List of top Questions asked in CUET (PG)- 2025

Which of the following symmetry does not exist:

The steps involved in determining the Miller indices are:
A. Take the reciprocal of these intercepts.
B. Simplify the fraction.
C. Enclose the obtained numbers into parentheses.
D. Find the intercepts of the plane on the crystallographic axes.
Choose the correct answer from the options given below:

The number of distinct space groups possible in 3-dimensions is:

Inter-planer spacing for a (034) plane in a simple cubic, whose lattice constant is \(4.5 \times 10^{-10}\) m, is:

The characteristic length of nano-materials is:

Surface area to volume ratio of materials:

As the particle size reduces, the optical absorption spectra shifts towards:

Carbon nanotube shows magneto-resistive effects:

Lithography is:

Scanning Tunneling Microscopy is based on:

Which statement is true for Scanning Tunneling Microscopy:

Atomic Force Microscopy is a modified version of:

Atomic Force Microscopy monitors:

Moment generating function of a random variable Y, is \( \frac{1}{3}e^t(e^t - \frac{2}{3}) \), then E(Y) is given by

If, \(f(X) = \frac{C\theta^x}{x}\); \(x = 1,2, \dots\); \(0<\theta<1\), then E(X) is equal to

If, \(f(x; \alpha, \beta) = \begin{cases} \alpha \beta x^{\beta-1} e^{-\alpha x^\beta} & ; x>0 \text{ and } \alpha, \beta>0 \\ 0 & ; \text{otherwise} \end{cases}\), then the probability density function of \(Y=x^\beta\) is

If \(f(X) = \frac{1}{\sqrt{2\pi}} e^{-\frac{x^2}{2}}; -\infty<x<\infty\) and \(Y = |X|\), then E(Y) is

The sequence \(\{a_n = \frac{1}{n^2}; n>0\}\) is

The values of 'm' for which the infinite series,
\(\sum \frac{\sqrt{n+1}+\sqrt{n}}{n^m}\) converges, are:

The limit of the sequence,
\(\{b_n; b_n = \frac{n^n}{(n+1)(n+2)...(n+n)}; n>0\}\), is

A card is drawn at random from a standard deck of 52 cards. Then, the probability of getting either an ace or a club is:

A six-faced die is rolled twice. Then the probability that an even number turns up at the first throw, given that the sum of the throws is 8, is

If the two regression lines are given by \(8X-10Y+66=0\) and \(40X-18Y=264\), then the correlation coefficient between X and Y is: