Join WhatsApp ChannelDaily MCQs & Exam Updates

PMS MCQs

Provincial Management Service — Complete MCQ Bank

271 Questions
Exam Preparation Guide

How to prepare for PMS

The Provincial Management Service examination tests candidates for administrative roles through general knowledge, language and province-focused compulsory papers.

General KnowledgePakistan StudiesEnglishProvincial Affairs
Focus on your province’s history and administration while maintaining strong preparation in current affairs and compulsory subjects.
Start PracticingTake a Mock Test
PMS preparation illustration
All Subjects Computer Science Current Affairs English General Knowledge Islamic Studies Mathematics Pakistan Studies
101
Current Affairs Easy

Who is the current Prime Minister of Pakistan?

  • AImran Khan
  • BShehbaz Sharif
  • CBilawal Bhutto
  • DAsif Ali Zardari
Permalink
Correct Answer: Option B — Shehbaz Sharif
Explanation: Shehbaz Sharif continues to serve as Pakistan's Prime Minister and has been actively engaged in regional diplomacy including efforts to mediate de-escalation during the 2026 Iran conflict.
Submitted by: PaperMCQs
102
Mathematics Hard

Differentiate f(x) = sin(x) + cos(x) with respect to x

  • Acos(x) - sin(x)
  • Bsin(x) - cos(x)
  • C-sin(x) + cos(x)
  • Dcos(x) + sin(x)
Permalink
Correct Answer: Option A — cos(x) - sin(x)
Explanation: d/dx[sin(x)] = cos(x) and d/dx[cos(x)] = -sin(x). Therefore the derivative of sin(x)+cos(x) = cos(x)-sin(x). Standard trigonometric derivatives must be memorized for calculus-based competitive exams. These are applied in finding maxima minima rates of change tangent line slopes and in solving differential equations.
Submitted by: PaperMCQs
103
Mathematics Hard

What is the value of log base 2 of 32 plus log base 2 of 4?

  • A7
  • B8
  • C9
  • D6
Permalink
Correct Answer: Option A — 7
Explanation: log₂(32) + log₂(4) = 5 + 2 = 7 using the property logb(x)+logb(y)=logb(xy) = log₂(128) = 7. Alternatively compute directly: 2⁵=32 so log₂(32)=5 and 2²=4 so log₂(4)=2. Logarithm addition and the change-of-base formula are frequently tested in competitive exam algebra sections.
Submitted by: PaperMCQs
104
Mathematics Hard

The function f(x) = x² is an example of what type of function?

  • ALinear
  • BEven
  • COdd
  • DInverse
Permalink
Correct Answer: Option B — Even
Explanation: f(x) = x² is an even function because f(-x) = (-x)² = x² = f(x). Even functions are symmetric about the y-axis. Odd functions satisfy f(-x) = -f(x) and are symmetric about the origin. Classifying functions as even odd or neither is a standard algebra and calculus topic in higher competitive exam mathematics papers.
Submitted by: PaperMCQs
105
Mathematics Hard

Solve: x² + 4x + 4 = 0 and identify the nature of roots

  • ATwo distinct real roots
  • BOne repeated real root
  • CTwo complex roots
  • DNo roots
Permalink
Correct Answer: Option B — One repeated real root
Explanation: Discriminant = b²-4ac = 16-16 = 0. When D=0 there is exactly one repeated root: x = -b/2a = -4/2 = -2. This is a perfect square trinomial (x+2)² = 0. Recognizing perfect square quadratics allows instant factoring and reveals repeated roots without computing the full quadratic formula.
Submitted by: PaperMCQs
106
Mathematics Hard

What is the inverse of the 2x2 matrix with rows [1 2] and [3 4]?

  • A[-2 1] and [1.5 -0.5]
  • B[4 -2] and [-3 1]
  • C[1 -2] and [-3 4]
  • DDoes not exist
Permalink
Correct Answer: Option A — [-2 1] and [1.5 -0.5]
Explanation: For matrix [[1 2][3 4]] det = 4-6 = -2. Inverse = (1/det)×[[d -b][-c a]] = (-1/2)×[[4 -2][-3 1]] = [[-2 1][1.5 -0.5]]. Matrix inversion is used in solving linear systems and transformations. It exists only when the determinant is non-zero and is tested in CSS PMS mathematical topics.
Submitted by: PaperMCQs
107
Mathematics Hard

What is the value of (2+3i)(2-3i)?

  • A4+9i
  • B4-9i
  • C13
  • D7
Permalink
Correct Answer: Option C — 13
Explanation: (2+3i)(2-3i) = 2²-(3i)² = 4-9i² = 4-9(-1) = 4+9 = 13. The product of a complex number and its conjugate always gives a real number equal to sum of squares of real and imaginary parts. This property is used to rationalize complex denominators when dividing complex numbers.
Submitted by: PaperMCQs
108
Mathematics Hard

In a class 60% passed math 70% passed English and 20% failed both. What % passed both?

  • A50%
  • B40%
  • C30%
  • D60%
Permalink
Correct Answer: Option A — 50%
Explanation: Eccentricity of a circle is 0. Eccentricity measures how much a conic deviates from being circular: circle e=0 ellipse 0<e<1 parabola e=1 and hyperbola e>1. Understanding all four conic sections and their properties including eccentricity foci directrix and standard equations is required for CSS PMS and engineering entrance examinations.
Submitted by: PaperMCQs
109
Mathematics Hard

A mixture of 40 liters has milk:water ratio 3:1. How much water to add for ratio 3:2?

  • A5 liters
  • B8 liters
  • C10 liters
  • D12 liters
Permalink
Correct Answer: Option C — 10 liters
Explanation: Milk = 30L water = 10L. New ratio 3:2 means water = (2/3)×30 = 20L. Add 20-10 = 10 liters. Mixture problems require identifying the invariant component (milk) and solving for the new amount of the variable component. Such alligation problems are extremely common in competitive exam quantitative aptitude.
Submitted by: PaperMCQs
110
Mathematics Hard

What is tan(A+B) equal to?

  • A(tan A + tan B)/(1 - tan A·tan B)
  • B(tan A - tan B)/(1 + tan A·tan B)
  • Ctan A × tan B
  • Dtan A + tan B
Permalink
Correct Answer: Option A — (tan A + tan B)/(1 - tan A·tan B)
Explanation: tan(A+B) = (tan A+tan B)/(1-tan A·tan B). This compound angle formula is derived from sin(A+B)/cos(A+B). Compound angle formulas for sin cos and tan are essential for solving equations and proving identities. They appear in CSS PMS and engineering entrance exams requiring higher trigonometric manipulation.
Submitted by: PaperMCQs
Other Exams
CSS MCQs PMS MCQs FPSC MCQs PPSC MCQs NTS MCQs
Mock Tests
Quick Test (20 Q) Full Mock (60 Q)