Which group elements are called transition metals?

The reaction of benzene with chlorine in the presence of iron gives:

The increasing order of nucleophilicity of the following nucleophiles is:

(i) \(\mathrm{CH}_3 \mathrm{CO}_2^{\ominus}\)

(ii) \(\mathrm{H}_2 \mathrm{O}\)

(iii) \(\mathrm{CH}_3 \mathrm{SO}_3{ }^{\ominus}\)

(iv) \(\stackrel{\ominus}{\mathrm{O}} \mathrm{H}\)

The band spectrum is caused by:

The number of octahedral voids per atom present in a cubic close-packed structure is:

Thermodynamics is not concerned about:

A mixture having 2 g of hydrogen and 32 g of oxygen occupies how much volume at NTP?

The correct name of \(\left[ Pt \left( NH _{3}\right)_{4} Cl _{2}\right]\left[ P tCl _{4}\right]\) is:

Soaps are sodium or potassium salts of long chain _________.

Which of the following is not an actinoid?

In the following reaction:

\(\mathrm{HCO}_{3}^{-}+\mathrm{H}_{2} \mathrm{O} \rightleftharpoons \mathrm{CO}_{3}^{2-}+\mathrm{H}_{3} \mathrm{O}^{+}\)

Which two substances are Bronsted base?

\(0 \mathrm{~L}\) each of \(\mathrm{CH}_{4}\) (g) at \(1.00 \mathrm{~atm}\), and \(\mathrm{O}_{2}\) (g) at \(4.00\) atm, at \(300^{\circ} \mathrm{C}\) are taken and allowed to react by initiating the reaction with the help of a spark.

\(\mathrm{CH}_{4}(g)+2 \mathrm{O}_{2}(g) \rightarrow \mathrm{CO}_{2}(g)+2 \mathrm{H}_{2} \mathrm{O}(g), \mathrm{H}=-802 \mathrm{~kJ}\)

Mass of \(\mathrm{CO}_{2}(\mathrm{~g})\) produced in the reaction is:

The order of stability of the following carbocations is :

\(\mathrm{CH}_2=\mathrm{CH}-\stackrel{\oplus}{\mathrm{C}} \mathrm{H}_2 ; \mathrm{CH}_3-\mathrm{CH}_2-\stackrel{\oplus}{\mathrm{CH}}{ }_2\)

Which of the following compounds will undergo Cannizzaro reaction? 

Which of the following is the correct definition for crystal lattice?

Which one of the following compounds is stable?

If Cl₂ gas is passed in to aqueous solution of Kl containing some CCl₄ and the mixture is shaken then:

A reaction has both ΔH and ΔS negative. The rate of reaction:

A solution is obtained by mixing 300 g of 25% solution and 400 g of 40% solution by mass. Calculate the mass percentage of the solvent in resulting solution.

Find the incorrect match.

Oxygen molecule exhibits:

Be exhibits the diagonal relationship with:

Following reactions are taking place in a Galvanic cell, 

\(Z n \rightarrow Z n^{2+}+2 e^{-} ; A g^{+}+e^{-} \rightarrow A g\)

Which of the given representations is the correct method of depicting the cell?

What is the structure of the major product when phenol is treated with bromine water?

A hydrocarbon has molecular formula C₂H₆. Which of the class of hydrocarbons cannot have this formula?

The amount of water produced by the combustion of 16 g of methane is:

At \(300 \mathrm{~K}\), a sample of \(3.0 \mathrm{~g}\) of gas A occupies the same volume as \(0.2 \mathrm{~g}\) of hydrogen at \(200 \mathrm{~K}\) at the same pressure. The molar mass of gas \(\mathrm{A}\) is _______ \(\mathrm{gmol}^{-1}\). (nearest integer) Assume that the behaviour of gases as ideal.

(Given : The molar mass of hydrogen \(\left(\mathrm{H}_2\right)\) gas is \(2.0 \mathrm{gmol}^{-1}\).)

The rate for the reaction between ionic compounds cannot be determined because they are generally:

During the electrolysis of molten sodium chloride, the time required to produce 0.10 mol of chlorine gas using a current of 3 amperes is

Sucrose is composed of_______.

Better method for preparation of \(\mathrm{BeF}_2\), among the following is

Choose the correct statement from the following.

How many electrons are involved in the following redox reaction? 

