Comprehension
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.
Conditions:
1. If Gabino is kept in pen 1, then Daffy is not kept in pen 2.
2. If Daffy is not kept in pen 2, then Gabino is kept in pen 1.
3. If Ashlen is kept in pen 2, then Blakely is not kept in pen 2.
4. If Blakely is kept in pen 1, then Ashlen is not kept in pen 1.
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.
Conditions:
1. If Gabino is kept in pen 1, then Daffy is not kept in pen 2.
2. If Daffy is not kept in pen 2, then Gabino is kept in pen 1.
3. If Ashlen is kept in pen 2, then Blakely is not kept in pen 2.
4. If Blakely is kept in pen 1, then Ashlen is not kept in pen 1.
Question: 1
Which of the following groups of puppies could be in pen 2?
Which of the following groups of puppies could be in pen 2?
Show Hint
Always rewrite conditions in simpler logical form. Here, the strongest constraints were (1) G and D must be together in Pen 1, and (2) A and B must be in opposite pens.
Updated On: Aug 25, 2025
- Gabino, Daffy, Custard, Earl
- Blakely, Gabino, Ashlen, Daffy
- Ashlen, Gabino, Earl, Custard
- Blakely, Custard, Earl, Fala
- Gabino, Ashlen, Fala, Earl
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The Correct Option is D
Solution and Explanation
Step 1: Assign shorthand
Let us denote the puppies as A (Ashlen), B (Blakely), C (Custard), D (Daffy), E (Earl), F (Fala), G (Gabino).
Step 2: Apply given conditions
- If G is in Pen 1, then D is not in Pen 2 \(\Rightarrow\) G and D must be together in Pen 1.
- If D is not in Pen 2, then G must be in Pen 1 \(\Rightarrow\) confirms both G and D in Pen 1.
- If A is in Pen 2, then B cannot be in Pen 2 \(\Rightarrow\) A and B cannot be in the same pen.
- If B is in Pen 1, then A cannot be in Pen 1 \(\Rightarrow\) again, A and B must be in opposite pens.
Step 3: Construct possibilities
Pen 1 must contain G and D together. The third member of Pen 1 could be either A or B (depending on constraints). Checking all valid distributions, only in Case II (from the explanation table), Pen 2 is \(\{B, C, E, F\}\) \(\Rightarrow\) Blakely, Custard, Earl, Fala.
Step 4: Match with options
This matches exactly with Option D. \[ \boxed{\text{Blakely, Custard, Earl, Fala}} \]
Step 2: Apply given conditions
- If G is in Pen 1, then D is not in Pen 2 \(\Rightarrow\) G and D must be together in Pen 1.
- If D is not in Pen 2, then G must be in Pen 1 \(\Rightarrow\) confirms both G and D in Pen 1.
- If A is in Pen 2, then B cannot be in Pen 2 \(\Rightarrow\) A and B cannot be in the same pen.
- If B is in Pen 1, then A cannot be in Pen 1 \(\Rightarrow\) again, A and B must be in opposite pens.
Step 3: Construct possibilities
Pen 1 must contain G and D together. The third member of Pen 1 could be either A or B (depending on constraints). Checking all valid distributions, only in Case II (from the explanation table), Pen 2 is \(\{B, C, E, F\}\) \(\Rightarrow\) Blakely, Custard, Earl, Fala.
Step 4: Match with options
This matches exactly with Option D. \[ \boxed{\text{Blakely, Custard, Earl, Fala}} \]
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Question: 2
If Earl shares a pen with Fala, then which of the following MUST be true?
If Earl shares a pen with Fala, then which of the following MUST be true?
Show Hint
When a condition introduces grouping (like “Earl and Fala together”), check consistency across all cases. The common factor across cases gives the MUST-BE true statement.
Updated On: Aug 25, 2025
- Gabino is in pen 1 with Daffy
- Custard is in pen 2
- Blakely is in pen 2 and Fala is in pen 1
- Earl is in pen 1
- Gabino shares a pen with Blakely
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The Correct Option is B
Solution and Explanation
N/A
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Question: 3
If Earl and Fala are in different pens, then which of the following must NOT be true?
If Earl and Fala are in different pens, then which of the following must NOT be true?
Show Hint
When asked “must NOT be true,” eliminate by checking all valid cases. If even one case makes it false, it is not guaranteed; but if all cases make it false, then that’s the correct answer.
Updated On: Aug 25, 2025
- Fala shares a pen with Custard.
- Gabino shares a pen with Ashlen.
- Earl is in a higher-numbered pen than Blakely.
- Blakely shares pen 2 with Earl and Daffy.
- Custard is in a higher-numbered pen than Fala.
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The Correct Option is
Solution and Explanation
N/A
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