There are two urns. Urn A has 3 distinct red balls and urn B has 9
Question: There are two urns. Urn A has 3 distinct red balls and urn B has 9 distinct blue balls. From each urn two balls are taken out at random and then transferred to the other. The number of ways in which this can be done is -33666108Correct Option: , 4 Solution:...
Read More →The rate of a reaction doubles
Question: The rate of a reaction doubles when its temperature changes from $300 \mathrm{~K}$ to $310 \mathrm{~K}$. Activation energy of such a reaction will be $\left(\mathrm{R}=8.314 \mathrm{JK}^{-1} \mathrm{~mol}^{-1}\right.$ and $\left.\log 2=0.301\right)$$53.6 \mathrm{~kJ} \mathrm{~mol}^{-1}$$48.6 \mathrm{~kJ} \mathrm{~mol}^{-1}$$58.5 \mathrm{~kJ} \mathrm{~mol}^{-1}$$60.5 \mathrm{~kJ} \mathrm{~mol}^{-1}$Correct Option: 1 Solution:...
Read More →Which of the following complex ions
Question: Which of the following complex ions will exhibit optical isomerism? $(\mathrm{en}=1,2$-diamine ethane)$\left[\mathrm{Co}(\mathrm{en})_{2} \mathrm{Cl}_{2}\right]^{+}$$\left[\mathrm{Zn}(\mathrm{en})_{2}\right]^{2+}$$\left[\mathrm{Co}\left(\mathrm{NH}_{3}\right)_{4} \mathrm{Cl}_{2}\right]^{+}$$\left[\mathrm{Cr}\left(\mathrm{NH}_{3}\right)_{2} \mathrm{Cl}_{2}\right]^{+}$Correct Option: 1 Solution: Solution not required...
Read More →The x-coordinate of the incentre of the triangle that has the coordinates of
Question: The x-coordinate of the incentre of the triangle that has the coordinates of mid points of its sides as (0, 1)(1, 1) and (1, 0) is :$2+\sqrt{2}$$2-\sqrt{2}$$1+\sqrt{2}$$1-\sqrt{2}$Correct Option: , 2 Solution:...
Read More →The area (in square units) bounded by the curves
Question: The area (in square units) bounded by the curves $y=\sqrt{x}, 2 y-x+3=0, x$-axis and lying in the first quadrant is :93618$\frac{27}{4}$Correct Option: 1 Solution:...
Read More →From 6 different novels and 3 different dictionaries
Question: From 6 different novels and 3 different dictionaries, 4 novels and 1 dictionary are to be selected and arranged in a row on a shelf so that the dictionary is always in the middle. Then the number of such arrangements is -At least 750 but less than 1000At least 1000Less than 500At least 500 but less than 750Correct Option: , 2 Solution:...
Read More →A box contains 15 green and 10 yellow balls.
Question: A box contains 15 green and 10 yellow balls. If 10 balls are randomly drawn, one-by-one, with replacement, then the variance of the number of green balls drawn is :-$\frac{6}{25}$$\frac{12}{5}$64Correct Option: , 2 Solution:...
Read More →For a first order reaction,
Question: For a first order reaction, (A) $\rightarrow$ products, the concentration of A changes from $0.1 \mathrm{M}$ to $0.025 \mathrm{M}$ in 40 minutes. The rate of reaction when the concentration of $\mathrm{A}$ is $0.01 \mathrm{M}$ is :$1.73 \times 10^{-4} \mathrm{M} / \mathrm{min}$$1.73 \times 10^{-5} \mathrm{M} / \mathrm{min}$$3.47 \times 10^{-4} \mathrm{M} / \mathrm{min}$$3.47 \times 10^{-5} \mathrm{M} / \mathrm{m}$Correct Option: , 3 Solution:...
Read More →The complex ion
Question: The complex ion $\left[\mathrm{Pt}\left(\mathrm{NO}_{2}\right)(\mathrm{Py})\left(\mathrm{NH}_{3}\right)\left(\mathrm{NH}_{2} \mathrm{OH}\right)\right]^{+}$will give :-4 isomers (Geometrical)2 isomers (Geometrical)3 isomers (Geometrical)6 isomers (Geometrical)Correct Option: , 3 Solution: Solution not required...
