List of practice Questions

Number of deactivating groups among: \( -Cl, -SO_3H, -OH, -NHC_2H_5, -COOCH_3, -CH_3 \)
X and Z respectively in the following reaction sequence are: \[ C_3H_6 \xrightarrow{X} Y \xrightarrow{C_6H_6/AlCl_3} Z \]
The number of 5-digit odd numbers greater than 40,000 that can be formed by using 3, 4, 5, 6, 7, 0 such that at least one of its digits must be repeated is:
If the angle between the pair of lines given by the equation \(ax^2 + 4xy + 2y^2 = 0\) is \(45^\circ\), then the possible values of 'a' are
$\text{2-chlorobutane} + \text{Cl}_2 \rightarrow \text{C}_4\text{H}_8\text{Cl}_2 \, (\text{isomers})$
$\text{Total number of optically active isomers shown by} \, \text{C}_4\text{H}_8\text{Cl}_2, \, \text{obtained in the above reaction is} \, \_\_\_\_\_\_.$
Match the following antibodies with their correct description:
AntibodyDescription
P. IgE(i) Cross the placenta
Q. IgG(ii) Dominant antibody produced in immune responses
R. IgM(iii) It is found in the mother's milk
S. IgA(iv) Responsible for autoimmune responses including allergies
Two persons A and B throw a pair of dice alternately until one of them gets the sum of the numbers appeared on the dice as 4 and the person who gets this result first is declared as the winner. If A starts the game, then the probability that B wins the game is:
While dealing with a customer who is very upset about some services provided by your hotel, which of the following you need most?
If the pair of tangents drawn to the circle \( x^2 + y^2 = a^2 \) from the point \( (10, 4) \) are perpendicular, then \( a \) is:
The perimeter of the locus of the point \( P \) which divides the line segment \( QA \) internally in the ratio 1:2, where \( A = (4, 4) \) and \( Q \) lies on the circle \( x^2 + y^2 = 9 \), is:
A plane surface, in the shape of a square of side 1 cm, is placed in an electric field \( \vec{E} = (100 \, \text{N/C}) \hat{i \) such that the unit vector normal to the surface is given by \( \hat{n} = 0.8 \hat{i} + 0.6 \hat{k} \). Find the electric flux through the surface.}
In the given pedigree chart, ‘P’ is a female suffering from a disease, which is denoted by ‘A’ (dominant allele) and ‘a’ (recessive allele). Find the genotype of ‘P’.
pedigree chart
The general solution of \( 4 \cos 2x - 4 \sqrt{3} \sin 2x + \cos 3x - \sqrt{3} \sin 3x + \cos x - \sqrt{3} \sin x = 0 \) is:
216 small identical liquid drops each of surface area \( A \) coalesce to form a bigger drop. If the surface tension of the liquid is \( T \), the energy released in the process is
L.C.M. of \(x^3 - 9x\) and \(x^2 - 2x - 3\) is
In \( \triangle ABC \), prove the identity: $$ a^2 \sin 2B + b^2 \sin 2A = $$ 
The \( n^{th} \) term of the series \[ 1 + (3+5+7) + (9+11+13+15+17) + \dots \] is:
If \( (r, \theta) \) denotes \( r (\cos \theta + i \sin \theta) \). If \[ x = (1, \alpha), \quad y = (1, \beta), \quad z = (1, \gamma) \] and \( x + y + z = 0 \), then \[ \sum \cos (2\alpha - \beta - \gamma) = \]
Find the next number in the series 5, 20, 24, 6, 2, 8,
In the expansion of \(\frac{2x+1}{(1+x)(1-2x)}\), the sum of the coefficients of the first 5 odd powers of \(x\) is:
If the ratio of the terms equidistant from the middle term in the expansion of \( (1 + x)^{12} \) is \( \frac{1}{256} \), then the sum of all the terms of the expansion \( (1 + x)^{12} \) is:
A ball is projected at an angle of \( 45^\circ \) with the horizontal. It passes through a wall of height \( h \) at a horizontal distance \( d_1 \) from the point of projection and strikes the ground at a distance \( d_1 + d_2 \) from the point of projection, then \( h \) is:
The correct statement(s) regarding P, Q, R, and S is (are) :
Chemical Structure
Arrange the following elements in increasing order of first ionization enthalpy:
Li, Be, B, C, N
Choose the correct answer from the options given below:
The journal entry for treatment of goodwill, when a new partner brings his share of goodwill in cash and one of the old partners gains, involves the following
(A) Gaining Partner’s Capital Account is debited
(B) Premium for Goodwill Account is debited
(C) Sacrificing Partner’s Capital Account is credited
(D) Gaining Partner’s Capital Account is credited