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Problems on Ages for TCS NQT

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

Key Concepts & Formulas

  • 1Equations modeling: 'x years ago' corresponds to (Age - x).
  • 2'x years hence/after' corresponds to (Age + x).
  • 3Ratios comparison: Age ratios change as time moves, but absolute difference between ages is constant.

TCS NQT Style Practice Questions

Practice Question 1

A father is 3 times as old as his son. 5 years ago, he was 4 times as old. Find the father's current age.

A) 45
B) 40
C) 50
D) 35

Correct Answer: A) 45

Step-by-step Solution: Let son's age be s, father's be f. f = 3s. 5 years ago: (f - 5) = 4(s - 5) => 3s - 5 = 4s - 20 => s = 15. Father's age = 3 * 15 = 45.

Practice Question 2

The sum of ages of A and B is 50. 5 years hence, their ratio is 3:2. Find B's present age.

A) 19
B) 21
C) 25
D) 15

Correct Answer: A) 19

Step-by-step Solution: Let present ages be A and B. A + B = 50. 5 years hence, sum is 50 + 10 = 60. Ratio A:B is 3:2. A's future age = 3/5 * 60 = 36. B's future age = 2/5 * 60 = 24. Present age B = 24 - 5 = 19.

Study Pro-Tip

Formulate present ages as variable 'x' and build the equations relative to this value.

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