Multiple choice

The tables are arranged in rows and columns in a hall for a Physics seminar in such a way that the number of tables in each row is 4 times the total number of rows. Will the number of tables in each row be more than 40? (1) The total number of tables arranged is 900. (2) There are more than 15 rows.

  1. Statement (1) ALONE is sufficient, but statement (2) ALONE is not sufficient.

  2. Statement (2) ALONE is sufficient, but statement (1) ALONE is not sufficient.

  3. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.

  4. EACH statement ALONE is sufficient.

  5. Statements (1) and (2) TOGETHER are NOT sufficient.
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A Correct answer
AI explanation

Let the number of rows be R, so the number of tables in each row becomes 4R. Using statement 1, we know the total number of tables is 900, so we set up the equation R times 4R equals 900. Solving this quadratic equation gives 4R squared equals 900, meaning R squared equals 225 and R equals 15. Therefore, the number of tables in each row is 4 times 15, which equals exactly 40, answering the question with a definitive no. Since statement 2 only provides a range and does not give a specific total, statement 1 alone is sufficient.

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