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

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

Problem: set a consists of the integers from 4 to 17 , inclusive , while set b consists of the integers from 6 to 20 , inclusive . how many distinct integers do belong to the both sets at the same time ? 
Options: a ) 5 , b ) 7 , c ) 8 , d ) 9 , e ) 12
e

Problem: the ratio of boys to girls is 6 : 4.60 % of the boys and 40 % of girls take lunch in the canteen . what % of class takes lunch ? 
Options: a ) 51 % , b ) 52 % , c ) 53 % , d ) 54 % , e ) 55 %

b