Read More →The area bounded between the parabolas
Question: The area bounded between the parabolas $x^{2}=\frac{y}{4}$ and $x^{2}=9 y$, and the straight line $y=2$ is :$10 \sqrt{2}$$20 \sqrt{2}$$\frac{10 \sqrt{2}}{3}$$\frac{20 \sqrt{2}}{3}$Correct Option: , 4 Solution:...
Read More →The rate of a chemical reaction
Question: The rate of a chemical reaction doubles for every $10^{\circ} \mathrm{C}$ rise of temperature. If the temperature is raised by $50^{\circ} \mathrm{C}$, the rate of the reaction increases by about :-32 times64 times10 times24 timesCorrect Option: 1 Solution:...
Read More →Let two fair six-faced dice
Question: Let two fair six-faced dice $\mathrm{A}$ and $\mathrm{B}$ be thrown simultaneously. If $\mathrm{E}_{1}$ is the event that die A shows up four, $E_{2}$ is the event that die $B$ shows up two and $E_{3}$ is the event that the sum of numbers on both dice is odd, then which of the following statements is NOT true?$\mathrm{E}_{1}, \mathrm{E}_{2}$ and $\mathrm{E}_{3}$ are independent.$\mathrm{E}_{1}$ and $\mathrm{E}_{2}$ are independent.$\mathrm{E}_{2}$ and $\mathrm{E}_{3}$ are independent.$...
Read More →Solve the equation
Question: If $\alpha, \beta \in C$ are the distinct roots of the equation $x^{2}-x+1=0$, then $\alpha^{101}+\beta^{107}$ is equal to-012- 1Correct Option: , 2 Solution:...
Read More →Which among the following will be named
Question: Which among the following will be named as dibromidobis (ethylene diamine) chromium (III) bromide ?$\left[\mathrm{Cr}(\mathrm{en}) \mathrm{Br}_{2}\right] \mathrm{Br}$$\left[\mathrm{Cr}(\mathrm{en})_{3}\right] \mathrm{Br}_{3}$$\left[\mathrm{Cr}(\mathrm{en})_{2} \mathrm{Br}_{2}\right] \mathrm{Br}$$\left[\mathrm{Cr}(\mathrm{en}) \mathrm{Br}_{4}\right]^{-}$Correct Option: , 3 Solution: Solution not required...
Read More →The area bounded by the curves
Question: The area bounded by the curves $y^{2}=4 x$ and $x^{2}=4 y$ is :-0$\frac{32}{3}$$\frac{16}{3}$$\frac{8}{3}$Correct Option: , 3 Solution:...
Read More →The sum of all real values of
Question: The sum of all real values of $x$ satisfying the equation $\left(x^{2}-5 x+5\right)^{x^{2}+4 x-60}=1$ is :-53- 46Correct Option: , 2 Solution: Sum = 3...
Read More →Statement - 1: For each natural number
Question: Statement - 1: For each natural number $\mathrm{n},(\mathrm{n}+1)^{7}-\mathrm{n}^{7}-1$ is divisible by $7 .$ Statement - 2: For each natural number $\mathrm{n}, \mathrm{n}^{7}-\mathrm{n}$ is divisible by 7 .Statement-1 is false, statement-2 is true.Statement-1 is true, statement-2 is true; Statement-2 is correct explanation for statement-1.Statement-1 is true, statement-2 is true; Statement-2 is not a correct explanation for statement-1.Statement-1 is true, statement-2 is false.Correc...
Read More →A reactant (A) forms two products :
Question: A reactant (A) forms two products : $\mathrm{A} \stackrel{\mathrm{k}_{1}}{\longrightarrow} \mathrm{B}$, Activation Energy $\mathrm{Ea}_{1}$ $\mathrm{A} \stackrel{\mathrm{k}_{1}}{\longrightarrow} \mathrm{C}$, Activation Energy $\mathrm{Ea}_{2}$ If $\mathrm{Ea}_{2}=2 \mathrm{Ea}_{1}$, then $\mathrm{k}_{1}$ and $\mathrm{k}_{2}$ are related as :-$\mathrm{k}_{1}=2 \mathrm{k}_{2} \mathrm{e}^{\mathrm{Ea}_{z} / \mathrm{RT}}$$\mathrm{k}_{1}=\mathrm{k}_{2} \mathrm{e}^{\mathrm{Ea}_{4} / \mathrm{R...
