TASK DEFINITION: In this task, you need to provide the correct option for a given problem from the provided options.
PROBLEM: Problem: if a student loses 5 kilograms , he will weigh twice as much as his sister . together they now weigh 104 kilograms . what is the student ' s present weight in kilograms ? 
Options: a ) 70 , b ) 71 , c ) 72 , d ) 73 , e ) 74

SOLUTION: b

PROBLEM: Problem: a certain university will select 1 of 7 candidates eligible to fill a position in the mathematics department and 3 of 10 candidates eligible to fill 3 identical positions in the computer science department . if none of the candidates is eligible for a position in both departments , how many different sets of 4 candidates are there to fill the 4 positions ? 
Options: a ) 420 , b ) 770 , c ) 840 , d ) 165 , e ) 315

SOLUTION: c

PROBLEM: Problem: if the ratio of apples to bananas is 4 to 3 and the ratio of bananas to cucumbers is 1 to 3 , what is the ratio of apples to cucumbers ? 
Options: a ) 4 : 9 , b ) 4 : 3 , c ) 3 : 7 , d ) 2 : 5 , e ) 1 : 6

SOLUTION:
a