Question # 1

For trival solution |A| is

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A

|A| is non zero

A = 0

None of these

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Square matrix

Row matrix

Symmetric matrix

Null matrix

π is the ration of

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Area of a circle to its diameter

Area of a circle to its radius

Circumference of a circle to its diameter

Circumference of circle to its radius

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The direction cosines of a line equally inclined with co-ordinate axes are

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(0,0) is in the solution of the inequality

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x + y > 3

x - y > 2

3x + 2y > 5

3x - 2y < 2

√23 is

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A rational number

A irrational number

An even integer

A factor of 36

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The set of all antiderivaties of f(= ∫f(x)dx) is the

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Definite integral

Indefinite integral

Integral

Area

Equation of the chord of contact to the tangents drawn from (-3,4) to the circle x2 + y2 = 21

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-3x + 4y =21

4x - 3x = 0

-3x + 4y = 25

None of these

An integer is chosen at random from the number ranging from 1 to 50. the probability that the integer chosen is a multiple of 2 or 3 or 10 is

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3 / 10

5 / 10

7 / 10

9 / 10

Period of tan x is ______

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The maximum value of the quadratic function f(x) = 2x2-4x+7,is

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3

5

-3

-5

If x is an image of y under the function f. This can be written as

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y = f(x)

f(x) = 0

x = f(y)

f(y) =0

The negation of given number is a

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Binary operation

Unary operation

Relation

None of these

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trigonometric equation

conditional equation

identity

None

The curve f(x,y) = 0 has a central symmetry if

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f(-x,-y)=f(x,y)

f(x,-y)=f(x,y)

f(-x,y)=f(x,y)

f(-x,-y)≠f(x,y)

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1

2

3

4

n!/(n-1)!=

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n

n!

(n-1)!

0!

Domain of cosecθis

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For two events A and B if P(A) = P (A/B) = 1/4 and P(B/A) = 1/2, then

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A is sub-event of B

A and B are mutually exclusive

A and B are independent and P(A/B) = 3/4

None of these

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x³

3x²

3x

3

The set which has no proper subset is

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{0}

{}

{∅}

None of these

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Riaz, Saba. Maria, Shehzad are to give speeches in a class. The teacher can arrange the order of their presentation in

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4 ways

12 ways

256 ways

24 ways

The angle of elevation of a tower from a point A due south of it is x and from a point B due east of A is y. If AB = 1, then the height h of the tower is given by

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(g,f)

(-g,f)

(g,-f)

(-g,-f)

The maximum value of the quadratic function f(x) = -2x2+20x,is

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4

3

50

7

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The 60th part of one minute is called

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Degree

Second

Radiam

None of these

If 5,7 and 9 are A.Ms between a and b, then a and b is equal to

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2 and 12

1 and 10

3 and 11

-7 and 2

The point lying on the terminal rat of -270° is

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(1,0)

(0,-1)

(0,1)

(-1,0)

Domain of tan x is ______

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2

-3/2

1

0

Domain of 3 sin x is ______

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[-3, 3]

R

Positive real numbers

None of these

The quadratic equation 8 sec2θ - 6 secθ +1 =0 has

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Infinitely many roots

Exactly two roots

Exactly four roots

No roots

A function from A to B is denoted by

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f: A→ B

f: B → A

f: → A :B

f → A→ B

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[0,1[

[0, 1]

]0, 1[

None of these

The number of subsets of B = {1,2,3,4,5}

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10

32

16

5

Two circles x2 +y2 +8x -9= 0 and x2+y2+6y +k =0 touchinternallyif the value of k is

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k = 9

k = ±9

k=-9

k=11

∫x/Sin² x dx is equal to:

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x cot x + ln|sin⁡x |

-x cot x - ln|sin⁡x |

x cot x - ln|sin⁡x |

x. tan x- ln|sec⁡x |

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If A is skew Hermitian Matrix then which of the following is not skew Hermitian matrix

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A2

A5

A3

A7

A function whose range is just one element is called

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One-one function

Constant function

Onto function

Identity function

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a f(x) + c

f(x) + a

A circle passing through the vertices of any triangle is called ______

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In circle

Circum circle

Escribed circle

None of these

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parallel vectors

perpendicular vectors

concurrent vectors

collinear vectors

How many term are there in the A.P, in which a₁ = 11 , a_n =68, d=3

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30

27

20

21

The exact degree value of the function sin-1( -√3/2) is

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70^ο

50^ο

90^ο

60^ο

Decimal part of irrational number is

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Terminating

Repeating only

Neither repeating nor terminating

Repeating and terminating

The equation of the directrix of the parabola x²= 4ay is

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x + a = 0

x - a = 0

y + a = 0

y - a = 0

cos 3a =_______;

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3sin a - 4sin3 a

4sin a - 3sin3 a

3cos3 a - 4cos a

4cos3a - 3cos a

If f(x) = -x²then f(-2) is

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-2

2

-4

4

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16

256

64

1024

The equation ax²+ 2hxy + by²+2gx + 2fy + c =0 represents an ellipse if

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For a square matrix A, if A = A^t, then A is called

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matrix

Transpose

Symmetric

Non-symmetric

If the line 2x -y +k =0 is a diameter of the circle x2 +y2 +6x -6y +5 =0 then k is equal to

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12

9

6

3

At a point 15 meters away from the base of a 15 meters high house, the angle of elevation of the top is

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90°

60°

30°

45°

Which of the following does not represent absolute value of a vector

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magnitude

length

norm

number

The sum of the odd coefficients in the expansion of (a + x)⁴is

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14

12

8

4

The eccentricity e of an ellipse is always

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Rational

Real

Irrational

Integer

If 2x +y + λ =0 is normal to parabola y2 =-8x,λ= _____

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12

8

24

-24

An infinite sequence has no

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nth term

Last term

Sum

None of these

If Sn is a definite number as n → ∞,then the geometric series is

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Convergent

Divergent

Oscillatroy

None of these

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Less then 1

Equal to 1

Greater than 1 but less then 2

Greater then or equal to 2

A square matrix A = [aij] is upper triangular when

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cij = 0

bij = 0

aij = 0 for all i > j

dij = 0

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0

90°

180°

360°

The period of|sin⁡2x| is

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π/2

-π/2

π

π/3

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x = 3

x = 1/5

x = 0

None of these

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5

10

20

30

If f(x) = x³- 2x²+ 4x -1 then f(0) is

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0

1

-1

none of these

Which of the following is the subset of all sets

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Φ

{1,2,3}

{Φ}

{0}

The term involving x⁴ in the expansion (3-2x) is

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217x⁴

15120x⁴

313x⁴

-25x⁴

The velocity and acceleration at any point t of a particle which moves along straight line x = 5r-3

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5,3

5,-3

5,0

10,0

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The multiplicative inverse of 0 is

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1

-1

0

Does not exist

Root of the equation 3^x-1+ 3^1-x= is

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2

1

0

-1

The sum of complex number (a,b) and (c,d) is

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none of these

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A rational number

An irrational number

An odd number

A prime number

Cofactor of an element aij denoted by Aij is

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(-2)i+j

Mij

(-1)i+j Mij

None of above

Range of 3 sin x is ______

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[ -3, 3]

[-1, 1]

R

None of these

A vector with magnitude one is called

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constant vector

unit vector

zero vector

null vector

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There may be ______ feasible solution in the feasible region

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Infinite

Finite

Defined

None of above

The formula an = a +(n-1)d for an A.P is called

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nth term of an A.P

Sum of first n terms

A,M between a and b

None of the above

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(a +bi) -c (c +di) =

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(a +b) = (c +d)

(a +c) + i(b +d)

(a -c) + (c -d)i

(a -c) +(b -d) i

If z = (x,y) , then z ̅ =

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(-x,y)

(x,-y)

(-x, -y)

None of these

In common logarithm the base is

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1

0

10

e

The roots of ax2+bx+c=0 are

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Rational ⇔ b2 -4 ac ≥ 0

Irrational ⇔ b2-4 ac > 0

Real ⇔ b2-4 ac ≠ 0

Rational⇔ b2-4 ac = 0

A Series which does not coverage to a Unique sum is called

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Harmonic Series

Oscillatroy Series

Arithmetic Series

None of these

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If a₁and r are the first term and the common ratio respectively then (n + 1)th term of the G.P. is

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0

a₁r^n-1

a₁rⁿ⁺¹

a₁rⁿ

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The number of subsets of a set having three elements is

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4

6

8

none of these

If the exponent in the binomial expansion is 6, then the middle term is

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2nd term

3rd term

4th term

5th term

The maximum value of sin x + cos x is

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The angle between the vectors u = [-3 , 5] and v = [6 , -2] is:

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π/2

-3π/2

π

None of these

The radius of second Bohr's orbit is

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0.053 nm

0.053/4 nm

0.053 x 4 nm

0.053 x 20 nm

Which substances haveΔH =ΔE

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Solids

Liquids

Gases

Liquids and solids

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32

64

16

4

Organic synthetic or man made polymers are plastics, rubber and fibre. Which is not a synthetic polymer

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Silk

Polyester

Polyvinyl chloride

Nylon

Which bond is most stable

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C - Cl

C - F

C - Br

C - I

Alkyl halides are reactive :

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High

Medium

Less

Least

Ethanol can be converted into ethanoic acid by

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Hydrogenation

Hydration

Oxidation

Fermentation

Pick up the correct statement

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CO which is major pollutant resulting from the combustion of fuels in automobile plays a major role in photochemical smog

Classical smog has an oxidizing character while the phtochemical smog is reducing in character

Photochemical smog occurs in day time whereas the classical smog occurs in early morning hours

During formation of smog the level of ozone in the atmosphere goes down

1 mol of N₂O₄ was decomposed according to given equation in 1dm₃ container. At equilibrium x mole of N₂O₄ have dissociated. What is the value of K_C:

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2x/(1-x)²

4x²/(1-x)

4x/(1-x)

2x/(1-x)

Hydrocarbans, SO₂, CO, NH₃, nitrogen oxides and compounds of fluorine are called

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Primary pollutant

Secondary pollutant

Tertiary pollutant

None of these

Peptide bond is a key feature in

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Polysaccharide

Proteins

Nucleotide

Vitamins

When rate of forward reaction is equal to rate of backward reaction, then the equilibrium established is called

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Chemical equilibrium

Static equilibrium

Dynamic equilibrium

None of these

Aromatic carboxylic acids have carboxyl group attached to group :

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Alkyl group

Aryl group

Phenyl group

Benzyl group

Terylene is madeby polymerization of terephthalic acid with

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Ethylene glycol

Phenol

Ethanol

Catechol

Four d-orbitals contain four lobes while fifth contains only two lobes the orbital is

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dxy

dxz

dz²

dx²- y²

0.5 mole of CH4and 0.5 mole of SO2gases have equal

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Volume

Mass in grams

Total number of atoms

Number of molecules

______ reacts with alkalis to give hydrogen

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Be

Mg

Ca

None

A carboxylic acid containing Ar group in it is called:

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Aromatic carboxylic acid

Allphatic carboxylic acid

Dicarboxylic acid

Carboxylic acid

Essential amino acids are those amino acids which

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Body can not synthesize

Body can synthesize

α-amino acids

β-amino acids

The solubility of KCIO₃salt in water is decreased by adding

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NaCIO₃

NaCI

KCIO₄

KCI

Phenol is heated with CCl₄and alkaline KOH when salicylic acid is produced.The reaction is known as

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Frledel-Craft reaction

Riemer-Tiemann's reaction

Rosenmund's reaction

Sommelet reaction

Electron affinity of sulphur is

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More than O and Se

More than O but less than Se

Less than O but more than Se

Equal to O and Se

During the manufacturing process of cement the temperature of the decomposition zone goes up to

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600°C

800°C

1000°C

1200°C

Which of the following is complex?

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CaSO₄. 0.5H₂O

(C₆H₁₀O₅)_n

C₆H₁₂O₆

CH₄

Under what condition of temperature and pressure the formation of atomic hydrogen from molecular hydrogen will be favourd

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High temperature and high pressure

Low temperature and low pressure

High temperature and low pressure

:Low temperature and high pressure

Alcohols are named by replacing 'e' of alkane with:

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al

ene

ol

one

Transition elements differ from s and p block elements due to their characteristic properties. What is not he characteristic property of transition elements

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Transition elements show variable oxidation states

Their salts are coloured

They can be used as catalyst

All of them are metals

The number of moles of solute in 1000g (1 Kg) of the solvent is called :

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Molarity

Normality

Mole fraction

The ionization potential is lowest for the

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Halogens

Inert gases

Alkaline earth metals

Alkali metals

Alkanes are soluble in all except

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Benzene

Ether

Water

Carbon tetra chloride

Choose an answer

Measuring pH

Measuring density

Titration against standard NaOH

Titration against standard KMnO₄solution

Elements combine together due to inherent tendency to stabilize themselves by:

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Losing electron.

Sharing electrons.

Gain in electrons.

All of above.

Aluminium oxide is:

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Acidic oxide

Basic oxide

Amphoteric oxided

None of these

The process of electrical coating of one metal on another to protect, decorate or to have greater resistance to corrosion is called

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Electroplating

Electrolysis

Conduction

Induction

Which of the following human activities are contaminating surface and ground waters

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Pesticides

Septic tanks

Petroleum and natural gas production

All of these

The osmotic pressure of a dilute solution is directly proportional to the

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Diffusion rate of the solute

Ionic concentration

Elevation in boiling point

Flow of solvent from a concentrated to a dilute solution

Which one of the following does not belong to alkaline earth metals

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Be

Ra

Ba

Rn

Which acid is used in the manufacture of synthetic fibre?

