List of top Questions asked in CUET (UG)

X and Y are partners in a firm with capitals of \$60,000 and \$40,000 respectively. Z is admitted as a new partner for a \( \frac{1}{4} \)th share in profits and brings in \$40,000 as his capital contribution. What is the total value of the Hidden Goodwill of the firm?

A and B are partners sharing profits in the ratio of \( 3:2 \). C is admitted as a new partner for a \( \frac{1}{5} \)th share in the profits, which he acquires entirely from A. What will be the new profit-sharing ratio of A, B, and C?

Which of the following biomolecules acts as the genetic material in most organisms?

The half-life of a first order reaction is 1386 s. The rate constant \(k\) is:

Which of the following compounds can show metamerism?

The compound which is most basic in gaseous phase is:

Which of the following compounds gives a positive Hinsberg test and forms a soluble sulphonamide?

Among the following, the compound having the lowest value of \(pK_a\) is:

Which of the following compounds has the highest boiling point?

Lucas reagent gives immediate turbidity with:

Among the following amines, the strongest base in aqueous solution is: \[ \text{NH}_3,\; \text{CH}_3\text{NH}_2,\; (\text{CH}_3)_2\text{NH},\; (\text{CH}_3)_3\text{N} \]

Arrange the following compounds in increasing order of acidic strength: \[ \text{Phenol, Water, Propan-1-ol, Propan-2-ol} \]

Simplify the following expression using inverse trigonometric properties: \( \tan\left(\sin^{-1}x + \cos^{-1}x\right) \) where \( |x| \le 1 \).

Find the interval where the function \( f(x) = x^2 - 4x + 6 \) is strictly decreasing.

If a square matrix \( A \) satisfies the condition \( A^T = -A \), then the matrix \( A \) is classified as a:

If two vectors \( \vec{a} = 2\hat{i} + \lambda\hat{j} + \hat{k} \) and \( \vec{b} = 4\hat{i} - 2\hat{j} - 2\hat{k} \) are perpendicular to each other, determine the value of the scalar constant \( \lambda \).

Find the slope of the normal to the curve \( y = 2x^2 + 3\sin x \) at the coordinate point where \( x = 0 \).

If the function \( f(x) \) defined below is continuous at \( x = 2 \), find the value of the constant \( k \): \[ f(x) = \begin{cases} kx^2 & \text{if } x \le 2 3x - 2 & \text{if } x > 2 \end{cases} \]

An in-depth study of the individual in terms of his/her psychological attributes, psychological history in the context of his/her psycho-social and physical environment is known as:

Identify the facets of intelligence in the Indian tradition from the following options: (A) Cognitive capacity (B) Social competence (C) Emotional competence (D) Individualistic orientation (E) Entrepreneurial competence.

Arshiya has an I.Q. of 135. She is an all-rounder. She not only scores at the top of her class but is also an international chess player and a remarkable beat player as well. Arshiya can be classified as:

Kohs Block Design Test contains a number of wooden blocks to be arranged in a design within a given time period. This test is an example of:

The ability to monitor one's own and others' emotions, to discriminate among them and to use the information to guide one's thinking and actions is called: