Question # 1

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{0} is a

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Empty set

Singleton set

Zero set

Null Set

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The multiplicative inverse of -1 in the set {1-, 1} is

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1

-1

0

Does not exist

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

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10π

25π

5π

25/2π

Sum of two quantities is at least 20 is denoted by

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x +y =20

x +y≥ 20

x +y≠ 20

x +y≤20

If a=5j + 2j,b=2i -3j, then|a+2b|=

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√21

√97

√39

None of these

The equation of the circle with centre origin and radius r is

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x²+ y²= 1

x²+ y²= r²

x²+ y²= 0

x²- y²= r²

For three consecutive terms in A.P middle term is called

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A.M

nth term

Central term

None of these

If l, m, n are the d.c.'s of a line, then

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l2+ m2+ n2= 0

l2+ m2+ n2= 1

l + m + n = 1

l = m = n = 1

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1

1/2

0

None

If a = {2m/2m < 9 ,m€ p} , the (n A) =

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{2,3,4,5,6,7,8}

{2,4,6,8............16}

{ 4, 6}

{2,3,5,7}

How many signals can be given by 5 flags of different colours, using 3 flags at a time

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120

60

24

15

The two different parts of the hyperbola are called its

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Vertices

Directrices

Nappes

Branches

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a tan(ax + b) + c

- a tan(ax + b) + c

The function discontinuous at x = 0 is (1) tan x (II) cot x (III) sec x (iv)cosec x)

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I & III

I & IV

II & IV

II & III

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0

1

-1

2

If x³- x²+ 5x+ 4 is divided by x - 2, then the reminder is

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0

2

18

14

The ortho center of triangle whose vertices are (0,0)(3,0)(0,4) is

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(0,0)

(1,1)

(2,2)

(3,3)

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y : x

x : y

-y : x

-x : y

The interval in which f(x)=x3-6x2+9x is increasing

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1<x<3

x<1 and x>3

X ≥1 and x ≤ 3

-∞ < x < ∞

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

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(2x4)

(2x7)

(2x3)

(7x2)

The triangle that does not have a right angle is called.

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Isosceles triangle

right angle triangle

equivalent triangle

oblique triangle

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An infinite sequence has no

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nth term

Last term

Sum

None of these

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I quadrant

II quadrant

III quadrant

IV quadrant

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We solve the system of non-homogeneous linear equations by

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a and b

b and c

c and a

a,b and c

(1+w)(1+w2)(1+w4)(1+w8)....50 factors

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0

-1

1

2

Range of cot x is ______

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[-1, 1]

R

Negative real numbers

R - {x | - 1 < x < 1}

The constant distance of all points of the circle from its centre is called the

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radius of the circle

secant of the circle

chord of the circle

diameter of the circle

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sin h x = ___________

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The set of integers is a subset of

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The set of natural numbers

The set of whole numbers

The set of prime numbers

The set of rational numbers

For what value of k, 3x -2y+ k= 0 is tangent to the circle x2 +y2 +6x -4y =0

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k=0

k=0 or 26

k = 26

k=-13

If A = [aij]mxpand B =[aij]pxnthen order of BA is

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m x n

p x n

n x m

None of these

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0

-4

none of these

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

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I is not

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Real number

Natural number

Prime Number

Whole Number

When rational fraction is separated into partial fractions, the result is

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an identity

A fraction

A partial sum

Improper fraction

The seventh term of an A.P whose first term is P and common difference is q. is

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P-6q

P+6q

P-4q

P-nq

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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none of these

If n is a positive integer then n! is

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(n - 1) (n - 2) .....3,.2.1

n(n - 1) (n - 2) ...3.2.1

n(n - 1 ) ( n -2) ... 3

None of these

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

The sum even binomial coefficient of (3+2x)5 is ______term

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16

30

8

32

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Additive property of inequality

Commutative property

Additive inverse

Additive identity

If f(x) = x²- x then f(2) is

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4

6

2

0

Let A,B, and C be any sets such that A∪B = A∪C and A∩B = A∩C then

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A≠ C

B = C

A = B

A≠ B

If the vector 2i + 4j - 7k and 2i + 6j + xk are perpendicular then x = ?

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0

2

4

7

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Associative property of addition

Commutative property of addition

Distributive property

Additive identity

The period of cot 8x is

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π/10

9π/7

π/9

π/8

The function f : x→ y defined as f (x) =α∀x∈ X,α∈ y is called

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Constant function

Polynomial function

Identity function

Linear function

The domain and range of a trigonometric function can be allocate by their

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graph

Continuity

Discontinuity

Periods

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∀ z ∈ C, multipliucative is

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(1,1)

(1,0)

(0,1)

None of these

3x + 4 > 0 is

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equation

inequality

identity

none of these

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i is equal

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(1 , 0)

(0 , 1)

(1 , 1)

(0 , 0)

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none of these

p, q, r and s are integers. If the A.M. of the roots of x2- px + q2= 0 and G.M. of the roots of x2- rx + s2= 0 are equal, then

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q is an odd integer

r is an even integer

p is an even integer

s is an odd integer

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If f(x) = x³- 2x²+ 4x -1 then f(0) is

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0

1

-1

none of these

For Cosine Rule of any triangle ABC, b²is equal to

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a²- c²+ 2ab cos A

a³+ c³- 3ab cos A

a²+ c²- 2ac cos B

a²- c²4bc cos A

Which of the following is a quadrantal angle

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100°

200°

170°

270°

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

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4

3

50

7

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[i,j,k]

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0

2

1

-2

The set { {a, b} } is

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Infinite set

Singleton set

Two points set

Empty set

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The geometrical representation of a linear function is

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Circle

Parabola

Straight lie

None of these

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quadrant I

quadrant II

quadrant III

quadrant IV

How many arrangements of the letters of the word ADDING can be made

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8

1/56

56

None of these

If f:A→B is an injective function and second elements of no two of its ordered pairs are equal, then f is called

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1-1 and onto

Bijective

1-1 and into

None of these

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P(A) + P(B)

P(A) - P(B)

P(A) . P(B)

P(A) / P(B)

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0

1

2

3

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cos x + c

-sin x + c

-cos x + c

sin x + c

The set Q

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Forms a group under addition

Does not form a group

Contains no additive indentity

Contains no additive inverse

Digit in the unit place of the number 183! + 3¹⁸³

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7

6

3

0

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2

4

8

16

Every natural number is

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A prime number

An irrational number

An integer

An even number

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(fog)′(x) =f′(g(x))g′(x) is derivative by

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Chain rule

Reciprocal rule

Power rule

Product rule

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184

none of these

The third term of a G.P. is the square of first term. If the second term is 8, then the 6th term is

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120

124

128

132

The quadratic formula is

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image

pre-image

constant

none of these

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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One-to-one and onto

One-to-one but not on to

Onto but not one-to-one

Neither one-to-one nor onto

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

In R, the multiplicative inverse of a is

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0

1

-a

1/a

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Any substance in the environment which adversely affects the human health and natural functioning of the Ecosystem is known as

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Environment

Hydrosphere

Pollutant

Biosphere

A bond between two atoms may be obtained by sharing of electrons such a bond is called

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An ionic bond

A coordinate bond

A dative bond

A covalent bond

Palmitic acid & steanic acid ae obtained from process of fats & oils:

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Reduction

Neutralization

oxidation

hydrolysis

Quantum number values for 2p orbitals are

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n = 2, l = 1

n = 1, l = 2

n = 1, l = 0

n = 2, l = 0

Which of the element is not an alkaline earth metal

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Beryllium

Strontium

Barium

Caesium

The chloride of element Q is hydrolysed by water to form an acidic solution and its oxide reacts with acid to form a salt.

What cold be the element Q

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Magnesium

Aluminium

Silicon

Phosphorus

Corrosion reaction are

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Spontaneous redox reaction

Non-spontaneous acid-base reactions

Spontaneous acid-base reactions

None of these

SnCI₂have ______ shape

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Planner

Tetrahedral

Angular

None

The term aromatic was derives from

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Greek word

Latin

Russian

English

Identify the heterocyclic compound

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Toluene

Pyridine

Butanoic acid

Propenol

Analytical chemistry is the science of :

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Chemical Characterization.

Physical Characterization.

Biological Characterization.

