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

The number of solutions of the equation \[ 3 \sin^2 x - 7 \sin x + 2 = 0 \] in the interval \( [0, 5\pi] \) is
A differentiable function \( f(x) \) has a relative minimum at \( x = 0 \), then the function \( y = f(x) + ax + b \) has a relative minimum at \( x = 0 \) for
The solution of the differential equation \[ (x^2 - yx^2) \frac{dy}{dx} + y^2 + xy^2 = 0 \] is
The maximum number of points into which 4 circles and 4 straight lines intersect, is
The length of the axes of the conic \[ 9x^2 + 4y^2 - 6x + 4y + 1 = 0 \] are
The function \( f:[0,3] \to [1,29] \) defined by \[ f(x) = 2x^3 - 15x^2 + 36x + 1 \] is
The expression \[ \left| (a + 1)^2 \, (b + 1)^2 \, (c + 1)^2 \right| \] is equal to
Consider line segments of lengths 1, 2, 3, ..., 10, what is the number of triangles that can be formed from them?

How many paths are there from the point A to the point B in the figure below, if no point in a path is to be traversed more than once?

Which of the following is the correct Lewis structure for the ionic compound Ca(ClO2)2?
The decreasing order of reactivity towards electrophilic addition of the following is: I. CH = CH
II. CH_2 = CH_2
III. H_2C = CH - Cl
An aqueous solution of 2% (wt/wt) non-volatile solute exerts a pressure of 1.004 bar at the boiling point of the solvent. What is the molecular mass of the solute?

A cell has been set up as shown in the following diagram and E$^0$ has been measured as 1.00V at 25°C. Calculate $\Delta$G$^0$ for the reaction.

Select the incorrect statement.
Which of the following statements is not correct?
Which of the following statement is applicable for the Tyndall effect?
Which of the following flux is used to remove acidic impurities in metallurgical processes?
The ozone layer forms naturally by
The metallic sodium dissolved in liquid ammonia to form a deep blue colour solution. The deep blue colour is due to the formation of
On reduction of glycolic acid with HI, the product formed is
A catalyst will change all of the following except
Which of the following is used as a food preservative?
Silica is a network solid of silicon and oxygen atoms. The empirical formula for silica is SiO₂. In silica, to how many oxygen atoms is each silicon bonded?
Curve X on the graph below shows the volume of oxygen formed during the catalytic decomposition of a 1.0 mol dm$^{-3}$ solution of hydrogen peroxide.

Which change would produce the curve Y?
Rate of dehydration of alcohols follows the order