Question # 1

The order of the matrix [1 2 3] is

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1 x 1

3 x 3

3 x 1

1 x 3

The range of y=x2 + 1 is the set of non-negative real numbers except

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0≤ y < 1

0 < y < 1

0≤ y≤ 1

0 < y≤1

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A.P.

G.P.

H.P.

None of these

f(x) = 2^x+ 3 . 2^2x+ 5 is

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trigonometric function

algebraic function

exponential function

logarithmic function

The trigonometric function are continuous whenever

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They are defined

their limit exist

Their period is given

All are incorrect

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The points A(+1,-1),B(3,0),C(3,7),D(1,8) are vertices of

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Square

Parallelogram

Rectangle

Trapezium

Which of the following is skew symmetric matrix

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sin(π+θ)=_______;

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sinθ

cosθ

-sinθ

-cosθ

An improper rational fraction can be reduced by division to a

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Proper fraction

Polynomial

mixed form

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For every positive integers n 1+5+9+....+ (4n - 3) is

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n(2n - 1)

(2n - 1)

n - 1

n

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

(2, 1) is in the solution of the inequality

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2x + y > 7

x - y > 2

3x + 5y < 6

2x + y < 6

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0

1

-1

None of these

tan(π-θ)=_____;

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tanθ

cotθ

-tanθ

-cotθ

The radius of the circle x²+ y² - 6 x + 4 y +13 = 0 , is

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1

2

0

None of these

(A∩Bc)c= -------------------------

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Ac∪Bc

Ac∪B

Ac∩B

None of these

Which is an explicit function

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y = x²+ 2x - 1

x²+ xy + y²= 2

x²+ y²= xy + 2

All are

In one hour, the hour hand of a clock turns through

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xy= 2 is:

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a constant function

an identity function

an improper function

implicit function

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For trival solution |A| is

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A

|A| is non zero

A = 0

None of these

f(x) = log x + 3 is a

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trigonometric function

algebraic function

exponential function

logarithmic function

∛8.6 is approximately equal to

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2.488

2.48

2.0488

2.05

The period of cos(7x-5) is

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π/7

7π/2

π/2

2π/7

Which of the following is not a quadrantal angle

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90°

100°

180°

270°

F(x) = x^xdecreases in the interval

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(0, e)

(0, 1)

(-∞,0)

None

A die is rolled. What is the probability that the dots on the top are greater than 4?

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1/4

1/2

1/3

1/33

The are of the circle centred at ( 1 , 2) and passing through ( 4 , 6) is:

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10π

25π

5π

25/2π

The value of sin²20° + sin²70° is equal to

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1

2

-1

1/2

A triangle has six

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side

elements

angle

tangents

x = -1 is in the solution of the inequality

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x + 5 < 0

2x + 3 < 0

x > 0

2x + 3 > 0

If the angle between two vectors u and v is 0 orπ, then the vectors u and v are:

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Orthogonal

Collinear

Perpendicular

None of these

An open sentence formed by using the sign of equality "=" is called

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Equation

In equation

True sentence

False sentence

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a₁+ a₂

a²₁+ a²₂

The difference of two consecutive terms of an A.P. is called ______

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General term

Common ratio

Common difference

None of these

If three unequal numbers p, q, r are in H.P. and their squares are in A.P., then the ration p : q : r is

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If a₁, r are first term and the common ratio respectively then the sum of an infinite geometric series is

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If a force F = 2i + j +3k acts at point (1,-2,2) of a body then the moment of F about a pint lying on the line of action of the force is

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5

Equal to the moment of the force about origin

0

Cannot be found

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A function f(x) is said to be the periodic function if for all x in the domain of f, there exists a smallest positive number p such the f(x + p) = ______

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f(p)

f(x)

f(o)

None of these

The value of x, and y, when (x + iy)²= 5 + 4i

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X = 2, y = -1

X = -2, y=1

X = 2, y = -1

X = 2, y = 2

Choose an answer

I

|A|

|A| I

None of these

Three points whose position vector a,b,c are collinear

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axb +b x c+ c x a = 0

a,b +b,c +c,a =0

a,|a xc| =0

a+b+c =0

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2π is the period of

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sin𝜽

tan𝜽

cot𝜽

all circular function

x = 0 is in the solution of the inequality

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x > 0

3x + 4 < 0

x + 3 < 0

x - 2 < 0

The distance between the points (0 , 0) and (1, 2) is

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5

0

3

The angle AOP which the ray from an observer's eye at O to an object at P at a lower level makes with horizontal ray OA through O is called the

