1
MHT CET 2025 23rd April Evening Shift
MCQ (Single Correct Answer)
+2
-0

The function $\mathrm{f}(x)=2 x-\left|x-x^2\right|$ is

A
continuous at $x=1$
B
discontinuous at $x=1$
C
not defined at $x=1$
D
discontinuous at $x=0$
2
MHT CET 2025 23rd April Evening Shift
MCQ (Single Correct Answer)
+2
-0

Consider the statements given by following

(A) If $4+3=8$, then $5+3=9$

(B) If $6+4=10$, then moon is flat

(C) If both (A) and (B) are true, then $5+6=17$

Then which of the following statement is correct?

A
(A) is true while (B) and (C) are false
B
(A) and (B) are false, while (C) is true
C
(A) and (C) are true, while (B) is false
D
(A) is false, but (B) and (C) are true
3
MHT CET 2025 23rd April Evening Shift
MCQ (Single Correct Answer)
+2
-0

If $A=\left[\begin{array}{rrr}1 & -1 & 1 \\ 0 & 2 & -3 \\ 2 & 1 & 0\end{array}\right], B=\operatorname{adj} A$ and $C=5 A$, then $\frac{|\operatorname{adjB}|}{|\mathrm{C}|}=$

A
2
B
4
C
1
D
5
4
MHT CET 2025 23rd April Evening Shift
MCQ (Single Correct Answer)
+2
-0
The number of values of $x$ in the interval $[0,3 \pi]$ satisfying the equation $2 \sin ^2 x+5 \sin x-3=0$ is
A
4
B
6
C
2
D
1

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