Puzzle 1516

A mother recently arranged a children's party and had 187 sweets to give out equally to the children.
Each child had more than one sweet and there were more children than there were sweets per child.
How many sweets did each child end up with?

[Ref: ZEXD] © Kevin Stone

Hint: Something x something = 187.

Answer:
11 sweets each, for 17 children. 187 = 11 x 17.

Puzzle 1517

You have the misfortune to own an unreliable clock. This one loses exactly 30 minutes every hour. It is now showing 4.00am and you know that is was correct at midnight, when you set it. The clock stopped five hours ago, what is the correct time now?

[Ref: ZRLR] © Kevin Stone

Puzzle 1518

What number comes next in this sequence:

1 2 2 4 8 11 33 37 148 ==?==

[Ref: ZHSX] © Kevin Stone

Hint: The sequence involves both adding and multiplying in some way.

Answer: 153.
The sequence is created using: +1 x1 +2 x2 +3 x3 +4 x4 +5.

Puzzle 1519

Can you find three words which contain two consecutive i's.

[Ref: ZVKU] © Kevin Stone

Hint: The words begin with the letters R, S, T.

Answer: RADII, SKIING, TAXIING.
You could also have GENII.

Puzzle 1520

If you have a very tight nut on a bolt, what is the best way to free it:

Heat it, cool it, either, neither?

[Ref: ZDBK]

Hint: Do things get larger or smaller when you heat them?

Answer: Heat it.
The nut will increase in size more than the bolt, this makes the hole in the nut larger so freeing the joint.