instruction:
In this task, you need to provide the correct option for a given problem from the provided options.
question:
Problem: what is the greatest positive integer n such that 3 ^ n is a factor of 36 ^ 450 ?
Options: a ) 100 , b ) 200 , c ) 300 , d ) 600 , e ) 900
answer:
e

question:
Problem: in what ratio must tea at rs . 65 per kg be mixed with tea at rs . 70 per kg so that the mixture must be worth rs . 6 per kg ?
Options: a ) 1 : 1 , b ) 3 : 2 , c ) 4 : 3 , d ) 5 : 3 , e ) none
answer:
a

question:
Problem: on multiplying a number b by 153 , the result obtained was 102325 . however , it is found that both the 2 ' s are wrong . find the correct result .
Options: a ) 104345 , b ) 107375 , c ) 108385 , d ) 109395 , e ) 105355
answer:
d