Random Puzzles 

Workings

Hint
There are 1,760 yards in a mile, 3 feet in a yard, and 12 inches in a foot.

Answer
Inches in a mile.

Reasoning
There are 1,760 yards in a mile, 3 feet in a yard, and 12 inches in a foot.

There are 1760 x 3 x 12 = 63,360 inches in a mile, and around 1,000 x 52 = 52,000 Sundays in a thousand years.

Depending on the day of the week the first day of the year falls, there are either 52,177 or 52,178 Sundays in a thousand years.

Workings

Hint
Try removing the spaces between the numbers.

Answer
48 11.

These are the squares of numbers without the correct spacing.

   1 4 9 16 25 36 49 64 81 100

with no spaces becomes:

   149162536496481100

broken into blocks of two:

   14 91 62 53 64 96 48 11 00

So the next two in the sequence are 48 and 11.

Workings

Hint
Try working backwards.

Answer
Saturday.

Reasoning
It's best to work backwards:

   "Sunday's tomorrow"

is Monday.

   "the day after Sunday's tomorrow"

is therefore Tuesday.

   "five days before the day after Sunday's tomorrow"

is therefore Thursday.

   "yesterday was five days before the day after Sunday's tomorrow"

yesterday was Thursday, making today Friday. Therefore tomorrow is Saturday.

Workings

Hint
There are 60 seconds in a minute, and 60 minutes in an hour.

Answer
Seconds in a week.

Reasoning
There are 60 x 60 x 24 x 7 = 604,800 seconds in a week.

There are 60 x 24 x 365 = 525,600 minutes in a (non-leap) year.