List of top Mathematics Questions on Mathematics asked in CUET (PG)

Every continuous real valued function on [a, b] is
(A). Constant.
(B). Bounded above.
(C). Bounded below.
(D). Unbounded.
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Let \(<G,*> \) be a group. Then for all a, b, c \(\in\) G
(A). (a*b)*c \(\in\) G
(B). a*b = b*a
(C). a*(b*c) = (a*b)*c
(D). a*b = a*c implies b = c.
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The solution of \(y = xp + \frac{m}{p}\) where \(p = \frac{dy}{dx}\) is

Let \(f\) be a continuous real valued function, defined by, \(f(x) = \sin x\), for all \(x \in [-\frac{\pi}{2}, \frac{\pi}{2}]\). Then which of the following does not hold.

Let an unbiased die be thrown and the random variable X be the number appears on its top. Then the expectation of X is

The integral \( \int_{0}^{\pi/2} \sin^5 x \cos^7 x \,dx = \)

The equation of a straight line passes through the point (4,-5) and is perpendicular to the straight line 3x + 4y + 5 = 0.

Which of the following subsets form subgroups of the group <ℤ, +>?

(A). H₁ = {0}
(B). H₂ = {n+1 : n ∈ ℤ}
(C). H₃ = {2n : n ∈ ℤ}
(D). H₄ = {2n+1 : n ∈ ℤ}

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The series \( \sum_{n=1}^{\infty} \frac{1}{n} \)

If a subset B is a basis of a vector space V, then
(A). B generates V.
(B). B contains zero vector.
(C). B is linearly independent.
(D). B is the only basis of V.
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What is the fundamental assumption behind a Markov model?

What is the key principle behind Monte Carlo simulation?