership?
-
A.
To manage the business actively
-
B.
To provide capital without participating in management
-
C.
To take on all liabilities
-
D.
To make all strategic decisions
Solution
A silent partner provides capital to the partnership but does not take part in the day-to-day management of the business.
Correct Answer: B — To provide capital without participating in management
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Q. What is the significance of 'resource constraints' in project planning?
-
A.
They help in identifying potential risks.
-
B.
They ensure that all projects are completed on time.
-
C.
They limit the scope of projects to fit available resources.
-
D.
They allow for more innovative project designs.
Solution
Resource constraints limit the scope of projects to fit available resources, which is accurately described in option 2.
Correct Answer: C — They limit the scope of projects to fit available resources.
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Q. What is the significance of digital sum in data analysis as mentioned in the passage? (2023)
-
A.
It reduces the complexity of data sets.
-
B.
It enhances the accuracy of data interpretation.
-
C.
It simplifies the process of data storage.
-
D.
It increases the speed of data processing.
Solution
The passage highlights that digital sum plays a crucial role in enhancing the accuracy of data interpretation.
Correct Answer: B — It enhances the accuracy of data interpretation.
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Q. What is the significance of historical context in understanding inequalities, according to the passage?
-
A.
It is irrelevant to current discussions.
-
B.
It provides insight into the roots of inequalities.
-
C.
It complicates the issue unnecessarily.
-
D.
It is only important for economic inequalities.
Solution
The passage highlights that understanding historical context is essential for grasping the roots and persistence of inequalities.
Correct Answer: B — It provides insight into the roots of inequalities.
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Q. What is the significance of the anecdote shared in the middle of the passage?
-
A.
To illustrate a point made earlier
-
B.
To provide a humorous break in the text
-
C.
To introduce a new argument
-
D.
To distract from the main topic
Solution
The anecdote serves to illustrate and reinforce a key point discussed earlier in the passage, making option A the correct answer.
Correct Answer: A — To illustrate a point made earlier
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Q. What is the significance of the concluding statement in the passage?
-
A.
It reinforces the main argument presented.
-
B.
It introduces a new topic for discussion.
-
C.
It summarizes the key points made earlier.
-
D.
It poses a question for further reflection.
Solution
The concluding statement reinforces the main argument presented in the passage, making option 0 the correct choice.
Correct Answer: A — It reinforces the main argument presented.
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Q. What is the significance of the examples provided in the passage regarding inequalities?
-
A.
They illustrate the author's personal experiences.
-
B.
They serve to highlight the complexity of the issue.
-
C.
They are irrelevant to the main argument.
-
D.
They simplify the concept of inequalities.
Solution
The examples are used to illustrate the complexity of inequalities, reinforcing the author's argument.
Correct Answer: B — They serve to highlight the complexity of the issue.
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Q. What is the significance of the examples provided in the passage?
-
A.
They illustrate the author's personal experiences with technology.
-
B.
They serve to highlight the complexities of technological ethics.
-
C.
They are meant to entertain the reader.
-
D.
They provide statistical data to support the author's claims.
Solution
The examples illustrate the complexities of technological ethics, reinforcing the author's arguments about the need for careful consideration.
Correct Answer: B — They serve to highlight the complexities of technological ethics.
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Q. What is the significance of the findings discussed in the passage?
-
A.
They confirm existing theories.
-
B.
They open new avenues for exploration.
-
C.
They are irrelevant to current scientific discourse.
-
D.
They have been widely criticized.
Solution
The findings are significant as they open new avenues for exploration in the field, indicating their importance.
Correct Answer: B — They open new avenues for exploration.
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Q. What is the significance of the phrase 'cultural heritage' as used in the passage? (2023)
-
A.
It refers to outdated traditions.
-
B.
It highlights the importance of preserving historical sites.
-
C.
It emphasizes the value of diverse cultural practices.
-
D.
It suggests a need for modernization.
Solution
The passage discusses the importance of valuing and preserving diverse cultural practices, making option 3 the most significant interpretation.
Correct Answer: C — It emphasizes the value of diverse cultural practices.
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Q. What is the significance of the statistics mentioned in the passage regarding literacy rates?
-
A.
They show a decline in global literacy.
-
B.
They highlight disparities between different regions.
-
C.
They indicate that literacy is no longer a priority.
