Simplify the following:
2(\( \frac{2}{9} \)) × 2(\( \frac{2}{3} \)) × 567 + 8(\( \frac{3}{4} \))
A group of numbers and symbols is coded using letter codes as per the codes given below and the conditions that follow. Study the given codes and conditions and answer the question that follows.
Note: If none of the conditions apply, then codes for the respective number/symbol are to be followed directly as given in the table.
| Number/symbol | 7 | % | 2 | 5 | * | $ | 3 | ^ | # | 4 | + | 6 | 9 | 8 |
| Code | U | G | L | F | B | M | C | H | N | D | J | P | E | K |
Conditions:
I) If the first element is a symbol and the last a number, then the codes for these two (the first and the last elements) are to be interchanged.
II) If the first element is an odd number and the last element is an even number, then the first and last elements are to be coded as @.
III) If both the second and third elements are perfect square roots, the third element is to be coded as the code for the second element.
What will be the code for 536+8?
An electric pump can fill a tank in 4 hours. Due to a leakage in the tank, it takes 9(\( \frac{1}{3} \)) hours to fill the tank. How much time will this leak take to empty the full tank if water does not get in or out of the tank through any other point during this period?