Multiple choice

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 and give answer: One day I left my home at 7 : 00 AM and assumed that if I run at uniform speed then I will reach my school at 12 : 00 AM. If my brother left the school for home at 8 : 00 AM with his uniform speed then at what time will he meet me? Statement I : The uniform speed of my brother is 14 km per hour. Statement II : He can reach home at 11:30 AM.

  1. The data in statements I alone is sufficient to answer the question, while the data in statement II alone is not sufficient to answer the question.

  2. The data in statements II alone is sufficient to answer the question, while the data in statement I alone is not sufficient to answer the question.

  3. Either Statement I or Statement II alone is sufficient to answer the question.

  4. Neither statement I nor statement II is sufficient to answer the questions.

  5. The data in both the statements I and II together is necessary to answer the question
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Statement II gives the brother's travel time from 8:00 AM to 11:30 AM, which determines his speed relative to the known journey. This is enough to calculate where the two travelers meet. Statement I gives only his speed, without the distance or the first traveler's speed, so it is insufficient alone.

AI explanation

Statement I only provides the brother's speed of 14 km/hr, which is not enough to answer the question without knowing the total distance. Statement II states the brother reaches home at 11:30 a.m.; since he left at 8:00 a.m., his travel time is 3.5 hours. Because you left at 7:00 a.m. and arrived at 12:00 p.m., your travel time is 5 hours, meaning your brother's speed is 5/3.5 of your speed; applying the concept of relative speed on this journey allows us to calculate the meeting time using just the brother's total travel duration. Therefore, the data in statement II alone is sufficient, while the data in statement I alone is not.

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