Biochemical Characterization.

How many zones through which the charge passes in a rotary kiln

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4

3

2

5

The proteins which are derived by conjugated proteins are called as

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Simple protein

Complex protein

Derived protein

None

Ascorbic acid is a chemical name of

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Vitamin D

Vitamin A

Vitamin C

Vitamin B₆

Which of the following statement is not related to Solvay's process of Na₂CO₃

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Cheap materials

Pure product

Continuous process

Harmful by-products

The empirical formula of a compound is CH₂O. What may be the compound

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C₂H₅OH

C₆H₅OH

HCOOH

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

______ reacts with alkalis to give hydrogen

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Be

Mg

Ca

None

The number of bonds in nitrogen molecule is

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Oneφ and one π

Oneφ and two π

three sigma only

Two φ and one π

Partial reduction of acetic acid happens with

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NH₃

LiAIH₄

P + HI

PCI₅

Which of the following statements is true about Galvanic cell

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Anode is negatively charged

Reduction occurs at anode

Cathode is positively charge

Reduction occurs at cathode

Polyester resins have special use in:

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Clothing

Paints

Emulsion

Floor covering

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 energy required to break one mole of bonds to form neutral atoms is called

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Bond length

Bond strength

Bond energy

None of these

Ethyl chloride on treatment with aqueous alkali gives

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Ethane

Ethene

Ethanal

Ethanol

Which of the following undergoes uncleophilic substitution exclusively by S_N1 mechanism?

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Benzyl chloride

Ethyl chloride

Chlorobenzene

Isopropyl choride

Alkyl halides react with lithium dialkyl copper reagents to give

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Alkenes

Alkyl copper halides

Alkanes

Alkenyl halides

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Moles^-2dm⁺⁶

No units

Mole dm^-3

Mole^-1dm^-3

Hydrocarbons are divided into aliphatic, alicyclic and aromatic which structure among the following show an alicyclic hydrocarbon

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Electrophilic substitution

Free radical reduction

Isomerisation

Nucleophilic substitution

(A) is one molar NaCl solution and (b) is 1 molal NaCl solutin :

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A and B are of same strength.

A is more Concentrate than B.

b is more Concentrate than A.

None of above.

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Adding 2(ii) + 3(iii) and subtracting i

Add i + ii + iii

Add i - ii + iii

Add i - ii - iii

Which is independent of temperature

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Molarity

Molality

Normality

Mole fraction

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2, 3-dimethylbutane

2, 3-methylbutane

2-dimethylbutane

Dimethylbutane

A large value of K_cmeans that at equilibrium :

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Less reactant and more products.

Reactants and product in same amounts.

More reactants and less products.

None of above.

The net heat change in chemical reaction is same whether it is brought in two or more different ways in one or several steps. it is known as

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Henry's law

Joule's principle

Hess's law

Law of conservation of energy

What is the nature of Al₂O₃

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Acidic

Basic

Amphoteric

Neutral

Which salt is used for the treatment of hyperacidity in stomach

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NaCl

KCl

NaHCO₃

Na₂CO₃

Tetraethyle lead causes disease:

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Typhoid

Respiratory

Stomach

Muscular

which enzyme is not involved in the fermentation of starch ?

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Diastase

Zymase

Urease

Invertase

Acetic acids react with PCI5 giving:

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Acetamide

Acetyl chloride

Alcohol

Ether

Electronegativity values of the elements F, CI and Br vary

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F > CI > Br

Br > CI > F

Cl > Br > F

CI > F > Br

The alkyl halide is converted into an alcohol by

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Addition

Substitution

Dehydrohalogenation

Elimination

Compounds having the same molecular formula, but different functional groups show

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Metamerism

Position isomerism

Chain isomerism

Functional group isomerism

In the electrolysis of fused bauxite (Al₂O₃2H₂O) with fused Cryolite (Na₃AlF₆) using carbon rods as anode. The product obtained at cathode is

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Na metal

F₂gas

Al metal

O₂gas

Wohler succeeded in obtaining, urea from

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Cyanogen

Ammonium cyanate

Ammonium hydroxide

None of these

Which is a component of macronutrient?

