TomoLink
TCS NQT GuideTCS NQT Numerical AbilityRational and Irrational Numbers Practice Set

Rational and Irrational Numbers Practice Set

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

Key Concepts & Formulas

  • 1Rational Numbers: Can be written as p/q where q != 0 (terminating or recurring decimal).
  • 2Irrational Numbers: Cannot be written as p/q (non-terminating, non-recurring decimals like sqrt(2), pi).
  • 3Sum or product of rational and irrational is always irrational.

TCS NQT Style Practice Questions

Practice Question 1

Which of the following is an irrational number?

A) sqrt(9)
B) 0.333...
C) sqrt(5)
D) 22/7

Correct Answer: C) sqrt(5)

Step-by-step Solution: sqrt(9) = 3 (rational), 0.333... = 1/3 (rational), 22/7 is rational. sqrt(5) cannot be simplified to an integer or fraction, so it is irrational.

Practice Question 2

The value of pi is:

A) Rational
B) Irrational
C) Integer
D) Prime

Correct Answer: B) Irrational

Step-by-step Solution: Although approximated as 22/7, the actual decimal expansion of pi never terminates or repeats, making it irrational.

Study Pro-Tip

Do not confuse approximations like 22/7 (rational) with the actual irrational constant value.

Back to TCS NQT Numerical Ability Master Guide
PreviousNext