April 2024 Edition
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April 2024 Current Affairs MCQs & Solutions
Top national & international current affairs questions for CSS, PMS, FPSC, PPSC, and NTS screening tests.
#3561
What is k, given that 27^k = 9? (CSS-2024)
(a) 1/3
(b) 2/3
(c) 4/3
(d) None of these
Explanation: 27 = 3^3, 9 = 3^2; so 27^k = (3^3)^k = 3^(3k) = 3^2. Equate exponents: 3k = 2, k = 2/3.
#3562
Given: 2x^2 - 11x + 10 = 0, then x is: (CSS-2024)
(a) -1, -10
(b) -1, 10
(c) 1, -10
(d) None of these
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)
#3563
“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
Explanation: G-2 refers to US-China bilateral relations (diplomatic studies).
#3564
When was the “Made in China 2025” strategic plan initiated? (CSS-2024)
(a) 2010
(b) 2015
(c) 2020
(d) None of these
Explanation: Launched in 2015 to advance manufacturing (Chinese policy documents).
#3565
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
Explanation: Djibouti is at the Red Sea’s entrance, near the Bab-el-Mandeb (geographical records).
#3566
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
Explanation: Includes Somalia, Ethiopia, Eritrea, Djibouti (UN geographical classification).
#3567
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
Explanation: The President appoints the Chief Justice, per Pakistan’s Constitution (Article 175A). Mathematics (Q110–Q128)
#3568
What are their present ages? (CSS-2024)
(a) 8 and 40
(b) 7 and 35
(c) 6 and 30
(d) None of these
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.
#3569
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
Explanation: Solve: -7 < 4n ≤ 8. Divide by 4: -1.75 < n ≤ 2. Integers: -1, 0, 1, 2.
#3570
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
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,
#3571
Find the value of a, when A = (2x + y)x^2, where A = 36 and y = 2.77. (CSS-2024)
(a) 3
(b) 4
(c) 2
(d) None of these
Explanation: A = x^2(2x + 2.77) = 36. Let z = x^2. Then z(2√z + 2.77) = 36. Solve numerically or test options; x = 2 fits approximately.
#3572
Name the regular polygon that has an exterior angle of 36. (CSS-2024)
(a) Pentagon
(b) Hexagon
(c) Decagon
(d) None of these
Explanation: Exterior angle = 360/n. Then 360/n = 36, n = 10 (decagon).
#3573
What is the perimeter of a semi-circle lake having a radius of 700m? (CSS-2024)
(a) 127.4 km
(b) 3.6 km
(c) 2.9 km
(d) None of these
Explanation: Perimeter = πr + 2r = 700π + 1400 ≈ 2200 + 1400 = 3600 m = 3.6 km. Option C (2.9 km) seems incorrect; likely a typo.
#3574
Given: PQS, QRT, RSU, STV ... What should follow? (CSS-2024)
(a) TUW
(b) SUV
(c) STU
(d) None of these
Explanation: Pattern: First letter increases by 1 (P, Q, R, S, T), second by 1 (Q, R, S, T, U), third by 2 (S, T, U, V, W). Next: TUW.
#3575
What is the next term in the series? 11, 20, 35, 56, 83 (CSS-2024)
(a) 108
(b) 122
(c) None of these
Explanation: Differences: 9, 15, 21, 27 (+6 each). Next: 27 + 6 = 33. 83 + 33 = 116. Option B (122) likely a typo.
#3576
“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
Explanation: Duplicate of Q101; retained here for completeness.
#3577
When was the “Made in China 2025” strategic plan initiated? (CSS-2024)
(a) 2010
(b) 2015
(c) 2020
(d) None of these
Explanation: Duplicate of Q104; retained for completeness.
#3578
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
Explanation: Duplicate of Q105; retained for completeness.
#3579
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
Explanation: Duplicate of Q106; retained for completeness.
#3580
What is the output voltage of a step-up transformer? (CSS-2024)
(a) The output voltage is greater than the input voltage
(b) The output voltage is equal to the input voltage
(c) The output voltage is less than the input voltage
(d) None of these
Explanation: Duplicate of Q1. A step-up transformer increases voltage due to more secondary coil turns (Halliday & Resnick).