Question

42. Ajay started a test at a certain time between 5 O clock
and 6 o'clock and ended between 6 O'clock and
7 O'clock. Ajay observed that the minutes and hours
hands when he ended the test had interchanged their
positions with those when he started. How much time
did he take for the test?
(A) 523/11 minutes (B) 555/13 minutes
(C) 474/9 minutes (D) 45 minutes​

Answer 1

Answer:

45 min

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Answer 2

Answer:

The correct answer of the time taken by Ajay to complete the test is option (C) $\frac{474}{9}$ minutes.

Step-by-step explanation:

Ajay went out for the test at around 5-6 and came back after at around 6-7. He noticed that the hands of the clock had just exchanged hands.

Thus, when he left, the hour hand was between 5 and 6 and the minute hand was between 6 and 7. And when he came back, the hour hand was between 6 and 7 and the minute hand was between 5 and 6.

Thus, we can say that Ajay should have left at somewhere between 5:30 and 5:35 and should have came back after completing the test at somewhere between 6:25 and 6:30. Most probably, he would have left at 5:32 and should have came back at 6:27.

The time duration taken by Ajay to complete his test will be: 55 minutes.

Thus, option (c) $\frac{474}{9}$ minutes as solving it too, we get 54 minutes (approx).

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