Multiple choice

Directions: In the question, two quantities are given, one as 'Quantity 1' and another as 'Quantity 2'. You have to determine relationship between the two quantities and choose the appropriate option. There are two types of projects viz. P1 and P2. Sunil can complete project P1 and project P2 in 20 days and 22 days, respectively. Guddu can complete project P1 and project P2 in 40 days and 44 days, respectively. Quantity 1: Time taken by Sunil and Guddu to complete project P1 together. Quantity 2: Time taken by Sunil and Guddu to complete project P2 together.

  1. Quantity 1 > Quantity 2

  2. Quantity 1 ≥ Quantity 2

  3. Quantity 2 > Quantity 1

  4. Quantity 2 ≥ Quantity 1

  5. Quantity 1 = Quantity 2 or relation cannot be established
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Quantity 1: Sunil and Guddu together for P1 = 1 / (1/20 + 1/40) = 1 / (3/40) = 13.33 days. Quantity 2: Sunil and Guddu together for P2 = 1 / (1/22 + 1/44) = 1 / (3/44) = 14.66 days. Since 14.66 > 13.33, Quantity 2 > Quantity 1.

AI explanation

Using the standard time and work formula for two people, the combined time for a project equals the product of their individual times divided by the sum of their times. For Quantity 1, Sunil and Guddu complete P1 in (20 times 40) divided by (20 plus 40), which equals 800/60 days. For Quantity 2, they complete P2 in (22 times 44) divided by (22 plus 44), which equals 968/66 days. When you simplify these fractions, Quantity 1 is 13.33 days and Quantity 2 is 14.66 days, proving that Quantity 2 is greater than Quantity 1.

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