List of top Questions asked in CUET (UG)

400 forfeited shares were reissued at ₹9 per share fully paid-up. Face value of each share was ₹10. What is the amount of discount on reissue?
XYZ Ltd. forfeited 500 shares of ₹10 each issued at par for non-payment of final call ₹2 per share. How much amount was forfeited?
A company invited applications for 1,00,000 shares but received applications for 1,50,000 shares. Shares were allotted on a pro-rata basis to applicants of 1,20,000 shares. How many shares were refused outright?
Select the correct sequence in gene expression in eukaryotes.
A pollen grain with 120 chromosomes undergoes normal development. What will be the chromosome number in each male gamete formed later?
Which statement correctly distinguishes VNTR from coding DNA sequences?
During HIV infection, which sequence correctly represents the events inside host cells?
Select the incorrect statement regarding meiosis in flowering plants.
Assertion (A): Filiform apparatus is important for pollen tube guidance.
Reason (R): Synergids secrete chemotropic substances that attract the pollen tube.
Which of the following events occurs during spermiogenesis but not during spermatogenesis?

Arrange the following wall layers of microsporangium from outermost to innermost: 
• Tapetum 
• Middle layers 
• Epidermis 
• Endothecium

In flowering plants, the pollen grain at the time of shedding from the anther is generally:
If \[ y= \left( x^{\sin x} \right)^{\tan x}, \] then find \[ \dfrac{dy}{dx}. \]
If \[ \left| \begin{matrix} x+a & y & z \\ x & y+b & z \\ x & y & z+c \end{matrix} \right| = 2abc, \] where \(a,b,c\neq0\), then find the value of \[ \frac{x}{a}+\frac{y}{b}+\frac{z}{c}. \]
If \[ f(x)=\left(\frac{1+\sin x}{1-\sin x}\right)^{\tan x}, \] then find \[ \lim_{x\to0}\frac{\ln f(x)}{x^2}. \]
Find the equation of the plane which passes through the point \[ (1,-2,3), \] contains the line of intersection of the planes \[ x+y+z=1 \] and \[ 2x-y+3z=4, \] and is perpendicular to the plane \[ x-2y+2z+5=0. \]
Evaluate: \[ \int \dfrac{x^2+1}{x^4+1}\,dx \]
If \[ y = \left(\dfrac{x+1}{x-1}\right)^x, \] then find \(\dfrac{dy}{dx}\).
If \[ \left| \begin{matrix} x+a & y & z \\ x & y+b & z \\ x & y & z+c \end{matrix} \right| = abc, \] where \(a,b,c\neq0\), then find the value of \[ \frac{x}{a}+\frac{y}{b}+\frac{z}{c}. \]
Let \(A\) be a non-singular \(3\times3\) matrix satisfying \[ A^3-6A^2+11A-6I=O. \] If \[ B=A^2-5A+7I, \] then find \(\det(B)\) given that \(\det(A)=6\).
When phenol is treated with chloroform (\(\text{CHCl}_3\)) in the presence of an aqueous sodium hydroxide solution followed by acidification, a prominent aromatic aldehyde is generated. What is the name of this organic reaction?
Which of the following alkyl halides will undergo the fastest rate of nucleophilic substitution via an \(\text{S}_{\text{N}}1\) mechanism when treated with an aqueous nucleophile?

Using Crystal Field Theory (CFT), what is the correct electronic configuration and magnetic behavior of the high-spin complex \[ [\text{Fe}(\text{H}_2\text{O})_6]^{2+} \, ? \] 

Which of the following coordination complex ions exhibits structural asymmetry leading to optical isomerism?
An organic compound with the molecular formula \(\text{C}_7\text{H}_8\text{O}\) is completely insoluble in water but dissolves readily in an aqueous \(\text{NaOH}\) solution. When treated with bromine water, it forms a white precipitate. Identify the compound.