Multiple choice

In the following questions, two equations Quantity I and Quantity II are given. You have to solve both the equations and give answer. Quantity I: The ratio of ages of two friends P and Q is 5:7 and the ratio of age of P before 4 year and the age of Q after 10 year is 1:2,then find the present age of P? Quantity II: The ratio of age the present age of P and Q is 5:8 and the ratio of their ages will become 2:3 after 7 year, then find present age of P?

  1. Quantity I > Quantity II

  2. Quantity I ≥ Quantity II

  3. Quantity I < Quantity II

  4. Quantity I ≤ Quantity II

  5. Quantity I = Quantity II or the relation cannot be established
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

For Quantity I: Let P=5x, Q=7x. Given (P-4)/(Q+10)=1/2, substituting gives (5x-4)/(7x+10)=1/2. Solving: 10x-8=7x+10, so x=6 and P=30. For Quantity II: Let P=5y, Q=8y. Given (P+7)/(Q+7)=2/3, substituting gives (5y+7)/(8y+7)=2/3. Solving: 15y+21=16y+14, so y=7 and P=35. Since 30 < 35, Quantity I is less than Quantity II.

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