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TCS NQT GuideTCS NQT Numerical AbilityDecimal Fractions and Simplification Shortcuts

Decimal Fractions and Simplification Shortcuts

Learn core concepts, essential formulas, and attempt practice questions designed on the latest TCS NQT testing patterns.

Key Concepts & Formulas

  • 1BODMAS Rule: Bracket, Of, Division, Multiplication, Addition, Subtraction.
  • 2Converting recurring decimals: 0.bar(3) = 3/9 = 1/3.
  • 3Algebraic shortcuts: a^2 - b^2 = (a-b)(a+b).
  • 4Algebraic cubes: a^3 + b^3 = (a+b)(a^2 - ab + b^2).

TCS NQT Style Practice Questions

Practice Question 1

Evaluate: (0.35 * 0.35 - 0.25 * 0.25) / 0.10.

A) 0.60
B) 0.10
C) 0.50
D) 1.20

Correct Answer: A) 0.60

Step-by-step Solution: This is of the form (a^2 - b^2) / (a-b) where a=0.35 and b=0.25. (a^2 - b^2)/(a-b) = a+b = 0.35 + 0.25 = 0.60.

Practice Question 2

Simplify: 12 + 6 / 3 - 2 * 4.

A) 6
B) 16
C) -1
D) 8

Correct Answer: A) 6

Step-by-step Solution: By BODMAS, division first: 6/3 = 2. Then multiplication: 2*4 = 8. Now we have 12 + 2 - 8 = 14 - 8 = 6.

Study Pro-Tip

Look for algebraic patterns like difference of squares to bypass heavy decimal calculations.

Back to TCS NQT Numerical Ability Master Guide
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