Question # 1

Every natural number is

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A prime number

An irrational number

An integer

An even number

The domain of the principle cos function is

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The modulus of a vector i-i+ k is:

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√3

1

√2

∞

f(x) = x3-x/x2+1 is :

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an even function

an odd function

an even and implicit function

neither even nor a odd

The distance of the point (2.3) from x-axis is

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2

3

5

For any set X, X∪X is

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X

X'

Φ

Universal Set

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30°

45°

60°

90°

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n(A)

n(B)

0

1

If a > b or a < b than a = b is a

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Additive property

Transitive property

Trichotomy property of inequality

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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Which of the following is not a quadrantal angle

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90°

100°

180°

270°

A,G,H are in

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A.P

G.P

H.P

None of these

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1

2

3

sin -1(sin2π/3) =

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π/2

2π/3

-3π/2

π/3

A = [3] is a/an

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Square matrix

Scalar matrix

Diagonal matrix

Identity matrix

The set of real roots of the equation log_{(5x + 4)}(2x +3)³- log_{(2x + 3)}(10x²+ 23x + 12) = 1 is

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{-1}

{-3/5}

Empty set

{-1/3}

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

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Always negative

Zero

Always positive

Infinity

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1

-1

The center of the sphore which passes thro' (a, 0, 0), (0, b, 0), (0, 0, c) and (0, 0, 0) is

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The first three terms in the expansion of (1 + x)^-1are

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1 + x + x²

1 - x - x²

-1 -x + x²

1 - x + x²

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tan 294° =______;

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tan 24°

-tan 24°

cot 24°

-cot 24°

If S is a sample space and event set E =Φ then P(E) is

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>0

1

<1

0

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If distance between (a,2) and (0,0) is 2 then a = _______

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0

2

4

Given two numbers a and b. Let A denote the single A.M. between these and S denote the sum of n A.M.'s between them. Then S/A depends upon

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n, a, b

n, a

n, b

n

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2

7

8

12

Derivative of strictly increasing function is always

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Zero

Positive

Negative

Both (A) and (B)

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If 4 - x >5, then

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x > 1

x > -1

x < 1

x < -1

w^-1= ______

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0

1

w

w²

The eccentricity of the conic 9x²- 16y²= 144 is

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4/5

5/4

4/3

3/4

Both the roots of the equation (x - b) (x - c) + (x - c)(x - a) + (x - a)(x - b) = 0 are always

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Positive

Negative

Real

None of these

Trival solution of homogeneous linear equation is

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(0, 0, 0)

(1, 2, 3)

(1, 3, 5)

a.b and c

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A prime number

An integer

A whole number

An irrational number

The vertex of the graph of the quadratic function f(x) =-x2+6x+1,is

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(-3,10)

(-3,-10)

(3,10)

(3,-10)

The slope of x-axis is

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0

undefined

1

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Zero matrix

Diagonal matrix

Column matrix

Scalar matrix

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both a & c

The number of values of x in the interval [0, 5π] satisfying the equation 3 sin²x - 7 sinx + 2 = 0 is

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0

5

6

10

An equation of the form ax + by = k is homogeneous linear equation when:

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The vertex of the standard position angles lies on

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(0,0)

(0,1)

(1,0)

(1,1)

If A⊆ B, and B is a finite set, then

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n (a) < n(B)

n(B)<(A)

n(A)≤ n (B)

n(A)≥ n(B)

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A function from X to Y is written as

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f : X to Y

f : Y to Y

How many comittees of 5 numbers can be chosen from a group of 8 players person when each committee must include 2 particular persons

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8!

5!3!

5!

