Multiple choice

Directions: The following problem contains a question and two statements giving certain data. You have to decide whether the data given in the statements is sufficient for answering the question and then mark the option accordingly. If a certain animated cartoon consists of a total of 17,280 frames on film, how many minutes will it take to run the cartoon? (A) The cartoon runs without interruption at the rate of 24 frames per second. (B) It takes 6 times as long to run the cartoon as it takes to rewind the film, and it takes a total of 14 minutes to do both.

  1. Statement (A) alone is sufficient but statement (B) alone is not sufficient.

  2. Statement (B) alone is sufficient but statement (A) alone is not sufficient.

  3. Both (A) and (B) together are sufficient but none of them alone is sufficient.

  4. Both statements independently are sufficient.

  5. Both (A) and (B) together are not sufficient.
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Statement A gives the frame rate, allowing calculation of time (17280 / 24 = 720 seconds = 12 minutes). Statement B provides a system of equations (Run = 6 * Rewind, Run + Rewind = 14) which also allows solving for the run time. Both are sufficient independently.

AI explanation

Statement (A) gives the rate as 24 frames per second, so using the formula time equals total frames divided by rate, the time is 17280 divided by 24, or 720 seconds, which equals 12 minutes. Statement (B) states the run time is 6 times the rewind time and the total time for both is 14 minutes; setting up the equation 6x + x = 14 gives a rewind time of 2 minutes, meaning the cartoon takes 12 minutes to run. Both statements provide the exact running time, so both statements independently are sufficient.

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