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Mathematics shortcuts for Railway exams

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Mathematics Shortcuts for Railway Exams: Crack RRB NTPC, Group D, ALP, and JE with Ease!

Are you an aspiring railway recruit looking to ace your mathematics section in the upcoming exams? Do you want to save time and boost your confidence while solving complex math problems? Look no further! In this blog post, we'll share some valuable mathematics shortcuts that will help you crack RRB NTPC, Group D, ALP, and JE exams with flying colors.

Understanding the Railway Exam Pattern

Before we dive into the shortcuts, it's essential to understand the railway exam pattern. The exams are designed to test your knowledge in various subjects, including mathematics. Familiarize yourself with the syllabus and exam pattern for each post you're applying for:

  • RRB NTPC: Quantitative Aptitude (Mathematics) is a crucial section in this exam.
  • RRB Group D: Mathematics forms a significant portion of the exam.
  • RRB ALP: Arithmetic and Mathematical calculations are essential for this exam.
  • RRB JE: Mathematics is a critical subject in this engineering-level exam.

Mathematics Shortcuts for Railway Exams

Now that you're familiar with the exam pattern, let's move on to some time-saving mathematics shortcuts:

1. BODMAS (Brackets, Orders, Division, Multiplication, Addition, and Subtraction)

BODMAS is a simple yet powerful technique to solve mathematical expressions. When solving complex equations, remember to follow this order of operations:

  • Brackets: Evaluate the expressions inside the brackets first.
  • Orders: Follow the orders of magnitude (exponents) next.
  • Division and Multiplication: Perform these operations from left to right.
  • Addition and Subtraction: Finally, perform these operations from left to right.

For example, in the expression 2 × 3 + 12 ÷ 4 - 5, follow BODMAS:

  1. Evaluate the orders of magnitude: 2^0 = 1
  2. Perform division and multiplication: (2 × 3) × 1 = 6
  3. Finally, perform addition and subtraction: 6 + 12 ÷ 4 = 9 - 5 = 4

2. Quick Multiplication Tricks

Don't let slow multiplication hold you back! Use these quick tricks to solve complex multiplications:

  • Multiply multiples of 10 by multiplying the numbers without the decimal point.
  • Use Vedic multiplication for fast calculations.

For example, multiply 45 × 67 using Vedic multiplication:

  1. Multiply 5 and 7: 35
  2. Multiply 4 and 6: 24
  3. Add both results: 59

3. Quick Calculation of Squares and Cube Roots

Solve square and cube roots quickly with these shortcuts:

  • Use the formula a^2 + b^2 = (a + b)^2 - 2ab for quick squaring.
  • Use the formula a × a × a = ∛(a^3) for quick cubing.

For example, find the square of 24 using the first formula:

  1. Break down the number: 20 + 4
  2. Square each part: (20)^2 + (4)^2 = 400 + 16 = 416

4. Simplifying Fractions

Reduce fractions quickly with these shortcuts:

  • Divide both numerator and denominator by their greatest common divisor (GCD).
  • Use the formula a/b = a ÷ b for quick simplification.

For example, simplify the fraction 6/8 using the first method:

  1. Find the GCD of 6 and 8: 2
  2. Divide both numbers by 2: 3/4

5. Understanding Trigonometry

Master trigonometry with these essential formulas and identities:

  • Pythagoras' theorem: a^2 + b^2 = c^2
  • Sine, cosine, and tangent formulas: sin(a) = opposite/hypotenuse, cos(a) = adjacent/hypotenuse, tan(a) = opposite/adjacent

6. Formulas for Quick Calculation

Don't forget these essential formulas for quick calculations:

  • 1^2 + 2^2 + ... + n^2 = (n × (n + 1) × (2n + 1))/6
  • 1^3 + 2^3 + ... + n^3 = (n^2 × (n+1)^2)/4

Study Schedule Suggestion

Create a study schedule that works for you:

  • Allocate dedicated time for each subject.
  • Prioritize topics based on the exam pattern and your strengths/weaknesses.
  • Practice consistently, using JobSafal.com as a recommended resource.

Motivation and Conclusion

Cracking the railway exams requires dedication, perseverance, and practice. By mastering these mathematics shortcuts and following our study schedule suggestion, you'll be well-prepared to ace your exams. Stay motivated, and don't hesitate to reach out for help when needed. You've got this!

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