1
MHT CET 2024 15th May Evening Shift
MCQ (Single Correct Answer)
+2
-0

If p : The total prime numbers between 2 to 100 are 26.

q : Zero is a complex number.

$r$ : Least common multiple (L.C.M.) of 6 and 7 is 6 .

Then which of the following is correct?

A
$(p \wedge q) \rightarrow r$ has truth value False.
B
$(p \rightarrow q) \rightarrow r$ has truth value True.
C
$(p \vee q) \leftrightarrow r$ has truth value False.
D
$(\mathrm{p} \rightarrow \mathrm{q}) \rightarrow(\mathrm{q} \rightarrow \mathrm{p})$ has truth value True.
2
MHT CET 2024 15th May Evening Shift
MCQ (Single Correct Answer)
+2
-0

$$\lim _\limits{x \rightarrow 2} \frac{3^x+3^{3-x}-12}{3^{3-x}-3^{\frac{x}{2}}}=$$

A
$-\frac{4}{3}$
B
$\frac{4}{3}$
C
$\frac{2}{3}$
D
$-\frac{4}{9}$
3
MHT CET 2024 15th May Evening Shift
MCQ (Single Correct Answer)
+2
-0

$$\int_0^{\frac{\pi}{4}} \frac{\sec ^2 x}{(1+\tan x)(2+\tan x)} d x=$$

A
$\log \left(\frac{3}{4}\right)$
B
$\frac{1}{3} \log \left(\frac{4}{3}\right)$
C
$\log \left(\frac{4}{3}\right)$
D
$\frac{1}{4} \log \left(\frac{3}{4}\right)$
4
MHT CET 2024 15th May Evening Shift
MCQ (Single Correct Answer)
+2
-0

If two fair dice are rolled, then the probability that the sum of the numbers on the upper faces is at least 9, is

A
$\frac{1}{3}$
B
$\frac{4}{11}$
C
$\frac{5}{18}$
D
$\frac{5}{36}$
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