Multiple choice

Passage

Directions: Each of the questions below consists of a question and three statements numbered I, II and III given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read all the statements and give answer:

Is the average age of the students of a school less than 17 years? Statement I : The strength of the class VIII is less than 25% of the strength of the school. Statement II : The average age of the students of class VIII of the school is 18 years and that of the remaining classes is 16 years.

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

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

  3. If the data either in statement I alone or in statement II alone is sufficient to answer the question

  4. If the data in both statements I and II together are necessary to answer the question

  5. If the data given in both statements I and II together are not sufficient to answer the question.
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

To find the school's average, we need the weighted average of class VIII and the rest of the school. Statement I gives the relative size (weight), and Statement II gives the average ages. Both are required to calculate the total average.

AI explanation

Statement I alone only provides the ratio of students in class VIII to the total school strength, which is insufficient to find the overall average age. Statement II alone provides the average ages of class VIII and the remaining classes, but without knowing the exact population ratio between the two groups, the combined average cannot be found. By using both statements together, we know the weight of class VIII is strictly less than 25 percent, meaning the overall average age will be strictly less than 16.5 years, which answers the question. Therefore, data from both statements are necessary to answer the question.

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