In this task, you need to answer the given multiple-choice question on geometry. Classify your answers into 'a', 'b', 'c', 'd', and 'e'.
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Question: Problem: if g is the smallest positive integer such that 3150 multiplied by g is the square of an integer , then g must be 
Options: a ) 2 , b ) 5 , c ) 6 , d ) 7 , e ) 14

Answer: e


Question: Problem: the perimeter of an isosceles right triangle is 10 + 10 sq rt 2 . what is the length of the hypotenuse of the triangle ? 
Options: a ) 5 , b ) 6 , c ) 7.07 , d ) 8 , e ) 9

Answer: c


Question: Problem: if the length of the side of a square is doubled , what is the ratio of the areas of the original square to the area of the new square ? 
Options: ['a ) 1 : 4', 'b ) 2 : 4', 'c ) 3 : 4', 'd ) 4 : 4', 'e ) 5 : 4']

Answer:
a