Multiple choice

Each question below is followed by two statements I and II. You are to determine whether the data given in the statement is sufficient to answer the question. You should use the data and your knowledge of Mathematics to choose between the possible answers. Give answer- (1) If the question can be answered by using statement I alone but cannot be answered by statement II alone. (2) If the question can be answered by using statement II alone but cannot be answered by statement I alone. (3) If both statements I and II together are required to answer the question. (4) If the answer can be found by using any of the two statements alone. (5) If both the statements together are not sufficient to answer the question. What is the time taken by Ram from point A to other point B? I. If he walks 25% faster than his usual speed then he reaches 20 seconds earlier. II. If he walks half of his usual speed, he takes 100 seconds more to reach the finishing point B.

  1. 1

  2. 2

  3. 3

  4. 4

  5. 5

Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let distance be D and speed be S. Time T = D/S. Statement I: D/(0.75S) = T - 20/60. This relates D and S but doesn't give T alone. Statement II: D/(0.5S) = T + 100/60. This also relates D and S. Together, we have two equations with two variables (D/S), allowing us to solve for T.

AI explanation

Using statement I alone, if Ram walks 25% faster, his new speed is 5/4 of his usual speed, meaning his new time becomes 4/5 of his usual time; the 1/5 time reduction equals 20 seconds, so his usual time is 100 seconds. Using statement II alone, walking at half his usual speed doubles his usual time, creating a 100-second delay that equals his usual time. Since either statement independently allows us to find the exact usual time, the answer can be found by using any of the two statements alone.