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Angle of depression

Angle of elevation

Acute angle

Obtuse angle

For an arithmetic series to be convergent it is necessary that the series has

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Finite terms

d<0

Infinite terms

None of these

If for two events A and B , P(A∪B)=1,then events A and B are

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Certain events

Mutually exclusive

Complementary events

Independent

The square root of 2i - 20i is

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+-(5 - 2i)

+-(5 + 2i)

(5 - 2i)

None of these

cos^-1(cos x) =

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x

cos x

x = 1/x

cos^-2 x

If the sum of co-efficient in the expansion of (a+b)ⁿis 4096, then the greatest co-efficient in the expansion is

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1594

792

924

2924

If (0, 0) and (1, 0) are the end points of a diameter, then the equation of the circle is

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If A(x₁, y₁) , B(x₂, y₂) and C(x₃, y₃) are the vertices of a triangle then its centroid is

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If x - 2 is a factor of ax2- 12x + a = 2a, then a = ______

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-5

5

0

1

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8

4

64

A set having only one element is called

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An empty set

Universal set

A singleton set

A power set

If the terminal rays of an angle falls on any axis then the angle is called

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Allied angle

Acute angle

Standard position

Quadrantal angle

______________ invented a symbolic way to write the statement "y is a function of x" as y= f(x)

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Leibniz

Newton

Euler

None of these

(a^-1)^-1=

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a^-1

a

-a

None of above

Every real number is

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a positive integer

a rational number

a negative integer

a complex number

The period of 3 sin x is

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2π

9π

3π

5π

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∀x,y∈ R and x < 0, y < 0, which one is true

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xy < o

xy = o

xy > o

None of these

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tan^-1(1/4) + tan^-1(2/9) is equal to

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1/2 cos^-1(3/5)

1/2 sin^-1(3/5)

1/2 tan^-1(3/5)

tan^-11/2

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1.5

1.2

8

None of these

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If the circle x²+ y²+ 2gx +2fy + c = 0 passes through the origin then

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c = 0

c = -1

c = -2

c = 1

4^1+x+ 4^1-x= 10 is called

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Reciprocal equation

Exponential equation

Radical equation

None of these

The value of sin-1 24/25 is equal to

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csc-1 25/24

sec-1 24/25

2 tan-1 4/5

2cos-1 24/25

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In(x²- x + 1)⁴+ c

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-8

8

8i

32

If the matrices A and B are conformable for multiplication then (AB)^t= ______

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AB

A^tB^t

B^tA^t

A^tB

A right angle is the angle of measure

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90'

60°

60"

90°

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The unit vector along x-axis is

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none of these

If z₁ =√-36 ,z₂ =√-25,z3 =√-16 then

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15

15i

-15i

-15

if one root of the equation ix2 - 2(i + 1) x +(2 - i)= 0 is 2 - i then the other root is

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-i

2 + i

i

2 - i

For a square matrix A, if A = At, then A is called

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Matrix

Transpose

Symmetric

Non-symmetric

The exact value of cos-1 (0) is

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π/2

-π/2

3π

π-π/6

The term involving x⁴in the expansion of (3 - 2x)⁷is

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120

1512

1250

15120

If circumference of circle is divided into 360 congruent parts the angle subtended by one part at the centre of circle is

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1 degree

1 second

1 minute

1 radian

Sine rule for a triangle states that

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a/sin A = b/sin B = c/sin C

sin A/a = sin B/b = sin C/c

a/sin A + b/sin B + c/sin C

2a/sin A = 2b/sin B = 2c/sin C

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360°

180°

90°

None of these

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In quadratic equation f(x) = ax²,if a >0, then the graph of parabola

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Opens up

Opens down

close up

symmetric w.r.t.x.axis

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1

2

3

4

Form a group of 5 men and 3 women, a committee of 4 persons is to be selected randomly. The probability that there is a majority of men is

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1/4

1/3

1/2

1/6

The value of sin 28°cos 17°+cos 28°sin 17°is

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For each even natural number n (n²-1) is divisible by

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6

3

4

8

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The parametric equations of a circle are

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(-6,4)

(-3,2)

(6,-4)

(3, -2)

The mid point of the line segment joining the points (3,-1) and (-3,1) is

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(3,-1)

(0,0)

(2,2)

(4,4)

Which of the following is not isoelectronic?

