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

[Q]: Problem: the least whole number which when subtracted from both the terms of the ratio 6 : 7 to give a ratio less than 16 : 21 , is 
Options: a ) 3 , b ) 4 , c ) 5 , d ) 6 , e ) 7
[A]: a


[Q]: Problem: a grocery store bought some mangoes at a rate of 5 for a dollar . they were separated into two stacks , one of which was sold at a rate of 3 for a dollar and the other at a rate of 9 for a dollar . what was the ratio of the number of mangoes in the two stacks if the store broke even after having sold all of its mangoes ? 
Options: a ) 1 : 4 , b ) 1 : 5 , c ) 3 : 2 , d ) 1 : 2 , e ) 2 : 5
[A]: c


[Q]: Problem: the h . c . f . of two numbers is 23 and the other two factors of their l . c . m . are 9 and 10 . the larger of the two numbers is : 
Options: a ) 276 , b ) 299 , c ) 230 , d ) 345 , e ) 395
[A]:
c