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MHT CET Maths Model Test 03 MHT - CET - MHT CET Maths Model Test 03

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

Question types

MHT CET Maths Model Test 03 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 03 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
If X follows a binomial distribution with parameters n = 10 and p. If 4P(X = 6) = P(X = 4), then p = ______
  • ✓
    `1/3`
  • B
    `1/6`
  • C
    `1/4`
  • D
    `1/2`

Answer: A.

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Q 2MCQ1 Mark
X is a continuous random variable with probability density function

f(x) = `x^3/16,` 0 ≤ x ≤ 1

= 0, otherwise

Then, the value of P(0.2 ≤ X ≤ 0.3) is

  • ✓
    `0.065/64`
  • B
    `0.0065/64`
  • C
    `0.65/64`
  • D
    `0.0064/65`

Answer: A.

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Q 3MCQ1 Mark
If X is a random variable with probability distribution as given below:

X 0 1 2 3
P(X) 2a a 4a 3a

Then, the variance of X is ______

  • ✓
    `29/25`
  • B
    `24/27`
  • C
    `23/7`
  • D
    `25/29`

Answer: A.

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Q 4MCQ1 Mark
In tossing 8 coins, the probability of getting exactly 3 tails is ______
  • ✓
    `7/32`
  • B
    `7/256`
  • C
    `1/256`
  • D
    `1/32`

Answer: A.

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Q 5MCQ1 Mark
The general solution of the differential equation `y "d"x - (1 + x^2) cot^-1 x "d"y` = 0 is ______.
  • ✓
    `y cot^-1x = "c"`
  • B
    `x + cot^-1y = "c"`
  • C
    `x cot^-1y = "c"`
  • D
    `y + cot^-1x = "c"`

Answer: A.

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