A vessel has 200 litre of milk and 40 litre of water. If ________ litres of…
2018
A vessel has 200 litre of milk and 40 litre of water. If ________ litres of mixture is taken from the vessel and ________ litres of water is added to the remaining mixture, then the final amount of milk in the vessel becomes 125 litre more than the amount of water in it. Which of the following integral values given in the options are possible in the blanks in same order?
(A) (36, 11)
(B) (30, 15)
(C) (42, 12)
(D) (24, 19)
(E) (18, 24)
- A.
only A
- B.
only A, B and E
- C.
only A and B
- D.
only A, B and D
- E.
All four are possible
Attempted by 1 students.
Show answer & explanation
Correct answer: D
The original milk:water ratio is 200:40 = 5:1. If x litres of mixture is removed, milk removed is 5x/6 and water removed is x/6.
After adding y litres of water, milk - water = (200 - 5x/6) - (40 - x/6 + y) = 160 - 2x/3 - y.
The required difference is 125, so 2x/3 + y = 35. A gives 24 + 11 = 35, B gives 20 + 15 = 35, and D gives 16 + 19 = 35. C and E do not satisfy the condition.