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TCS NQT GuideTCS NQT Numerical AbilityRatio and Proportion Core Concepts & Practice Problems

Ratio and Proportion Core Concepts & Practice Problems

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

Key Concepts & Formulas

  • 1Ratio: Comparison of two quantities a:b = a/b.
  • 2If a/b = c/d, then ad = bc (Proportion).
  • 3Third Proportional of a and b is c, where b^2 = ac => c = b^2/a.
  • 4Mean Proportional of a and b is sqrt(ab).
  • 5Duplicate Ratio of a:b is a^2:b^2.

TCS NQT Style Practice Questions

Practice Question 1

If A:B = 2:3 and B:C = 4:5, find A:B:C.

A) 8:12:15
B) 2:4:5
C) 8:10:15
D) 4:6:15

Correct Answer: A) 8:12:15

Step-by-step Solution: Multiply A:B by 4: A:B = 8:12. Multiply B:C by 3: B:C = 12:15. Since B is 12 in both, A:B:C = 8:12:15.

Practice Question 2

Find the mean proportional of 9 and 16.

A) 12
B) 12.5
C) 14
D) 10

Correct Answer: A) 12

Step-by-step Solution: Mean Proportional = sqrt(a * b) = sqrt(9 * 16) = sqrt(144) = 12.

Study Pro-Tip

Equalize the connecting variable (B in A:B and B:C) by taking the LCM of its ratios.

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