Random Puzzles 

Workings

Hint
28,121 isn't a prime number.

Answer
61 bags.

Reasoning
Each bag contains 461 carrots.

How do we find the correct answer? An easy way is to keep dividing 28,121 by the prime numbers in sequence until one works.

2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61.

Workings

Hint
Going down and across the floor isn't the only route.

Answer
40 feet.

Explanation Diagram
If you imagine the room to be a cardboard box, you can 'unfold' the room in various ways, and each route gives a different answer.



We can use Pythagoras' theorem (a² + b² = c²) to calculate the distances:
   distance² = horizontal² + vertical²
   distance = √(horizontal² + vertical²)

Route #1
   distance = 1 + 30 + 11 = 42 feet.

Route #2
   horizontal = 6 + 30 + 6 = 42 feet.
   vertical = 10 feet.
   distance = √(42² + 10²) ≈ 43.174 feet.

Route #3
   horizontal = 1 + 30 + 6 = 37 feet.
   vertical = 6 + 11 = 17 feet.
   distance = √(37² + 17²) ≈ 43.178 feet.

Route #4
   horizontal = 1 + 30 + 1 = 32 feet.
   vertical = 6 + 12 + 6 = 24 feet.
   distance = √(32² + 24²) = 40 feet.

Workings

Hint
Think laterally.

Answer
Simply rotate it 180 degrees!

Workings

Hint
Eight is at the end of another word.

Answer
Having salmON Every day for lunch gets a little boring after a while. Meeting friends after work allows executives to neTWOrk effectively. The robins love hiding amongst the smooTH REEds. We need to waterprooF OUR boots to make sure we don't get wet. To avoid the clifF, I VEered sharply to the left. The orchestra sounded magnificent with the three virtuoSI Xylophonists. It's always worth looking after your friendS, EVEN if they've upset you. Even heavywEIGHT boxers like using soft tissues when they have a cold. The eggs were boxed thirteen instead of a dozeN IN Each baker's delivery box. The atTENdance at the local football match exceeded last week's by many thousands.