Random Puzzles 

Workings

Hint
This is quite a common alphabet.

Answer
Z.

From Zeta, first letters of the Greek alphabet, alpha, beta, gamma, delta, epsilon, zeta, eta.

Workings

Hint
You don't need to use a calculator.

Answer
Cube root of 2.

Reasoning
We could use a calculator to see that the tenth root of 10 = 1.2589 and the cube root of 2 = 1.2599.

But, if you've not got your calculator handy …

We have:

   10^1/10 or 2^1/3

Raise each to the power of 30 (since 10 x 3 = 30) to give:

   (10^1/10)³⁰ or (2^1/3)³⁰

   10^{1/10 x 30} or 2^{1/3 x 30}

   10³ or 2¹⁰

   1000 or 1024

Therefore, the cube root of 2 is larger.

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.

Workings

Hint
There are currently two answers. One answer contains 7 letters, and starts with the letter B. The other contains 4 letters, and starts with the letter S.

Answer
While driving their car at a reckless speed, the driver was distracted by their dog barking. Luckily, they managed to complete the braking manoeuvre without crashing.

Alternative Answer
While driving their car at a reckless speed, the driver was distracted by their dog Spot. Luckily, they managed to complete the stop manoeuvre without crashing.