Q. What is the tone of the passage regarding the future of the planet? (2023)
-
A.
Optimistic
-
B.
Pessimistic
-
C.
Neutral
-
D.
Indifferent
Solution
The passage conveys a sense of urgency and concern, indicating a pessimistic view of the future if current trends continue.
Correct Answer:
B
— Pessimistic
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Q. What is the tone of the passage regarding the issue of inequalities?
-
A.
Optimistic
-
B.
Pessimistic
-
C.
Neutral
-
D.
Indifferent
Solution
The author maintains an optimistic tone, suggesting that change is possible and necessary.
Correct Answer:
A
— Optimistic
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Q. What is the tone of the passage regarding the urgency of addressing climate change?
-
A.
Optimistic and hopeful.
-
B.
Indifferent and passive.
-
C.
Urgent and alarming.
-
D.
Skeptical and dismissive.
Solution
The passage conveys a sense of urgency and alarm about the need to address climate change, making option 2 the correct tone.
Correct Answer:
C
— Urgent and alarming.
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Q. What is the tone of the passage when discussing historical events?
-
A.
Nostalgic
-
B.
Critical
-
C.
Objective
-
D.
Sarcastic
Solution
The author maintains an objective tone while discussing historical events, focusing on facts rather than emotions.
Correct Answer:
C
— Objective
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Q. What is the tone of the passage when discussing the impact of social media?
-
A.
Celebratory
-
B.
Critical
-
C.
Neutral
-
D.
Nostalgic
Solution
The passage adopts a critical tone towards the negative impacts of social media on society.
Correct Answer:
B
— Critical
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Q. What is the tone of the passage? (2023)
-
A.
Sarcastic
-
B.
Formal
-
C.
Casual
-
D.
Pessimistic
Solution
The tone is formal, as it discusses serious topics in a structured manner.
Correct Answer:
B
— Formal
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Q. What is the total sales figure for Product A over the four quarters? (2000)
-
A.
1200 units
-
B.
1500 units
-
C.
1800 units
-
D.
2000 units
Solution
The total sales for Product A over the four quarters is 1500 units.
Correct Answer:
B
— 1500 units
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Q. What is the total sales of all products combined in Q1?
-
A.
1200 units
-
B.
1500 units
-
C.
1000 units
-
D.
1300 units
Solution
The total sales in Q1 is 1200 units when all products are summed up.
Correct Answer:
A
— 1200 units
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Q. What is the total sales of Product A over the four quarters as per the table?
-
A.
1200
-
B.
1300
-
C.
1400
-
D.
1500
Solution
The total sales of Product A over the four quarters is 1300 units.
Correct Answer:
B
— 1300
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Q. What is the total sales of Product A over the four quarters?
-
A.
1200
-
B.
1300
-
C.
1400
-
D.
1500
Solution
The total sales of Product A over the four quarters is 1300 units.
Correct Answer:
B
— 1300
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Q. What is the total sales of Product B over the four quarters?
-
A.
1200 units
-
B.
1500 units
-
C.
1000 units
-
D.
1300 units
Solution
The total sales of Product B over the four quarters is 1200 units.
Correct Answer:
A
— 1200 units
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Q. What is the total surface area of a cube with a side length of 4 cm?
-
A.
48 cm²
-
B.
64 cm²
-
C.
96 cm²
-
D.
32 cm²
Solution
The total surface area of a cube is given by 6s². For a side length of 4 cm, the total surface area is 6(4)² = 96 cm².
Correct Answer:
A
— 48 cm²
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Q. What is the total surface area of a sphere with a radius of 7 cm?
-
A.
49π
-
B.
98π
-
C.
144π
-
D.
196π
Solution
The total surface area of a sphere is given by SA = 4πr². Here, r = 7, so SA = 4π(7)² = 196π.
Correct Answer:
B
— 98π
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Q. What is the underlying message of the passage about consumerism? (2023)
-
A.
It promotes excessive spending
-
B.
It encourages minimalism
-
C.
It critiques societal values
-
D.
It supports economic growth
Solution
The passage critiques societal values related to consumerism, suggesting it leads to negative consequences.
Correct Answer:
C
— It critiques societal values
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Q. What is the underlying message of the passage regarding consumerism?
-
A.
It is beneficial for society
-
B.
It leads to environmental degradation
-
C.
It fosters innovation
-
D.
