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71
Find the value of a^3 + 2b^2, when a + b = 5 and ab = 6. (CSS-2024)
A. 37
B. a = 3, b = 2 (or vice versa). Then a^3 + 2b^2 = 27 + 2×4 = 35. Option A (37) seems incorrect;
C. 13
D. None of these
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Correct Option
Explanation
a + b = 5, ab = 6. Then a^2 + b^2 = (a + b)^2 - 2ab = 25 - 12 = 13. a^3 = a(a^2 + b^2 - b^2) = a(13 - b^2). Use (a - b)^2 = (a + b)^2 - 4ab = 25 - 24 = 1, so a - b = ±1. Solve for a,
72
What integer values can n have, given the inequality, -7 < 4n ≤ 8? (CSS-2024)
A. -1, 0, 1, 2
B. -2, -1, 0, 1, 2
C. -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7, 8
D. None of these
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Correct Option
Explanation
Solve: -7 < 4n ≤ 8. Divide by 4: -1.75 < n ≤ 2. Integers: -1, 0, 1, 2.
73
What are their present ages? (CSS-2024)
A. 8 and 40
B. 7 and 35
C. 6 and 30
D. None of these
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Correct Option
Explanation
Let son’s age = x, man’s = 5x. Four years ago: (x - 4)(5x - 4) = 52. Solve: 5x^2 - 24x + 16 = 52, 5x^2 - 24x - 36 = 0. Discriminant: 576 + 720 = 1296, x = [24 ± 36]/10 = 6 or -1.2. x = 6 gives ages 6, 30, but check fails: (6-4)(30-4) = 2×26 = 52. Correct, but not in options; likely error.
74
The Chief Justice of Supreme Court of Pakistan is appointed by the: (CSS-2024)
A. President
B. Prime Minister
C. Majority vote in the Parliament
D. None of these
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Correct Option
Explanation
The President appoints the Chief Justice, per Pakistan’s Constitution (Article 175A). Mathematics (Q110–Q128)
75
The Horn of Africa (HoA) is located in which part of the African continent? (CSS2024)
A. Eastern Africa
B. Western Africa
C. Northern Africa
D. None of these
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Correct Option
Explanation
Includes Somalia, Ethiopia, Eritrea, Djibouti (UN geographical classification).
76
Djibouti is strategically located at the mouth of which sea? (CSS-2024)
A. Mediterranean Sea
B. South China Sea
C. Red Sea
D. None of these
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Correct Option
Explanation
Djibouti is at the Red Sea’s entrance, near the Bab-el-Mandeb (geographical records).
77
When was the “Made in China 2025” strategic plan initiated? (CSS-2024)
A. 2010
B. 2015
C. 2020
D. None of these
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Correct Option
Explanation
Launched in 2015 to advance manufacturing (Chinese policy documents).
78
“G-2 or Group of Two” is an informal diplomacy between: (CSS-2024)
A. Germany and Greece
B. US and China
C. Germany and Ghana
D. None of these
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Correct Option
Explanation
G-2 refers to US-China bilateral relations (diplomatic studies).
79
Given: 2x^2 - 11x + 10 = 0, then x is: (CSS-2024)
A. -1, -10
B. -1, 10
C. 1, -10
D. None of these
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Correct Option
Explanation
Solve: 2x^2 - 11x + 10 = 0. Using quadratic formula: x = [11 ± √(121 - 80)]/4 = [11 ± √41]/4. No integer solutions match options. Additional International Affairs (Q101–Q109)
80
Find an integer such that four times the number subtracted from two times the
A. 31
B. -3
C. -5/3
D. None of these
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Correct Option
Explanation
fits; testing B (-3): 2(-3)^2 - 4(-3) = 18 + 12 = 30 ≠ 15. Likely a question error; -3 is closest.
