TASK DEFINITION: In this task, you need to provide the correct option for a given problem from the provided options.
PROBLEM: Problem: a certain university will select 1 of 6 candidates eligible to fill a position in the mathematics department and 2 of 9 candidates eligible to fill 2 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 3 candidates are there to fill the 3 positions ? 
Options: a ) 216 , b ) 212 , c ) 214 , d ) 210 , e ) 120

SOLUTION: a

PROBLEM: Problem: at present , the ratio between the ages of shekhar and shobha is 4 : 3 . after 6 years , shekhar ' s age will be 26 years . find out the age of shobha at present ? 
Options: a ) 10 , b ) 12 , c ) 14 , d ) 15 , e ) 20

SOLUTION: d

PROBLEM: Problem: how many of the positive factors of 15 , 45 and how many common factors are there in numbers ? 
Options: a ) 1 , b ) 2 , c ) 3 , d ) 4 , e ) 5

SOLUTION:
c