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NTS MCQs

National Testing Service — Complete MCQ Bank

61 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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41
Mathematics Easy

What is 0.25 expressed as a fraction in simplest form?

  • A1/2
  • B1/4
  • C1/5
  • D2/5
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Correct Answer: Option B — 1/4
Explanation: 0.25 = 25/100 = 1/4 after dividing by 25. Converting between decimals fractions and percentages is fundamental: 0.25 = 1/4 = 25% are equivalent forms. Such conversions appear extensively in competitive exam arithmetic ratio and percentage questions and must be performed quickly and accurately.
Submitted by: PaperMCQs
42
Mathematics Easy

What is the sum of first 10 natural numbers?

  • A45
  • B50
  • C55
  • D60
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Correct Answer: Option C — 55
Explanation: Sum of first n natural numbers = n(n+1)/2. For n=10: 10×11/2 = 55. This formula was famously demonstrated by Gauss. The formulas for sum of natural numbers squares and cubes are essential tools frequently tested in competitive exam questions on arithmetic series and progression problems.
Submitted by: PaperMCQs
43
Mathematics Easy

The ratio of boys to girls is 3:2. If there are 30 students how many are girls?

  • A10
  • B12
  • C14
  • D16
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Correct Answer: Option B — 12
Explanation: Total ratio parts = 3+2 = 5. Girls = (2/5)×30 = 12. Ratio and proportion problems are extensively tested. They require dividing quantities according to ratios and appear in problems about mixtures alloys speed partnership and map scales. Always identify the correct ratio part for the quantity being sought.
Submitted by: PaperMCQs
44
Mathematics Easy

What is the next term in the sequence 2 6 18 54?

  • A108
  • B162
  • C216
  • D324
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Correct Answer: Option B — 162
Explanation: Each term multiplies by 3: 2×3=6 6×3=18 18×3=54 54×3=162. This is a geometric progression with common ratio 3. Identifying patterns in number sequences whether arithmetic geometric or mixed is a common question type in aptitude tests requiring pattern recognition and quick analytical thinking skills.
Submitted by: PaperMCQs
45
Mathematics Easy

A number is divisible by 9 if?

  • AThe last digit is 9
  • BThe sum of digits is divisible by 9
  • CIt ends in 0 or 9
  • DIt is divisible by 3 only
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Correct Answer: Option B — The sum of digits is divisible by 9
Explanation: A number is divisible by 9 when the sum of all its digits is divisible by 9. For example 729: 7+2+9=18 which is divisible by 9. Divisibility rules for 2 3 4 5 6 7 8 9 10 and 11 are important shortcuts saving significant time in competitive exam arithmetic and number theory questions.
Submitted by: PaperMCQs
46
Mathematics Easy

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

  • A154 cm²
  • B144 cm²
  • C164 cm²
  • D174 cm²
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Correct Answer: Option A — 154 cm²
Explanation: Area = π × r² = (22/7) × 7 × 7 = 22 × 7 = 154 cm². Using π = 22/7 is standard in competitive exams for ease of calculation. Circle area formulas are applied in problems involving fields circular tracks rings and cross-sections of cylindrical or spherical objects.
Submitted by: PaperMCQs
47
Mathematics Easy

A shopkeeper buys an item for Rs 200 and sells it for Rs 250. What is the profit percentage?

  • A20%
  • B25%
  • C30%
  • D35%
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Correct Answer: Option B — 25%
Explanation: Profit = 250 - 200 = Rs 50. Profit percentage = (50 ÷ 200) × 100 = 25%. Profit and loss percentage calculations are heavily tested in competitive exams. A key distinction is that profit percentage is always calculated on cost price unless stated otherwise which is a common source of error.
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48
Mathematics Easy

What is the HCF of 12 and 18?

  • A4
  • B6
  • C9
  • D12
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Correct Answer: Option B — 6
Explanation: The Highest Common Factor of 12 and 18 is 6. Factors of 12 are 1 2 3 4 6 12 and factors of 18 are 1 2 3 6 9 18. The largest common factor is 6. HCF is used in simplifying fractions dividing groups equally and solving problems involving equal distribution without a remainder.
Submitted by: PaperMCQs
49
Mathematics Easy

If a train travels 120 km in 2 hours what is its speed?

  • A50 km/h
  • B60 km/h
  • C70 km/h
  • D80 km/h
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Correct Answer: Option B — 60 km/h
Explanation: Speed equals distance divided by time: 120 ÷ 2 = 60 km/h. The speed-distance-time relationship is one of the most tested topics in competitive exams. Problems often require finding any one variable when the other two are given including problems involving relative speed average speed and time calculations.
Submitted by: PaperMCQs
50
Mathematics Easy

What is the perimeter of a rectangle with length 8 cm and width 5 cm?

  • A26 cm
  • B28 cm
  • C30 cm
  • D32 cm
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Correct Answer: Option A — 26 cm
Explanation: Perimeter of rectangle = 2×(length + width) = 2×(8+5) = 2×13 = 26 cm. Perimeter measures total boundary length. Rectangle perimeter formulas are used in fencing construction and measurement problems and appear regularly in entry-level competitive exam geometry sections alongside area and diagonal calculations.
Submitted by: PaperMCQs
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