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

[Q]: Problem: log 3 n + log 15 n what is 3 digit number n that will be whole number 
Options: a ) 3375 , b ) 7292 , c ) 8291 , d ) 3929 , e ) 2727
[A]: a


[Q]: Problem: two vessels having volumes in the ratio 3 : 5 are filled with water and milk solutions . the ratio of milk and water in the two vessels are 2 : 3 and 3 : 1 respectively . if the contents of both the vessel are empties into a larger vessel , find the ratio of milk and water in the larger vessel . 
Options: a ) 99 : 61 , b ) 99 : 160 , c ) 61 : 160 , d ) 61 : 99 , e ) 99 : 160
[A]: a


[Q]: Problem: john would make the 3 - letter codes with 26 alphabets in condition that the middle letter must be vowel and the first letter and the third letter must be different from each other and both are consonant . how many cases of the codes are there ? 
Options: a ) 1,980 , b ) 2,020 , c ) 2,100 , d ) 2,200 , e ) 2,500
[A]:
c