-
D.
They suggest that literacy rates are improving uniformly.
Solution
The statistics reveal significant differences in literacy rates across various regions, emphasizing the need for targeted educational initiatives.
Correct Answer: B — They highlight disparities between different regions.
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Q. What is the significance of the statistics mentioned in the passage regarding renewable energy adoption?
-
A.
They show a decline in public interest.
-
B.
They indicate a growing trend towards sustainability.
-
C.
They are irrelevant to the main argument.
-
D.
They suggest that renewable energy is too expensive.
Solution
The statistics highlight an increasing trend in renewable energy adoption, supporting the argument for sustainability.
Correct Answer: B — They indicate a growing trend towards sustainability.
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Q. What is the significance of the statistics presented in the passage about global literacy rates? (2023)
-
A.
They show a steady decline in literacy rates worldwide.
-
B.
They highlight the progress made in improving literacy.
-
C.
They indicate that literacy is no longer a priority.
-
D.
They suggest that literacy rates are irrelevant to economic growth.
Solution
The statistics demonstrate significant improvements in global literacy rates, underscoring the importance of educational initiatives.
Correct Answer: B — They highlight the progress made in improving literacy.
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Q. What is the simplified form of (2^3)^2? (2023)
-
A.
2^5
-
B.
2^6
-
C.
2^7
-
D.
2^8
Solution
Using the property of exponents (a^m)^n = a^(m*n), we have (2^3)^2 = 2^(3*2) = 2^6.
Correct Answer: B — 2^6
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Q. What is the simplified form of (x^2 * y^3)^(2)? (2023)
-
A.
x^4 * y^6
-
B.
x^2 * y^3
-
C.
x^6 * y^4
-
D.
x^5 * y^3
Solution
Using the power of a product property, we have (x^2 * y^3)^(2) = x^(2*2) * y^(3*2) = x^4 * y^6.
Correct Answer: A — x^4 * y^6
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Q. What is the solution set of the inequality 2x - 4 < 0?
-
A.
x < 2
-
B.
x > 2
-
C.
x = 2
-
D.
x ≤ 2
Solution
Solving the inequality gives 2x < 4, thus x < 2.
Correct Answer: A — x < 2
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Q. What is the sum of the first 15 terms of an arithmetic progression where the first term is 2 and the common difference is 4?
-
A.
120
-
B.
130
-
C.
140
-
D.
150
Solution
The sum of the first n terms S_n = n/2 * (2a + (n-1)d). Here, S_15 = 15/2 * (2*2 + 14*4) = 15/2 * (4 + 56) = 15/2 * 60 = 450.
Correct Answer: A — 120
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Q. What is the sum of the interior angles of a quadrilateral? (2023)
-
A.
180 degrees
-
B.
360 degrees
-
C.
540 degrees
-
D.
720 degrees
Solution
The sum of the interior angles of any quadrilateral is 360 degrees.
Correct Answer: B — 360 degrees
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Q. What is the sum of the numbers '101' and '110' in binary?
-
A.
1011
-
B.
111
-
C.
1001
-
D.
1100
Solution
In binary, '101' + '110' = '1011'.
Correct Answer: A — 1011
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Q. What is the sum of the roots of the quadratic equation 2x^2 - 8x + 6 = 0?
Solution
The sum of the roots is given by -b/a = 8/2 = 4.
Correct Answer: B — 4
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Q. What is the surface area of a cube with a side length of 5 cm? (2021)
-
A.
50 cm²
-
B.
75 cm²
-
C.
100 cm²
-
D.
125 cm²
Solution
Surface area = 6 * (side)² = 6 * (5)² = 6 * 25 = 150 cm².
Correct Answer: C — 100 cm²
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Q. What is the tone of the passage discussing the impact of social media on communication?
-
A.
Critical
-
B.
Celebratory
-
C.
Neutral
-
D.
Nostalgic
Solution
The passage critically examines the negative effects of social media on genuine communication.
Correct Answer: A — Critical
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Q. What is the tone of the passage regarding the future of artificial intelligence? (2023)
-
A.
Optimistic
-
B.
Cautious
-
C.
Skeptical
-
D.
Indifferent
Solution
The author expresses a hopeful outlook on the advancements and potential of artificial intelligence, indicating optimism.
Correct Answer: B — Cautious
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