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Which of the following is fully fluorinated polymer?
PVC
b)Thiokol
c)Teflon
d)Neoprene
KMnO4 acts as oxidising agent in acidic medium. The number o moles of KmnO4 that will be needed to react with one mole of sulphide ions in acidic solution is
\(2\over 5\)
b)\(3\over 5\)
c)\(4\over 5\)
d)\(1\over 5\)
During the adiabatic process,
pressure is maintained constant
b)gas is isothermally expanded
c)there is a perfect heat insulation
d)the system changes heat with surroundings
Solid carbon dioxide is an example of
metallic crystal
b)cavalent crystal
c)molecular crystal
d)ionic crystal
Law of constant composition does not hold true for
endothermic compounds
b)exothermic compounds
c)stoichiometric compounds
d)non-stoichiometric compounds
The Major product of nitration of benzoic acid is
3-nitrobenzoic acid
b)4-nitrobenzoic acid
c)2-nitrobenzoic acid
d)2,4-dinitrobenzoic acid
The reaction, \({ 3ClO }^{ - }(aq)\longrightarrow { ClO }_{ 3 }^{ - }(aq)+2{ Cl }^{ - }(aq),\) is an example of
oxidation
b)reduction
c)disproportionation
d)decomposition
When a copper wire is immersed in silver nitrate solution ,the colour of the solution becomes blue,because copper
Oxidises silver into silver ions
b)reduces silver ions in the solution
c)is reduced to copper(i)
d)is oxidised to copper(i)
If 400\(\Omega\) of resistance is made by adding four 100\(\Omega\) resistance of tolerance 5%, then the tolerance of the combination is
20%
b)5%
c)10%
d)15%
If L has the dimensions of length; V that of potential and \({ \epsilon }_{ 0 }\) is the permittivity of free space, than the quantity \({ \epsilon }_{ 0 }LV\) have the dimensions of
current
b)charge
c)resistance
d)voltage
The solution set of (x)2 + (x + 1)2 = 25, where (x) is the nearest integer greater than or equal to x, is
(2,4)
b)[-5,-4] U [2,3)
c)[-4,-3) U [3,4)
d)none of these
\(\int { \frac { sinx }{ sin|x-\alpha ) } } dx,\) equals
\((x-\alpha )cos\alpha +sin\alpha logsin(x-\alpha )+c\)
b)\((x-\alpha )sin\alpha +sin\alpha logsin|x-\alpha )+c\)
c)\((x-\alpha )sin\alpha +sin\alpha logcos(x-\alpha )+c\)
d)NONE OF THESE
If \(f(x)=cos[{ \Pi }^{ `2 }]x+cos[{ -\Pi }^{ `2 }]x,\)where [x] stands for the greatest integer function,then
\(f(\frac { \Pi }{ 2 } )=-1\)
b)\(f(\pi )=1\)
c)\(f(-\pi )=1\)
d)\(f(\frac { \Pi }{ 4 } )=2\)
Consider the experiment of rolling a die. Let A be the event of 'getting a prime number and B be the event of 'getting an odd number', then
A and B=
{1, 2, 3, 5}
b){1, 2}
c){3, 5}
d){5}
The one which is the measure of the central tendency, is
mode
b)range
c)mean deviation
d)standard deviation
If -2, 2,1 are direction of a line, then its direction cosines are
\(-\frac{2}{3},\frac{2}{3},\frac{1}{3}\)
b)\(\frac{2}{3},-\frac{2}{3},\frac{1}{3}\)
c)\(\frac{2}{3},-\frac{2}{3}-,\frac{1}{3}\)
d)\(-\frac{2}{3},\frac{2}{3},-\frac{1}{3}\)
\(\left| \vec { a } \times \vec { b } \right| ^{ 2 }+\left| \vec { a } .\vec { b } \right| ^{ 2 }\) =144 and \(\left| \vec { a } \right| =4\) and \(\left| \vec { b } \right| \) is equal to
2
b)6
c)8
d)20
Let \({ f }_{ 1 }\left( x,y \right) \equiv { ax }^{ 2 }+2hxy+b{ y }^{ 2 }=0\) and let \({ f }_{ i+1 }\left( x,y \right) =0\) denotes the equation of the bisectors of \({ f }_{ i }\left( x,y \right) =0\) for all i = 1, 2, 3, ....
On the basis of above information, answer the following questions:
If fi+1(x, y) = 0 represents the equation of a pair of perpendicular lines, then \({ f }_{ n+2 }\left( x,y \right) =0\forall n\ge 2\) is same as
\({ f }_{ n+2 }\left( x,y \right) =0\)
b)\({ f }_{ n+1 }\left( x,y \right) =0\)
c)\({ f }_{ n }\left( x,y \right) =0\)
d)none of the above
If \(\cos { x } +\sin { x } =a\left( -\frac { \pi }{ 2 } <x<-\frac { \pi }{ 4 } \right) \), then cos 2x is equal to
a2
b)\(a\sqrt { \left( 2-a \right) } \)
c)\(a\sqrt { \left( 2+a \right) } \)
d)\(a\sqrt { \left( 2-{ a }^{ 2 } \right) } \)
If the two circles x2+y2=r2 and (x-5)2+y2=9 intersect in two distinct points,then
2
r<2
c)r=2
d)r>2
In the quadratic equation a x2 + bx + c = 0, if \(\Delta ={ b }^{ 2 }-4ac\) and \(\alpha +\beta ,{ a }^{ 2 }+{ \beta }^{ 2 },{ a }^{ 3 }+{ \beta }^{ 3 }\) are in GP, where a, \(\beta\) are the roots of a x2 + bx + c = 0, then
\(\Delta \neq 0\)
b)\(b\Delta =0\)
c)\(c\Delta =0\)
d)\(\Delta =0\)
if the coefficients of x7 and x8 in \(\left( 2+\frac { x }{ 3 } \right) ^{ n }\) are equal then n is
56
b)55
c)45
d)15
If m and n are two odd positive integers with n
4
b)6
c)8
d)9
Compute \(\cfrac { 7! }{ 5! } \)
42
b)40
c)43
d)44
If \(\alpha \) and \(\beta \) are the roots of the equation \({ 2x }^{ 2 }-(p+1)x+(p-1)=0\) and \(\alpha -\beta =\alpha \beta \), then what is the value of p
1
b)2
c)3
d)- 2
If a,b,c are distinct real numbers and
\(\left| \begin{matrix} a & { a }^{ 2 } & { a }^{ 3 }-1 \\ b & b^{ 2 } & { b }^{ 3 }-1 \\ c & { c }^{ 2 } & { c }^{ 3 }-1 \end{matrix} \right| =0\) then
a+b+c=0
b)abc=1
c)a+b+c=1
d)ab+bc+ca=0
The modulus of the complex number \(z=\frac { (1-i\sqrt { 3 } )(cos\theta +isin\theta ) }{ 2(1-i)(cos\theta -isin\theta ) } \) is
\(\frac{1}{2\sqrt{2}}\)
b)\(\frac{1}{\sqrt{3}}\)
c)\(\frac{1}{\sqrt{2}}\)
d)2\(\sqrt{3}\)
If P={1,2} then the set PxPxP is
{(1,1,1), (1,1,2), (1,2,1), (1,2,2), (2,1,1), (2,1,2), (2,2,1), (2,2,2)
b){(1,1,1), (1,1,2), (2,2,2), (1,2,1), (2,1,1), (2,1,2), (2,1,2), (2,2,1)}
c){(2,1,1), (2,2,2), (1,1,1)
d)None of these
The sum of the series 12+(12+22)+(12+22+32)to n terms=...
\({n(n+1)^2(n+2)\over12}\)
b)\({n(n+1)^2(n+3)\over12}\)
c)\({n(n+2)^2(n+1)\over12}\)
d)\({n(n+2)^2(n+1)\over14}\)
Isoelectric point is a
specific temperature
b)suitable concentration of amino acid
c)melting point of an amino acid under the influence of amino acid
d)hydrogen ion concentration that does not allow migration of amino acid under electric field