20

The central angle of an arc of a circle whose length is equal to the radius of the circle is called the

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degree

radian

minute

second

The maximum value of 12 sinθ-9 sin²θis x

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3

4

5

None of these

F(x) = x^xdecreases in the interval

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(0, e)

(0, 1)

(-∞,0)

None

The angle between the vectors u =2i - i + k and v = -i + i is:

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3π/2

2π/3

5π/6

π/3

The number of subsets of a set having three elements is

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4

6

8

none of these

A non-terminating, non-recurring decimal represent

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A natural number

A rational number

An irrational number

A prime number

The set { {a, b} } is

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Infinite set

Singleton set

Two points set

Empty set

The set of the first elements of the orders pairs forming a relations is called its

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Relation in B

Range

Domain

Relation in A

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A conditional is regarded as false only when the antecedent is true and consequent is

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True

False

Known

Unknown

Roots of the equation x²+ 7x + 12 = 0 are

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{3, -4}

{-3, 4}

{3, 4}

{-3, -4}

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3

2

8

0

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2

6

The process of finding a function whose derivative is given is called a

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Differentiation

Integration

Differential

None

Which one represents a sequence

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an

Sn

a(n)

{an}

Decimal part of irrational number is

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Terminating

Repeating only

Neither repeating nor terminating

Repeating and terminating

The roots of the equation will be irrational if b²- 4ac is

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Positive and perfect square

Positive but not a perfect square

Negative

Zero

Domain of y = scs x is

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All real numbers except π/2 + n*π

R

All negative integers

None of these

The set R is ______ w.r.t subtraction

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Not a group

A group

No conclusion drawn

Non commutative group

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Power set of X i.e P(X)..........under the binary operation of union U

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Forms a group

Does not form a group

Has no identity element

Infinite set although X is infinite

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A,. B, C are coincident

A, B, C are collinear

Both A and B

None of these

If the st. line 3x + 4y = K touches the circle x²+ y²- 10x = 0 then the value of K is

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-1 or 20

-10 or 40

-2 or 20

2 or 20

A quadratic equation in x is an equation that can be witten in the form

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ax²+ b = 0

ax³ +b²+c=0

ax² +bx+c=0

ax³ +bx³+cx=0

If in a set of real no a is multiplicative identity then

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a,a = a²

a,a = 1

a,a = 0

None of these

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A complex number

A rational number

A natural number

An irrational number

If u =[3,-4],then modulus of uis:

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5

5i

-5

√5

If two balls are drawn from a bag containing 3 white, 4 black and 5 red balls. Then the probability that the drawn balls are of different colours is

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1 / 66

3 / 66

19 / 66

47 / 66

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A rule or correspondence that assigns to each element x in X a unique element y in Y is called a function from

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X to X

X to Y

Y to X

none of these

(x³-1/2x)⁶is

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15/16 x²

2/13 x²

17/7 x²

16/15 x²

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none of these

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If a plane passes through the vertex of a cone then the intersection is

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an ellipse

a hyperbola

a point circle

a parabola

(A∪B)∪C= --------------------------

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A∩B(B∪C)

A∪(B∪C)

A∪(B∩C)

None of these

A function which is to be maximized or minimized is called an

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Explicit function

Implicit function

Objective function

None

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

A - B = ______

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The second degree equation of the form Ax2 +By2 +Gx +Fy +C =0 represent hyperbola if

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A = B≠ 0

A≠ B and both are of same sign

A≠ B both are of opposite sign

Either A = 0 or B =0

Every real number is

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A complex number

A rational number

A natural number

A prime number

Name the property used in 100 + 0 = 100

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Additive inverse

Multiplicative inverse

Additive identity

Multiplicative identity

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0

-1-w²

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sec x tan x

-cosec x cot x

sec²x

-sin x

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If |a x b|2 + (a,b)2 = _____

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|a|2 + |b|2

|a|2- |b|2

|a|2|b|2

None

The value of k (k > 0) for which the equation x²+ kx + 64 = 0 and x²- 8x + k = 0 both will have real roots is

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8

-16

-64

16

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Benzene has a -------- structure

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Pentagonal

Hexagonal

Heptagonal

Tetragonal

Violet colour is obtained when dilute CuSO₄is added in alkaline solution of protein. This test is known as

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Biuret

Xanthoproteic test

Hopkins-cole

All of these

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Equal volumes of N₂and H₂are reacting

Equal masses of N₂and H₂are reacting

The reaction has stopped

The same amount of ammonia is formed as is decomposed into N₂and H₂

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s

p

d

f

What is the total number of different chloroethanes, formula C₂H_6-nCl_n, where n can be any integer from 1 to 4

