List of top Questions asked in CUET (PG)- 2026

The occurrence of an event is usually signaled by an interrupt from software by executing a special instruction which is called:

The target thread periodically checks whether it should terminate, allowing it an opportunity to terminate itself in an orderly fashion. This is known as:

Let \(S\) and \(T\) be symmetric matrices of the same order, which of the following statements are true?
• [A.] \(S + T\) is a symmetric matrix
• [B.] \(ST\) is a symmetric matrix
• [C.] \(ST = TS\) is a symmetric matrix
• [D.] \(ST - TS\) is a symmetric matrix

Which of the following statement are false about two circles whose equations are given below? \[ x^2 + y^2 - 10x - 10y - 41 = 0 \] \[ x^2 + y^2 - 22x - 18y + 137 = 0 \]
• [A.] Circles have no common point
• [B.] Circles have one common point
• [C.] Circles have two common points
• [D.] Circles have infinitely many points

Arrange the following determinants in decreasing order. \[ A = \begin{vmatrix} 1 & 3 & 5 \\ 2 & 6 & 10 \\ 31 & 11 & 38 \end{vmatrix} \quad B = \begin{vmatrix} 67 & 19 & 21 \\ 39 & 13 & 14 \\ 81 & 24 & 26 \end{vmatrix} \] \[ C = \begin{vmatrix} 1 & -3 & 2 \\ 4 & -1 & 2 \\ 3 & 5 & 2 \end{vmatrix} \quad D = \begin{vmatrix} 1 & 4 & 9 \\ 4 & 9 & 16 \\ 9 & 16 & 25 \end{vmatrix} \]

Which of the following statements are correct? \[ \lim_{x \to 0} \frac{\sin x}{x} = 1,\quad \lim_{x \to 0} \frac{\tan x}{x} = 1 \]
• [A.] Limit exists and equals \(\frac{1}{\sqrt{2}}\)
• [B.] Limit does not exist
• [C.] Limit exists and equals \(\frac{1}{2\sqrt{2}}\)
• [D.] Limit exists and equals \(\frac{1}{2}\left(1 + \frac{1}{3}\right)\)
Choose the correct answer from the options given below:

Arrange the following steps in sequence to find the variance of individual observations.
• [A.] Compute the mean \(\bar{X}\) of the given observations \(x_1, x_2, \ldots, x_n\).
• [B.] Square the deviations obtained and obtain the sum \(\sum_{i=1}^{n} (x_i - \bar{X})^2\).
• [C.] Divide the sum \(\sum_{i=1}^{n} (x_i - \bar{X})^2\) by \(n\).
• [D.] Take the deviations of the observations from mean i.e., \(x_i - \bar{X}, i=1,2,\ldots,n\).
Choose the correct answer from the options given below:

Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A): The sequence \(\frac{1}{3}, -\frac{1}{2}, \frac{3}{4}, -\frac{9}{8}, \ldots\) is an A.P.
Reason (R): The constant sequence is the only sequence which is both an A.P. as well as G.P. In the light of the above statements, choose the most appropriate answer from the options given below:

Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R). Let \(A\) and \(B\) be two symmetric matrices of order 3. Assertion (A): \((AB)\) and \((BA)\) are symmetric matrices.
Reason (R): \(AB\) is a symmetric matrix, if matrix multiplication of \(A\) with \(B\) is commutative. In the light of the above statements, choose the most appropriate answer from the options given below:

Arrange the following parabolas in increasing order of the length of their latus rectum.
• [A.] \(y^2 = 8x\)
• [B.] \(4x^2 + y = 0\)
• [C.] \(y^2 - 4y - 3x + 1 = 0\)
• [D.] \(y^2 - 4y + 4x = 0\)
Choose the correct answer from the options given below:

If the curves \(y^2 = 4ax\) and \(y = kx\) cut at right angles, then the value of \(k\) is:

Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R). Let \(f\) be a function defined by \[ f(x) = \begin{cases} \dfrac{\tan x}{x}, & x \neq 0 1, & x = 0 \end{cases} \] Assertion (A): \(x = 0\) is point of minima of \(f\).
Reason (R): \(f'(0) = 0\). In the light of the above statements, choose the most appropriate answer from the options given below:

Evaluate the value of: \[ \int_{0}^{\pi} \frac{\sin^2 x}{1 + \sin x \cos x}\, dx \]

Let the mean and variance of 12 observations be \(a\) and \(4\) respectively. Later on, it was observed that two observations were considered as 9 and 10 instead of 7 and 14 respectively. If the correct variance is \(\sigma^2\), where \(m\) and \(n\) are coprime, then \(m+n\) is equal to:

If the foci of a hyperbola coincide with the foci of the ellipse \(\frac{x^2}{25} + \frac{y^2}{9} = 1\), then the equation of the hyperbola having its eccentricity 2 is:

Let the equation of the pair of lines \(px - y = 0\) and \(qx - y = 0\) be written as \((y - px)(y - qx) = 0\). Then, the equation of the pair of angle bisectors of the lines \(x^2 - 4y^2 - 5xy = 0\) is:

The area of the region \(|x| + 2|y| \leq 4\) is given by:

If a matrix is both symmetric and skew symmetric, then

In a certain code, CONDEMN is written as CNODMEN. TEACHER will be written as CT__E__. Fill in the blanks by identifying the correct sequence. Options for blanks:
• [A.] H
• [B.] A
• [C.] D
• [D.] E

In a university, out of 100 students, 15 offered Mathematics only, 12 offered Statistics only, 8 offered Physics only, 40 offered Physics and Mathematics, 10 offered Mathematics and Statistics, 25 offered Physics. What is the number of students who did not offer any of the three subjects?

Choose the sets of numbers from the four alternative sets, that is similar to the given set: \[ \text{Given set: } (3,\ 16,\ 36) \] A. (2, 35, 50) B. (2, 30, 16) C. (4, 24, 48) D. (5, 36, 60)
Choose the correct answer from the options given below:

Arrange the following games in decreasing order, on the basis of the players in their playing terms.
• [A.] Basketball
• [B.] Table Tennis
• [C.] Lawn Tennis
• [D.] Cricket

Which of the following relationship are correct?
• [A.] Chocolate : Sugar :: Building : Cement
• [B.] Sound : Feeble :: Colour : Faded
• [C.] Diabetes : Indisposable :: Painful : Tormenting
• [D.] Calligraphy : Writing :: Chapter : Stanza
• [E.] Restaurant : Menu :: Library : Catalogue
Choose the correct answer from the options given below: