1
MHT CET 2026 15th April Morning Shift
MCQ (Single Correct Answer)
+2
-0
The number of five-digit numbers formed using the digits $2, 3, 5, 7, 9$ without repetition and which are greater than $24000$ are
A
$120$
B
$117$
C
$114$
D
$96$
2
MHT CET 2026 15th April Morning Shift
MCQ (Single Correct Answer)
+2
-0
In $\triangle ABC$, with the usual notations, $\angle C = 90^\circ$, then $\sin(A - B)$ is equal to....
A
$\dfrac{a^2 + b^2}{a^2 - b^2}$
B
$\dfrac{a^2 + c^2}{a^2 - c^2}$
C
$\dfrac{b^2 + c^2}{b^2 - c^2}$
D
$\dfrac{a^2 - b^2}{a^2 + b^2}$
3
MHT CET 2026 15th April Morning Shift
MCQ (Single Correct Answer)
+2
-0
If $P = \tan 20^\circ$, then the value of $\dfrac{\tan 160^\circ - \tan 110^\circ}{1 + \tan 160^\circ \tan 110^\circ}$ in terms of $P$, is...
A
$\dfrac{1+P^2}{2P^2}$
B
$\dfrac{1+P^2}{2P}$
C
$\dfrac{1-P^2}{2P^2}$
D
$\dfrac{1-P^2}{2P}$
4
MHT CET 2026 15th April Morning Shift
MCQ (Single Correct Answer)
+2
-0
If $\cos(p\theta) + \cos(q\theta) = 0$ and $p \neq q$, then the general value of $\theta$ (where n is any integer) is...
A
$\dfrac{(3n+1)\pi}{p - q}$
B
$\dfrac{(2n+1)\pi}{p \pm q}$
C
$\dfrac{(n \pm 1)\pi}{p \pm q}$
D
$\dfrac{(n+2)\pi}{p + q}$

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