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4

6

7

8

Relative atomic mass of an element is the mass of the element relative to

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1/12 mass of carbon-12

1/12 mass of carbon

1 mass of hydrogen atom

1/16 mass of oxygen

Which of the following salt is used as purgative

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CaSO₄

MgSO₄

BeSO₄

NaCl

Hydrogenation of alkenes/alkynes inthe presence of Ni as catalyst at 3000°C result in the formation of corresponding alkanes. This reaction is known as

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Sabatier-senderens reaction

kolbes reaction

Cannizaro's reaction

Haloform reaction

The four bonds of carbon in methane are directed towards the corners of

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Cube

Pentagon

Hexagon

Tetrahedron

Molecules of High molecular weight usually greater than 10,000 are called:

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Macro molecules

Mega molecules

Poly molecules

Gega molecules

At present oil refineries in Pakistan are:

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One

Two

Three

Four

The pressure of vapours when sent to the ionization chamber in mass spectrometer is

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10^-5to 10^-6torr

10^-6to 10^-7torr

10^-7to 10^-8torr

10^-3to 10^-4torr

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Excitantion of an electron from 2s to 2p-orbital

Transfer of three electrons from B to the other atoms

Excitation of two electrons form 2s orbital to 2p orbital

Formation of molecular ion

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2, 3-dimethylbutane

2, 3-methylbutane

2-dimethylbutane

Dimethylbutane

When phenol is reduced in the presence of Zn dust, we get

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Cyclohexene

Cyclohexane

Benzene

Benzyne

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A primary alcohol

A secondary alcohol

An eher

A phenol

Which one is a nitrogen fertilizer

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Urea

Calcium sulphate

Potassium phospahte

Magnesium carbonate

Which statement is true for Na and Na⁺

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Size of Na is smaller than Na⁺

Size of Na is greater than Na⁺

Both have same properties.

Both have equal sizes.

The orbitals having n + l = 5 are

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2p, 3d,3s

3p, 3d, 5s

3s, 4p, 4d

5s, 4p, 3d

The atom of an element is

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The smallest particle

The fundamental particle

The independent particle

The charged particle

An element of the third period (Na to S) is heated in chlorine. The product is purified and then added to water. The resulting solution is found to be neutral. What is the element

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Sodium

Aluminium

Silicon

Phosphorus

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-76 KJ

-57 KJ

-171 KJ

-114 KJ

In the extraction of iron, slag is produced which is

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CO

FeSiO₃

MgSiO₃

CaSiO₃

Calcium carbide reacts with water to produce

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Acetylene

Methane

Ethylene

Ethane

The wave length of visible light is 500 nm. In S.I. unit this value is

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5 x 10^-8m

5 x 10^-9m

500 x 10^-7m

500 x 10^-9m

The formula of ketone is

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None of these

How many structural acid cis-trans isomers are there for dichloroprepe, C₃H₄Cl₂

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3

5

6

7

Which of the following is not related to transition metals

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They have a high tensile strength

They are ductile

They are malleable

They have low melting points

95% ethanol is called:

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Rectified other

Diesel

Rectified spirit

Petrol

Product of concentration of ions raised to the power equal to the co-efficient of ions in balanced equation for saturated solution of a salt is called

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Ionic product

Equilibrium constant K_c

K_w

Solubility product (K_sp)

The geometry of acetylene is

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Angular

Bent

Trigonal

Linear

The force which holds the atoms together to form a compound is called

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A chemical bond

Van der waal's force

Dispersion force

London force

Pick out the wrong statement. In electrochemical cell

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Electrons are released at anode

Cathode is regarded as negative electrode

Chemical energy is converted into electrical energy

Salt bridge maintains the electrical neutrality of the solution

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

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Ethane

Ethyne

Methane

Propane

Which element among the following belongs to Group IV-A of the periodic table?

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Barium

Iodine

Lead

Oxygen

Which of the following compounds contains the highest percentage by mass of nitrogen?

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Ammonia, NH₃

Ammonium carbamate, NH₂CO₂NH₄

Ammonium carbonate, (NH₄)₂CO₃

Hydrazine, N₂H₄

Hydrolytic reaction of fats by causic soda is known as

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Acetylation

Carboxylation

Esterification

Saponification

Maximum variable oxidation state is of:

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Mn⁺²

Fe⁺³

Cr⁺¹

a and b

Heat,. work and internal energy of the system and surroundings are related into an equation which is called

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First law of thermodynamics

Hess's law

Henry's law

Born-haber cycle

Hybridized in carbon is:

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sp

sp²

sp³

d²sp

High purity copper metal is obtained by

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Carbon reduction

Hydrogen reduction

Electrolytic reduction

Thermite reduction

In which of the following pairs, the numbers of electrons in the outermost shell are different?

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As,Sb

Ge,Sn

In,pt

Se,Te

What is the nature of Al₂O₃

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Acidic

Basic

Amphoteric

Neutral

Dehydration of an alcohol at 180°

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Alkene

Ether

Ester

An hydride

Macromolecules are

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organic molecules

High molecular mass molecules

Natural compounds

Rarely occurring molecules

Glyptal polymer is obtained from glycerol on reacting with

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Malonic acid

Phthalic acid

Maleic acid

Acetic acid

Hybridized in oxygen is:

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sp

sp²

sp³

dsp³

Choose an answer

4 mole per dm³

2 mole per dm³

0.33 mole per dm³

0.67 mole per dm³

Boiling point of acetic acid is°C:

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116

117

118

119

The shape of the molecule SF₂Cl₂is

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Trigonal bipyradmidal

Cubic

Octahedral

Tetrahedral

A solution of glucose is 10% The volume to which 1g mole of it dissolved will be :

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8.1 dm³

1.7 dm³

1.8 dm³

6.1 dm³

When acetic acid and ethanol react together an ester is formed which is called

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Ethyl ester

Ethanoic acid

Ethyl acetate

Which has greater number of moles

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0.1 g sodium

6.02 x 10²⁰atoms of magnesium

20 cm³0.1mole per dm³of NaOH

12.2 dm³of nitrogen at standard

[A_rNa = 23, Mg = 24, O = 16]

Which of the following is the most suitable method for removing the traces of water from ethanol?

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Reacting with Na metal

Passing dry HCl through it

Distilling it

Reacting with Mg

Which one of the following elements occurs free in nature?

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N

P

As

Sb

Water H₂O is liquid while hydrogen sulphide H₂S is a gas beause

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Water has higher molecular weight

Hydrogen sulphide is a weak acid

Sulphure has high electronegativity than oxyhe

Water molecules associate through hydrogen bonding

Which of the following reagent cannot be used for preparing alkyl chloride from alcohol?

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HCl + anhyd. Zncl₂

NaCl

PCl₅

SOCl₂

Raney - nickel is the alloy of Ni with

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Pt

Al

Cu

Pd

When an electric current is passed through discharge tube at low pressure, cathode rays are emitted from cathode these rays consist of:

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Alpha rays.

Negative particles.

Electromagnetic rays.

Positive particles.

Which is the polymer that has amide linkage in its structure

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PVC

Poly ethene

Polyester

Nylon

Which of the following is a constituent of nylon?

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Adipic acid

Styrene

Teflon

None of these

The quality of petroleum is determined by

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Decane number

Octane number

Nexane number

None of these

Which of the following gases is used for illuminating purpose?

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Methane

Ethane

Propane

Butane

Which of the following was discovered first:

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Charge to mass ratio of electrons.

Mass of electrons.

Charge of electrons.

All of above at same time.

Most transition elements show

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Diamagnetic behavior

Ferromagnetic behavior

Paramagnetic behavior

None of these

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 normal amount of overhead ozone is about

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250 Du

300 DU

350 DU

400 DU

Aniline reacts with which of these to form Schiff base?

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Acetic acid

Bezaldehyde

Acetone

NH₃

Carboxylic acids on complete reduction in the presence of HI and red Phosphours gives:

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esters

alcohols

alkanes

aldehydes

Which of the following is obtained when Fe reacts with dil. HNO₃?

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N₂O

NO

NO₂

None of these

In 1000 molecules of 0.001 M acetic acid the number of H⁺ions is 12.6, then its percentage of ionization is

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1.33%

1.26%

12.6

1%

Which is not nitrogeneous fertilizers?

