My clock has gone wrong and chimes three times at one o'clock, four times at two o'clock, and so on. It also half-an-hour fast. What is the correct time when the clock has just chimed eight?

it chimes 8 times when it says 6:00

but it's a half hour fast, so what time is it really?

6:30

1

Are you sure it is 8.40

If the clock chimes three times at one o'clock, it must be a.m. So it seems the clock chimes 8 times when it reaches 6:00 am, but since the clock is half an hour fast, the actual time is 5:30 am. Therefore, if the clock has just chimed eight, the correct time should be 4:30 am.

Are you sure it's 4.30

Yes, if the clock chimes eight times when it actually is 4:00 am (half an hour fast), the correct time when the clock has just chimed eight should be 4:30 am.

In a very dark cupboard there is a heap of twenty socks all of the same size,ten of which are grey and ten blue 💙 how many sock must you pick up in order to make sure that you obtain a pair of the same color

You only need to pick up 3 socks to ensure you obtain a pair of the same color.

The worst-case scenario would be picking up one gray sock and one blue sock on your first two tries. The third sock you pick up would have to match one of the colors of the socks you already have, giving you a pair of the same color.

I thought it was five