Multiple choice

Study the following information carefully and answer the question that follows: What time does the clock show? (A) The hour and minute hand are between 8 o' clock and 9 o' clock. (B) The hour and minute hand make an angle of 72o with each other.

  1. If the question can be solved using any one of the statements.

  2. If the question can be solved using either of the statements.

  3. If the question can be solved using both but not either alone.

  4. If the question cannot be solved using the given statements.

  5. None of these

Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Statement A tells us the time is between 8 and 9, which is insufficient. Statement B gives angle of 72° between hands. Between 8 and 9, the hands make 72° twice - once when minute hand is ahead of hour hand, and once when hour hand is ahead (around 8:12 and 8:24). Without knowing which configuration or additional info, we cannot uniquely determine the time. Both statements together still give two possible times, so the question cannot be solved uniquely.