List of top Questions asked in CUET (UG)

If \((\vec{a} - \vec{b}) \cdot (\vec{a} + \vec{b}) = 27\) and \(|\vec{a}| = 2|\vec{b}|\), then \(|\vec{b}|\) is:

If \(\tan^{-1}\left(\frac{2}{3 - x + 1}\right) = \cot^{-1}\left(\frac{3}{3x + 1}\right)\), then which one of the following is true?

Anubhav spent 14% of his income on electricity bills, 28% on rent, and 18% on shopping. If 1/4 of the remaining amount is Rs. 5120, how much did he spend on electricity bills?

The second-order derivative of which of the following functions is $5^x$?

In a 600 m race, the ratio of the speeds of two participants A and B is 4:5. If A has a head start of 200 m, then the distance by which A wins is:

A molecule X associates in a given solvent as per the following equation:
X ⇌ (X)_n
For a given concentration of X, the van’t Hoff factor was found to be 0.80 and the
fraction of associated molecules was 0.3. The correct value of ‘n’ is:

For the given mixed combination of resistors calculate the total resistance between points A and B.

Choose the correct answer from the options given below.

S and T are partners in a firm sharing profits in the ratio of 3:2. They admit U as a new partner. S surrenders \(\frac{1}{4}\) of his share and T surrenders 1/3 of his share in favour of U. Sacrificing ratio of S and T will be:
Choose the correct answer from the options given below:

If a\(95\% \)confidence interval for the population mean was reported to be 160 to 170 and\(σ = 25\), then the size of the sample used in this study is:

The total number of ions produced from the compound \(\text{Cr}(\text{NH}_3)_6]\text{Cl}_3\) in aqueous solution is:

In the circuit shown, the current in the 1Ω resistor is:

If the matrix\(\begin{bmatrix}0 & -1 & 3x\\1 & y & -5\\-6 & 5 & 0 \end{bmatrix} \)is skew-symmetric, then the value of 5x−y is:

Match List-I with List-II:

Match the blanks in List-I with appropriate Phrasal Verbs in List-II

List-I (Sentence)	List-II (Phrasal Verb)
(A) I thought she looked a little older, _______ by all her new responsibilities.	(IV) weighed down
(B) She decided to _______ half a kg. of almonds and put them in a jar for her snack time.	(I) weigh out
(C) We will have to _______ all the alternatives before taking the final call.	(II) weigh up
(D) Several leading architects _______ with suggestions regarding the design of the new museum.	(III) weighed in

Choose the correct answer from the options given below:

A galvanometer with resistance 100 Ω gives full-scale deflection with a current of 2 mA. The resistance required to convert the galvanometer into an ammeter of range 0 to 20 A is nearly:

A long solenoid is formed by winding insulated copper wire at the rate of 20 turns per cm. The current required to produce a magnetic field of 20 mT inside the solenoid at its center would be:

The least non-negative remainder when 3⁵¹ is divided by 7 is:

In India, the first SOS village was set up in which year?

Evaluate the integral $\int_0^1 \frac{a - bx^2}{(a + bx^2)^2} , dx$:

If the average of p numbers is q² and that of q numbers is p², then the average of (p+q) numbers is:

The sum of the digits of a two-digit number is 10. If 18 is subtracted from it, the digits in the resulting number will be equal. The number is:

Identify the type of processed foods prepared by mixing and processing of individual ingredients resulting in relatively shelf-stable food products.

In an electromagnetic wave, the ratio of energy densities of electric and magnetic fields is ______.
Fill in the blank with the correct answer from the options given below

Arrange the following stages of oogenesis in order of their occurrence:
(A) Ovum
(B) Oogonia
(C) Primary oocyte
(D) Secondary oocyte
Choose the correct answer from the options given below:

If $t = e^{2x}$ and $y = \ln(t^2)$, then $\frac{d^2 y}{dx^2}$ is: