Logic Questions


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AGGEMAM said:


Ere is not a word I have heard of however he is.

You haven't done many crossword puzzles lately then.

so here is the stuff
Main Entry: 1ere
Pronunciation: 'er, 'ar
Function: preposition
Etymology: Middle English er, from Old English [AE]r, from [AE]r, adverb, early, soon; akin to Old High German Er earlier, Greek Eri early
Date: before 12th century
: 2BEFORE 2 <contrived ere the beginning of the world -- Norman Douglas>

Edit: I meant to say you were correct, ere WAS a word. Now it is not.
 
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Richards said:
You just ate corn on the cob. (The original "outside" being the husk).

Johnathan

Corn is the winning answer for #2

There is a grandfather clock that chimes the appropriate number of times to indicate the hour, as well as chiming once each quarter hour. If you were in the other room and heard the clock chime just once, what would be the longest period of time you would have to wait in order to be certain of the correct time? (The clock is working properly and set to the correct time)
 

One hour, if it was 1 o'clock then you you would have to wait one full hour to hear 2 chimes and know it was 2 o'clock.

or

45 minutes cause 4 single chimes would let you know it was 1:45 as that's the only time you'd here 4 single chimes,

edit: corrected answer.
 
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One hour, 30 minutes (will edit with explanation).

EXPLANATION:

Assume you just heard the clock chime once at 12:15. You know that the time is (a) an increment of 15 minutes of any hour - x:15, x:30, x:45 - or (b) 1 o'clock.

In 15 minutes, the clock chimes once again. You know now that the time is either x:30, x:45, 1:00, or 1:15

In 15 minutes the clock chimes once again. Total: 30 minutes. You know now that the time is either x:45, 1:00, 1:15, or 1:30

In 15 minutes the clock chimes once again. Total: 45 minutes. You know now that the time is either 1:00, 1:15, 1:30, or 1:45 as these are the only times when the clock can chime once four times in succession.

In 15 minutes the clock chimes once again. Total: 1 hour. You know now that the time is 1:15, 1:30, or 1:45.

In 15 minutes the clock chimes once again. Total: 1:15. You know now that the time is 1:30 or 1:45.

In 15 minutes, the clock chimes once again. Total: 1:30. You know it has to be 1:45 because that is the only time when the clock will have chimed once seven times in succession (at 12:15, 12:30, 12:45, 1:00, 1:15, 1:30, and 1:45).

You don't have to wait for it to chime twice (2 o'clock) since only one combination of chime once seven times exists.

Remember, event though the clock chimes every 15 minutes, the first "chime" is "free" (actually, it's at 0 on your "timer") so N chimes takes (N-1)*15 minutes to hear.

--The Sigil
 
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