Puzzle:

Two or more essences out of a stock of five essences A, B, C, D, and E are used in making all perfumes by a manufacturer. He has learned that for a blend of essences to be agreeable it should comply with all the rules listed below.

A perfume containing A, should also contain the essence C, and the quantity of C should be twice as that of A.

A perfume containing B, must also have D as one of its components and they should be in equal proportion.

A single perfume should never contain C as well as D.

A perfume containing the essence E should contain E in such a proportion that the total amount of E present should be greater than the total amount of the other essence or essences used.

Adding more amount of essence C will make which of the following perfumes agreeable?
One part A, one part C, five parts E
Two parts B, two parts C, two parts E
One part B, one part C, one part E
Two parts B, one part C, four parts E
Two parts C, one part D, three parts E
Ans : A

Among the following, the addition of which combination would make an unagreeable perfume containing two parts C and one part E agreeable?
One part A
One part B
Two parts C
One part D
Two parts E
Ans : E

Among the following which combination cannot be used together in an agreeable perfume containing two or more essences?
A and B
A and N
A and E
B and D
E and C
Ans : A

Among the below mentioned formulas, which can be made agreeable by the eliminating some or all of one essence ?
One part A, one part B, one part D, four parts E
One part A, two parts C, one part D, four parts E
One part A, one part B, one part D, one part E
Two parts A, two parts C, one part D, two parts E
Two parts B, one part C, two parts D, three parts E
Ans : B