PYQ: Logical Connectives

# PYQ: Logical Connectives | Logical Reasoning (LR) and Data Interpretation (DI) - CAT PDF Download

Q1: Based on the statement given below, identify which of the assumption/sis/are implicit:
Vikas says to Harry, "Refer to the Cambridge dictionary instead of Oxford dictionary to be good at English."
Assumption:
I. Harry wants to be good at English.
II. Vikas is a good advisor

(a) Only assumption I is implicit
(b) Only assumption II is implicit
(c) Both assumption I and II are implicit
(d) Neither assumption I nor II is implicit
Ans: (a)
Sol: Only assumption I is implicit. We cannot comment on assumption II. Answer is option A.

Based on the information below, answer the questions which follow. (IIFT 2018)
Richie invites three of his friends Sunny, Pinky and Nancy for his birthday party organised at his home. As the party goes on till late in the night, Sunny, Pinky and Nancy choose to stay at Richie's house. Being good friends they usually stay back at each other's house. Each one of them including Richie stay either in the room painted blue or in the room painted purple. They have adequate number of rooms of both colours. The preferences which need to be fulfilled are:
(i) If Sunny stays in the room painted purple, then Pinky and Richie stay in the same room as Nancy.
(ii) If Pinky stays in the room painted purple, then Sunny stays in the room in which Nancy and Richie don't stay.
(iii) if Nancy stays in the room painted blue, then Sunny and Richie stay in the room which Pinky has chosen.
(iv) If Richie stays in the room painted Blue then Sunny and Pinky do not stay in the same room as Nancy.
Q2: Under all possible combinations which of the two friends will always have their room colours unchanged.
(a) Richie & Sunny
(b) Pinky & Richie
(c) Nancy & Sunny
(d) Nancy & Pinky
Ans: (c)
Sol: The following table can be made using the given 4 conditions:

Case 2a, 3a and 4a violates condition I, so these 3 cases are invalid.
Case 1a, 1b violates condition iii, so these cases are invalid.
Case 3b violates condition iv, so this case is invalid.
Finally we have the following two cases:

Nancy & Sunny.
Hence, option (c).

Q3: If Richie chose to stay in the room painted blue, then in which room does Pinky stay?
(a) Purple
(b) Blue
(d) None of the above
Ans:
(a)
Sol: The following table can be made using the given 4 conditions:

Case 2a, 3a and 4a violates condition I, so these 3 cases are invalid.
Case 1a, 1b violates condition iii, so these cases are invalid.
Case 3b violates condition iv, so this case is invalid.
Finally we have the following two cases:
Hence, option (a).

Q4: If Pinky does not like to stay in the blue painted room, then where will Sunny stay?
(a) Blue
(b) Purple
(d) None of the above
Ans:
(a)
Sol: The following table can be made using the given 4 conditions:

Case 2a, 3a and 4a violates condition I, so these 3 cases are invalid.
Case 1a, 1b violates condition iii, so these cases are invalid.
Case 3b violates condition iv, so this case is invalid.
Finally we have the following two cases:

Hence, option (a).

Q5: Based on the given statement, choose the right conclusion: (2015)
‘If the breakfast doesn’t have eggs, I will not go for a walk and will not have lunch.’
(a) If I went for a walk and didn’t have lunch, the breakfast didn’t have eggs.
(b) If I went for a walk or I had lunch, the breakfast had eggs.
(c) If I went for a walk or I had no lunch, the breakfast had eggs.
(d) If I didn’t go for a walk and had lunch, the breakfast had eggs.
Ans:
(b)
Sol:
Let,
A = The breakfast doesn't have eggs
B = I will not go for a walk and will not have lunch.
From the logical deductions,
AB = ~B~A
Also, and is replaced by or and vice versa.
So,
~A = The breakfast has eggs.
~B = I will go for a walk or will have lunch.
So, we get,
~B~A = I will go for a walk or will have lunch, the breakfast has eggs.
Hence, option (b).

