Question:
In order to make a truth table for the following statement:
\[
P \cdot (Q \vee R) \supset (P \equiv Q)
\]
if each truth functional connective is represented by the following letters, what would be the correct order of the columns in solving the truth table?
A. \(\cdot\)
B. \(\vee\)
C. \(\supset\)
D. \(\equiv\)
Choose the correct answer from the options given below:
In order to make a truth table for the following statement:
\[
P \cdot (Q \vee R) \supset (P \equiv Q)
\]
if each truth functional connective is represented by the following letters, what would be the correct order of the columns in solving the truth table?
A. \(\cdot\)
B. \(\vee\)
C. \(\supset\)
D. \(\equiv\)
Choose the correct answer from the options given below:
A. \(\cdot\)
B. \(\vee\)
C. \(\supset\)
D. \(\equiv\)
Choose the correct answer from the options given below:
Show Hint
When constructing truth tables, always follow the hierarchy of logical operations: parentheses, AND, OR, implication, and biconditional.
Updated On: Sep 18, 2025
- A, B, C, D
- B, A, C, D
- C, A, D, B
- C, B, A, D
Hide Solution
Verified By Collegedunia
The Correct Option is A
Solution and Explanation
Step 1: Understanding the statement and truth functional connectives.
We are given a compound logical expression and need to determine the correct order of operations for constructing the truth table. The connectives are: - \(\cdot\) (AND): This operation is evaluated first in the expression. - \(\vee\) (OR): This is used inside the parentheses and should be evaluated next. - \(\supset\) (Implication): This is a conditional operator and follows after the AND and OR. - \(\equiv\) (Biconditional): This is the last operation to evaluate in the statement.
Step 2: Conclusion. The correct order of operations for the truth table is A, B, C, D.
Final Answer: \[ \boxed{\text{The correct answer is 1. A, B, C, D.}} \]
We are given a compound logical expression and need to determine the correct order of operations for constructing the truth table. The connectives are: - \(\cdot\) (AND): This operation is evaluated first in the expression. - \(\vee\) (OR): This is used inside the parentheses and should be evaluated next. - \(\supset\) (Implication): This is a conditional operator and follows after the AND and OR. - \(\equiv\) (Biconditional): This is the last operation to evaluate in the statement.
Step 2: Conclusion. The correct order of operations for the truth table is A, B, C, D.
Final Answer: \[ \boxed{\text{The correct answer is 1. A, B, C, D.}} \]
Was this answer helpful?
0
0
Top Questions on Logical Reasoning
Disregard commonly known facts. Which conclusion would follow on the basis of given statements only?
Statement (I): Some bottles are car. Some cars are cycle.
Conclusion: \[\begin{array}{rl} \bullet & \text{[(I)] Some bottles are cycle is a possibility.} \\ \bullet & \text{[(II)] All bottles are cycle.} \\ \end{array}\]
- CUET (PG) - 2025
- General
- Logical Reasoning
- There are five men - A, B, C, D and E, six women - P, Q, R, S, T and Z, A, B, and R are advocates. S, Q, P, D and C are doctors and the rest are teachers. A team has to be selected from these eleven persons subject to the following conditions: \[\begin{array}{rl} \bullet & \text{[(I)] A, P and Z have to be together.} \\ \bullet & \text{[(II)] B cannot go with D or R.} \\ \bullet & \text{[(III)] E and Q have to be together.} \\ \bullet & \text{[(IV)] C and T have to be together.} \\ \bullet & \text{[(V)] D and P cannot go together.} \\ \bullet & \text{[(VI)] C cannot go with Q.} \\ \end{array}\] If the team formed consists of two male advocates, two lady doctors and one teacher, the members of the team can be:
- CUET (PG) - 2025
- General
- Logical Reasoning
- If a group comprises of five persons A, B, C, D and E, then how many persons are taller than E?
Statement (I): A is taller than B and B is shorter than A and E only.
Statement (II): C is shorter than A and A is shorter than E.- CUET (PG) - 2025
- General Management
- Logical Reasoning
- Eight boxes - A, B, C, D, P, Q, R and S are stacked vertically but not necessarily in the same order. Which among them is kept immediately above R?
Statement (I): Only three boxes are kept above D and only one box is kept between D and Q. Q is kept lower than D and is immediately below P.
Statement (II): Only one box is kept between A and C. C is kept three boxes above Q. As many boxes are kept above B as are kept below R.- CUET (PG) - 2025
- General Management
- Logical Reasoning
- P, Q, R, S, T, A and B are consecutive integers (not necessarily in that order), such that the smallest of these is greater than 60 and the greatest is less than 70. It is known that:
(I) A and B both are prime numbers.
(II) T is a multiple of 9.
(III) Both the digits of P are same.
(IV) The average of R and S is 63 and the difference between R and S is 2.
What is the sum of A and Q if A is smaller than B?- CUET (PG) - 2025
- General Management
- Logical Reasoning
View More Questions
Questions Asked in CUET exam
- Pointing to a man, Rani says, "He is the son of my mother's only daughter.” How is the man related to Rani?
- CUET (UG) - 2025
- Blood Relations
- The feasible region is bounded by the inequalities: \[ 3x + y \geq 90, \quad x + 4y \geq 100, \quad 2x + y \leq 180, \quad x, y \geq 0 \] If the objective function is $ Z = px + qy $ and $ Z $ is maximized at points $ (6, 18) $ and $ (0, 30) $, then the relationship between $ p $ and $ q $ is:
- CUET (UG) - 2025
- Linear Programming
- Find the missing term in the series:
3, 6, 11, 18, 27, ?- CUET (UG) - 2025
- Number Series
- A and B can complete a task in the ratio 3:2. If together they complete the task in 20 days, how long will A alone take?
- CUET (UG) - 2025
- Time and Work
- A person walks 10 m North, then turns right and walks 5 m, then turns right again and walks 10 m. What direction is he facing now?
- CUET (UG) - 2025
- Direction sense
View More Questions