In this task, you need to provide the correct option for a given problem from the provided options.
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Question: Problem: the h . c . f . of two numbers is 32 and the other two factors of their l . c . m . are 13 and 14 . the larger of the two numbers is : 
Options: a ) 448 , b ) 299 , c ) 421 , d ) 460 , e ) 365

Answer: a


Question: Problem: the ratio of number of boys and girls in a school is 2 : 5 . if there are 490 students in the school , find the number of girls in the school ? 
Options: a ) 150 , b ) 350 , c ) 300 , d ) 370 , e ) 280

Answer: b


Question: Problem: a hen leaps 6 leaps for every 8 leaps of a duck , but 4 leaps of the duck are equal to 3 leaps of the hen . what is the ratio of the speed of the hen to that of the duck ? 
Options: a ) 1 : 1 , b ) 3 : 8 , c ) 4 : 3 , d ) 8 : 9 , e ) 1 : 3

Answer:
a