perplexus.info :: General : Pentagonal Time

Pentagonal Time (Posted on 2022-01-30)

The current time is between 1 o'clock and 12 o'clock in a wall clock and both the minute hand and the hour hand are situated precisely on two distinct minute marks.

It is observed that the hour hand is precisely a pentagonal number of minute marks ahead of the 12 hour mark. The number of minute marks by which the hour hand is ahead of the minute hand is also a pentagonal number greater than 1.

Determine the current time from the information provided in the above statements.

No Solution Yet Submitted by K Sengupta

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CORRIGENDUM

| Comment 3 of 10 |

(In reply to possibly no solution? by Steven Lord)

PLEASE disregard my LAST COMMENT.

You are RIGHT.

There has been an ERROR in the PROBLEM TEXT.

The SECOND STATEMENT in paragraph 2 should read as:

"The number of minute marks by which the MINUTE HAND is ahead of the HOUR HAND is also a pentagonal number greater than 1."

Any inconvenience caused due to the foregoing is sincerely regretted.

Edited on January 30, 2022, 12:16 pm

Posted by K Sengupta on 2022-01-30 12:15:24

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