Question

This question consists of a question and two statements numbered I and II. Decide whether the data given in the statements are sufficient to answer the question.

What is the 57th number in a series of numbers?
I. Each number in the series is three more than the preceding number.
II. The tenth number in the series is 29.

• A. 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.
• B. 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.
• C. If the data either in Statement I or Statement II alone are sufficient to answer the question.
• D. If the data in both Statements I and II together is necessary to answer the question.

Hint:

Statement I only gives the common difference, and Statement II only gives one term; you need both together to place the 57th term.

Answer 1

The Correct Option is D

Statement I alone (common difference=3) gives no anchor value - insufficient. Statement II alone (10th term=29) gives one point but no growth rate - insufficient. Together: a57=29+(57-10)x3=29+141=170, fully determined.

Final Answer: Both statements together necessary, option (4).