Math Puzzles Questions

Let 1310 = x 

=> 3x = 10

Given that 125=3

Therefore, 52x = 10 

=> x = 10/3 = 4.

This can be done in two ways

1. A to G : 2, 3, 7, 6, 5, 1, 4 

2. A to G : 4, 3, 7, 5, 6, 2, 1

The logic in the challenge is

 81x6 = 9x6 = 54

144x7=84

Similarly, 64x8 = 8x8 = 64.

Here by observing the figure, 

we can complete the above incomplete cube with 2 cubes in 2 rows and 2 columns

=> 2 x 4 = 8.

Hence, with 8 small cubes we can complete the cube.

The key to this math riddle is realizing that the one place must be zero.
888 +88 +8 +8 +8 =1,000

Let the 5 digit number be represented by abcde.

Then the 6 digit number, 1abcde x 3 = abcde1 (another 6 digit number)

Now let Y = abcde

Then (100000 + Y) x 3 = (Y x 10) + 1

300000 + 3Y = 10Y + 1

7Y = 299999

Y = 299999 ÷ 7 = 42857

From the given data,

18 snakes can eat 18 bananas in 18 hrs.

=> 1 snake can eat 1 banana in 18 hrs

=> 79 snakes can eat 79 bananas in 18 hrs.

Hence, 18 hrs.