\(\mathrm{Cr}_{2} \mathrm{O}_{7}^{2-}+\mathrm{Fe}^{2+}+\mathrm{C}_{2} \mathrm{O}_{4}^{2-} \rightarrow \mathrm{Cr}^{3+}+\mathrm{Fe}^{3+}+\mathrm{CO}_{2}\) (Unbalanced)

Which of the following transition metal ions has highest magnetic moment?

A solution of acetone in ethanol:

What happens to the number of valence electrons in atoms of elements as we go down a group in the periodic table?

Among the following, the one has the highest mass is:

Which of the following is not a neutral ligand?

Which of the following names is correct for \(\mathrm{\underset { \overset { | }{ CHO }  }{ { CH }_{ 2 } } -\underset { \overset { | }{ CHO }  }{ CH } -\underset { \overset { | }{ CHO }  }{ { CH }_{ 2 } }}\)?

\(\mathrm{CH}_4\) is adsorbed on \(1 \mathrm{~g}\) charcoal at \(0^{\circ} \mathrm{C}\) following the Freundlich adsorption isotherm. \(10.0 \mathrm{~mL}\) of \(\mathrm{CH}_4\) is adsorbed at \(100 \mathrm{~mm}\) of \(\mathrm{Hg}\), whereas \(15.0 \mathrm{~mL}\) is adsorbed at \(200 \mathrm{~mm}\) of \(\mathrm{Hg}\). The volume of \(\mathrm{CH}_4\) adsorbed at \(300 \mathrm{~mm}\) of \(\mathrm{Hg}\) is \(10^{\mathrm{x}} \mathrm{mL}\). The value of \(\mathrm{x}\) is _________ \(\times 10^{-2}\). (Nearest integer)

[Use \(\left.\log _{10} 2=0.3010, \log _{10} 3=0.4771\right]\)

Which of the following compounds is formed on the electrolytic reduction of nitrobenzene in presence of strong acid?

The compound which has one isopropyl group is:

Which of the following is a functional isomer of Dimethyl ether?

A deuterium nucleus consists of which of the following combination of particles?

Which of the following is not a saturated hydrocarbon?

In electrolytic conductors, the conductance is due to:

The correct order of magnetic moments (spin only values in B.M.) among the following is

The major product formed in the following reaction is

Calculate the mass of sodium acetate \(\left(\mathrm{CH}_{3} \text { COONa }\right)\) required to make 500mL of 0.375 molar aqueous solution. Molar mass of sodium acetate is\(82.0245 \mathrm{g} \mathrm{mol}^{-1}\)

Minerals associated with redox reactions are:

The acylation of benzene is called _____ reaction.

Tritium ________ radioactive isotope.

For a chemical reaction,

\(\mathrm{m}_{1} \mathrm{~A}+\mathrm{m}_{2} \mathrm{~B} \rightarrow \mathrm{n}_{1} \mathrm{C}+\mathrm{n}_{2} \mathrm{D}\)

The ratio of rate of disappearance of \(\mathrm{A}\) to that of appearance of \(\mathrm{C}\) is:

Match List-I with List-II.

Choose the correct answer from the options given below.

Which of the following is formed in the reaction of an aldehyde and primary amine?

A mixture is known to contain \(\mathrm{NO}_{3}^{-}\)and \(\mathrm{NO}_{2}^{-}\). Before performing ring test for \(\mathrm{NO}_{3}^{-}\)the aqueous solution should be made free of \(\mathrm{NO}_{2}^{-}\). This is done by heating aqueous extract with:

Inert gases such as helium behave like ideal gases over a wide range of temperature .However; they condense into the solid state at very low temperatures. It indicates that at very low temperature there is a:

In the lowest energy level of hydrogen atom, electron has an angular momentum equal to:

Which amongst the given plots is the correct plot for pressure (p) vs density (d) for an ideal gas?

The area bounded by \(y=\log x, x\)-axis and ordinates \(x=1, x=2\) is:

The value of \(x\) for which \(|x+1|+\sqrt{(x-1)}=0\)

If \(\beta\) is perpendicular to both \(\vec{\alpha}\) and \(\vec{\gamma}\) where \(\vec{\alpha}=\hat{k}\) and \(\vec{\gamma}=2 \hat{\mathrm{i}}+3 \hat{\mathrm{j}}+4 \mathrm{k},\) then what is \(\beta\) equal to?

