Management Aptitude Test Dec 2019 Paper

Question : 109 of 200

Marks: +1, -0

A can contain

90 {\L}

of milk. A procedure of drawing

9 {\L}

of solution from milk and adding the same quantity of water is followed. How many times such a process should be repeated such that the can would contain

65.61 {\L}

of milk?

Validate

Solution:

Milk left in the milk after

n

operations

=x(1-{y}/{x})^{n}

Here,

x=90 {\L}

and

y=9 {\L}

⇒ 65.61=90(1-{9}/{90})^{n}=90({81}/{90})^{n}

⇒65.61=90({9}/{10})^{n}

⇒({9}/{10})^{n}={65.61}/{90}=0.729

⇒({9}/{10})^{n}={729}/{1000}=({9}/{10})^{3}

⇒n=3

Go to Question:

Prev Question

Next Question