An octahedral complex of
Question: An octahedral complex of $\mathrm{Co}^{3+}$ is diamagnetic. The hybridisation involved in the formation of the complex is :$d^{2} s p^{3}$$d s p^{3} d$$d s p^{2}$$s p^{3} d^{2}$Correct Option: 1 Solution: Solution not required...
Read More →Which of the following compounds are antiaromatic :-
Question: Which of the following compounds are antiaromatic :- (1) and (6)(2) and (5)(1) and (5)(5) and (6)Correct Option: , 4 Solution: Solution not required...
Read More →The slope of the line touching both, the parabolas
Question: The slope of the line touching both, the parabolas $y^{2}=4 x$ and $x^{2}=-32 y$ is :$\frac{1}{2}$$\frac{3}{2}$$\frac{1}{8}$$\frac{2}{3}$Correct Option: Solution:...
Read More →If all the words (with or without meaning) having five letters, formed using
Question: If all the words (with or without meaning) having five letters, formed using the letters of the word SMALL and arranged as in a dictionary; then the position of the word SMALL is:$58^{\text {th }}$$46^{\text {th }}$$59^{\text {th }}$$52^{\text {nd }}$Correct Option: 1 Solution:...
Read More →Solve this following
Question: A box 'A' contains 2 white, 3 red and 2 black balls. Another box 'B' contains 4 white, 2 red and 3 black balls. If two balls are drawn at random, without replacement, from a randomly selected box and one ball turns out to be white while the other ball turns out to be red, then the probability that both balls are drawn from box 'B' is :$\frac{7}{16}$$\frac{7}{8}$$\frac{9}{16}$$\frac{9}{32}$Correct Option: 1 Solution: Solution not required...
Read More →The area (in sq. units) of the region
Question: The area (in sq. units) of the region $\left\{(x, y\}: x \geq 0, x+y \leq 3, x^{2} \leq 4 y\right.$ and $\left.y \leq 1+\sqrt{x}\right\}$ is:$\frac{5}{2}$$\frac{59}{12}$$\frac{3}{2}$$\frac{7}{3}$Correct Option: 1 Solution: Solution Not Required...
Read More →The correct statement about the magnetic properties of
Question: The correct statement about the magnetic properties of $\left[\mathrm{Fe}(\mathrm{CN})_{6}\right]^{3-}$ and $\left[\mathrm{FeF}_{6}\right]^{3-}$ is : $(Z=26)$.(1) $\left[\mathrm{Fe}(\mathrm{CN})_{6}\right]^{3-}$ is paramagnetic, $\left[\mathrm{FeF}_{6}\right]^{3-}$ is diamagnetic.both are diamagnetic.$\left[\mathrm{Fe}(\mathrm{CN})_{6}\right]^{3-}$ is diamagnetic, $\left[\mathrm{FeF}_{6}\right]^{3-}$ is paramagnetic.both are paramagneticCorrect Option: , 4 Solution: Solution not requir...
Read More →The point of intersection of the normals to the parabola
Question: The point of intersection of the normals to the parabola $\mathrm{y}^{2}=4 \mathrm{x}$ at the ends of its latus rectum is :(0, 3)(2, 0)(3, 0)(0, 2)Correct Option: Solution:...
Read More →ortho-Nitrophenol is less soluble
Question: ortho-Nitrophenol is less soluble in water than $\mathrm{p}-$ and $\mathrm{m}-$ Nitrophenols because :-Melting point of o-Nitrophenol is lower than those of $m$ - and $\mathrm{p}$ - isomerso-Nitrophenol is more volatile in steam than those of $\mathrm{m}-$ and $\mathrm{p}$ - isomerso-Nitrophenol shows Intramolecular H-bondingo-Nitrophenol shows Intermolecular H-bondingCorrect Option: , 3 Solution: Solution not required...
