Multiple choice

The following questions are accompanied by two statements I and II. You have to determine which statement is/are sufficient to answer the question. A man spends 20 minutes in commuting to his office by bus. How far is the office from his home? I. The bus travels at a speed of 20kmph. II. The same journey by train takes 15 minutes.

  1. If only one statement alone is sufficient to answer the question while the other statement is not sufficient

  2. If either statement I or II is independently sufficient to answer the question.

  3. If neither statement I nor II is sufficient to answer the question.

  4. If both the statements I and II are together sufficient to answer the question.

  5. None of these
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A Correct answer
Explanation

Statement I gives speed (20 km/h) and time (20 min = 1/3 h). Distance = Speed * Time = 20 * 1/3 = 6.67 km. Statement II is irrelevant to the distance calculation. Thus, statement I alone is sufficient.

AI explanation

Using the formula distance equals speed multiplied by time, statement one gives the bus speed as 20 km/hr and the time as 20 minutes, or one-third of an hour. Multiplying 20 by one-third yields a distance of 6.67 km, making statement one sufficient to find the office distance. Statement two only mentions the train takes 15 minutes but provides no speed, so it cannot be used to calculate the distance. Thus, only statement one alone is sufficient while statement two is not.

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