An animal shelter began the day Tuesday with a ratio of 5 cats for every 11 dogs. If no new animals arrived at the shelt

[Vincen]

An animal shelter began the day Tuesday with a ratio of 5 cats for every 11 dogs. If no new animals arrived at the shelter, and the only animals that left the shelter were those that were adopted, what was the ratio of cats to dogs at the end of the day Tuesday?

(1) No cats were adopted on Tuesday.

(2) 4 dogs were adopted on Tuesday.

[spoiler]OA=E[/spoiler]

Source: Veritas Prep

[deloitte247]

The ratio of cats to dogs = 5:11
Target question=> What was the ratio of cats to dogs at the end of the day Tuesday?
Statement 1: No cats were adopted on Tuesday
No information was provided on the number of adopted dogs. Hence, the target question cannot be answered. Thus, statement 1 is NOT SUFFICIENT.

Statement 2: 4 dogs were adopted on Tuesday.
No information was provided on the number of adopted days. Hence, the target question cannot be evaluated. Statement 2 is also NOT SUFFICIENT.

Combining both statements together:
Let the total number of animals at the beginning of Tuesday = x
The ratio of cats to dogs =5x:11x
From statement 1: 0 cat was adopted on Tuesday
From statement 2: 4 dogs were adopted on Tuesday
The ratio of cats to dogs at the end of Tuesday =>
$$\frac{cats}{dogs}=\frac{5x-0}{11x-4}=\frac{5x}{11x-4}$$
Cats : dogs = (5x) : (11x-4)
The value of x is unknown. Hence, the target question cannot be evaluated and both statements combined together are NOT SUFFICIENT.

Answer = option E