List of top Questions asked in CUET (UG)

If the protons and electrons are the only basic charges in the universe, all the observable charges have to be integral multiples of e. Thus, if an object contains x electrons and y protons, the net charge on the object will be
Select the correct statements for [Fe(CN)\(_6\)]\(^{3-}\) complex:
(A) Paramagnetic
(B) sp\(^3\)d\(^2\) hybridization
(C) Magnetic moment = 5.92 BM
(D) d\(^2\)sp\(^3\) hybridization
A wire of resistance 4 \(\Omega\) is used to make a coil of radius 7 cm. The wire has a diameter of 1.4 mm and the resistivity of its material is 2 x 10\(^{-7}\) \(\Omega\) m. The number of turns in the coil will be
Two point charges, 4 µC and -3 µC (with no external field) are placed at (-6 cm, 0, 0) and (6 cm, 0, 0), respectively. The amount of work required to separate the two charges infinitely away from each other will be
Arrange the simple interest of the following cases in decreasing order-
(A) The simple interest on Rs 6600 at 5% per annum for 2 yrs.
(B) The simple interest on Rs 200 at 6% per annum for 5 yrs.
(C) The simple interest on Rs 840 at 5% per annum for 4 yrs.
(D) The simple interest on Rs 5000 at 12% per annum for 2 yrs.
Choose the correct answer from the options given below:
If \(\int \frac{(1 + x \log x)}{xe^{-x}} dx = e^x f(x) + C\), where C is constant of integration, then f(x) is
Arrange the following ions in increasing order of number of 3d-electrons: (A) Cr$^{2+}$
(B) Cu$^{2+}$
(C) Ti$^{3+}$
(D) Mn$^{2+}$
If y = 3e2x + 2e3x, then $\frac{d^2y}{dx^2} + 6y$ is equal to
Five friends — Arjun, Bhavna, Charan, Divya, and Esha — are sitting in a row facing north.
  • Arjun is not sitting at any of the ends.
  • Bhavna is to the immediate right of Divya.
  • Charan is not next to Esha.
  • Esha is at one of the ends.
  • Divya is in the middle.
Who is sitting to the immediate left of Arjun?
Let AX = B be a system of three linear equations in three variables. Then the system has
(A) a unique solution if |A| = 0
(B) a unique solution if |A| $\neq$ 0
(C) no solutions if |A| = 0 and (adj A) B $\neq$ 0
(D) infinitely many solutions if |A| = 0 and (adj A)B = 0
Choose the correct answer from the options given below:
Find the missing term in the given series 5, 2, 7, 9, 16, 25, ?
The total cost C(x) in Rupees associated with the production of x units of an item is given by C(x) = \(0.007x^3 - 0.003x^2 + 15x + 400\). The marginal cost when 10 items are produced is:
The following activity can be termed as an example of possibilism:
Pointing to a man, Rani says, "He is the son of my mother's only daughter.” How is the man related to Rani?
Arrange the following Indian towns from ancient to modern period according to their times of evolution.
(A) Chandigarh
(B) Nagpur
(C) Madurai
(D) Surat
Choose the correct answer from the options given below:
In order to avoid the provisions of the Land Ceiling Act, which among the following strategies was adopted by the landowners?
Corner points of a feasible bounded region are \((0, 10)\), \((4, 2)\), \((3, 7)\) and \((10, 6)\). Maximum value 50 of objective function \(z = ax + by\) occurs at two points \((0, 10)\) and \((10, 6)\). The value of \(a\) and \(b\) are:
The least non-negative remainder when \(3^{128}\) is divided by 7 is:
The average of four numbers is 48. If the first number is one-third of the sum of the remaining numbers, then the first number is:
In a row of students, Rina is 12th from the left and 9th from the right. How many students are there in the row?
Arrange the major developments in Harappan Archaeology in a chronological order:
(A) Report of Alexander Cunningham on Harappan seal.
(B) S.R. Rao begins excavations at Lothal.
(C) Daya Ram Sahni begins excavations at Harappa.
(D) Vasant Shinde begins archaeogenetic research at Rakhigarhi.
Choose the correct answer from the options given below:
Fill in the blank with the most appropriate word: The politician’s speech was full ___ of designed to win over the crowd without saying much of substance.
A black and a red die are rolled simultaneously. The probability of obtaining a sum greater than 9, given that the black die resulted in a 5 is
Despite repeated warnings, he ____ to submit the assignment on time.
A resistor develops 800 J of thermal energy in 20 s on applying a potential difference of 20 V. Its resistance is