Aptitude - Alligation or Mixture - Discussion
Discussion Forum : Alligation or Mixture - General Questions (Q.No. 8)
8.
A container contains 40 litres of milk. From this container 4 litres of milk was taken out and replaced by water. This process was repeated further two times. How much milk is now contained by the container?
Answer: Option
Explanation:
Amount of milk left after 3 operations = | ![]() |
40 | ![]() |
1 - | 4 | ![]() |
3 | ![]() |
40 |
= | ![]() |
40 x | 9 | x | 9 | x | 9 | ![]() |
= 29.16 litres. |
10 | 10 | 10 |
Discussion:
67 comments Page 1 of 7.
Anil said:
2 decades ago
How it is possible. Please explain.
Umesh said:
2 decades ago
I'm also confused.
Nlff said:
1 decade ago
The description of the problem is ambiguous.
Nikki said:
1 decade ago
Its a formula.
Priya said:
1 decade ago
It's-
[a(1-x/a)n]
here a=initial quantity,
x=quantity taken out,
n=raised power of small bracket (no. of action
repeated)
[a(1-x/a)n]
here a=initial quantity,
x=quantity taken out,
n=raised power of small bracket (no. of action
repeated)
Ram Prakash Keshri said:
1 decade ago
Not getting the way its solved.
Hary said:
1 decade ago
Could any body provide the procedure for solving it in another way rather than mugging up the formula.
Sravya said:
1 decade ago
Dont mind this is too long but i have a procedure to explain
Consider 3 times added water as 3 cases
case 1:after removal of milk and addition of water
water,milk are 4,36 lit ratio is 1:9
case2:when 4 lit are removed in that mix water,milk are (1/10)*4,(9/10)*4 of that mix
so presently water=4-2/5=18/5,milk=36-18/5=162/5
after addition of water,milk is same quantity but water=(18/5)+4
=38/4
case3:now ratio of water,milk=38:162=19:81
after removal of water,water,milk are (19/100)*4,(81/100)*4
so 19/25, 81/25
now milk=(162/5)-(81/25)=729/25=29.16 lit
antha length vodu anna dilogue gurthostundi kada so its simple to remember formula its better if we have only 1 or 2 cases
Consider 3 times added water as 3 cases
case 1:after removal of milk and addition of water
water,milk are 4,36 lit ratio is 1:9
case2:when 4 lit are removed in that mix water,milk are (1/10)*4,(9/10)*4 of that mix
so presently water=4-2/5=18/5,milk=36-18/5=162/5
after addition of water,milk is same quantity but water=(18/5)+4
=38/4
case3:now ratio of water,milk=38:162=19:81
after removal of water,water,milk are (19/100)*4,(81/100)*4
so 19/25, 81/25
now milk=(162/5)-(81/25)=729/25=29.16 lit
antha length vodu anna dilogue gurthostundi kada so its simple to remember formula its better if we have only 1 or 2 cases
M.v.krishna said:
1 decade ago
Given amount of milk = 40 lit.
Amount of milk taken out = 4 lit.
Remaining milk = 36 lit.
Given it is replaced with water and process repeated for twice.
Let us consider it is not replaced with water and process repeated for twice.
Then amount of milk = 36-4-4 = 28 lit.
Now logic:.
Now let us consider it is replaced with water and process repeated for twice.
Because of mixing water and taking 4 lit out from mixture, the amount of milk should be grater than 28 lit.
Only option (d) is greater than 28 lit.
Amount of milk taken out = 4 lit.
Remaining milk = 36 lit.
Given it is replaced with water and process repeated for twice.
Let us consider it is not replaced with water and process repeated for twice.
Then amount of milk = 36-4-4 = 28 lit.
Now logic:.
Now let us consider it is replaced with water and process repeated for twice.
Because of mixing water and taking 4 lit out from mixture, the amount of milk should be grater than 28 lit.
Only option (d) is greater than 28 lit.
SANTHOSH said:
1 decade ago
Krishna your logic is good.
Post your comments here:
Quick links
Quantitative Aptitude
Verbal (English)
Reasoning
Programming
Interview
Placement Papers