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'.
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Question: Problem: if 2 ^ ( 2 w ) = 8 ^ ( w − 3 ) , what is the value of w ? 
Options: a ) 3 , b ) 6 , c ) 9 , d ) 12 , e ) 15

Answer: c


Question: Problem: a & b started a partnership business . a ' s investment was thrice the investment of b and the period of his investment was two times the period of investments of b . if b received rs 4500 as profit , what is their total profit ? 
Options: a ) 28000 , b ) 30000 , c ) 31500 , d ) 34000 , e ) none of these

Answer: c


Question: Problem: the product of two numbers is 2028 and their h . c . f is 13 . the number of such pairs is : 
Options: a ) 1 , b ) 2 , c ) 3 , d ) 4 , e ) 5

Answer:
b