Random Puzzles 

Workings

Hint
Where on Earth can you end up back where you start?

Answer
White.

They were at the North Pole and saw a polar bear.

Workings

Hint
Each number in the poem indicates which letter of the answer is being used.

Answer
Wednesday.

Reasoning
Each number in the poem indicates which letter of the answer is being used.
6523 = seed
 689 = say
 751 = dew
 421 = new

Therefore, '751 rhymes with you' is read as 'dew rhymes with you'.

Workings

Hint
Look at the letters more closely.

Answer
Michael.

Each name begins with the last letter of the preceding name.

Workings

Hint
What do the fractions add up to?

Answer
There are 980 coins in the collection.

Reasoning
Using fractions:

   ¹⁄₂ + ¹⁄₄ + ¹⁄₅ = ¹⁹⁄₂₀

The remaining ¹⁄₂₀ is 49 coins.

Therefore, the ²⁰⁄₂₀ must equal 20 lots of 49 = 980.

Alternative Reasoning
Using percentages:

   50% + 25% + 20% = 95%

The remaining 5% is 49 coins.

If 5% is 49 coins, 10% is 98 coins, 100% is 980 coins.

Double-Checking
¹⁄₂ of 980 is 490
¹⁄₄ of 980 is 245
¹⁄₅ of 980 is 196
and the remaining 49 coins.

And 490 + 245 + 196 + 49 = 980.