Random Puzzles 

Workings

Hint
The most common word begins with the letter V.

Answers
Common: vacuum, vacuumed, vacuuming, vacuums.

Less common: continuum, continuums, muumuu, muumuus.

Much less common: carduus, carduuses, continuua, duumvir, duumviral, duumvirate, duumvirates, duumviri, duumvirs, individuum, individuums, lituus, lituuses, menstruum, menstruums, mutuum, mutuums, paramenstruum, paramenstruums, residuum, residuums, squush, squushed, squushes, squushier, squushiest, squushing, squushy, triduum, triduums, ultravacuum, ultravacuums, weltanschauung, weltanschauungen, weltanschauungs.

Workings

Hint
The answer isn't 9!

Answer
One big one!

Workings

Hint
Look at Q2 first.

Answer
Q1. d)
Q2. c)
Q3. a)
Q4. b)

Reasoning
Let's look at Q1 first, and check each possible option:

If Q1's answer was a):
… we'll leave checking this for now, because …

If Q1's answer was b):
… we'll leave checking this for now, because …

If Q1's answer was c):
it would reference itself, and we'd learn nothing new, and we'd then have to check Q2.

So, let's start with Q2 first instead of Q1.

If Q2's answer was a):
   an immediate contradiction, as Q4 can't be the first answer with a) as we've assumed Q2's answer is a).

If Q2's answer was b):
   an immediate contradiction, as Q2 can't be the first answer with a) as we've assumed Q2's answer is b).

If Q2's answer was c):
   Q3's answer would be a)
   Q1's answer would be d)
   confirming Q2's answer as c)
   leaving Q4's only possible answer as b)
   no contradiction.

If Q2's answer was d):
   Q1's answer would be a)   (*)
   Q3's answer would be c)
   Q4's answer would be d)
   Q1's answer would be b)
   but this contradicts the section marked (*).

Therefore, the only possible answer with no contradiction is when Q2's answer is c).

We can then follow Q2's answer, which leads to the answers to Q1 to Q3. Q4 must then reference itself.

Workings

Hint
Remember that you have the same number of each coin.

Answer
134 of each coin.

Reasoning
We have equal numbers of 2p, 5p, 10p, and 20p.

And 2p + 5p + 10p + 20p = 37p.

There are 134 lots of 37p in £49.58.

Double-Checking
134 x 37 = 4958.