The probability of getting at least one head when tossing two fair coins is:

1

If $A$ and $B$ are independent events, then $P(A \cap B)$ is:

Topic: JAMIA MILLIA ISLAMIA MCA 2025

2

The degree of the differential equation $\left(\frac{d^2 y}{dx^2}\right)^3 + \frac{dy}{dx} = 0$ is:

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3

The order of the differential equation $\frac{d^2 y}{dx^2} + 3\frac{dy}{dx} = 5$ is:

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4

The area under a curve between two points is given by:

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5

The function f(x) = |x| is:

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6

The determinant of the identity matrix of order 3 is :

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7

If the 5th term of an arithmetic progression is 20 and the common difference is 3, what is the first term?

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8

The sum of the first n natural numbers given by:

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9

If two fair dice are rolled, what is the probability of getting a sum of 7?

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10

How many was can 4 books be arranged on a shelf?

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1

A random variable X follows a binomial distribution with parameters n = 5 and p = 0.3 . The expected value of X is:

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2

If $A$ and $B$ are two square matrices of the same order, then $(A + B)^2 =$

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3

The determinant of a diagonal matrix is :

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4

$\frac{\sin x}{x}$ as $x \to 0$ is:

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5

A function is continuous at x = a if:

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6

The derivative of $e^x$ is:

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7

The second derivative of $x^3$ is:

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8

If a function $f(x)$ is increasing, then its derivative must be:

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9

$ \int e^x , dx = ? $

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10

The integral of $ \frac{1}{x} $ with respect to $ x $ is :

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