1
MHT CET 2026 13th April Morning Shift
MCQ (Single Correct Answer)
+2
-0
$\displaystyle\lim_{x \to 0}\left[\dfrac{\log|2 + x| - \log|2 - x|}{\tan x}\right] = $ .......
A
$2$
B
$0$
C
$-1$
D
$1$
2
MHT CET 2026 13th April Morning Shift
MCQ (Single Correct Answer)
+2
-0
Consider the statement patterns
A. $(q \rightarrow p) \vee (p \rightarrow q)$
B. $(\sim p \vee \sim q) \leftrightarrow \sim (p \wedge q)$
C. $[(p \vee q) \wedge \sim p] \wedge \sim q$
D. $(p \wedge q) \wedge (\sim p \vee \sim q)$
then statement patterns
A
A and B are contradictions, C and D are tautologies.
B
A and B are tautologies, C and D are contradictions.
C
A, B, C, D all are tautologies.
D
A, B, C, D all are contradictions.
3
MHT CET 2026 13th April Morning Shift
MCQ (Single Correct Answer)
+2
-0
The statement pattern $(p \wedge q) \rightarrow (r \vee \sim s)$ is false. Then the truth values of $p, q, r$ and $s$ are respectively
A
T, F, T, T
B
T, T, F, T
C
T, T, T, F
D
T, T, F, F
4
MHT CET 2026 13th April Morning Shift
MCQ (Single Correct Answer)
+2
-0
In a triangle ABC, with usual notations if $\dfrac{s-a}{11} = \dfrac{s-b}{12} = \dfrac{s-c}{13}$ and $\lambda \tan^2 \dfrac{A}{2} = 455$, then $\lambda =$
A
$1155$
B
$1255$
C
$1355$
D
$1055$

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