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: when toys are grouped into 12 and 18 , always 3 toys remain ungrouped . what is the minimum number of toys to be added so that when they are grouped into 7 , no toys will remain ungrouped ?
Options: a ) 0 , b ) 1 , c ) 2 , d ) 3 , e ) 4

Answer: d

Question: Problem: the ratio of the ages of mini and minakshi is 4 : 3 . the sum of their ages is 35 years . the ratio of their ages after 8 years will be
Options: a ) 28 : 23 , b ) 6 : 11 , c ) 5 : 4 , d ) 3 : 5 , e ) 7 : 11

Answer: a

Question: Problem: denominator of a number is 4 less than the numerator . if 6 is added to the numerator , it becomes 3 times the denominator . find the denominator .
Options: a ) 1 , b ) 3 , c ) 5 , d ) 7 , e ) 9

Answer:
c