Instructions

Questions are based on a  set of conditions. In answering some of the questions, it may  be useful to draw a rough diagram. Choose the response that  most accurately and completely answers each question.

In a local pet store, seven puppies wait to be introduced to their new owners. The puppies, named Ashlen, Blakely, Custard, Daffy, Earl, Fala and Gabino, are all kept in two  available pens. Pen 1 holds three puppies, and pen 2 holds four puppies.

If Gabino is kept in pen 1, then Daffy is not kept in pen 2.
If Daffy is not kept in pen 2, then Gabino is kept in pen 1.
If Ashlen is kept in pen 2, then Blakely is not kept in pen 2.
If Blakely is kept in pen 1, then Ashlen is not kept in pen 1.

Question 33

# If Earl shares a pen with Fala, then which of the following MUST be true?

Solution

Let us name the puppies as A, B, D, D, E, F and G on the basis of the first alphabet of their name. From the first two statements we can infer that G and D must be in the same pen. From the last two statements we can infer that A and B must be in different pens. Any other information is not provided. So, we have to make cases for different possibilities:

If Earl shares a pen with Fala, cases I, II, III and VI are applicable. In all these cases, Custard is in pen 2.
Option A is violated in case III.
Option C is violated in cases I, II and VI.
Option D is violated in cases I and II.
Option E is violated in cases II and VI.
Hence, option B is the correct answer.