It is a personal choice
Solution
The passage conveys that consumerism has detrimental effects on the environment.
Correct Answer:
B
— It leads to environmental degradation
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Q. What is the value of (5^0 + 5^1 + 5^2)? (2023)
Solution
Calculating each term, we have 5^0 = 1, 5^1 = 5, and 5^2 = 25. Therefore, 1 + 5 + 25 = 31.
Correct Answer:
C
— 15
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Q. What is the value of (5^3 * 5^2) / 5^4?
Solution
Using the property of exponents, (5^3 * 5^2) = 5^(3+2) = 5^5. Thus, (5^5) / (5^4) = 5^(5-4) = 5^1 = 5.
Correct Answer:
B
— 1
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Q. What is the value of 5^(-2)?
-
A.
0.04
-
B.
0.2
-
C.
2.5
-
D.
25
Solution
5^(-2) is equal to 1/(5^2) = 1/25 = 0.04.
Correct Answer:
A
— 0.04
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Q. What is the value of 5^(2) * 5^(3) / 5^(4)? (2023)
Solution
Using the property of exponents, we have 5^(2 + 3 - 4) = 5^1 = 5.
Correct Answer:
A
— 5
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Q. What is the value of 5^(x+1) / 5^(x-1)? (2023)
-
A.
5^2
-
B.
5^0
-
C.
5^1
-
D.
5^(x+2)
Solution
Using the property of exponents a^m / a^n = a^(m-n), we have 5^(x+1) / 5^(x-1) = 5^((x+1)-(x-1)) = 5^2.
Correct Answer:
A
— 5^2
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Q. What is the value of log_10(0.1)? (2023)
Solution
log_10(0.1) = log_10(10^-1) = -1.
Correct Answer:
A
— -1
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Q. What is the value of log_2(8) + log_2(4)?
Solution
log_2(8) = 3 and log_2(4) = 2, thus log_2(8) + log_2(4) = 3 + 2 = 5.
Correct Answer:
A
— 5
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Q. What is the value of P(1) for the polynomial P(x) = 2x^2 + 3x - 5?
Solution
Substituting x = 1 into P(x) gives P(1) = 2(1)^2 + 3(1) - 5 = 0.
Correct Answer:
B
— 1
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Q. What is the value of P(1) for the polynomial P(x) = x^3 - 3x^2 + 4?
Solution
Substituting x = 1 into P(x) gives P(1) = 1^3 - 3(1^2) + 4 = 2.
Correct Answer:
A
— 2
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Q. What is the value of P(2) if P(x) = x^3 - 3x^2 + 4?
Solution
Substituting x = 2 into P(x) gives P(2) = 2^3 - 3(2^2) + 4 = 8 - 12 + 4 = 0.
Correct Answer:
C
— 6
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Q. What is the value of the coefficient of x^2 in the expansion of (3x - 2)^4?
-
A.
-36
-
B.
36
-
C.
-54
-
D.
54
Solution
The coefficient of x^2 is given by 4C2 * (3^2) * (-2)^2 = 6 * 9 * 4 = 216.
Correct Answer:
A
— -36
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Q. What is the value of the coefficient of x^4 in the expansion of (3x - 2)^6?
-
A.
-540
-
B.
540
-
C.
-720
-
D.
720
Solution
The coefficient of x^4 in (3x - 2)^6 is given by 6C4 * (3^4) * (-2)^2 = 15 * 81 * 4 = 4860.
Correct Answer:
A
— -540
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Q. What is the value of the coefficient of x^5 in the expansion of (3x - 2)^8?
-
A.
-6720
-
B.
6720
-
C.
13440
-
D.
-13440
Solution
The coefficient is C(8,5) * (3^5) * (-2)^3 = 56 * 243 * (-8) = -6720.
Correct Answer:
A
— -6720
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Q. What is the value of the polynomial p(x) = 3x^2 - 2x + 1 at x = 2?
Solution
Substituting x = 2 into the polynomial gives p(2) = 3(2^2) - 2(2) + 1 = 12 - 4 + 1 = 9.
Correct Answer:
C
— 9
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Q. What is the value of the polynomial p(x) = 3x^2 - 4x + 1 at x = 2?
Solution
Substituting x = 2 into the polynomial gives p(2) = 3(2^2) - 4(2) + 1 = 12 - 8 + 1 = 5.
Correct Answer:
C
— 5
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