Q6: Find the statement which is necessarily true according to the given information: (IIFT 2013)
The Asatra Vriksh is an evergreen tree that grows in the Nilgiris. The Asatra Vriksh has a fleshy, poisonous fruit. Recently, Purol, a substance found in the bark of the Asatra Vriksh, was discovered to be a promising new antidepressant drug.
(a) Purol is poisonous when taken by healthy people.
(b) Purol has cured people from various diseases.
(c) People should not eat the fruit of Asatra Vriksh.
(d) No treatment for depression was known till Purol was discovered.
Ans: (c)
Sol:
Option 1 is incorrect as the passage clearly mentions that the fruit of the tree is poisonous not Purol.
According to the passage, Purol only has anti-depressant properties. This eliminates option 2.
According to the passage, Purol is a “promising new drug”. This indicates that drugs treating depression existed prior to the discovery of Purol. This eliminates option 4.
Option 3 is necessarily true as according to the passage, “The Asatra Vriksha has a fleshy, poisonous fruit”.
Hence, the correct answer is option 3.

Q7: A research study recorded that the number of unemployed educated youth was equal to the number of unemployed uneducated youth. It was concluded by the researchers that being educated does not enhance the probability of being employed. (IIFT 2013)
Q. Which of the following information would be required to validate the above conclusion?

(a) The number unemployed educated and uneducated people in other age groups.
(b) The number of organisations employing youth.
(c) The percentage of unemployment in educated youth versus percentage of unemployment in uneducated youth.
(d) The percentage increase in number of educated youth versus last year.
Ans: (c)
Sol: The passage is a comparison between the raw data resulting from a study. There were as many unemployed educated youth as unemployed uneducated youth. The conclusion being that education provided no guarantee in securing employment. Option 1 is incorrect because these numbers are not really comparable as this data would not be able to either support or disqualify the findings of the study as option 1 does not pertain to youths. Option 2 is incorrect as just this information would not suffice to prove the study findings. Option 4 is incorrect because it only considers the increased number of educated youth. This is not complete information to support the study findings. Option 3 is correct because the percentage figures would provide comparative data to validate the conclusion mentioned in the passage. Hence, the correct answer is option 3.

The document PYQ: Logical Connectives | Logical Reasoning (LR) and Data Interpretation (DI) - CAT is a part of the CAT Course Logical Reasoning (LR) and Data Interpretation (DI).
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## FAQs on PYQ: Logical Connectives - Logical Reasoning (LR) and Data Interpretation (DI) - CAT

 1. What are logical connectives in CAT?
Ans. Logical connectives in CAT refer to words or symbols that are used to combine or connect different statements or propositions. They help in expressing complex logical relationships between these statements. Examples of logical connectives include "and," "or," "not," "implies," and "if-then."
 2. How are logical connectives used in solving CAT questions?
Ans. Logical connectives are used in solving CAT questions by analyzing the given statements and identifying the relationship between them using these connectives. By understanding how these connectives work, one can determine the validity of arguments, make deductions, and solve logical reasoning questions effectively.
 3. What is the significance of logical connectives in the CAT exam?
Ans. Logical connectives play a crucial role in the CAT exam, particularly in the logical reasoning and data interpretation sections. They help in assessing the logical coherence and consistency of arguments, evaluating the validity of conclusions, and making logical deductions, which are essential skills required for scoring well in these sections.
 4. Can you provide examples of logical connectives used in CAT questions?
Ans. Certainly! Some examples of logical connectives used in CAT questions are: - "If-then" connective: If statement A is true, then statement B must also be true. - "And" connective: Both statement A and statement B are true. - "Or" connective: Either statement A or statement B is true. - "Not" connective: The opposite of statement A is true. - "Implies" connective: Statement A implies that statement B must be true.
 5. How can I improve my understanding and application of logical connectives for the CAT exam?
Ans. To improve your understanding and application of logical connectives, it is recommended to practice solving a variety of logical reasoning questions. Familiarize yourself with the different types of logical connectives and their meanings. Additionally, studying relevant study materials and taking mock tests specifically designed for the CAT exam can help enhance your skills in using logical connectives effectively.

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