instruction:
In this task, you need to provide the correct option for a given problem from the provided options.
question:
Problem: how many prime numbers between 1 and 100 are factors of 67830 ?
Options: a ) 4 , b ) 5 , c ) 6 , d ) 3 , e ) 2
answer:
c

question:
Problem: in a class of boys and girls vikas ' s rank is 9 th and tanvi ' s rank is 17 th . vikas ' s rank among the boys in that class is 4 th from the top and 18 th from the bottom and tanvi ' s rank among the girls is 8 th from top and 21 st from bottom . in the order of rank , how many girls are there between tanvi and vikas ?
Options: a ) 29 , b ) 8 , c ) 2 , d ) 4 , e ) 6
answer:
c

question:
Problem: a bag contains 12 red marbles . if someone were to remove 2 marbles from the bag , one at a time , and replace the first marble after it was removed , the probability that neither marble would be red is 49 / 64 . how many marbles are in the bag ?
Options: a ) 24 , b ) 48 , c ) 60 , d ) 96 , e ) 84
answer:
d