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First of all, some deduction:

As two of the fingers are (mainly) on the quantity (that means the big 1-12 which can be written on most clocks), then at the very least one in every of them have to be the $12$. This is as a result of for the minute hand to be on the quantity, the second hand have to be on the $12$, and the identical is true for the hour when it comes to the minute. The second hand might be wherever, however since two fingers match the quantity, one have to be the $12$.

A phrase on notation:

I can be utilizing the identical distinctions as @Prim3numbah did in his reply. That is, the top-left hand is $A$, then $B$ and $C$ proceed clockwise from there.

We now have two situations:

Either $A$ is on the $12$, or $C$ is.

With the primary situation:

Assume $A$ is on the $12$. It can’t be the hour hand, as this is able to imply it was midday, which frequent sense ought to inform you it isn’t. If $A$ is the minute hand, $C$ must be the hour hand, because the time could be completely on the hour. The time would then be 10:00:24, and since $A$ is so near the quantity, I might argue that this isn’t the case. If $A$ is the second hand, nonetheless, $C$ could be the minute hand, and the time could be 4:50:00, and this traces up, as $B$ is roughly $dfrac56$ of the way in which between the numbers.

With the second situation:

Assume $C$ is on the $12$. It cannot be the hour hand for causes described above. If $C$ is the minute hand, $A$ is the hour hand, and the time could be 2:00:34, which does not line up properly. If $C$ is the second hand, $A$ could be the minute, and the time could be 6:10:00, which additionally doesn’t match the image.

This means:

As I see it, there’s one time that the clock could be, which is exactly

4:50:00.

An Interesting Point:

This puzzle is fascinating in that it’s going to work whether or not the clock runs forwards or backwards. While clockwise is more likely to be the belief for a center college drawback, if it isn’t required, then because the fingers are pretty symmetrical, a time of 4:50:00 can even work.

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