1
MHT CET 2026 19th April Evening Shift
MCQ (Single Correct Answer)
+2
-0
If p, q, r are simple propositions with truth values T, F, T respectively, then which of the following is not a true statement?
A
$[q \wedge (p \to q)] \to p$
B
$(p \wedge q) \to (q \vee \sim p)$
C
$[(\sim p \vee q) \wedge \sim r] \leftrightarrow p$
D
$(p \wedge q) \vee (\sim q \vee r)$
2
MHT CET 2026 19th April Evening Shift
MCQ (Single Correct Answer)
+2
-0
If $\sim p \to q$ is false and $q \leftrightarrow r$ is false, then the truth value of $(p, q, r)$ is...
A
$(T, F, T)$
B
$(F, T, F)$
C
$(F, F, T)$
D
$(F, T, T)$
3
MHT CET 2026 19th April Evening Shift
MCQ (Single Correct Answer)
+2
-0
In $\triangle ABC$, with usual notations, $(a + b + c)(b + c - a)(c + a - b)(a + b - c) = 3b^2c^2$, then $\angle A = $
A
$60^\circ$ or $120^\circ$
B
$30^\circ$ or $150^\circ$
C
$45^\circ$ or $135^\circ$
D
$30^\circ$ or $90^\circ$
4
MHT CET 2026 19th April Evening Shift
MCQ (Single Correct Answer)
+2
-0
If ABC is a triangle of area $\Delta$ with $a = 2, b = \dfrac{7}{2}, c = \dfrac{5}{2}$, where $a, b, c$ are the lengths of the sides of the triangle opposite to angles A, B and C respectively, then $\dfrac{2\sin A - \sin 2A}{2\sin A + \sin 2A}$ is equal to...
A
$\dfrac{3}{4\Delta}$
B
$\left(\dfrac{3}{4\Delta}\right)^2$
C
$\dfrac{45}{4\Delta}$
D
$\left(\dfrac{45}{4\Delta}\right)^2$

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