List of top Questions asked in CUET (UG)

Rearrange the following parts in the correct sequence to make a meaningful sentence:
(A) are inborn but our
(B) constituents of flavor, are learned
(C) our responses to basic tastes
(D) perceptions of smells, the main
Choose the correct answer from the options given below :
What is the major product of Carbylamine reaction?
Match List-I with List-II:
Lucas reagent
The graph correctly representing the variation of image distance ’v’ for a convex lens of focal length ’f’ versus object distance ’u’ is ______.
Fill in the blank with the correct answer from the options given below
A cell of emf 1.1 V and internal resistance 0.5 Ω is connected to a wire of resistance 0.5 Ω. Another cell of the same emf is now connected in series with the intention of increasing the current but the current in the wire remains the same. The internal resistance of the second cell is________.
Fill in the blank with the correct answer from the options given below.
Three magnetic materials are listed below:
(A) Paramagnetics
(B) Diamagnetics
(C) Ferromagnetics
Choose the correct order of the materials in increasing order of magnetic susceptibility.
A proton accelerated through a potential difference V has a de Broglie wavelength λ. On doubling the accelerating potential, the de Broglie wavelength of the proton_____.
Fill in the blank with the correct answer from the options given below
For an electric dipole in a non-uniform electric field with dipole moment parallel to the direction of the field, the force F and torque τ on the dipole respectively are______.
Fill in the blank with the correct answer from the options given below.
Which of the following are components of a time series?(A) Irregular component
(B) Cyclical component
(C) Chronological component
(D) Trend Component
Choose the correct answer from the options given below:
Mohan caught 100 frogs from a garden and measured their weights. The mean weight of these frogs is a :
A certain sum becomes 2356 in 3 years and 2660 in 5 years on simple interest. What is the value of the sum?
A firm anticipates an expenditure of ₹10,000 for a new equipment at the end of 5 years from now. How much should the firm deposit at the end of each quarter into a sinking fund earning interest 10% per year compounded quarterly to provide for the purchase?
[Use (1.025)20=1.7]
The rate of change (in cm2/s) of the total surface area of a hemisphere with respect to the radius r at r = 3.
The function f(x) = |x| + |1 − x| is:
An equilateral triangle of side \( 4\sqrt{3} \) cm formed out of a sheet is converted into a rectangle such that there is no loss of the area of the triangle. Then the least perimeter of the rectangle (in cm) will be:
The integral of the function \( \frac{1}{9 - 4x^2} \) is:

If \( y = e^{{2}\log_e t} \) and \( x = \log_3(e^{t^2}) \), then \( \frac{dy}{dx} \) is equal to:

Which of the following cannot be the direction ratios of the straight line \(\frac{x - 3}{2} = \frac{2 - y}{3} = \frac{z + 4}{-1}\)?
Subject to constraints: 2x + 4y ≤ 8, 3x + y ≤ 6, x + y ≤ 4, x, y ≥ 0; The maximum value of Z = 3x + 15y is:
The value of \(\int_{\frac{\pi}{6}}^{\frac{\pi}{3}} \frac{dx}{1 + \tan^{18}x}\) is:
If \[ y = \frac{1}{\sqrt{1 - 4 \sin^2 x \cos^2 x}}, \] then $\frac{dy}{dx}$ is:
The area of the region bounded by the lines \( \frac{x}{7\sqrt{3a}} + \frac{y}{b} = 4 \), \( x = 0 \), and \( y = 0 \) is:
A flower vase costs 36,000. With an annual depreciation of 2,000, its cost will be 6,000 in how many years?
Match List-I with List-II:
List-IList-II
The derivative of \( \log_e x \) with respect to \( \frac{1}{x} \) at \( x = 5 \) is(I) -5
If \( x^3 + x^2y + xy^2 - 21x = 0 \), then \( \frac{dy}{dx} \) at \( (1, 1) \) is(II) -6
If \( f(x) = x^3 \log_e \frac{1}{x} \), then \( f'(1) + f''(1) \) is(III) 5
If \( y = f(x^2) \) and \( f'(x) = e^{\sqrt{x}} \), then \( \frac{dy}{dx} \) at \( x = 0 \) is(IV) 0
Choose the correct answer from the options given below :
If \( x = at^4 \) and \( y = 2at^2 \), then \( \frac{d^2y}{dx^2} \) is equal to: