Recent questions tagged jeemain

A gas mixture of $3l$ of propane $(C_3H_8)$ and butane $C_4H_{10}$ on complete combustion at $25C^{\large\circ}$ produced $10l$ $CO_2$.Find out the composition of gas mixture.

asked Nov 6, 2013 by sreemathi.v

1 answer

The angles of a triangle are in the ratio $3:5:10$.Then the ratio of the smallest side to the greatest side is :

asked Nov 6, 2013 by meena.p

1 answer

If, in a $\Delta \; ABC, \tan \large\frac{A}{2}=\frac{5}{6}$ and $\tan \large\frac{C}{2}=\frac{2}{5},$ then $a,b,c$ are such that:

asked Nov 6, 2013 by meena.p

1 answer

$e^{\log (\cos h^{-1}2)}$ is equal to :

asked Nov 6, 2013 by meena.p

1 answer

If $x=\tan 15^{\circ},y=cosec 75^{\circ}$ and $z=4 \sin 18^{\circ}$ then :

asked Nov 6, 2013 by meena.p

1 answer

For all values of $\theta$, the values of $3- \cos \theta+ \cos \bigg(\theta+\large\frac{\pi}{3}\bigg)$ lie in the interval :

asked Nov 6, 2013 by meena.p

1 answer

n-Butane is produced by the monobromination of ethane followed by word reaction .Calculate the volume of ethane at NTP to produce 55g n-butane if the bromination takes place with 90% yield and worth reaction with 85% yield.

asked Nov 6, 2013 by sreemathi.v

1 answer

The quadratic equation whose roots are $\sin ^2 18^{\circ}$ and $\cos ^2 36^{\circ}$ is :

asked Nov 6, 2013 by meena.p

1 answer

If $5 \cos x +12 \cos y=13$, then the maximum value of $5 \sin x +12 \sin y$ is :

asked Nov 6, 2013 by meena.p

1 answer

For the reaction ,$N_2O_5(g)\iff 2NO_2(g)+0.5O_2(g)$.Calculate the mole fraction of $N_2O_5(g)$ decomposed at a constant volume and temperature,if the initial pressure at any time is 960mm Hg.Assume ideal gas behaviour.

asked Nov 6, 2013 by sreemathi.v

1 answer

A sample of Mg was burnt in air to give a mixture of MgO and $Mg_3N_2$.The ash was dissolved in 60meq. of HCl and the resulting solution was back titrated with NaOH.12meq of NaOH were required to reach the end point.An excess of NaOH was added and the solution distilled.The ammonia released was then trapped in 10Meq of second acid solution .Back titration of this solution required 6Meq of the base.Calculate the percentage of Mg burnt to the nitride.

asked Nov 6, 2013 by sreemathi.v

1 answer

$cosec 15^{\circ}+ \sec 15^{\circ}$ is equal to :

asked Nov 5, 2013 by meena.p

1 answer

$\sin 120^{\circ} \cos 150^{\circ}- cos 240^{\circ} \sin 330^{\circ}$ is equal to :

asked Nov 5, 2013 by meena.p

1 answer

The product of the distinct (2n)th roots of $1+i \sqrt 3$ is equal to :

asked Nov 5, 2013 by meena.p

1 answer

The equation of the locus of z such that $\bigg|\large\frac{z-i}{z+i} \bigg|$$=2$ Where $z=x+iy$ is a complex number, is

asked Nov 5, 2013 by meena.p

1 answer

The locus of the point $z=x+iy$ satisfying the equation $\bigg|\large\frac{z-i}{z+i} \bigg|$$=1$is given by :

asked Nov 5, 2013 by meena.p

1 answer

$\begin {bmatrix} \log\;e & \log\;e^2 & \log\;e^3 \\ \log\;e^2 & \log\;e^3 & \log\;e^4 \\ \log \;e^3 & \log\;e^4 & \log \;e^5 \end {bmatrix}$ is equal to:

asked Nov 5, 2013 by meena.p

1 answer

If A is an invertible matrix of order n , then the determinant of adj A is equal to :

asked Nov 5, 2013 by meena.p

1 answer

$A= \begin {bmatrix} 1 & 2 & 2 \\ 2 & 1 & 2 \\ 2 & 2 & 1 \end {bmatrix}$ then $A^3-4A^2-6A$ is equal to :

asked Nov 5, 2013 by meena.p

1 answer

If $\alpha,\beta, \gamma$ are the roots of the equation $x^3-6x^2+11x+6=0,$ then $ \sum \alpha^2 \beta+ \sum \alpha \beta^2$ is equal to :

asked Nov 5, 2013 by meena.p

1 answer

The difference between two roots of the equation $x^3-13x^2+15x+189=0$ is 2. Then the roots of the equation are :

asked Nov 5, 2013 by meena.p

1 answer

If $\sqrt {9x^2+6x+1} < (2-x) ,$ then :

asked Nov 5, 2013 by meena.p

1 answer

If $ |x| < 1 $ and $y=x-\large\frac{x^2}{2}+\frac{x^3}{3}-\frac{x^4}{4}+......$ then x is equal to :

asked Nov 5, 2013 by meena.p

1 answer

Which one of the following is true for an exothermic reaction $ A \rightleftharpoons B$ if $E_{r}\: and \: E_b$ are the activation energies of forward and backward reactions respectively?

