Multiple choice

Directions: 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: Prem and Ramesh started from two cities Patna and Allahabad respectively, traveling at constant speeds, to reach Allahabad and Patna respectively. At what time will they meet? Statement I: The distance between Patna and Allahabad is 250 km. Prem travels at 50 km/hr and Ramesh travels at 25 km/hr Statement II: Prem started from Patna at 5:00 a.m. and reached Allahabad at 11:00 a.m. Ramesh started from Allahabad at 7:00 a.m. and reached Patna at 3.00 p.m.

  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. The data in statements I alone or in statement II alone is sufficient to answer the question.

  4. The data in both the statements I and II is not sufficient to answer the question

  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
AI explanation

From statement I, we know the distance is 250 km and the speeds of Prem and Ramesh are 50 km/hr and 25 km/hr, but without their starting times, we cannot find the exact meeting time. From statement II, Prem takes 6 hours to reach Allahabad, so his speed is 250/6 km/hr, and Ramesh takes 8 hours, so his speed is 250/8 km/hr. Using their starting times of 5:00 a.m. and 7:00 a.m. with these respective speeds, we can set up an equation to find their exact meeting time after 7:00 a.m. Thus, the data in statement II alone is sufficient, while statement I alone is not.

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