Recent questions tagged 2006

$e^{\log (\cos h^{-1}2)}$ 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

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

$cosec 15^{\circ}+ \sec 15^{\circ}$ 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

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

asked Nov 5, 2013 by meena.p

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

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

asked Nov 5, 2013 by meena.p

1 answer

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

asked Nov 5, 2013 by meena.p

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

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

asked Nov 5, 2013 by meena.p

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

The number of sigma and pi $(\pi)$ bonds presents in benzene respectively are :

asked Nov 5, 2013 by meena.p

1 answer

$CH_3CH_2OH \longrightarrow CH_3CHO \longrightarrow Cl_3CCHO $ In above reactions the role of $Cl_2$ in step -I and Step-2 respectively is :

asked Nov 5, 2013 by meena.p

1 answer

Which of the following reactions does not liberate gaseous product?

asked Nov 5, 2013 by meena.p

0 answers

Eithyl chloride reacts with sodium ethoxide to form a compound A. Which of the following reactions also yields A?

asked Nov 5, 2013 by meena.p

1 answer

What are the metal ions present in carnallite?

asked Nov 5, 2013 by meena.p

1 answer

Hydrolysis of $NCl_3$, gives $NH_3$ and X. Which of the following is X?

asked Oct 30, 2013 by meena.p

1 answer

When compound X is oxidised by acidified potassium dichromate, compound Y id formed. Compound Y on reduction with $LiA | H_4$ gives X.X and Y respectively are :

asked Oct 30, 2013 by meena.p

1 answer

Assertion (A) : A current of 96.5 A is passed into aqueous $AgNO_3$ solution for 100 s. The weight of silver deposited is $10.8\;g$ (At . wt. of Ag=108). Reason (R): The mass of a substance deposited during the electrolysis of an electrolyte is inversely proportional to the quantity of electricity passing through the electrolyte.

asked Oct 30, 2013 by meena.p

1 answer

Which of the following reacts with benzene in presence of anhydrous aluminium chloride and forms acetophenone ?

asked Oct 30, 2013 by meena.p

1 answer

Identify the reaction for which $\Delta H= \Delta E$

asked Oct 30, 2013 by meena.p

1 answer

Which of the following compounds when heated with $CO$ at $150^{\circ}C$ and 500 atm pressure in presence of $BF_3$ forms ethyl propionate?

asked Oct 30, 2013 by meena.p

1 answer

Observe the following statements:

asked Oct 30, 2013 by meena.p

1 answer

What is the correct order of occurrence (% by weight) in air of Ne, Ar and Kr?

asked Oct 30, 2013 by meena.p

1 answer

Match the following lists:

asked Oct 30, 2013 by meena.p

1 answer

The volume - temperature graphs of a given mass of an ideal gas at constant pressures are shown below. What is the correct order of pressures?

asked Oct 30, 2013 by meena.p

1 answer

when acetaldehyde is heated with Fehling solution, a red precipitate is formed. Which of the following is that?

asked Oct 30, 2013 by meena.p

1 answer

Which of the following is not correct ?

asked Oct 30, 2013 by meena.p

1 answer

Which of the products is formed when acetone is reacted with barium hydroxide solution ?

asked Oct 30, 2013 by meena.p

1 answer

At $T(K) , 100 L$ of dry oxygen is present in a sealed container. It is subjected to silent electric discharge , till the volumes of oxygen and ozone become equal. What is the volume (in liters) of ozone formed at $T(k)$?

asked Oct 30, 2013 by meena.p

1 answer

Which of the following is added to chloroform to slow down its aerial oxidation in presence of light?

asked Oct 30, 2013 by meena.p

1 answer

The concentration of oxalic acid is $'x' molL^{-1}$. 40 mL of this solution reacts with 16 mL of 0.05 M acidified $KMnO_4$. What is the pH of 'x' M oxalic acid solution ? (Assume that oxalic acid dissociate completely)

asked Oct 30, 2013 by meena.p

1 answer

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