Multiple choice

Directions: Each of the questions below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements. In how many days P can complete the whole work? I. Q can complete the work in 10 days less than R. II. R can complete the whole work in 20 days more than P. While P takes 10 days less than Q to complete the whole work.

  1. Only I

  2. Only II

  3. Both I and II

  4. Neither I nor II

  5. Either I or II
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Statement I only relates Q and R's time with Q = R - 10, which gives no information about P. Statement II gives two relationships: R = P + 20 and P = Q - 10, which can be combined to get R = Q + 10. Combining both statements gives Q = R - 10 and R = Q + 10, which are consistent. However, we have three variables (P, Q, R) with only two independent equations. Without absolute values or total work, we cannot determine P's exact number of days.

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