Multiple choice

Directions: The following question consists of two quantities, Quantity I and Quantity II. You are to compare the two quantities and find the correct relationship between both the quantities. Present ages of Ram and Ghanshyam differ by 16 years. 6 years ago, Ram was 3 times as old as Ghanshyam. Quantity I: Present age of Ghanshyam Quantity II: 16 years

  1. Quantity I > Quantity II

  2. Qantity I < Quantity II

  3. Quantity I ≥ Quantity II

  4. Quantity I ≤ Quantity II

  5. Quantity I = Quantity II, or No relation
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let R and G be present ages. R - G = 16. Six years ago: (R-6) = 3(G-6). Substituting R = G + 16: (G+16-6) = 3G - 18, so G+10 = 3G - 18, 2G = 28, G = 14. Quantity I is 14, Quantity II is 16. Thus, I < II.

AI explanation

Let Ghanshyam's present age be G years, which means Ram's present age is (G + 16) years. Six years ago, Ram was (G + 10) years old and Ghanshyam was (G - 6) years old, giving the equation G + 10 = 3(G - 6). Solving this yields G + 10 = 3G - 18, which simplifies to 2G = 28 and gives G = 14. Since Quantity I is 14 years and Quantity II is 16 years, Quantity I is less than Quantity II.

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