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MHT CET Maths Model Test 05 MHT - CET - MHT CET Maths Model Test 05

Maharashtra Board - STD 12 Science - MHT - CET (MSBSHSE - English Medium). 50 questions in this chapter.

Question types

MHT CET Maths Model Test 05 question types

50 questions across 1 question group — pick any mix to generate a MHT - CET paper with step-by-step answer keys.

50
Questions
1
Question groups
5
Question types
Sample Questions

MHT CET Maths Model Test 05 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) = `{:(= 1/13"," "for" x = 1"," 2"," ......"," 14"," 13),(= 0"," "otherwise."):}`
Then, E(X) is equal to ______.
  • ✓
    7
  • B
    4
  • C
    6
  • D
    2

Answer: A.

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Q 2MCQ1 Mark
The probability distribution of a random variable X is

X - 2.5 - 1.5 -0.5 0.5 1.5
P(X) 0.35 0.25 0.2 0.15 0.05

Then the c.d.f. of X is

  • A
    X -2.5 -1.5 -0.5 0.5 1.5
    F(X) 0.35 0.5 0.7 0.85 1
  • ✓
    X -2.5 -1.5 -0.5 0.5 1.5
    F(X) 0.35 0.6 0.8 0.95 1
  • C
    X -2.5 -1.5 -0.5 0.5 1.5
    F(X) 0.35 0.6 0.8 0.85 1
  • D
    X -2.5 -1.5 -0.5 0.5 1.5
    F(X) 0.35 0.5 0.7 0.75 0.8

Answer: B.

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Q 3MCQ1 Mark
Two coins are tossed. Then the probability distribution of number of tails is.
  • A
    X 1 2 3
    P(X) `1/4` `1/4` `1/2`
  • B
    X 1 2 3
    P(X) `1/4` `1/2` `1/4`
  • ✓
    X 0 1 2
    P(X) `1/4` `1/2` `1/4`
  • D
    X 0 1 2
    P(X) `1/4` `1/4` `1/2`

Answer: C.

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Q 4MCQ1 Mark
The population of a town increases at a rate proportional to the population at that time. If the population increases from 26,000 to 39,000 in 50 years, then the population in another 25 years will be ______ `(sqrt(3/2) = 1.225)`
  • A
    47757
  • B
    47575
  • C
    45777
  • ✓
    47775

Answer: D.

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Q 5MCQ1 Mark
The solution of the differential equation `dy/dx - cos^2y = 0` is ______
  • A
    y + 2 cos y = c
  • B
    y - 2 sin y = c
  • C
    y = tan x + c
  • ✓
    x = tan y + c

Answer: D.

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