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Na⁺

Mg²⁺

O^2-

Cl^-

Red P can be obtained form white P by

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Heating it with a catalyst in an inert atmosphere

Distilling it in an inert atmosphere

Dissolving it in CS₂and crysllizing

Melting it ad pouring the liquid into water

The major portion of natural gas is

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Ethane

Propane

Butane

Methane

The number of unpaired electrons in Mn²⁺is

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5

4

3

2

The hydrocarbon used for polymerization is

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Alkanes

Alkenes

Alkynes

All of above

Exposure to CO results in

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Headache

Fatigue

Unconsciousness

All of these

Across the lanthanide series, the basicity of the lanthanide hydroxides

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Increases

Decreases

First increases and then decreases

First decreases and then increases

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Initial concentration of acetic acid

Initial concentration of ethyl acetate

Equilibrium concentration of acetic acid

Equilibrium concentration of ethyl acetate

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

Which of the following is not fatty acid?

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Propanoic acid

Acetic acid

Phthalic acid

Butanoic acid

Which one of the following is not an example of chain growth polymer?

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Neoprene

Bunna-S

PMMA

Glyptal

A nucleophilic reagent will readily Attack

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Ethylene

Ethanal

Ethanol

Ethylamine

Light emitted from a source has its wave length 500nm, then its wave number will be

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2 x 10⁶m^-1

2 x 10⁷m^-1

5 x 10⁸m^-1

5 x 10⁹m^-1

The M.P. of carboxylic acids containing even number of carbon atoms is ______ than the next

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Higher

Low

Equal

None

The molar boiling point constant is the ration of elevation in boiling point to :

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Molarity

Mole fraction of solvent

Mole fraction of solute.

What is the volume in cm³of 3.01 x 10²³molecules of O₂gas at S.T.P

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1000 cm³

11000 cm³

1120 cm³

11200 cm³

Which one of the following is not a nucleophile

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H₂O

H₂S

BF₃

NH₃

If 5.85 of NaCI are dissolved in 90g of water the mole fraction of NaCI is

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0.1

0.01

0.2

0.0196

Polycyolic aromatic hydrocarbons are taught to be

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Disinfectant

Carcinogenic

Helpful

Reactive

Which one of the following statements is not correct

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A molecule is the smallest particle of an element which can exist independently

He is a molecule of helium

S₈is a molecule of sulphur

O₃is a molecule of oxygen

A molecule in which sp²hybrid orbitals are used by the central atom in forming covalent bonds in

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He₂

SO₂

PCl₅

N₂

The freezing mixture used in ice cream machine consists of ice and

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NaCI

KCI

MgCI₂

NaNO₃

The equilibrium constant in a reversible chemical reaction at a given temperature

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Depends on the initial concentration of the reactants

Depends on the concentration of one of the products at equilibrium

Does not depend on the initial concentration of rectants

It is characteristic of the reaction

Heat absorbed by a system when its volume does not change is equal to

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Internal energy of system

Enthalpy of system

Increase in internal energy of system

Increase in enthalpy of system

Which of the following order is incorrect w.r.t property indicated?

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Formic acid > Acetic acid > Propionic acid (ACID STRENGTH)

Cyclohexanol < Phenol < Benzoic acid ( ACID STRENGTH)

Benzamide < Aniline < Cyclohexylamine ( ACID STRENGTH)

FCH₂COOH > CICH₂COOH > BrCH₂COOH (ACID STRENGTH)

In endothermic reaction, the heat content of the

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Products is more than that of reactants

Reactants is more than that of products

Both a and b

None of the above

Molarity of pure water is :

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33.3

55.5

44.4

66.6

B.O.D is connected with

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Organic matter

Microbes

Mircrobes and organic matter

None of the above

The sp²hybird orbitals are oriented in space at one angle

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180°

109.5°

100°

120°

Fungicides are the pesticides which

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Control the growth of fungus

Kill insects

Kill plants

Kill herbs

Alkynes are colourless & odouless except

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Acetylene

Propyne

Butyne

Pentyne

The process in which the solvent molecules are surrounded and interact with solute ions or molecules is called

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Solvation

Hydration

Hydrogenation

None

Splitting of spectral lines when atoms are subjected to strong electric field is called:

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Zeeman effect.

Stark effect

Photoelectric effect.

Compton effect.

Alkaline battery has a voltage of

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4.5 V

3.5 V

2.5 V

1.5 V

In the chemical combination of sodium and hydrogen to form NaH:

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Hydrogen atom gains an electron.

Sodium atom gains an electron.

Both the atoms share the electron.

Gasoline is a mixture of hydrocarbons containing carbon atoms

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5 to 10

5 to 8

5 to 12

5 to 11

Content of carbon in steel is:

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0.12 to 0.25%

0.25% to 2.5%

3.0 to 3.5%

4.0 to 4.5%

The main pollutant of leather tanneries in the waste is due to the salt of:

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lead

Chromium (VI)

Copper

Chromium (III)

Ethyl alcohol gives ethyl chloride with the help of

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SOCl₂

NaCl

Cl₂

KCl

The natural fertilizers consist of

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Plants

Animals

Both plants and animals

Microorganisms

Benzene was discovered by Michael Faraday's in

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1824

1825

1826

1827

d-block elements closely resemble in their physical and chemical properties. Which statement is incorrect

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They show variable valency

Their ions and compounds are coloured

They are good conductors of heat and electricity

Their compounds are diamagnetic

The largest item which is recycled is

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Newspaper

Plastic

Aluminium

Oil

The electrolysis of CuSO₄aqueous solution using copper as cathode as well an anode the substance which deposits at cathode is

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H₂SO₄

Oxygen

Copper

Hydrogen

Both E₁and E₂mechanism can be shown by

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1° - RX

2° - RX

3° - RX

None of these

Drained sewage has B.O.D

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More than that of water

Less than that of water

Equal to that of water

None of the above

Which one of the following gases is used for artificial ripening of fruits

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Ethene

Ethane

Methane

Propane

Which of the following salt is soluble in water

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CaCO₃

CaSO₄

MgSO₄

BaSO₄

Meta directing group decreased the ----------- of benzene ring

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Physical activity

Chemical reactivity

Density

None

Polythene is a polymer of

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Ethane

Ethene

Acetone

Propylene

The reactivity order of alkyl halides for a paricular alkyl group is

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Fluoride > chloride > bromide > iodide

Chloride > bromide > fluoride > iodide

Iodide > bromide > chloride > fluoride

Bromide > iodide > chloride > fluoride

Which of the following elements have the largest radius

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F

Cl

Br

l

Some of the elements of a period show similar behavior with the elements of next group in next period this is called

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Vertical relationship

Oblique relationship

Diagonal relationship

None

Polymerization of ethane take place at pressure of 100 atm and a temperature of

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200°C

400°C

600°C

800°C

Zn + HCI are used in

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Clemenson reduction

Wof kishner reduction

Kolb's electrolysis

Wutruz reaction

The number of unpaired electrons in the p-subshell of oxygen atom

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1

2

3

4

The rate determining step is the :

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Slowest step.

Fastest step.

Moderate step.

Both (a) and (b).

The fibre which is obtained from naturally occurring proteins is called

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Saran

Azlon

Rayon

Nylon

Protein may have

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Primary structure

Secondary structure

Tertiary structure

All of these

Which reagent is used to reduce a carboxylic group to an alcohol

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H₂/Ni

H₂/Pt

NaBH₄

LiAIH₄

The polymers which can be re-softened again and again are caled

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Thermoplastic

Thermosetting

Both a and b

None

A peptide having molecular mass upto 10,000 is called a

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Vitamin

Protein

Polypeptide

Dipetide

K_spvalue for PbSO₄= 1.8 x 10^-8mole²dm^-6. The maximum concentration of Pb⁺⁺ions is

Choose an answer

1.34 x 10^-4mole dm^-3

1.8 x 10^-4

3.6 x 10^-16mole dm^-3

1.0 x 10^-8mole dm^-3

Which of the following acid can be used as a catalyst in Friedal Craft's reactions

Choose an answer

AlCl₃

HNO₃

BeCl₂

NaCl

Which is a component of macronutrient?

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Zn

N

Mo

Cl

Pakistan in the beginning was a country :

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Industrial

Chemical

Agrarian

Technologies

The entropy of the universe

Choose an answer

Constant

Is equal to zero

Decreasing

Increasing

Ethylene can be prepared in the laboratory by heating together ethyl alcohol and

Choose an answer

HCI

Phenol

HF

H₂SO₄

Which of the following is an inert gas?

Choose an answer

H₂

O₂

N₂

Argon

The oxidation number of Ni in [Ni(CO)₄] is

Choose an answer

+1

0

+4

-4

Ionization energies increase from left to right along the period due to

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Increase in nuclear charge

Repulsion of electron increases

Repulsion of protons increase

Atomic size increase along the period

When cathode rays strike the anode metal X-rays are emitted and not the positive rays because

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Cathode rays are material particles

Cathode rays knock out electrons from anode, which emit X-rays when outer electron take their place

Cathode rays are absorbed by the nucleus

Cathode rays become heated

Most common oxidation states shownby cerium are

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+2, +4

+3, +4

+3, +5

+2, +3

Which of the following is a constituent of nylon?

Choose an answer

Adipic acid

Styrene

Teflon

None of these

Plastics are a pollution problem because many plastics

Choose an answer

Are made from petroleum

Are very inflammable

Burn to produce toxic fumes

Decompose to produce toxic products

Organic compounds resemble to those of inorganic compounds having same

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Ionic properties

Carbon forming long chain or rings

Chemical forces

Isomerism

NaH is

Choose an answer

Ionic hydride

Complex hydride

Covalent hydride

Interstitial hydride

Which statement about an atom is true ?

Choose an answer

The number of neutrons is not equal to number of electrons

Mass number is less than atomic number

All the elements have only one mass number

Mass number can be equal to atomic number

In a group, the ionization energy

Choose an answer

Increase

Decreases

Remain constant

First increases then decreases

The ph of 10-3 mole dm-3 of an aqueous solution of H₂SO₄ is :

Choose an answer

3.0

2.7

2.0

1.5

In the modern periodic table the elements are placed in the ascending order of their

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Atomic masses

Melting points

Boiling points

Atomic numbers

During the preparation of alkanes the hydrogenation of alkenes or alkynes the catalyst may be

Choose an answer

H₂SO₄

Ni

Fe₂O₃

Al₂O₃

Mild oxidation of glycerol with H₂O₂/FeSO₄gives

Choose an answer

Glyceraldehyde

Dihydroxy acetone

Glycerose

None

The number of elements in the 4th periods of periodic table is

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8

10

18

32

The oxidation number of chromium in K₂Cr₂O₇is

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14

12

6

None of these

The example of colligative property is

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Boiling point

Osmosis

Freezing point

Osmotic pressure

Which property is not present in Al?

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Reacts with acid

Reacts with bases

Changes litmus paper

Changes methyle orange colour

The rate of which the reaction proceeds is directly proportional to the product of the active masses of the reactants is according to

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Law of mass action

Le Chateliers principle

Equilibrium law

Law of constant proportion

Choose an answer

At room temperature, the mole fraction of a solution in 0.25 and the vapour pressure of the solvent is 0.80 atm. Then the lowering of vapour pressure is

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0.75

0.512

0.80

0.0512

Property of transition element is :

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Low m.p and b.p

Parramagnetism

Oxidation state

Low binding energies

The order of dehydration of alcohol

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10> 20> 30

10> 30> 20

20> 30> 10

30> 20> 10

B-atom in BF₃has

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sp³hybridization

sp²hybridization

sp hybridization

no hybridization

The unit of rate of reaction is

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mole dm^-3

mole Kg^-1

moles dm^-3sec^-1

grams dm^-3

Refrectrometric method is used when

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Reactions involving absorption of I.R. or U. V

Reactions involving change of refractive index

Reactions involving ions

Change of optical activity

The total number of inner transition elements in the periodic table is

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10

14

28

30

The number of subatomic particles in atoms sidcovered is more than:

Choose an answer

110

100

125

90

Which represents nucleophilic aromatic substitution reaction?

Choose an answer

Reaction of benzene with Cl₂in sunlight

Benzyl bromide hydrolysis with water

Reaction of NaOH with dintrofluoro benzene

Sulphonation of benzene

Choose an answer

Electronphilic substitution

Electrophilic addition

Free radical substitution

Nuclephilic substitution

The sample being analyzed is called

Choose an answer

Electrolyte

Substance

Analyte

All of above

Chromium (VI) is highly toxic and can cause

Choose an answer

Blindness

Cancer

Liver problems

Blood problems