Multiple choice

A question and some statements are given below it. You have to decide whether the data provided in the statements is sufficient to answer the question. You should use the given data and your knowledge of Mathematics to choose between the possible answers. What is the time taken by Rohit from his house to school? I. If he walks 20% faster than his usual speed then he reaches 20 seconds earlier than usual time. II. If he walks at 66.67% of his usual speed, he takes 60 seconds more to reach the school. III. If he walks half of his usual speed, he takes 120 seconds more to reach the school.

  1. The data in both the statement I and II together is sufficient to answer the question, while the data in statement III alone is not sufficient to answer the question.

  2. The data in both the statement II and III together is sufficient to answer the question, while the data in statement I alone is not sufficient to answer the question.

  3. The data in both the statement I and III together is sufficient to answer the question, while the data in statement II alone is not sufficient to answer the question.

  4. The data given in all statements I, II and III together are necessary to answer the question.

  5. The data given in all statements I, II and III are alone sufficient to answer the question.
Reveal answer Fill a bubble to check yourself
E Correct answer
Explanation

Statement I: 1.2v distance covered in (t-20) seconds, so 1.2v(t-20) = vt. Statement II: 0.6667v distance covered in (t+60) seconds, so 0.6667v(t+60) = vt. Statement III: 0.5v distance covered in (t+120) seconds. Each statement alone creates an equation solvable for t and v (2 variables, 1 equation with ratio relationship).

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