1
MHT CET 2026 15th April Evening Shift
MCQ (Single Correct Answer)
+2
-0
If 6 boys and 3 girls are to be seated in a row for a photograph, then the probability that the end seats are occupied by the girls and no two girls are side by side is
A
$\dfrac{5}{12}$
B
$\dfrac{1}{28}$
C
$\dfrac{1}{84}$
D
$\dfrac{5}{84}$
2
MHT CET 2026 15th April Evening Shift
MCQ (Single Correct Answer)
+2
-0
A bag contains 23 balls, of which 7 are identical. The number of ways of selecting 12 balls from the bag is....
A
${}^{18}C_6 + {}^{18}C_8$
B
${}^{18}C_7 + {}^{19}C_8$
C
${}^{16}C_8 + {}^{18}C_{15}$
D
${}^{16}C_8 + {}^{18}C_9$
3
MHT CET 2026 15th April Evening Shift
MCQ (Single Correct Answer)
+2
-0
The approximate value of $(0.007)^{\frac{1}{3}}$ is
A
$\dfrac{21}{120}$
B
$\dfrac{23}{120}$
C
$\dfrac{29}{120}$
D
$\dfrac{31}{120}$
4
MHT CET 2026 15th April Evening Shift
MCQ (Single Correct Answer)
+2
-0
If $33\theta = \pi$, then the value of $\cos\theta \cos2\theta \cos4\theta \cos8\theta \cos16\theta$ is
A
$\dfrac{1}{16}$
B
$\dfrac{1}{32}$
C
$\dfrac{1}{64}$
D
$\dfrac{-1}{32}$

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