1
MHT CET 2023 10th May Morning Shift
MCQ (Single Correct Answer)
+2
-0

The number of integral values of $$\mathrm{p}$$ in the domain $$[-5,5]$$, such that the equation $$2 x^2+4 x y-p y^2+4 x+q y+1=0$$ represents pair of lines, are

A
3
B
4
C
7
D
8
2
MHT CET 2023 10th May Morning Shift
MCQ (Single Correct Answer)
+2
-0

An open metallic tank is to be constructed, with a square base and vertical sides, having volume 500 cubic meter. Then the dimensions of the tank, for minimum area of the sheet metal used in its construction, are

A
$$5 \mathrm{~m}, 5 \mathrm{~m}, 10 \mathrm{~m}$$
B
$$10 \mathrm{~m}, 10 \mathrm{~m}, 5 \mathrm{~m}$$
C
$$2 \mathrm{~m}, 2 \mathrm{~m}, 8 \mathrm{~m}$$
D
$$15 \mathrm{~m}, 15 \mathrm{~m}, 5 \mathrm{~m}$$
3
MHT CET 2023 10th May Morning Shift
MCQ (Single Correct Answer)
+2
-0

The p.d.f. of a discrete random variable is defined as $$\mathrm{f}(x)=\left\{\begin{array}{l} \mathrm{k} x^2, 0 \leq x \leq 6 \\ 0, \text { otherwise } \end{array}\right.$$

Then the value of $$F(4)$$ (c.d.f) is

A
$$\frac{30}{91}$$
B
$$\frac{30}{97}$$
C
$$\frac{15}{47}$$
D
$$\frac{15}{97}$$
4
MHT CET 2023 10th May Morning Shift
MCQ (Single Correct Answer)
+2
-0

The variance, for first six prime numbers greater than 5, is

A
27
B
28
C
15
D
20
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