Multiple choice

Passage

Each of the questions given below consists of a statement and/or a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statement(s) is/are sufficient to answer the given question. Read both the statements and Give answer

What is the average weight of the three new members who are recently included into the team? I. The average weight of the team increases by 20 kg. II. The three new men substitute earlier members whose weights are 64 kg, 75 kg and 66 kg.

  1. if the data in statement I alone are sufficient to answer the question, while the data in Statement II alone are not sufficient to answer the question

  2. if the data in statement II alone are sufficient to answer the question, while the data in Statement I alone are not sufficient to answer the question

  3. if the data either in statement I or in Statement II alone are sufficient to answer the question

  4. if the data even in both statements I and II together are not sufficient to answer the question

  5. if the data in both statements I and II together are necessary to answer the question
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Statement I tells us the total weight increases by 20kg, but we don't know the number of team members, so we can't find the total weight change. Statement II lists the weights of the replaced members, but we don't know the weight of the new members. Even together, we lack the number of members to calculate the average.

AI explanation

Using the formula for a changed average, the required sum of the weights of the three new members equals the sum of the replaced weights plus the product of the total number of team members and the increase in the average weight. While the replaced weights sum to 205 kg and the average increases by 20 kg, statement I only gives the change in average without providing the original number of members in the team. Therefore, even when using both statements together, the initial number of team members remains unknown, making it impossible to calculate the total required weight and the average weight of the new members.

Keep practicing — related questions