1
MHT CET 2023 9th May Evening Shift
MCQ (Single Correct Answer)
+2
-0

If $$\mathrm{f}^{\prime}(x)=x-\frac{5}{x^5}$$ and $$\mathrm{f}(1)=4$$, then $$\mathrm{f}(x)$$ is

A
$$\frac{x^2}{2}+\frac{9}{4} \frac{1}{x^4}+\frac{5}{4}$$
B
$$\frac{x^2}{2}-\frac{5}{4} \frac{1}{x^4}+\frac{9}{4}$$
C
$$\frac{x^2}{2}+\frac{5}{4} \frac{1}{x^4}+\frac{9}{4}$$
D
$$\frac{x^2}{2}-\frac{9}{4} \frac{1}{x^4}+\frac{5}{4}$$
2
MHT CET 2023 9th May Evening Shift
MCQ (Single Correct Answer)
+2
-0

A linguistic club of a certain Institute consists of 6 girls and 4 boys. A team of 4 members to be selected from this group including the selection of a Captain (from among these 4 members) for the team. If the team has to include atmost one boy, the number of ways of selecting the team is

A
95
B
260
C
320
D
380
3
MHT CET 2023 9th May Evening Shift
MCQ (Single Correct Answer)
+2
-0

Negation of the statement

"The payment will be made if and only if the work is finished in time." Is

A
The work is finished in time and the payment is not made.
B
The payment is made and the work is not finished in time.
C
The work is finished in time and the payment is not made, or the payment is made and the work is finished in time.
D
Either the work is finished in time and the payment is not made, or the payment is made and the work is not finished in time.
4
MHT CET 2023 9th May Evening Shift
MCQ (Single Correct Answer)
+2
-0

The equation $$x^3+x-1=0$$ has

A
no real root.
B
exactly two real roots.
C
exactly one real root.
D
all three real roots.
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