JAMIA 2023 — Mathematics PYQ

Q: How do I solve JAMIA 2023 Mathematics questions?

Practice JAMIA 2023 Mathematics previous year questions with step-by-step solutions on Mathem Solvex. Each question includes a detailed explanation and video solution to help you master the concept quickly.

Q: What is the difficulty level of JAMIA Mathematics questions?

JAMIA Mathematics questions range from moderate to advanced difficulty. Consistent practice with official previous year papers and topic-wise drills on Mathem Solvex is the most effective preparation strategy.

Q: Are JAMIA previous year papers available for free?

Yes. Mathem Solvex provides free access to JAMIA previous year question papers and topic-wise PDFs. You can download them or attempt them as timed live mock tests directly on the platform.

Question

JAMIA 2023 — Mathematics PYQ

JAMIA | Mathematics | 2023

If P, Q, R have truth values T, T, and F, then the truth values of (𝑃→(𝑄→𝑅))→((𝑃→𝑄)→(𝑃→𝑅)&𝑃→𝑄𝑉𝑅 are

Choose the correct answer:

Explanation

1. Given Truth Values

$P = T$
$Q = T$
$R = F$

2. Expression 1: $(P \to (Q \to R)) \to ((P \to Q) \to (P \to R))$

We will solve this step-by-step:

Part A: $(P \to (Q \to R))$

$(Q \to R) = (T \to F) = F$
$(P \to F) = (T \to F) = F$

Part B: $((P \to Q) \to (P \to R))$

$(P \to Q) = (T \to T) = T$
$(P \to R) = (T \to F) = F$
$(T \to F) = F$

Full Expression:

$F \to F = T$

Truth Value of First Expression:

V[(P \to (Q \to R)) \to ((P \to Q) \to (P \to R))] = T

3. Expression 2: $P \to Q \lor R$

Now, we solve the second part:

$Q \lor R = (T \lor F) = T$
$P \to T = (T \to T) = T$

Truth Value of Second Expression:

V[P \to Q \lor R] = T

4. Final Answer

Based on the values provided ( $P=T, Q=T, R=F$ ):

The truth value of $(P \to (Q \to R)) \to ((P \to Q) \to (P \to R))$ is $T$ .
The truth value of $P \to Q \lor R$ is $T$ .