Join WhatsApp ChannelDaily MCQs & Exam Updates

Mathematics MCQs

MCQs on Algebra, Calculus, Statistics and Geometry

27 Questions

Subject Preparation Guide

Prepare Mathematics with confidence

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

ArithmeticAlgebraGeometryPercentages and Ratios

Helpful for academic exams, aptitude tests, NTS and quantitative competitive papers.

Filter: All Exams css pms fpsc ppsc nts | All Easy Medium Hard

Medium css fpsc ppsc nts

What is the discriminant of x² - 5x + 6 = 0?

Permalink

Correct Answer: Option A — 1

Explanation: Discriminant D = b²-4ac = (-5)²-4(1)(6) = 25-24 = 1. Since D > 0 there are two distinct real roots. The discriminant determines nature of roots: D>0 (two real roots) D=0 (one repeated root) D<0 (complex roots). This concept is fundamental in quadratic equations tested across all competitive exam levels.

Submitted by: PaperMCQs

Medium css fpsc ppsc nts

The slope of a line through points (2 3) and (4 7) is?

Permalink

Correct Answer: Option B — 2

Explanation: Slope = (y₂-y₁)/(x₂-x₁) = (7-3)/(4-2) = 4/2 = 2. The slope formula measures the steepness and direction of a line. Positive slope rises left to right. Slope is fundamental in coordinate geometry forming the basis for line equations parallel lines perpendicular lines and linear modeling.

Submitted by: PaperMCQs

Medium css fpsc ppsc

How many ways can 4 people be arranged in a line?

A 16
B 24
C 32
D 48

Permalink

Correct Answer: Option B — 24

Explanation: Arrangements of 4 distinct objects in a line = 4! = 4×3×2×1 = 24. Permutations apply when order matters while combinations apply when it does not. This fundamental counting principle appears in probability seating arrangement and scheduling problems throughout competitive exam quantitative aptitude sections.

Submitted by: PaperMCQs

Medium css fpsc ppsc nts

What is the value of (1/2) raised to the power of negative 2?

A 1/4
B 1/2
C 2
D 4

Permalink

Correct Answer: Option D — 4

Explanation: (1/2)^(-2) = 2² = 4. A negative exponent means taking the reciprocal: (a/b)^(-n) = (b/a)^n. Negative and fractional exponents frequently appear in competitive exam algebra. Understanding this rule prevents errors and enables simplification of complex exponential expressions in higher-level mathematics questions.

Submitted by: PaperMCQs

Medium css fpsc ppsc

If P(A)=0.4 and P(B)=0.3 and events are mutually exclusive what is P(A or B)?

A 0.12
B 0.58
C 0.70
D 0.82

Permalink

Correct Answer: Option C — 0.70

Explanation: For mutually exclusive events P(A or B) = P(A)+P(B) = 0.4+0.3 = 0.7. Mutually exclusive events cannot occur simultaneously. The addition rule for mutually exclusive events simply adds probabilities. For non-mutually exclusive events we must subtract P(A and B) to avoid double counting.

Submitted by: PaperMCQs

Medium css fpsc ppsc

What is the value of log base 10 of 1000?

Permalink

Correct Answer: Option B — 3

Explanation: 3! = 3 × 2 × 1 = 6. Factorial of n is the product of all positive integers from 1 to n. Factorials are fundamental in permutations combinations probability calculations and the binomial theorem. Key values to memorize include 0!=1 1!=1 2!=2 3!=6 4!=24 5!=120 and 6!=720 for fast competitive exam solutions.

Submitted by: PaperMCQs

Medium css fpsc ppsc nts

Simplify: (a² - b²) divided by (a - b)

A a + b
B a - b
C a² + b²
D ab

Permalink

Correct Answer: Option A — a + b

Explanation: a² - b² factors as (a+b)(a-b) using the difference of squares identity. Dividing by (a-b) cancels that factor leaving (a+b). Recognizing algebraic identities including difference of squares perfect square trinomials and sum or difference of cubes is essential for quickly simplifying expressions in competitive exam algebra sections.

Submitted by: PaperMCQs

Mathematics MCQs

Prepare Mathematics with confidence

All Subjects

Academic Subjects

Mock Tests