TASK DEFINITION: In this task, you need to provide the correct option for a given problem from the provided options.
PROBLEM: Problem: a certain business school has 500 students , and the law school at the same university has 800 students . among these students , there are 30 sibling pairs consisting of 1 business student and 1 law student . if 1 student is selected at random from both schools , what is the probability that a sibling pair is selected ? 
Options: a ) 3 / 40000 , b ) 3 / 20000 , c ) 3 / 4000 , d ) 9 / 400 , e ) 6 / 130

SOLUTION: a

PROBLEM: Problem: what is the characteristic of the logarithm of 0.0000134 ? 
Options: a ) 5 , b ) - 5 , c ) 6 , d ) - 6 , e ) 7

SOLUTION: b

PROBLEM: Problem: a grocery store bought some mangoes at a rate of 5 for a dollar . they were separated into two stacks , one of which was sold at a rate of 5 for a dollar and the other at a rate of 5 for a dollar . what was the ratio of the number of mangoes in the two stacks if the store broke even after having sold all of its mangoes ? 
Options: a ) 1 : 1 , b ) 1 : 5 , c ) 2 : 3 , d ) 1 : 2 , e ) 2 : 5

SOLUTION:
a