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Formic acid

Oxalic acid

Carbonic acid

Acetic acid

Which is the derived lipid?

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Common fats

Vitamin-D

Common oils

Spinolipids

The number of atoms present in molecule determines its:

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Molecularity

Atomicity

Basicity

Acidity

The number of unpaired electrons in Fe³⁺(Z = 26) are

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5

6

3

4

The oxidation number of Mn is KMnO₄is

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+2

+4

+6

+7

Which one of the following has discontinuous solubility curve

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CaCI₂6H₂O

NaCI

KCI

NaNO₃

Of the following which is a step growth polymer

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Bakelite

Polyethylene

Teflon

PVC

Which of the following molecules has a net dipole moments

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CO₂

CS₂

SO₂

CCI₄

Rate law of an equation is obtained :

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From a balance equation.

Can be calculated theoretically as well as determined experimentally.

It is only calculated theoretically.

Experimentally.

Monosaccharides and oligosacchradies are generally called as

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Crystals

Sugars

Liquids

Non-sugars

Vegetables oil are:

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Unsaturated fatty acids

Glycerides of saturated fatty acids

Essential oils obtained from plants

None of these

Molar mass of high molecular w.f. polymers ranges form:

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1000 to 10000

10000 to 100000

100000 to 1000000

1000000 to 10000000

Choose an answer

Decrease in temperature favour more dissolution of the salt

Increase in temperature favour more dissolution of the salt

Lowering pressure favour more dissolution of the salt

Increasing pressure favour more dissolution of the salt

Potassium superoxide has a use in breathing equipment in space crafts. The balanced equation for the reaction is

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The coordination number of iron in [Fe(H₂O)₆]³⁺is

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2

3

4

6

Nitrogen in the atmosphere is:

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78%

21%

0.9%

0.03%

Basicity of orthoposphoric acid is

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2

3

4

5

Pollution is

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Removal of top soill

Release of toxic/undesirable materials in enevironment

Conversation of energy

All the above

N₂and O₂are present in air but they don't react chemically at ordinary conditions of temperature and pressure because it is a

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Spontaneous reaction

Reversible reaction

Exothermic reaction

Non-spontaneous reaction

The value of K_pis greater than K_cfor a gaseous reaction when

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Number of molecules of products is greater than the reactants

Number of molecules of reactants is greater than those of products

Number of molecules of reactants and products equal

Catalyst is added

Which statement is true for Na and Na⁺

Choose an answer

Size of Na is smaller than Na⁺

Size of Na is greater than Na⁺

Both have same properties.

Both have equal sizes.

When a nitrogeneous base combine with a sugar it is called

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Ribose

Nucleotides

Nucleoside

None

Analytical chemistry is the science of

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Chemical characterization

Physical characterization

Biological characterization

Biochemical characterization

The example of colligative property is

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Boiling point

Osmosis

Freezing point

Osmotic pressure

Substances that render enzymes catalytically inactive are called

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Conenzymes

Substrates

Inhibitors

Apoezymes

According to modern theory of chemical bonding atoms form bonds as it leads to a:

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Increase in energy.

No energy change.

Decrease in energy.

First decrease then increase in energy.

The product of the reaction between propanone and HCN is hydrolysed under acidic conditions. What is the formula of the final product

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CH₃CH(OH)COOH

CH₃CH₂CH(OH)COOH

(CH₃)₂C(OH)COOH

CH₃CH₂CH₂COOH

The correct order of electron affinity among the following is

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F > Cl > Br

Br > Cl > F

Cl > F > Br

F > Br > Cl

When vapours of isopropyl alcohol are passed over heated copper, the major product obtained is

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Propane

Propylene

Acetaldehyde

Acetone

Choose an answer

Elimination Esterification

Elimination Isomerisation

Oxidation Exterification

Oxidation Oxidation

Which compound does not show hydrogen bonding with water

Choose an answer

CH₃OH

C₂H₅OH

CH₃- O - CH₃

C₆H₅OH

Choose an answer

Low pressure

High pressure

High temperature

High concentration of SO₂

Borax is hydrated:

Choose an answer

Penta

Deca

Hepta

Octa

Which compound is more soluble in water?

Choose an answer

C₂H₅OH

C₅H₅OH

CH₃OCH₃

n-Hexanol

The carbon atom of a carbonyl group is

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Sp hybridized

Sp²hybridized

Sp³hybridized

None of these

Li has the lowest reduction potential while the element with highest reduction potential is

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H

F

O

N

Which is not carboxylic acid with pungent smell?

