Multiple choice

The following question has three statements. Study the question and the statements and decide which of the statement(s) is necessary 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. III. If he walks one-fourth of his usual speed, he takes 300 seconds more to reach the finishing point B.

  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. All statements I, II and III alone is sufficient to answer the question.

  5. The data given in all statements I, II and III are not sufficient to answer the question.
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

For usual speed v and time t, distance d=v×t. Statement I: 1.25v(t-20)=vt gives 0.25vt=25v, so t=100 seconds. Statement II: 0.5v(t+100)=vt gives 0.5vt=50v, so t=100 seconds. Statement III: 0.25v(t+300)=vt gives 0.75vt=75v, so t=100 seconds. Each statement alone is sufficient to find t=100 seconds, validating D.

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