Cracking Indian **competitive exams** is a dream for many, One of the most obvious hurdles that students often face can be the tough **numerical aptitude questions.** But fear not, with dedication and the right approach, you can get a high score in this section. This article lists 30+ multiple-choice numerical aptitude questions for practice so that you may get high scores in the exams. We understand that the vast syllabus and diverse question types can be overwhelming. But worry not, we’ll break it down into manageable chunks, covering all the important topics first.

## Tips and Tricks to Solve Numerical Aptitude Questions

We have listed certain tips and tricks to Identify the question type (percent, ratio, etc.). Your first step is to break down the question and estimate an answer to rule out some options that don’t go well with the question. Backsolving with answer choices can save time. Read the following tips and tricks to solve numerical aptitude questions easily::

**Master the Basics:**Sharpen your skills with addition, subtraction, multiplication, and division.**Practice Makes Perfect:**Solve many practice problems to build speed and accuracy.**Focus on the Relevant:**Read questions carefully and identify the important information to solve them.**Befriend Estimation:**Estimate answers to check your calculations and save time.**Identify Shortcuts:**Learn time-saving tricks like percentages of 100 or quick fraction conversion etc.

## Practice 30+ Numerical Aptitude Questions

- What is the sum of the solutions of the equation x² – 5x + 6 = 0?

a) 3

b) 4

c) 5

d) 6

**Answer: c) 5**

- If a triangle has sides of lengths 10 cm, 15 cm, and 20 cm, what type of triangle is it?

a) Scalene

b) Isosceles

c) Equilateral

d) Right-angled

**Answer: d) Right-angled**

- What is the value of tan(π/4)?

a) 0

b) 1

c) √2

d) Undefined

**Answer: b) 1**

- If log(x) – log(3) = log(5), what is the value of x?

a) 3

b) 5

c) 8

d) 15

**Answer: d) 15**

- Solve: e^(2x) = 7

a) x = ln(7)

b) x = ln(3.5)

c) x = ln(2.5)

d) x = ln(2)

**Answer: a) x = ln(7)**

- What is the result of √(12^2 + 16^2)?

a) 20

b) 25

c) 28

d) 30

**Answer: c) 28**

- If a train travels at a speed of 120 km/h for 2.5 hours, how far does it travel?

a) 250 km

b) 300 km

c) 325 km

d) 350 km

**Answer: b) 300 km**

- Solve: 2^(3x – 1) = 64

a) x = 1

b) x = 2

c) x = 3

d) x = 4

**Answer: b) x = 2**

- What is the volume of a cylinder with a radius of 5 cm and a height of 10 cm?

a) 100π cm³

b) 125π cm³

c) 150π cm³

d) 200π cm³

**Answer: c) 150π cm³**

- If the principal amount is Rs. 5000, the interest rate is 8%, and the time period is 2 years, what is the compound interest?

a) Rs. 800

b) Rs. 820

c) Rs. 840

d) Rs. 860

**Answer: b) Rs. 820**

- Solve: log₂(x + 5) = 3

a) x = 8

b) x = 10

c) x = 13

d) x = 16

**Answer: a) x = 8**

- What is the sum of the first 20 terms of the arithmetic progression 3, 7, 11, …?

a) 440

b) 450

c) 460

d) 470

**Answer: b) 450**

- If sin θ = 3/5 and cos φ = 5/13, what is sin(θ + φ)?

a) 56/65

b) 57/65

c) 58/65

d) 59/65

**Answer: c) 58/65**

- If the perimeter of a rectangle is 40 cm and its length is 3 times its width, what is the area of the rectangle?

a) 60 cm²

b) 70 cm²

c) 80 cm²

d) 90 cm²

**Answer: a) 60 cm²**

- What is the value of (2 + i) * (3 – 2i), where i is the imaginary unit?

a) 4 + 7i

b) 5 – 4i

c) 6 – i

d) 7 + 2i

**Answer: d) 7 + 2i**

- If f(x) = 2x^3 – 5x^2 + 3x – 7, what is f'(x)?

a) 6x^2 – 10x + 3

b) 6x^2 – 10x + 7

c) 6x^2 – 5x + 3

d) 6x^2 – 5x + 7

**Answer: b) 6x^2 – 10x + 7**

- What is the value of ∫(2x + 3) dx from x = 1 to x = 4?

a) 19

b) 21

c) 23

d) 25

**Answer: c) 23**

- Solve: 2^(x – 3) = 8^(x + 1)

a) x = 1

b) x = 2

c) x = 3

d) x = 4

**Answer: d) x = 4**

- If a coin is flipped 5 times, what is the probability of getting exactly 3 heads?

a) 1/8

b) 5/16

c) 3/8

d) 5/8

**Answer: b) 5/16**

- What is the value of cos(π/3)?

a) 1/2

b) √3/2

c) √2/2

d) 1/√2

**Answer: b) √3/2**

- If the roots of the quadratic equation x² – 5x + k = 0 are equal, what is the value of k?

a) 4

b) 5

c) 6

d) 7

**Answer: c) 6**

- Solve: ∫(2sinx + 3cosx) dx from x = 0 to x = π/2

a) 2

b) 3

c) 4

d) 5

**Answer: d) 5**

- What is the coefficient of x² in the expansion of (3x – 2)^4?

a) -16

b) -32

c) 16

d) 32

**Answer: c) 16**

- If a circle has a radius of 10 cm and is inscribed in a square, what is the area of the square?

a) 100 cm²

b) 200 cm²

c) 300 cm²

d) 400 cm²

**Answer: d) 400 cm²**

- The population of a city increases by 5% annually. If the population is 100,000 now, what will it be after 3 years?

a) 115,762

b) 116,155

c) 116,550

d) 116,955

**Answer: c) 116,550**

- Solve: 5 log(x) = 10

a) x = 10

b) x = 20

c) x = 100

d) x = 1000

**Answer: c) x = 100**

- The nth term of an arithmetic progression is given by tn = 3n – 1. What is the sum of the first 10 terms?

a) 145

b) 150

c) 155

d) 160

**Answer: b) 150**

- If a cube has a volume of 512 cm³, what is the length of one edge?

a) 6 cm

b) 7 cm

c) 8 cm

d) 9 cm

**Answer: c) 8 cm**

- What is the remainder when 17^23 is divided by 7?

a) 1

b) 2

c) 3

d) 4

**Answer: c) 3**

- If log₃(x) = 4, what is x?

a) 64

b) 81

c) 256

d) 729

**Answer: b) 81**

29. The nth term of an arithmetic progression is given by tn = 3n – 1. What is the sum of the first 10 terms?

a) 145

b) 150

c) 155

d) 160

**Answer: b) 150**

30. If a cube has a volume of 512 cm³, what is the length of one edge?

a) 6 cm

b) 7 cm

c) 8 cm

d) 9 cm **Answer: c) 8 cm**

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## FAQs

**How do you solve aptitude questions on permutation and combination?**Understand the problem, identify if it’s a permutation or combination problem, apply relevant formulas, and ensure clarity in counting elements.

**What are aptitude questions on permutation and combination in competitive exams?**Permutation involves arranging elements in a particular order, while combination involves selecting elements without considering the order. Both are frequently tested in competitive exams to assess quantitative aptitude skills.

**What is permutation and combination in quants?**In quantitative aptitude, permutation refers to arrangements where the order matters, while combination refers to selections where the order doesn’t matter. They’re important for solving problems involving arrangements and selections.

**What are aptitude questions on permutation and combination?**Permutation questions involve arranging elements in different orders, while combination questions involve selecting elements without regard to order. Both types of questions are common in quantitative aptitude assessments.

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