Choose an answer

Formic acid

Acetic acid

Ethanoic acid

Butyric acid

Clemensen's reduction of ketones is carried out in

Choose an answer

H₂with Pd catalyst

Glycol with KOH

LiAIH₄in water

Zn-Hg with conc. HCl

General formula of alkyl halide is:

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R----X

R----OH

R------COH

R------COOH

How many isomeric disubtituted products are obtained by the introducing of second group in the ring

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Two

Three

Four

None

The molarity of solution containing 14.5 grams urea (N₂H₄CO) dissolved in 100 cm³of the solution is

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1 molar

0.1 molar

0.2 molar

0.25 molar

Two moles of acetic acid are heated with P₂O₅the product formed is

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2 moles of ethyl alcohol

Formic anhydride

Acetic anhydride

2 moles of methyl cyanide

The amount of heat evolved or absorbed in a chemical reaction, when the molar quantities of products and reactants being the same as represented in chemical equation. is called

Choose an answer

Heat of reaction

Free energy of reaction

Entropy of reaction

None of these

If the rate equation of a reaction 2A+B-------->Products is , Rate = K[A] [B], and A is present in large excess, then order of reaction is :

Choose an answer

1

2

3

Above

Isotopes differ in

Choose an answer

properties which depend upon mass

arrangement of electrons in orbitals

chemical properties

the extent to which they may be affected in electric fields

On passing HCI gas through a saturated solution of commercial sodium chloride, pure crystals of NaCI are precipitated due to

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Increase in pH of the solution

Decrease in pH of the solution

Common ion effect

Increase in ionization of NaCl

Which property is not present in lipids?

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Liquid

Solid or semi solid

Soluble in water

Form emulsion

Smallest particle of an element which may or may not have independent existence is known as:

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A molecule

An ion

An atom

An electron

Which one of the following has been hydroxyl and carboxylic acid groups

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Phenols

Picric acid

Phthalic acid

Salicylic acid

The heat energy change during a chemical reaction at constant pressure and at a given temperature is called

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Change in internal energy

Enthaply change

Temperature change

Work done by the system

Synthesis rubber is made by polymerization :

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Chloroform

Acetylene

Divinyl acetylene

Butene

Which of the following derivative cannot be prepared directly from acetic acid?

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Acetamide

Acetyl chloride

Ethyl acetate

Acetic acid

The two half cells of a galvanic cell are connected by

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Ammeter

Salt bridge

Hydrogen electrode

Copper electrode

HCOOH reacts with conc. H₂SO₄to produce

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CO

CO₂

NO

NO₂

Which of the following compounds gives red precipitate with AgNO₃?

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Kl

K₂CrO₄

NaBr

NaNO₃

Choose an answer

Three times

Six times

Nine times

Two times

Nitroalkane are used in

Choose an answer

Fuel

Solvents

Organic synthesis

All of them

Group l-A elements react with water fastly than the reaction of group ll-A elements because

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l_Aelements are more soft then ll_A

l_Aelements are non-metals

l_Aelements have 1 electron in their outermost s-orbital and are strongly electropositive

l_Aelements make ionic bond

Marble is chemically

Choose an answer

CaCl₂

CaCO₃

Na₂CO₃

NaHCO₃

Which is the transition element among the following

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B

Al

Cu

Cs

Which of the following mixture of liquids show negative deviation form Raults law

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Ethyl alcohol and ether

HCI and water

Phenol- water

Chlorobenene-bromobenene

B-B'-dichloroethyl sulphide is commonly known as

Choose an answer

Mustard gas

Laughing gas

Phosgene gas

Bio gas

N₂+3H₂⇌ 2NH_{3 + Heat for above equation, themaximum product will be obtained at :}

Choose an answer

Low temperature at high pressure.

High temperature and low pressure.

High temperature and high pressure.

Low temperature at low pressure.

Which of the following in incorrect?

Choose an answer

FelCl₃is used in the detection of phenols

Fehling solution is used in the detection of glucose

Tollen's reagent is used in detection of unsaturation

NaHSO₃is used in the detection of carbonyl compounds

Which of the following statements about acetic, anhydride is not correct

Choose an answer

It is immiscible with water but is hydrolysed to give acetic acid

It is prepared by the action of actyl chloride on the sodium salt of acetic acid

it reacts with ammonia to give acetamide

it is a strong acid

Which of the following solution have zero pH

Choose an answer

1 M HCI

MH₂SO₄

0.1 M HNO₃

1 M CH₃COOH

Elimination bimolecular reactions usually obey

Choose an answer

First order kinetics

Second order kinetics

Third order kinetics

Zero order kinetics