Random Puzzles 

Workings

Hint
Adding 900,000 to the numbner is the same as placing a 9 at the beginning.

Answer
23,076.

Reasoning
Placing the 9 at the beginning is equivalent to adding 900,000 (for example, 12,345 + 900,000 becomes 912,345).

Placing the 9 at the end is equivalent to multiplying by 10 and adding 9 (for example, 12,345 x 10 + 9 becomes 123,459).

Let's call the unknown number k, and we know that one of these numbers is 4 times the other, so:

 k + 900,000 = 4 x (10k + 9)

 k + 900,000 = 40k + 36

900,000 − 36 = 40k − k

     899,964 = 39k

899,964 ÷ 39 = k

Therefore, k = 23,076.

Double-Checking
923,076 = 4 x 230,769.

Workings

Hint
One of the animals is mouse.

Answer
Mouse, deer, rabbit, cat.

Workings

Answer
726: (n! + n).

Workings

Hint
A dollar is 100 cents, a quarter is 25 cents and a dime is 10 cents.

Answer
⁷/₂₇ of each coin was missing.

Reasoning
The original value of the three coins was 100 + 25 + 10 = 135 cents, and the new value was 100 cents.

Therefore, ³⁵/₁₃₅ = ⁷/₂₇ of the original value has been removed.