TASK DEFINITION: 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'.
PROBLEM: Problem: a car traveled 80 % of the way from town x to town y at an average speed of 80 mph . the car traveled at an average speed of v mph for the remaining part of the trip . the average speed for the entire trip was 50 mph . what is v in mph ? 
Options: a ) 25 , b ) 35 , c ) 45 , d ) 55 , e ) 20

SOLUTION: e

PROBLEM: Problem: if ( a – b ) is 9 more than ( c + d ) and ( a + b ) is 3 less than ( c – d ) , then ( a – c ) is : 
Options: a ) 6 , b ) 2 , c ) 3 , d ) 4 , e ) 5

SOLUTION: c

PROBLEM: Problem: for any positive number x , the function [ x ] denotes the greatest integer less than or equal to x . for example , [ 1 ] = 1 , [ 1.367 ] = 1 and [ 1.988 ] = 1 . if k is a positive integer such that k ^ 2 is divisible by 45 and 80 , what is the units digit of k ^ 3 / 4000 ? 
Options: a ) 0 , b ) 1 , c ) 27 , d ) 54 , e ) can not be determined

SOLUTION:
a