Read More →Solve this following
Question: Let $\mathrm{A}$ and $\mathrm{B}$ be two events such that $\mathrm{P}(\overline{\mathrm{A} \cup \mathrm{B}})=\frac{1}{6}, \mathrm{P}(\mathrm{A} \cap \mathrm{B})=\frac{1}{4}$ and $\mathrm{P}(\overline{\mathrm{A}})=\frac{1}{4}$, Where $\overline{\mathrm{A}}$ stands for the complement of the event $A$. Then the events $A$ and $B$ are :mutually exclusive and independent.equally likely but not independent.independent but not equally likely.independent and equally likely.Correct Option: , 3 ...
Read More →Which one of the following complex ions
Question: Which one of the following complex ions has geometrical isomers ?$\left[\mathrm{Co}(\mathrm{en})_{3}\right]^{3+}$$\left[\mathrm{Ni}\left(\mathrm{NH}_{3}\right)_{5} \mathrm{Br}\right]^{+}$$\left[\mathrm{Co}\left(\mathrm{NH}_{3}\right)_{2}(\mathrm{en})_{2}\right]^{3+}$$\left[\mathrm{Cr}\left(\mathrm{NH}_{3}\right)_{4}(\mathrm{en})\right]^{3+}$Correct Option: , 3 Solution: Solution not required...
Read More →Solve the equation
Question: Let $\alpha$ and $\beta$ be the roots of equation $x^{2}-6 x-2=0$. If $a_{n}=\alpha^{n}-\beta^{n}$, for $n \geq 1$, then the value of $\frac{a_{10}-2 a_{8}}{2 a_{9}}$ is equal to :3- 3- 46Correct Option: 1 Solution:...
Read More →Consider the reaction:
Question: Consider the reaction: $\mathrm{Cl}_{2}(\mathrm{aq})+\mathrm{H}_{2} \mathrm{~S}(\mathrm{aq}) \rightarrow \mathrm{S}(\mathrm{s})+2 \mathrm{H}^{+}(\mathrm{aq})+2 \mathrm{Cl}^{-}(\mathrm{aq})$ The rate equation for this reaction is rate $=\mathrm{k}\left[\mathrm{Cl}_{2}\right]\left[\mathrm{H}_{2} \mathrm{~S}\right]$ Which of these mechanisms is/are consistent with this rate equation? 1. $\mathrm{Cl}_{2}+\mathrm{H}_{2} \mathrm{~S} \rightarrow \mathrm{H}^{+}+\mathrm{Cl}^{-}+\mathrm{Cl}^{+}+...
Read More →Solve the equation
Question: Let $\alpha$ and $\beta$ be the roots of equation $x^{2}-6 x-2=0$. If $a_{n}=\alpha^{n}-\beta^{n}$, for $n \geq 1$, then the value of $\frac{a_{10}-2 a_{8}}{2 a_{9}}$ is equal to :3- 3- 46Correct Option: 1 Solution:...
Read More →The area of the region enclosed by the curves
Question: The area of the region enclosed by the curves $y=x, x=e, y=\frac{1}{x}$ and the positive $x$-axis is:-$\frac{3}{2}$ square units$\frac{5}{2}$ square units$\frac{1}{2}$ square units1 square unitsCorrect Option: , 3 Solution:...
Read More →Among the ligands
Question: Among the ligands $\mathrm{NH}_{3}$, en, $\mathrm{CN}^{-}$and $\mathrm{CO}$ the correct order of their increasing field strength, is :-$\mathrm{CO}\mathrm{NH}_{3}\mathrm{en}\mathrm{CN}^{-}$$\mathrm{NH}_{3}$ en $\mathrm{CN}^{-}\mathrm{CO}$$\mathrm{CN}^{-}\mathrm{NH}_{3}\mathrm{CO}$ enen $\mathrm{CN}^{-}\mathrm{NH}_{3}\mathrm{CO}$Correct Option: , 2 Solution: Solution not required...
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