List of top Questions asked in Guru Gobind Singh Indraprastha University Common Entrance Test

\[ \int \frac{x^2}{(x \sin x + \cos x)^2} dx \text{ is equal to} \]
\[ \int_{-\pi/2}^{\pi/2} |\sin x| dx \text{ equals to} \]
A die is thrown twice and the sum of the numbers appearing is 6. Then, the conditional probability that the number 4 has appeared at least once is
\[ \lim_{x \to 0} \frac{\sqrt{1+x} - \sqrt{1 - x}}{x} \]
Choose the most appropriate options.
The period of the function \(f(x) = |\sin x| - |\cos x|\) is
Choose the most appropriate options.
The value of \({}^{40}C_0 + {}^{40}C_1 + {}^{40}C_2 + \ldots + {}^{40}C_{20}\) is
There are 3 true coins and 1 false coin with 'head' on both sides. A coin is chosen at random and tossed 4 times. If 'head' occurs all the 4 times, then the probability that the false coin has been chosen and used is
If \(x = e^y + e^{-y} - x,\, x>0\) then \(\frac{dy}{dx}\) is
In how many ways can the four walls of a room be painted with three colours such that no two adjacent walls have the same colour?
Choose the most appropriate options.
\[ \int \frac{x^2 - 2}{x \sqrt{x^2 - 1}}\,dx \text{ equal to} \]
Which of the following statements is most likely true concerning the given reaction?
2A(g) + B(g) → 2C(g) + D(s)
In aqueous solution Cu(+1) salts are unstable because
Name the given compound : Cu(ClO$_4$)$_2$
Which of the following compound in its anionic form is aromatic.
Which of the following changes to a reaction will always increase the rate constant for that reaction?
Which statement about the bonding between carbon atoms is correct?
A 13 g gaseous sample of an unknown hydrocarbon occupies a volume of 11.2 L at STP. What is the hydrocarbon?
Immediately, upon bringing a hot piece of metal into a room, the heat is felt from 5 m away. The type of heat transfer is probably
Equal molar quantities of oxygen and hydrogen gas were placed in container A under high pressure. A small portion of the mixture was allowed to effuse for a very short time into the vacuum in container B. Which of the following is true concerning partial pressures of the gases at the end of the experiment?
Which of the following periodic properties increases with increasing atomic number within a family in the periodic table?
Given the following notation for an electrochemical cell,
Pt(s) $|$ H$_2$(g)$|$ H$^+$(aq) $//$ Ag$^+$(aq)$|$Ag(s)
Which of the following represents the overall balanced (net) cell reaction?
H$_2$ can be added to ethylene in the presence of a heterogeneous catalyst such as solid. What might account for the initial attraction between the hydrogen molecules and the solid platinum?
Which of the following is true for an electrolytic cell?
What type of intermolecular bonding occurs in gaseous CH$_4$?
Which of the following demonstrates non-ideal behaviour of a gas?