Question

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 your answer as
What will be the average weight of the remaining class?
I. Average weight of 30 children out of total 46 in the class is 22.5 kg and that of the remaining children is 29.125 kg. A child having weight more than 40 kg is excluded.
II. Average weight of a class of 46 children is 23.5 kg. A child weighting 46 is dropped out.

• A. The data either in statement I alone or in statement II alone are sufficient to answer the question.
• B. 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.
• C. 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.
• D. The data even in both statements I and II together are not sufficient to answer the question.

Answer 1

The Correct Option is B

According to given both statement in above question , we have
From statement I ,
Average weight of 30 children = 22.5 Kg
Total weight of 30 children = 30\(\times\)22.5 = 675 Kg
Average weight of the remaining 16 children = 29.125 Kg
Total weight of remaining 16 children = 16\(\times\)29.125 = 466 Kg
A child having weight more than 40 Kg is excluded.
From statement II ,
Average weight of 46 children = 23.5 Kg
Total weight of 46 children = 46\(\times\)23.5 = 1081 Kg
Weight of 1 child is dropped out = 46 Kg
From statement II , we have
∴ Weight of the remaining class = 1081- 46 = 1035 Kg
∴ Average weight of the remaining class = \(\frac{1035}{45}\) = 23 Kg
Hence , 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.
The correct option is (B): 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.