If \(A=\left[\begin{array}{cc}\cos 2 \theta & -\sin 2 \theta \\ \sin 2 \theta & \cos 2 \theta\end{array}\right]\) and \(A + A ^{T}= I\) Where \(I\) is the unit matrix of \(2 \times 2\) and  \(A ^{T}\) is the transpose of \(A\), then the value of \(\theta\) is equal to:

The corner points of the feasible region determined by the system of linear constraints are \((0,10),(5,5),(25,20)\) and \((0,30)\). Let \(Z=p x+q y\) , where \(p, q>0\). Condition on \(p\) and \(q\) so that the maximum of \(Z\) occurs at both the points \((25,20)\) and \((0,30)\) is:

Which one of the following is correct?

If the mode of the scores 10, 12, 13, 15, 15, 13, 12, 10, x is 15, then what is the value of x?

Form the differential equation of the following \(y^2=a\left(b^2-x^2\right)\).

Find the area under the curve between \(\mathrm{y}=\mathrm{x}\) and \(\mathrm{y}=2 \mathrm{x}+6\).

If \({f}(2 {a}-{x})={f}({x})\) and \(\int_{0}^{a} f(x) d x=\lambda\) then \(\int_{0}^{2 a} f(x) d x\) is:

What is the value of the determinant \(\left|\begin{array}{ccc}\mathrm{i} & \mathrm{i}^{2} & \mathrm{i}^{3} \\ \mathrm{i}^{4} & \mathrm{i}^{6} & \mathrm{i}^{8} \\ \mathrm{i}^{9} & \mathrm{i}^{12} & \mathrm{i}^{15}\end{array}\right|\) where \(\mathrm{i}=\sqrt{-1} ?\)

What is the number of different messages that can be represented by three a’s and two b’s?

A bag contains \(2 n+1\) coins, \(n\) coins have tails on both sides, whereas \(n+1\) coins are fair. A coin is picked on random from the bag and tossed. If the probability that toss in tail is \(\frac{31}{42}\), total numbers of coins in the bag are:

If the feasible region for a solution of linear inequations is bounded, it is called as:

What is the probability of getting a sum 9 from two throws of a dice?

If \(\lim _{x \rightarrow 0} \frac{\log (1+\sin x)}{x}=k\), the value of \(k\) is:

If \(6 \sin ^{2} x-2 \cos ^{2} x=4\), then find the value of \(\tan x \).

Three planes x + y = 0, y + z = 0, and x + z = 0:

Of the members of three athletic teams in a school, 21 are in the cricket team, 26 are in the hockey team and 29 are in the football team. Among them, 14 play hockey and cricket, 15 play hockey and football, 12 play football and cricket and 8 play all three games. The total number of members in the three athletic teams is:

If \(\sin ^{-1} \frac{3}{x}+\sin ^{-1} \frac{9}{x}=\frac{\pi}{2}\) then what is the value of \(x\) ?

For all positive integrals \(10^{\mathrm{n}}+3^{4 \mathrm{n}+2}+8\) is divisible by:

Which of the following functions, \(f: R \rightarrow R\) is one-one?

The coordinates of the foot of the perpendicular drawn from the point A(1,0,3) to the join of the points B(4,7,1) and C(3,5,3) are:

If \(\mathrm{P}, \mathrm{Q}\) and \(\mathrm{R}\) are three sets, then which of the following is correct?

Find the value of $\theta$ if (3+2i sin $\theta$ )/(1-2i sin $\theta$ ) is purely real or purely imaginery.

Find the maximum value of \(4 x+7 y\) with the conditions \(3 x+8 y \leq 24, y \leq 2, x \geq 0\) and \(y \geq 0\).

The factorized form of the following determinant is:

\(\left|\begin{array}{ccc}1 & l & l^{2} \\ 1 & m & m^{2} \\ 1 & n & n^{2}\end{array}\right|\)

The angle between the lines x – 2y = y and y – 2x = 5 is:

Find the points on the curve \(y=x^2\) at which the slope of the tangent is equal to the \(y\)-coordinate of the point.

The integral \(\int \frac{\left(1-\frac{1}{\sqrt{3}}\right)(\cos x-\sin x)}{\left(1+\frac{2}{\sqrt{3}} \sin 2 x\right)} d x\) is equal to :

If \(A =\left[\begin{array}{ccc}1 & -1 & 0 \\ 3 & 2 & -1\end{array}\right]\) and \(B =\left[\begin{array}{l}1 \\ 3 \\ 5\end{array}\right]\), find \(( AB )^{T}\).

Evaluate the integral \(\int_{0}^{\frac{\pi}{4}} \sin ^{3} 2 t \cos 2 t ~d t\).

How many two-digit numbers are divisible by 4?

