Question

Consider three mixtures - the first having water and liquid A in the ratio 1 : 2, the second having water and liquid B in the ratio 1 : 3, and the third having water and liquid C in the ratio 1 : 4. These three mixtures of A, B, and C, respectively, are further mixed in the proportion 4:3:2. Then the resulting mixture has

• A. The same amount of water and liquid B
• B. The same amount of liquids B and C
• C. More water than liquid B
• D. More water than liquid A

Answer 1

Answer: (C)

More water than liquid B

Answer 2

The correct answer is (C):
First mixture has 2/3rds A and the rest water. Second mixture has 3/4ths B and the rest water. Third mixture has 4/5ths C and the rest water.
The 3 mixtures are mixed in the ratio 4 : 3 : 2. Let's say we get a 1 litre mixture containing the three mixtures.
There will be 4/9(2/3)rd A, 3/9(3/4)th B and 2/3(4/5)th
C. (the remaining part would be water)
8/27 litres A, 9/36 litres B, 8/45 litres C
Water = 1-[8/27+9/36+8/45] = 149/540 litres
We can see that 149/540<8/27 and 149/540>9/36
∴ There is more water than B in the resultant solution.