Random Puzzles 

Workings

Hint
This is a trick question.

Answer
Once.

After which you will be taking 7 from 42!

Workings

Hint
How many sweets in total are there?

Answer
1 in 15.

Reasoning
In total, there are 390 sweets in the jar, and 26 of them are blue.

So the chance of picking blue is 26 in 390 = 1 in 15 = 6.66%.

Workings

Hint
What must the middle temperature be? Remember that the temperature are in degrees Celsius.

Answer
The temperatures were -6, -2, 2, 6, 10 °C.

Each day increased by a steady 4 degrees.

Reasoning
As the temperature rose steadily each day, we know that the middle temperature (Day 3) was 2 degrees (because the average was 2 degrees).

Since Day 3 was 2 degrees, and there were two negative temperatures, we know that the daily increase must have been at least 3 degrees (otherwise Day 2 would not have been negative).

If we check a daily increase of 3 degrees, the sequence would be -4, -1, 2, 5, 8, but this doesn't work as the product is less than 500.

If we check a daily increase of 4 degrees, the sequence would be -6, -2, 2, 6, 10, which does matches all of the requirements.

If we check a daily increase of 5 degrees, the sequence would be -8, -3, 2, 7, 12, but this doesn't work as the product is more than 2000.

Any larger increase makes the product even larger, so we can stop checking.

So the only possible answer is -6, -2, 2, 6, 10.

Workings

Hint
Look at the first letter of each month.

Answer
199.

Take the first letter of the month, and find its position in the alphabet: S = 19.

Then take the number of letters in the month: September = 9.
January    10 7
February   6 8
March      13 5
April      1 5
May        13 3
June       10 4
July       10 4
August     1 6
September  19 9