For any vector \(\alpha\), what is the value of \((\alpha . \hat{i}) \hat{i}+(\alpha . \hat{j}) \hat{j}+(\alpha. \hat{k}) \hat{k}\)

If \(x=\tan ^{-1}(\frac{1}{5})\) then \(\sin 2 x\) is equal to?

In any discrete series (when all values are not same) if \(x\) represent mean deviation about mean and \(y\) represent standard deviation, then which one of the following is correct?

A random variable $X$  takes values $0, 1, 2, 3, x$ , with probability 

$P(X=x)=k(x+1){\left(\frac{1}{5}\right)}^x$ where $P(X = 0)$ is a constant. Then, $P(X = 0)$ is :

If \({ }^{n} C_{15}={ }^{n} C_{8}\), then find the value of \(n\).

If \(2(3 x-4)-2<4 x-2 \geq 2 x-4 ;\) then the possible value of \(x\) can be:

If \(\cos ^{-1}\left(\frac{p}{a}\right)+\cos ^{-1}\left(\frac{q}{b}\right)=\alpha\), then \(\frac{p^{2}}{a^{2}}+k \cos \alpha+\frac{q^{2}}{b^{2}}=\sin ^{2} \alpha\) where \(\mathrm{k}\) is equal to:

Weather Forecast Company makes a forecast of raining at \(70 \%\). Company's forecast are only correct \(60 \%\) of the time. Find the probability of it correctly forecasting rain?

A set containing \(n\) elements, has exactly ___________ subsets.

Let $m\in N$ , and suppose three numbers are chosen at random from the numbers $1, 2, 3, ..., m$.

Statement - 1: If $m = 2n$ for some $n\in N$ , then the chosen numbers are in A.P. with probability $\frac{3}{2(2n-1)}$ 

Statement - 2: If $m = 2n + 1$ for some $n\in N$, then the chosen numbers are in A.P. with probability $\frac{3n}{4n^2-1}$

What is \(\cos ^{-1}\left(\frac{1-x^{2}}{1+x^{2}}\right)\) equal to?

If $\left|z_1\right|=2, |z_2-1|=4$,

If the shortest distance between the lines $\frac{x-4}{1}=\frac{y+1}{2}=\frac{z}{-3}$ and $\frac{x-\lambda }{2}=\frac{y+1}{4}=\frac{z-2}{-5}$ is $\frac{6}{\sqrt{5}}$ , then the sum of all possible values of λ is:

Find the general solution: \(\sec ^{2} x \tan y\ d x+\sec ^{2} y \tan x\ d y=0\)

What is the value of the determinant \(\left|\begin{array}{ccc}{i} & {i}^{2} & {i}^{3} \\ {i}^{4} & {i}^{6} & {i}^{8} \\ {i}^{9} & {i}^{12} & {i}^{15}\end{array}\right|\) where \({i}=\sqrt{-1}\) ?

How many three- digits numbers are there which are divisible by 9.

The domain of the function \(f(x)=\sqrt{1-\sqrt{1-\sqrt{1-x^{2}}}}\) is:

Statement - 1: If $\frac{1}{5}(1+5p),\frac{1}{3}(1+2p),\frac{1}{3}(1-p)and\frac{1}{5}(1-3p)$ are the probabilities of four mutually exclusive events, then $p$ can take infinite number of values.

Statement - 2: If $A, B, C$ and $D$ are four mutually exclusive events, then $P\left(A\right), P\left(B\right), P\left(C\right), P\left(D\right)\ge 0$ and $P\left(A\right) + P\left(B\right) + P\left(C\right) + P\left(D\right)\le 1$.

If \(a=\lim _{n \rightarrow \infty} \sum_{k=1}^n \frac{2 n}{n^2+k^2}\) and \(f(x)=\sqrt{\frac{1-\cos x}{1+\cos x}}, x \in(0,1)\), then

\(\mathrm{n}(\mathrm{n}+1)(\mathrm{n}+5)\) is a multiple of 3 is true for:

XY-plane divides the line joining the points \(A(2,3,-5)\) and \(B(-1,-2,-3)\) in the ratio:

If \(\frac{x^{2}}{a^{2}}+\frac{y^{2}}{b^{2}}=1\), then \(\frac{d y}{d x}=?\)

Find the equation of tangent to the curve \(y=\sqrt{5 x-3}-2\), which is parallel to the line \(4 x-2 y+3=0\)?

The solution of the differential equation \(y d x+\left(x+x^{2} y\right) d y=0\) is: