instruction:
In this task, you need to answer the given multiple-choice question on the general math. Classify your answers into 'a', 'b', 'c', 'd', and 'e'.
question:
Problem: for a certain exam , a score of 60 was 2 standard deviations below mean and a score of 100 was 3 standard deviations above mean . what was the mean score for the exam ?
Options: a ) 74 , b ) 76 , c ) 78 , d ) 80 , e ) 82
answer:
b

question:
Problem: how many positive integers less than 1000 are multiples of 5 but not of 4 or 7 ?
Options: a ) 114 , b ) 121 , c ) 122 , d ) 129 , e ) 136
answer:
c

question:
Problem: each of 3 charities in novel grove estates has 8 persons serving on its board of directors . if exactly 4 persons serve on 3 boards each and each pair of charities has 5 persons in common on their boards of directors , then how many distinct persons serve on one or more boards of directors ? a . b . c . d . e .
Options: a ) 8 , b ) 13 , c ) 16 , d ) 24 , e ) 27
answer:
b