CSS · Federal Public Service Commission · 2024
Solved CSS GSA 2024 maths questions Q31–60 — 30 MCQs with verified answers and explanations (geometry, algebra, permutations, probability, sequences, mensuration). A partial section from a Sir Adnan booklet, not the full GSA paper.
Paper Snapshot
Questions
30
Time
30
Minutes
Subjects
1
Topics
25
Read mode shows correct answers. Attempt mode hides answers, starts timer, and shows your result after submission.
About this paper
A 30-item maths portion (printed Q31–60) from the Sir Adnan booklet headed 'CSS GSA 2024' in the monster-data 'CSS MPT PAST PAPERS' pack. All 30 printed items are published in the standard MCQ format with their printed options, verified answers and explanations; optionsSource is 'printed'. Nine items carry duplicate-option flags (two printed options identical) and two items (printed Q46 and Q57) are published in the revised form the source itself printed after its first version failed (Q46's first option set omitted the correct value 108; Q57's first shift pattern matched no option). The booklet prints only Q31–60 here, so this is labelled as a partial section, never as a full paper.
Paper Controls
Subject 1
Topic Section
1 solved MCQs shown directly below
Correct Answer: 80°
The angles of a triangle sum to 180°. The ratio has 2+3+4 = 9 parts, so each part is 180° / 9 = 20°, and the largest angle is 4 x 20° = 80°.
Topic Section
1 solved MCQs shown directly below
Correct Answer: 5
For ax² + bx + c = 0, the sum of the roots is -b/a = -(-5)/1 = 5.
Topic Section
1 solved MCQs shown directly below
Correct Answer: 30
LEVEL has 5 letters with L repeated twice and E repeated twice, so the distinct permutations are 5! / (2! x 2!) = 120 / 4 = 30.
Topic Section
2 solved MCQs shown directly below
Correct Answer: 490π cm³
Volume = πr²h = π x 7² x 10 = π x 49 x 10 = 490π cm³.
Correct Answer: 30 cm²
Area = 1/2 x base x height = 0.5 x 10 x 6 = 30 cm².
Topic Section
2 solved MCQs shown directly below
Correct Answer: 1 : 4
Odds in favour = p / (1 - p) = 0.2 / 0.8 = 1/4, i.e. 1 : 4.
Correct Answer: 1/13
There are 4 Aces out of 52 cards, so the probability is 4/52 = 1/13.
Topic Section
1 solved MCQs shown directly below
Correct Answer: 36
12 = 2² x 3 and 18 = 2 x 3², so the LCM is 2² x 3² = 4 x 9 = 36.
Topic Section
3 solved MCQs shown directly below
Correct Answer: 26
a(5) = 5² + 1 = 25 + 1 = 26.
Correct Answer: 21
Each term after the first two is the sum of the previous two (Fibonacci-like): 8 + 13 = 21.
Correct Answer: 32
The differences are 3, 6, 9, so the next difference is 12, giving 20 + 12 = 32.
Topic Section
1 solved MCQs shown directly below
Correct Answer: 3
1000 = 10³, so log10(1000) = 3.
Topic Section
1 solved MCQs shown directly below
Correct Answer: 10 years
Let the son be x, so the father is 3x. In 10 years: 3x + 10 = 2(x + 10), giving 3x + 10 = 2x + 20, so x = 10 years.
Topic Section
1 solved MCQs shown directly below
Correct Answer: 14
Mean = (8 + 20) / 2 = 28 / 2 = 14.
Topic Section
1 solved MCQs shown directly below
Correct Answer: r
Chord length = 2r sin(θ/2) = 2r sin 30° = 2r x 1/2 = r.
Topic Section
1 solved MCQs shown directly below
Correct Answer: 9
Sum = (n - 2) x 180° = 1260°, so n - 2 = 1260 / 180 = 7, giving n = 9.
Topic Section
2 solved MCQs shown directly below
Correct Answer: 3/4
GCD(45, 60) = 15, so 45/60 = (45 ÷ 15) / (60 ÷ 15) = 3/4.
Correct Answer: 17/16
With common denominator 16: (14/16) + (3/16) = 17/16.
Topic Section
1 solved MCQs shown directly below
Correct Answer: 4
? = 28 ÷ 7 = 4.
Topic Section
1 solved MCQs shown directly below
Correct Answer: 108
3³ = 27 and 2² = 4, so 27 x 4 = 108.
Topic Section
1 solved MCQs shown directly below
Correct Answer: 16√3 cm²
Side = 24 / 3 = 8 cm. Area = (√3/4) x 8² = (√3/4) x 64 = 16√3 cm².
Topic Section
1 solved MCQs shown directly below
Correct Answer: 5π/6
150° x (π/180) = (150/180)π = (5/6)π = 5π/6.
Topic Section
1 solved MCQs shown directly below
Correct Answer: Decrease by 4%
Start from 100: after +20% it is 120, after -20% of 120 it is 120 - 24 = 96, a net change of -4, i.e. a decrease of 4%.
Topic Section
1 solved MCQs shown directly below
Correct Answer: 24
The ratio has 3 + 5 = 8 parts, so x = (3/8) x 64 = 24.
Topic Section
1 solved MCQs shown directly below
Correct Answer: 1234
The digits in ascending order are 1, 2, 3, 4, giving 1234.
Topic Section
1 solved MCQs shown directly below
Correct Answer: 18 days
Let B's rate be x per day, so A's rate is 2x and the combined rate is 3x. The job takes 1/(3x) = 6 days, so 3x = 1/6 and x = 1/18; B alone needs 1/x = 18 days.
Topic Section
1 solved MCQs shown directly below
Correct Answer: 36
9 + 9 + 9 + 9 = 36.
Topic Section
1 solved MCQs shown directly below
Correct Answer: DIBJS
C→D, H→I, A→B, I→J, R→S, giving DIBJS.
Topic Section
1 solved MCQs shown directly below
Correct Answer: 42
14 → 28 is x2, so 21 → 21 x 2 = 42.
Topic Section
1 solved MCQs shown directly below
Correct Answer: 3
Numbers congruent to 3 mod 7 are 3, 10, 17, ...; the least positive one is 3.
Source & verification
Built by GK360 from verified bank questions — every answer rechecked before publishing.
Questions
No. The booklet prints only questions 31–60, all maths, so this is published as a partial section with that numbering retained. It must not be quoted as the full GSA paper.
All 30 printed items (Q31–60) are published; none was dropped. Every answer was rechecked against its worked solution.
Nine items print the correct value twice (for example Q47 prints 16√3 cm² as both options A and B). The duplication is flagged in keyFlag on each affected question and the answer is unchanged.
The source itself corrected both after first printing a faulty version: Q46's first option set omitted the correct value 108, and Q57's first increasing-shift pattern gave DJDMW, which matched no option. Both are published here in the source's own revised form, with the correction recorded in keyFlag.
Explore GK360
Use these important GK360 sections to prepare for PPSC, FPSC, one paper exams, subject-wise MCQs, solved past papers and current affairs.
