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'.

Q: Problem: village p ’ s population is 1200 greater than village q ' s population . if village q ’ s population were reduced by 800 people , then village p ’ s population would be 6 times as large as village q ' s population . what is village q ' s current population ? 
Options: a ) 1050 , b ) 1100 , c ) 1150 , d ) 1200 , e ) 1250

A: d
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Q: Problem: √ ( 36 ) ^ 2 
Options: a ) 6 , b ) 14 , c ) 36 , d ) 21 , e ) none of these

A: c
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Q: Problem: an engineer designed a ball so that when it was dropped , it rose with each bounce exactly one - half as high as it had fallen . the engineer dropped the ball from a 32 - meter platform and caught it after it had traveled 46.5 meters . how many times did the ball bounce ? 
Options: a ) 4 , b ) 6 , c ) 7 , d ) 8 , e ) 9

A:
a
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