Read More →The number of integers greater than 6000 that can be formed,
Question: The number of integers greater than 6000 that can be formed, using the digits 3,5,6,7 and 8 without repetition, is :12072216192Correct Option: , 4 Solution:...
Read More →The non aromatic compound among the following is :-
Question: The non aromatic compound among the following is :-Correct Option: 1 Solution: Solution not required...
Read More →Statement 1 : The line
Question: Statement 1 : The line $\mathrm{x}-2 \mathrm{y}=2$ meets the parabola, $\mathrm{y}^{2}+2 \mathrm{x}=0$ only at the point $(-2,-2)$ Statement 2 : The line $\mathrm{y}=\mathrm{mx}-\frac{1}{2 \mathrm{~m}}\left(\mathrm{~m}^{1} 0\right)$ is tangent to the parabola, $\mathrm{y}^{2}=-2 \mathrm{x}$ at the point $\left(-\frac{1}{2 m^{2}},-\frac{1}{m}\right)$Statement 1 is false; Statement 2 is true.Statement l is true; Statement 2 is true; Statement 2 is not a correct explanation for Statement1...
Read More →The area (in sq.units) of the region
Question: The area (in sq.units) of the region $\left\{(x, y): y^{2} \geq 2 x\right.$ and $\left.x^{2}+y^{2} \leq 4 x, x \geq 0, y \geq 0\right\}$ is :-$\frac{\pi}{2}-\frac{2 \sqrt{2}}{3}$$\pi-\frac{4}{3}$$\pi-\frac{8}{3}$$\pi-\frac{4 \sqrt{2}}{3}$Correct Option: , 3 Solution:...
Read More →Arrange the carbanions,
Question: Arrange the carbanions, $\left(\mathrm{CH}_{3}\right)_{3} \overline{\mathrm{C}}, \overline{\mathrm{C}} \mathrm{Cl}_{3},\left(\mathrm{CH}_{3}\right)_{2} \overline{\mathrm{CH}}, \mathrm{C}_{6} \mathrm{H}_{5} \overline{\mathrm{C}} \mathrm{H}_{2}$, in order of their decreasing stability$\overline{\mathrm{CCl}_{3}}\mathrm{C}_{6} \mathrm{H}_{5} \overline{\mathrm{C}} \mathrm{H}_{2}\left(\mathrm{CH}_{3}\right)_{2} \overline{\mathrm{C}} \mathrm{H}\left(\mathrm{CH}_{3}\right)_{3} \overline{\math...
Read More →Let A and B be two sets containing four and two elements respectively.
Question: Let $\mathrm{A}$ and $\mathrm{B}$ be two sets containing four and two elements respectively. Then the number of subsets of the set $\mathrm{A} \times \mathrm{B}$, each having at least three elements is :275510219256Correct Option: , 3 Solution:...
Read More →Solve this following
Question: Two different families $\mathrm{A}$ and $\mathrm{B}$ are blessed with equal number of children. There are 3 tickets to be distributed amongst the children of these families so that no child gets more than one ticket. If the probability that all the tickets go to the children of the family B is $\frac{1}{12}$, then the number of children in each family is : 3546Correct Option: , 2 Solution: Solution not required...
Read More →Statement 1 : The slope of the tangent at any point P on a parabola,
Question: Statement 1 : The slope of the tangent at any point $P$ on a parabola, whose axis is the axis of $x$ and vertex is at the origin, is inversely proportional to the ordinate of the point $P$. Statement 2 : The system of parabolas $\mathrm{y}^{2}=4 \mathrm{ax}$ satisfies a differential equation of degree 1 and order $1 .$Statement 1 is True Statement 2 is True, Statement 2 is a correct explanation for Statement 1.Statement 1 is True, Statement 2 is FalseStatement 1 is True, Statement 2 is...
