In this task, you need to provide the correct option for a given problem from the provided options.

Q: Problem: a garrison of 400 men had a provision for 31 days . after 26 days 275 persons re - enforcement leave the garrison . find the number of days for which the remaining ration will be sufficient ? 
Options: a ) 16 days , b ) 45 days , c ) 10 days , d ) 17 days , e ) 18 days

A: a
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Q: Problem: income and expenditure of a person are in the ratio 5 : 4 . if the income of the person is rs . 17000 , then find his savings ? 
Options: a ) 3600 , b ) 3400 , c ) 3608 , d ) 3602 , e ) 3603

A: b
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Q: Problem: if both 5 ^ 3 and 3 ^ 4 are factors of n x ( 2 ^ 5 ) x ( 12 ^ 2 ) x ( 7 ^ 3 ) x ( 10 ^ 2 ) , what is the smallest possible positive value of n ? 
Options: a ) 15 , b ) 45 , c ) 75 , d ) 125 , e ) 150

A:
b
****