instruction:
In this task, you need to provide the correct option for a given problem from the provided options.
question:
Problem: what is the characteristic of the logarithm of 0.0000134 ? 
Options: a ) 5 , b ) - 5 , c ) 6 , d ) - 6 , e ) 7
answer:
b


question:
Problem: set a consists of the integers from 4 to 15 , inclusive , while set b consists of the integers from 7 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 ) 10
answer:
d


question:
Problem: in a circuit board factory , all circuit boards that pass a verification process are certified . every board that fails the verification process is indeed faulty , but 1 / 8 of those that pass are also faulty . approximately how many faulty circuit boards exist in a group of 3200 circuit boards where 64 fail inspection ? 
Options: a ) 72 , b ) 192 , c ) 456 , d ) 256 , e ) 264
answer:

c