Directions Next Two Questions The questions below consist of a question and two statements numbered ...........

Math and Mental Ability Data Sufficiency

Directions (Next Two Questions):

The questions below consist of a question and two statements numbered I and II. You have to decide whether the data provided in the statements are sufficient to answer the question. Read the questions and both the statement and choose from options given below

Question:

What is the price of a table?

I. The total price of 3 chairs and 5 tables is Rs.18,800.

II. The total price of 6 chairs and 4 tables is Rs.20,800

The data in statement I alone are sufficient to answer the question.

The data in statement II alone are sufficient to answer the question.

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

The data in both the statements I and II together are sufficient to answer the question.

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Explanation:

- Statement I tells us that the combined cost of 3 chairs and 5 tables is Rs.18,800. Alone, this doesn't give us the exact price of a single table.

- Statement II states the combined cost of 6 chairs and 4 tables is Rs.20,800. Like Statement I, it alone doesn't provide the price of a single table.

- By using both statements together, we have two equations:

- 3C + 5T = 18,800

- 6C + 4T = 20,800

- Solving these simultaneous equations will yield the individual price of a table.

Answer: The data in both the statements I and II together are sufficient to answer the question.