MHT CET Maths Model Test 04 - Maharashtra Board STD 12 Science MHT - CET Questions

50

Questions

1

Question groups

5

Question types

01

MCQ

50 Q→

Sample Questions

MHT CET Maths Model Test 04 questions

One sample from each question group in this chapter. Select any group above to see the full set with answer keys.

Q 1MCQ1 Mark

The p.m.f. of a r.v. X is

P(x) = `{{:((2x)/(n(n + 1))"," x = 1"," 2"," ...."," "n"),(0"," "otherwise"):}` Then, E(X) = ______.

✓
`(2n+1)/3`
B
`(n+2)/3`
C
`(2n-1)/3`
D
`(n+1)/3`

Answer: A.

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Q 2MCQ1 Mark

The probability distribution of X is

X = x	-4	-3	-2	-1	0	1	2
P(X = x)	0.25a	0.20a	0.15a	0.10a	0.05a	0.10a	0.15a

Then P(X is not a natural number) = ______

✓
0.75
B
0.65
C
0.45
D
0.55

Answer: A.

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Q 3MCQ1 Mark

A random variable X has the following probability distribution:

X	1	2	3	4
P(X)	`1/3`	`2/9`	`1/3`	`1/9`

1hen, the mean of this distribution is ______

A
`9/20`
B
`40/9`
C
`9/40`
✓
`20/9`

Answer: D.

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Q 4MCQ1 Mark

The solution of the differential equation $(x + 1) \sin y\ dy = [(x + 1 )e^x log(x + 1) + e^x]dx$ is ______.

✓
$`cos "y" + "e"^x log(x + 1) + "c" = 0`$
B
$\cos y = (x + 1)e^x+ c$
C
$`cos y = 1/(x + 1) "e"^x + "c"`$
D
$`cos "y" = "e"^x log (x + 1) + "c"`$

Answer: A.

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Q 5MCQ1 Mark

The solution of the differential equation `dy/dx = ((1 + x)y)/((y - 1)x)` is ______

✓
log xy + x - y = c
B
log xy + x + y = c
C
None of these
D
`log(x/y) + x - y = c`

Answer: A.

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