Join WhatsApp ChannelDaily MCQs & Exam Updates

NTS MCQs

National Testing Service — Complete MCQ Bank

1,081 Questions
Exam Preparation Guide

How to prepare for NTS

NTS tests evaluate aptitude, analytical reasoning, quantitative ability, English and subject knowledge for admissions, scholarships and recruitment.

EnglishQuantitative SkillsAnalytical ReasoningSubject Knowledge
Practice under a timer and review weak areas after every test to improve both speed and accuracy.
Start PracticingTake a Mock Test
NTS preparation illustration
All Subjects Biology Chemistry Computer Science Current Affairs English Everyday Science General Knowledge Islamic Studies Mathematics Pakistan Studies Physics
751
Mathematics Medium

What is the surface area of a sphere with radius 7 cm using π = 22/7?

  • A616 cm²
  • B600 cm²
  • C588 cm²
  • D624 cm²
Permalink
Correct Answer: Option A — 616 cm²
Explanation: Surface area = 4πr² = 4 × (22/7) × 49 = 4 × 22 × 7 = 616 cm². Sphere formulas for both surface area and volume (4/3)πr³ are standard geometry questions. Understanding which formula to apply and correctly substituting values including the radius is the key challenge in competitive exam geometry problems.
Submitted by: PaperMCQs
752
Mathematics Medium

Two dice are rolled. What is the probability of getting a sum of 7?

  • A1/6
  • B5/36
  • C6/36
  • D7/36
Permalink
Correct Answer: Option C — 6/36
Explanation: Total outcomes = 36. Pairs giving sum 7: (1+6 2+5 3+4 4+3 5+2 6+1) = 6 pairs. Probability = 6/36 = 1/6. Dice probability requires careful enumeration of favorable outcomes from the total sample space. Such problems test systematic counting skills and are extremely common in competitive exam probability sections.
Submitted by: PaperMCQs
753
Mathematics Medium

If sin θ = 3/5 what is cos θ for an acute angle?

  • A3/4
  • B4/5
  • C5/3
  • D3/5
Permalink
Correct Answer: Option B — 4/5
Explanation: Using Pythagorean theorem: opposite=3 hypotenuse=5 so adjacent = √(25-9) = 4. cos θ = 4/5. The 3-4-5 triple is the most used in trigonometry problems. Finding one trigonometric ratio from another using the Pythagorean identity is a standard and frequently tested competitive exam skill.
Submitted by: PaperMCQs
754
Mathematics Medium

What is 40% of three-quarters of 200?

  • A45
  • B50
  • C55
  • D60
Permalink
Correct Answer: Option D — 60
Explanation: 3/4 of 200 = 150. 40% of 150 = 0.4×150 = 60. Multi-step percentage problems require sequential operations. Always complete the inner fraction first then apply the percentage. These chained calculations appear throughout competitive exams in discount problems population calculations and data interpretation questions.
Submitted by: PaperMCQs
755
Mathematics Medium

A and B together do a job in 12 days. A alone takes 18 days. How long does B take alone?

  • A36 days
  • B30 days
  • C28 days
  • D24 days
Permalink
Correct Answer: Option A — 36 days
Explanation: B's rate = 1/12 - 1/18 = 3/36 - 2/36 = 1/36. B alone takes 36 days. This work problem requires subtracting individual rates from combined rates. Mastery of work-rate subtraction is essential as such problems appear in almost every competitive exam quantitative aptitude section often in more complex multi-worker forms.
Submitted by: PaperMCQs
756
Mathematics Medium

What is the sum of arithmetic series: first term 1 last term 100 with 100 terms?

  • A5050
  • B4950
  • C5000
  • D5100
Permalink
Correct Answer: Option A — 5050
Explanation: Sum = n/2 × (first + last) = 100/2 × (1+100) = 50×101 = 5050. This famous result was demonstrated by Gauss. Arithmetic series formulas are fundamental for sequences and series questions and appear in problems involving salary increments equal installments and staircase patterns in competitive exams.
Submitted by: PaperMCQs
757
Mathematics Medium

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

  • A1
  • B4
  • C5
  • D6
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
758
Mathematics Medium

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

  • A1
  • B2
  • C3
  • D4
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
759
Mathematics Medium

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

  • A1/4
  • B1/2
  • C2
  • D4
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
760
Mathematics Medium

A pipe fills a tank in 6 hours another empties it in 8 hours. Both open: how long to fill?

  • A24 hours
  • B20 hours
  • C18 hours
  • D16 hours
Permalink
Correct Answer: Option A — 24 hours
Explanation: Net fill rate = 1/6 - 1/8 = 4/24 - 3/24 = 1/24 per hour. Time = 24 hours. Pipes and cisterns problems use the same framework as work problems where filling pipes add rates and draining pipes subtract rates. Combining rates correctly is the key skill tested in these extremely common aptitude questions.
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)