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'.

Ex Input:
Problem: joan and karl each bought a telescopes and the sum of their purchases was $ 400 . if twice of what joan paid was $ 74 more than what karl paid , what did joan pay for her telescope ?
Options: a ) $ 150 , b ) $ 152 , c ) $ 154 , d ) $ 156 , e ) $ 158

Ex Output:
e

Ex Input:
Problem: for any positive integer n , the sum of the first n positive integers equals n ( n + 1 ) / 2 . what is the sum of all the integers between 1 and 50 ?
Options: a ) 1275 , b ) 1542 , c ) 985 , d ) 1024 , e ) 1125

Ex Output:
a

Ex Input:
Problem: what is the value of ( p + q ) / ( p - q ) if p / q is 5 ?
Options: a ) 4 / 3 , b ) 3 / 2 , c ) 2 / 6 , d ) 7 / 8 , e ) 8 / 7

Ex Output:
b