Read More →The area of the region described by
Question: The area of the region described by $A=\left\{(x, y): x^{2}+y^{2} \leq 1\right.$ and $\left.y^{2} \leq 1-x\right\}$ is :$\frac{\pi}{2}+\frac{4}{3}$$\frac{\pi}{2}-\frac{4}{3}$$\frac{\pi}{2}-\frac{2}{3}$$\frac{\pi}{2}+\frac{2}{3}$Correct Option: 1 Solution:...
Read More →The number of points, having both co-ordinates as integers,
Question: The number of points, having both co-ordinates as integers, that lie in the interior of the triangle with vertices (0, 0), (0, 41) and (41, 0) is :820780901860Correct Option: , 2 Solution:...
Read More →Solve the equation
Question: Given : A circle, $2 x^{2}+2 y^{2}=5$ and a parabola, $y^{2}=4 \sqrt{5} x$. Statement-I : An equation of a common tangent to these curves is $y=x+\sqrt{5}$. Statement-II : If the line, $\mathrm{y}=\mathrm{mx}+\frac{\sqrt{5}}{\mathrm{~m}}\left(\mathrm{~m}^{1} 0\right)$ is their common tangent, then $\mathrm{m}$ satisfies $\mathrm{m}^{4}$Statement 1 is True Statement 2 is True, Statement 2 is a correct explanation for Statement 1. (Statement 1 is True, Statement 2 is False.Statement 1 is...
Read More →Solve the following
Question: Let $T_{n}$ be the number of all possible triangles formed by joining vertices of an $n$-sided regular polygon. If $T_{n+1}-T_{n}=10$, then the value of $n$ is:75108Correct Option: , 2 Solution:...
Read More →The equation which is balanced and represents
Question: The equation which is balanced and represents the correct product (s) is :$\left[\mathrm{Mg}\left(\mathrm{H}_{2} \mathrm{O}\right)_{6}\right]^{2+}+(\mathrm{EDTA})^{4} \stackrel{\text { excess } \mathrm{NaOH}}{\longrightarrow}[\mathrm{Mg}(\mathrm{EDTA})]^{2+}+6 \mathrm{H}_{2} \mathrm{O}$$\mathrm{CuSO}_{4}+4 \mathrm{KCN} \rightarrow \mathrm{K}_{2}\left[\mathrm{Cu}(\mathrm{CN})_{4}\right]+\mathrm{K}_{2} \mathrm{SO}_{4}$$\mathrm{Li}_{2} \mathrm{O}+2 \mathrm{KCl} \rightarrow 2 \mathrm{LiCl}...
Read More →Solve this
Question: At $518^{\circ} \mathrm{C}$, the rate of decomposition of a sample of gaseous acetaldehyde, initially at a pressure of 363 Torr, was $1.00$ Torr s $^{-1}$ when $5 \%$ had reacted and $0.5$ Torr $^{-1}$ when $33 \%$ had reacted. The order of the reaction is:3102Correct Option: , 4 Solution:...
Read More →Solve this following Question
Question: Let $f:[-2,3] \rightarrow[0, \infty)$ be a continuous function such that $\mathrm{f}(1-\mathrm{x})=f(\mathrm{x})$ for all $\mathrm{x} \in[-2,3]$. If $R_{1}$ is the numerical value of the area of the region bounded by $y=f(x), x=-2, x=3$ and the axis of $\mathrm{x}$ and $\mathrm{R}_{2}=\int_{-2}^{3} x f(x) d x$, then :$2 R_{1}=3 R_{2}$$\mathrm{R}_{1}=\mathrm{R}_{2}$$3 R_{1}=2 R_{2}$$\mathrm{R}_{1}=2 \mathrm{R}_{2}$Correct Option: , 4 Solution:...
Read More →Let A and B be two sets containing 2 elements and 4 elements
Question: Let $A$ and $B$ be two sets containing 2 elements and 4 elements respectively. The number of subsets of $A \times B$ having 3 or more elements is256220219211Correct Option: , 3 Solution:...
Read More →