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NTS MCQs

National Testing Service — Complete MCQ Bank

1,081 Questions
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How to prepare for NTS

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

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741
Mathematics Medium

What is the nth term of arithmetic sequence 3 7 11 15?

  • A4n-1
  • B4n+1
  • C3n+1
  • D2n+3
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Correct Answer: Option A — 4n-1
Explanation: First term a=3 common difference d=4. nth term = a+(n-1)d = 3+4(n-1) = 4n-1. Verification: n=1→3 n=2→7 n=3→11 confirms correctness. Finding nth term formulas for arithmetic sequences is essential for sequences and series questions in competitive exams and is also used in salary progression and installment problems.
Submitted by: PaperMCQs
742
Mathematics Medium

The price after 20% discount is Rs 400. What was the original price?

  • ARs 480
  • BRs 500
  • CRs 520
  • DRs 540
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Correct Answer: Option B — Rs 500
Explanation: 0.8P = 400 → P = 500. Finding the original price before discount requires dividing by (1 - discount rate). Adding 20% to 400 gives the wrong answer. This is a common trap in competitive exams. Always divide by the remaining percentage fraction to find the original pre-discount price.
Submitted by: PaperMCQs
743
Mathematics Medium

What is the sum of interior angles of a hexagon?

  • A540°
  • B720°
  • C900°
  • D1080°
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Correct Answer: Option B — 720°
Explanation: Sum of interior angles = (n-2)×180°. For hexagon n=6: (6-2)×180° = 4×180° = 720°. This formula applies to all convex polygons. Each interior angle of a regular hexagon = 720°/6 = 120°. Polygon angle formulas are standard geometry topics in competitive exams at all levels.
Submitted by: PaperMCQs
744
Mathematics Medium

If the radius of a circle is doubled what happens to its area?

  • ADoubles
  • BTriples
  • CQuadruples
  • DRemains same
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Correct Answer: Option C — Quadruples
Explanation: Area = πr². If radius becomes 2r: new area = π(2r)² = 4πr² which is 4 times the original. When linear dimensions scale by factor k areas scale by k² and volumes by k³. This scaling relationship is tested in geometry problems involving similar figures and scale models in competitive exams.
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745
Mathematics Medium

A sum doubles itself in 8 years at simple interest. What is the rate?

  • A10%
  • B12.5%
  • C15%
  • D20%
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Correct Answer: Option B — 12.5%
Explanation: If principal = P then SI = P (since it doubles). SI = P×R×8/100 → P = P×R×8/100 → R = 100/8 = 12.5%. When money doubles at simple interest Rate = 100/Time. This relationship is a frequently tested shortcut in competitive exam problems about doubling or tripling periods.
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746
Mathematics Medium

Find the roots of x² - 5x + 6 = 0

  • Ax=1 and x=6
  • Bx=2 and x=3
  • Cx=3 and x=4
  • Dx=2 and x=4
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Correct Answer: Option B — x=2 and x=3
Explanation: Factoring: find two numbers multiplying to 6 and adding to -5 which are -2 and -3. So (x-2)(x-3) = 0 giving x=2 and x=3. Factoring is the fastest method when roots are rational integers. When factoring fails the quadratic formula provides a reliable universal method for finding roots.
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747
Mathematics Medium

A clock shows 3:00. What is the angle between the hour and minute hands?

  • A45°
  • B60°
  • C90°
  • D120°
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Correct Answer: Option C — 90°
Explanation: At 3:00 the minute hand is at 12 (0°) and the hour hand is at 3 (3×30°=90°). Angle = 90°. Each hour mark represents 30° and each minute represents 6°. Clock angle problems are popular in competitive aptitude tests requiring knowledge of how both hands move relative to each other.
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748
Mathematics Medium

If 2 to the power x equals 64 what is x?

  • A5
  • B6
  • C7
  • D8
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Correct Answer: Option B — 6
Explanation: 64 = 2⁶ so x = 6. When bases are equal the exponents must be equal. Recognizing powers of common bases (2 3 5 10) enables quick solutions. Such exponential equations appear in algebra sections of competitive exams requiring rapid mental identification of the correct power.
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749
Mathematics Medium

What is 30% of 40% of 500?

  • A50
  • B60
  • C70
  • D80
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Correct Answer: Option B — 60
Explanation: 40% of 500 = 200. 30% of 200 = 60. Successive percentages require applying one percentage to the result of another. This type appears in successive discount problems population growth and data interpretation. Never add the percentages directly as 70% of 500 gives the wrong answer of 350.
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750
Mathematics Medium

The average of 5 consecutive even numbers is 20. What is the largest number?

  • A22
  • B24
  • C26
  • D28
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Correct Answer: Option B — 24
Explanation: Consecutive even numbers: n n+2 n+4 n+6 n+8. Average = n+4 = 20 so n=16. Largest = 16+8 = 24. Consecutive number problems are common in competitive exams. Setting up the correct algebraic representation and using the average formula is the standard approach for solving such sequence problems efficiently.
Submitted by: PaperMCQs
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