Random Puzzles 

Workings

Hint
Try working backwards.

Answer
148.

Reasoning
A number that is divisible by 3 has digits that add up to a number that is also divisible by 3 (for example, 123 is divisible by 3).

So we can look for the first number where 4 + 4 + 4 + 4 + 4 + … is divisible by 3, which is 4 + 4 + 4, and 444 ÷ 3 = 148.

Alternative Reasoning
Let's try the possible answers in order:

  4 ÷ 3 = 1.3333
 44 ÷ 3 = 14.6666
444 ÷ 3 = 148

Double-Checking
148 x 3 = 444.

Workings

Hint
Where do they each grow?

Answer
Potato.

This is the only one that grows underground.

Workings

Hint
The first word begins with the letter M.

Answers
-ai-e = maize (MZ) s-ua- = squad (QD) -e-el = jewel (JW) -o-ed = foxed (FX) -na-e = knave (KV) fog-- = foggy (GY) c--mp = clump (LU) b--jo = banjo (AN) -r-it = orbit (OB) -re-t = crept (CP) -av-n = raven (RE) mu--c = music (SI) mou-- = mouth (TH)
Alternative Answers
Maize, squad, jewel, boxed, knave, foggy, clomp, banjo, fruit, crept, raven, music, mouth.

Can you find another?

Workings

Hint
Think about the 40%, and how many buses that represents.

Answer
72 buses.

Reasoning
The garage is currently full, with 12 more buses outside.

If we increase the garage space by 40%, there will be enough space to house those 12 buses, plus 12 more in the future, a total of 24 buses.

This means that 40% of the current garage capacity is 24 buses.

Therefore, 10% of the current garage capacity is 6 buses.

Therefore, 100% of the current garage capacity is 60 buses.

So, the current garage holds 60 buses, and there are 12 more outside.

Therefore, we have a total of 72 buses.

Double-Checking
They currently have 72 buses, 12 of which are outside, so 60 are inside.

Increasing the garage space of 60 buses by 40% will give room for 60 x 1.4 = 84 buses.

Which is the 72 they currently own, with space for 12 more buses in the future.

This confirms the answer.