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(NH₄)₂HPO₄

NH₄NO₃

Urea

Calcium phosphate

The reaction of sodium with ethanol gives

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CH₃OH

NaH

H₂O

H₂

The unit of rate of reaction is

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mole dm^-3

mole Kg^-1

moles dm^-3sec^-1

grams dm^-3

Use of glycol as anti freeze in the automobile is an important application of

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Colligative property

Raoult's law

Fractional crystallization

Prrhenivs law

The diameter of atoms is of the order:

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2* 10^-5m

2* 10^-10m

2* 10^-2m

2* 10^-3m

Aliphatic carboxylic acids have carboxyl group attached to:

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Alkyl group

Aryl group

Phenyl group

Benzyl lgroup

Atoms can be evident by use of electron microscope, field ionization microscope and:

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x-rays

Video camera

Telescope

Compound microscope

A polymeric substance that is formed in the liquid state and then hardened to a rigid solid is called:

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Fibre

Plastic

Vanish

Polyamide resin

In aldol condensation reaction, a double bond is formed between ______ and ______ carbon atoms

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αandβ

αandα

αand Y

None of these

The unit of specific conductivity is

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Ohm cm^-1

Ohm cm^-2

Ohm^-1cm

Ohm^-1cm^-1

The amount of heat evolved or absorbed in a chemical reaction indicated by balanced chemical equation at 25° and one atmospheric pressure is called

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Enthalpy of formation

Enthalpy of neutralization

Enthaply of combustion

Enthaply of reaction

The raw materials for the manufacture of urea fertilizer is

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Hydrogen and ammonia

Steam, methane, ammonia

Methane and air

None of these

Which of the following is an electrophile

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Bromine

KBr

NH₃

Benzene

Write the name of following compound

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5 - methyle - 2- hexene

2 - methyle hexene

4 - ethyle - 2 - methyle hexene

3 - ethyle - 3 - methyl hexene

Two vitamins absorbed from intestine along with fats are

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A, D

A, B

A, C

D, B

The actual number of atoms or molecules taking part in rate determining step is

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Rate of reaction

Velocity of reaction

Order of reaction

Molecularly

Plastics are a pollution problem because many plastics:

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Are made from petroleum

Are very inflammable

Burn to produce toxic fumes

Decompose to produce toxic products

The geometry of [Co(NH₃)₆]³⁺is

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Tetrahedral

Square planar

Octahedral

None of these

The catalyst,. which is used as specialist for cracking, are

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Aluminates

Alumlnosilicates

Aluminium slats

All can be used

Addition of iron fillings to CuSO₄solution caused precipitation of Cu owing to the

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Reduction of Cu²⁺

Oxidation of Cu²⁺

Reduction of Fe

Reduction of Fe³⁺

In electrolytic cells, the chemical changes may be :

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Either spontaneous or non-spontaneous

Always spontaneous

Always non-spontaneous

More spontaneous and less non-spontaneous.

Clemensen's reduction of ketones is carried out in

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H₂with Pd catalyst

Glycol with KOH

LiAIH₄in water

Zn-Hg with conc. HCl

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

The organic compounds which are derivative of hydrocarbons of oxygen are:

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Carbohydrates

Phenols

Alcohals

All of these

Which is the correct electronic configuration of Cr - 24

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1s², 2s², 2p⁶, 3s², 3p⁶, 3d⁴, 4s²

1s², 2s², 2p⁶, 3s², 3p⁶, 3d³, 4s², 4p¹

1s², 2s², 2p⁶, 3s², 3p⁶, 3d⁵, 4s¹

1s², 2s², 2p⁶, 3s², 3p⁶, 3d⁵, 4p¹

The galvanic or voltaic cells which are rechargeable called as

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Primary cells

Secondary cells

Dry cells

Infinite cells

Carboxylic acids are more acidic than pehnol and alcohol because of

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Intermolecular hydrogen bonding

Formation of dimmers

Highly acidic hydrogen

Resonance stabilization of their conjugate base

There are 20α-amino acids found in protein 19 have -- NH₂as the amino group. Only one of theα-amino acids has a secondary amino group which one is this

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Glycine

Lysine

Proline

Cystein

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

According to the SI-system heat contents are measured in units of

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Calorie

Joules

Ergs

Watts