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Mathematics MCQs

MCQs on Algebra, Calculus, Statistics and Geometry

3 Questions

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Prepare Mathematics with confidence

Develop speed and accuracy in arithmetic, algebra, geometry, percentages, ratios and other quantitative concepts.

ArithmeticAlgebraGeometryPercentages and Ratios

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Medium css pms fpsc

What is the value of i² where i is the imaginary unit?

A 1
B -1
C i
D -i

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Correct Answer: Option B — -1

Explanation: The imaginary unit i is defined as √(-1) so i² = -1. Powers of i cycle every four: i¹=i i²=-1 i³=-i i⁴=1. Complex numbers extend the real number system to solve equations like x²+1=0. They appear in higher mathematics physics and engineering topics tested in advanced competitive exams.

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Medium css pms fpsc

What is the derivative of x³ with respect to x?

A x²
B 3x
C 3x²
D 2x³

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Correct Answer: Option C — 3x²

Explanation: Derivative of xⁿ = nxⁿ⁻¹ (power rule). For x³: derivative = 3x². Differentiation measures the instantaneous rate of change of a function. The power rule is the most fundamental differentiation rule forming the starting point for all calculus problems in CSS PMS and higher competitive examinations.

Submitted by: PaperMCQs

Medium css pms fpsc

Evaluate the integral of x dx from 0 to 4

A 8
B 10
C 12
D 16

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Correct Answer: Option A — 8

Explanation: ∫x dx = x²/2. Evaluated from 0 to 4: (4²/2) - (0²/2) = 8 - 0 = 8. Definite integration computes the area under a curve between two limits. The power rule for integration states ∫xⁿdx = xⁿ⁺¹/(n+1). Basic integration is tested in CSS PMS and higher-level competitive exams.

Submitted by: PaperMCQs

Mathematics MCQs

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