Random Puzzles 

Workings

Hint
Look to the skies for the answer.

Answer
S.

From Saturn.

Reasoning
These are the initial letters of the planets.
M = Mercury
V = Venus
E = Earth
M = Mars
J = Jupiter
S = Saturn

Workings

Hint
How large would the smaller cube be?

Answer
1,352 small cubes.

Reasoning
The original large cube with 16 small cubes along each edge would require 16 x 16 x 16 = 4,096 small cubes.

Removing the outside layer would leave a large cube now with 14 small cubes along each edge (which requires 14 x 14 x 14 = 2,744 small cubes).

It isn't 15 small cubes because you're removing both ends of an edge.

Therefore, you have removed 4,096 − 2,744 = 1,352 small cubes.

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

Hints
The first letters of the words are: P, O, B, C, U, R, D, V, D, D, N, S, B, T, D.

Answers
---cil = pencil ---hid = orchid ---nze = bronze ---ese = cheese ---lug = unplug ---som = ransom ---uxe = deluxe ---uum = vacuum ---arm = disarm ---amo = dynamo ---rby = nearby ---ink = shrink ---sai = bonsai ---too = tattoo ---fen = deafen