Easy Puzzles 

Workings

Hint
How many minutes are between the times?

Answer
50 minutes.

Reasoning
If we call the number of unknown minutes T.

Between four o'clock and eight o'clock, there are 240 minutes.

There is some point between these two times, before which we have 3 lots of T, and after which we have one lot of T plus 40 minutes.

Therefore, in the 240 minutes, there are 4 lots of T plus 40 minutes.

   240 = 4 x T + 40.

Therefore, T = 50 minutes.

Workings

Hint
Find two numbers that multiply to 187.

Answer
There were 17 children, with 11 sweets each.

Reasoning
If we number the clues:
each child had more than one sweet there were more children than there were sweets per child
187 only has the factors 1, 11, 17, 187. Therefore, the only possible answers are:

   1 child, with 187 sweets each, which is not allowed by (2)

   11 children, with 17 sweets each, which is not allowed by (2)

   17 children, with 11 sweets each (*)

   187 children, with 1 sweet each, which is not allowed by (1)

Only one possible answer (*) isn't eliminated.

Workings

Hint
3 raised to the 5^th power is 3 x 3 x 3 x 3 x 3.

Answer
3 raised to 5^th power.

Reasoning
3 raised to the 5^th power = 3 ^ 5 = 3 x 3 x 3 x 3 x 3 = 243

and

5 raised to the 3^rd power = 5 ^ 3 = 5 x 5 x 5 = 125.

Workings

Hint
Be careful of what you're adding.

Answer
We have to be careful what we are adding together.

Originally, they paid £30, they each received back £1, they now have only paid £27.

Of this £27, £25 went to the manager for the room and £2 went to the porter.