TASK DEFINITION: In this task, you need to provide the correct option for a given problem from the provided options.
PROBLEM: Problem: an order was placed for the supply of a carper whose length and breadth were in the ratio of 3 : 2 . subsequently , the dimensions of the carpet were altered such that its length and breadth were in the ratio 7 : 3 but were was no change in its parameter . find the ratio of the areas of the carpets in both the ?
Options: a ) 8 : 6 , b ) 8 : 7 , c ) 8 : 1 , d ) 8 : 2 , e ) 8 : 4

SOLUTION: b

PROBLEM: Problem: there are two positive numbers in the ratio 3 : 11 . if the larger number exceeds the smaller by 32 , then what is the smaller number ?
Options: a ) 8 , b ) 11 , c ) 12 , d ) 15 , e ) 17

SOLUTION: c

PROBLEM: Problem: a ratio between two numbers is 3 : 4 and their l . c . m . is 84 . the first number is
Options: a ) 60 , b ) 45 , c ) 21 , d ) 15 , e ) none

SOLUTION:
c