In this task, you need to provide the correct option for a given problem from the provided options.

Input: Consider Input: Problem: how many even integers from 1 to 200 ( both inclusive ) have even number of factors ?
Options: a ) 13 , b ) 14 , c ) 5 , d ) 6 , e ) 7

Output: e

Input: Consider Input: Problem: teas worth rs . 126 per kg and rs . 135 per kg are mixed with a third variety in the ratio 1 : 1 : 2 . if the mixture is worth rs 156 per kg , the price of the third variety per kg will be ?
Options: a ) rs . 147.50 , b ) rs . 785.50 , c ) rs . 178.50 , d ) rs . 258.50 , e ) none of these

Output: c

Input: Consider Input: Problem: the ratio of 2 numbers is 10 : 20 and their h . c . f . is 100 . their l . c . m . is ?
Options: a ) 1100 , b ) 3000 , c ) 2100 , d ) 1000 , e ) 2000
Output: e