Multiple choice

Directions: Given below are two quantities named I and II. Based on the given information, you have to determine the relation between the two quantities. You are to use the given data and your knowledge of Mathematics to choose among the given options. Quantity I: Anjali can complete a task in 50 days and Pallavi is 30% more efficient than her. Number of days taken by Pallavi to finish the task Quantity II: A task is completed by 18 girls and 24 boys in 12 days. Number of days taken by 6 girls and 8 boys to complete the task

  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 No relation
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Quantity I: Anjali = 50 days. Pallavi is 30% more efficient, so she takes 50/1.3 = 38.46 days. Quantity II: 18 girls + 24 boys = 12 days. 6 girls + 8 boys is exactly 1/3 of the workforce, so they take 12 * 3 = 36 days. Since 38.46 > 36, Quantity I > Quantity II.

AI explanation

For Quantity I, Pallavi is 30 percent more efficient than Anjali, meaning she takes 50 / 1.3 = 500/13 days, which is about 38.46 days. For Quantity II, using the formula (m1 * d1) = (m2 * d2), 18 girls and 24 boys in 12 days equates to 6 girls and 8 boys in (18 * 24 * 12) / (6 * 8) = 36 days. Comparing the two values, 38.46 is greater than 36 days. Quantity I > Quantity II.

Keep practicing — related questions