asked Nov 5, 2013 by thanvigandhi_1

1 answer

The coefficient of $x^n$ in $\large\frac{1-2x}{e^x}$ is :

asked Nov 5, 2013 by meena.p

1 answer

The number of unit cells present in 39 grams of potassium if its crystallizes as body centred cube is : ( N = Avogadro number , At.wt of potassium =39)

asked Nov 5, 2013 by thanvigandhi_1

1 answer

If the values of $\land_{\infty}$ of $ NH_4CI,NaOH\: and \: NaCI$ are 130, 217 and 109 $ohm^{-1}\: .\: cm^2\: .\: equiv^{-1}$ respectively, the $ \land_{\infty}$ of $NH_4OH$ in $ ohm^{-1}\: .\: cm^2\: .\: equiv^{-1}$ is :

asked Nov 5, 2013 by thanvigandhi_1

1 answer

If $\large\frac{3x+2}{(x+1)(2x^2+3)}=\frac{A}{x+1}+\frac{Bx+C}{2x^2+3},$ then $A+C-B$ is equal to :

asked Nov 5, 2013 by meena.p

1 answer

The correct matching of List I from List II is :

asked Nov 5, 2013 by meena.p

1 answer

Match the following

asked Nov 5, 2013 by thanvigandhi_1

1 answer

$1+\large\frac{2}{4}+\frac{2.5}{4.8}+ \frac{2.5.8}{4.8.12}+\frac{2.5.8.11}{4.8.12.16}+.........$ is equal to :

asked Nov 5, 2013 by meena.p

1 answer

The volume in ml. of 0.1 M solution of NaOH required to completely neutralize 100 ml. of 0.3 M solution of $H_3PO_3$ is :

asked Nov 5, 2013 by thanvigandhi_1

1 answer

The number of natural numbers less than 1000, in which no two digits are repeated , is :

asked Nov 5, 2013 by meena.p

1 answer

Which one of the following is an artificial sweetening agent ?

asked Nov 5, 2013 by thanvigandhi_1

1 answer

Which one of the following statement is not correct?

asked Nov 5, 2013 by thanvigandhi_1

1 answer

Which one of the following is not a biopolymer?

asked Nov 5, 2013 by thanvigandhi_1

1 answer

Eight different letters of an alphabets are given. Words of four letters from these are formed. The number of such words with at least one letter repeated is :

asked Nov 5, 2013 by meena.p

1 answer

Nitrobenzene on reduction using Zinc in alkaline medium results in 'X'. The number of sigma $ ( \sigma)$ and pi $ \pi$ bonds in 'X' is :

asked Nov 5, 2013 by thanvigandhi_1

1 answer

The $pK_q$ values of four carboxylic acid are 4.76, 4.19, 0.23 and 3.41 respectively. The $pK_a$ value of strongest carboxylic acid among them is :

asked Nov 5, 2013 by thanvigandhi_1

1 answer

The reagent used in the Wolff - Kishner reduction is :

asked Nov 5, 2013 by thanvigandhi_1

1 answer

The order of reactivity of Phenol (1), Nitrobenzene (2) and Benzene (3) towards nitration is :

asked Nov 5, 2013 by thanvigandhi_1

1 answer

Phosgene is formed slowly from which one of the following on exposure to air and sunlight?

asked Nov 5, 2013 by thanvigandhi_1

1 answer

For all integers $ n \leq 1$, which of the following is divisible by 9?

asked Nov 5, 2013 by meena.p

1 answer

Which one of the following exhibits enantiomerism ?

asked Nov 5, 2013 by thanvigandhi_1

0 answers

If $\overrightarrow a=\hat i-\hat j+2\hat k, \:\:\overrightarrow b=2\hat i+4\hat j+\hat k\:\:and\:\:\overrightarrow c=\lambda \hat i+\hat j+\mu k$ are mutually $\perp$ then $(\lambda,\mu)=?$

asked Nov 5, 2013 by rvidyagovindarajan_1

1 answer

$\sqrt {12-\sqrt {68+48 {\sqrt {2}}}}$ is equal to :

asked Nov 5, 2013 by meena.p

1 answer

If $x= \sqrt {\large\frac{2+\sqrt 3}{2 -\sqrt 3}}$, then $x^2(x-4)^2$ is equal to

asked Nov 5, 2013 by meena.p

1 answer

If $f: R \to R$ is defined by $f(x)= \left\{ \begin{array}{1 1} x+4 & \quad for & \quad x < -4 \\ 3x+2 & \quad for & \quad -4 \leq x < 4 \\ x-4 & \quad for & \quad x \geq 4 \end{array}. \right. $ then the correct matching of List I from List II is :

asked Nov 5, 2013 by meena.p

1 answer

If $f: R \to R $ is defined by $f(x)=[2x]-2[x]$ for $x \in R,$ where $[x]$ is the greatest integer not exceeding x, then the range of f is :

asked Nov 5, 2013 by meena.p

1 answer

If $f: R \to R$ is defined by $f(x) =x-[x]-\large\frac{1}{2}$ for $x \in R, $ where $[x]$ is the greatest integer not exceeding x, then $\bigg \{x \in R: f(x) =\frac{1}{2}\bigg\}$ is equal to :

asked Nov 5, 2013 by meena.p

1 answer

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