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Zn

N

Mo

Cl

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

Which colour is imparted by sodium

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Yellow

Violet

Red

Crimson

Hybridization in alkanes is:

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sp

sp²

sp³

dsp²

Rosenmund's reduction of an acyl chloride gives

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An aldehydes

An alcohol

An ester

A hydrocarbon

Sulphonation of benzoic acid produces mainly

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o-Sulphobenzoic acid

m-sulohobenzoic acid

p-Sulphobenzoic acid

o-and p-Sulphobenzoic acid

Each vertical column of the periodic table includes elements with chemical characteristics that are in general

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Identical

Similar

Different

Similar as well as different

Lead accumulator stops discharging current when

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Lead at anode converted to PbO₂

PbO₂at cathode converted to Pb

Both electrodes are completely covered with PbSO₄

Both electrodes are completely covered with Pb(OH)₂

Which of the following is a constituent of nylon?

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Adipic acid

Styrene

Teflon

None of these

Which one of these is weakest?

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Ionest bond

Covalent bond

Metallic bond

Van der Waal's forces

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

If the rate of decay of radioactive isotope decreases from 200 cpm to 25 cpm after 24 hours, what is its half life :

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8 hours

6 hours

4 hours

3 hours

When CO₂is made to react with ethyl megnesium iodine, followed by hydrolysis, the product formed is:

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Propane

Propanoic acid

Propanal

Propanol

Steel may be manufacture by two processes which two are correct

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Open hearth process and besemer process

Open hearth process and Haber process

Bassemer process and Haber process

Contact process and Haber process

Acetamide and NaOBr/OH^-produce

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Ethanamine

Methanamide

CH₃CN

NH₃

In the presence of copper electrodes the electrolysis of aqueous CuSO₄produces at cathode

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H₂gas

O₂gas

SO₂gas

Cu metal

Hydrolysis of sucrose is called

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Inhibition

Saponification

Inversion

Hydration

With the reference of w/m ratio of anode rays, the e/m ratio of cathode rays s:

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Greater.

same.

Smaller.

Not fixed.

Which is the transition element among the following

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B

Al

Cu

Cs

The decrease in radius in large for:

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Monovalent ions.

Trivalent ions.

Divalent ions.

Atoms.

Plaster of pares is obtained by heating

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Gypsum

Epsom

Lime stone

Dolomite

Which of the following isoelectronic ions has the lowest ionization energy?

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K⁺

Ca²⁺

Cl^-

S^2-

Which of the following may affect the rate constant (k) fro a reaction :

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Change in concentration.

Change in pressure.

Change in pH.

Change in temperature.

Sodium is manufacture by the electrolysis of fused sodium chloride and not from an aqueous solution of sodium chloride because

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Sodium chloride does not ionize in the water solution

Sodium chloride is not soluble in water

Sodium deposited at the cathode may react with water to form sodium hydroxide

Electricity does not pass through aqueous NaCl

Variable valency is generally exhibited by

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Normal elements

Transition elements

Metallic elements

None of these

What is the molarity of the solution that contains 20 grams of NaOH in 500 ml of solution [Na = 23, O = 16, H = 1]

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0.25

0.5

1

20

Among the alkaline earth metals the element forming predominantly covalent compounds is

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Be

Mg

Sr

calcium

Treatment of a secondary alcohol with a suitable oxidizing agent (K₂Cr₂O₇) results in the formation of

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Ketone

Aidehyde

Ether

Alkyl halide

Which if the following has the highest freezing point at one atmosphere

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0.1 M NaCI

0.1 M sugar solution

0.1 M BaCI₂

0.1 M FeCI₂solution

n + l value for 4f will

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2

5

7

9

He Ar and Ne are:

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Mono-atomic molecules

Hetero atomic molecules

Poly-atomic molecules

Diatomic molecules

How many cm³of 1 M H₂SO₄required to neutralize 10 cm³of 1 M NaOH

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2 cm³

2.5 cm³

5 cm³

10 cm³

During dehydration of alcohols to alkenes by heating with conc. H₂SO₄, the initial step is

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Formation of an ester

Protonation of alcohol molecule

Formation of carbocation

Elimination of water

Which of the following reagent will react with both aldehyde and ketones?

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Grinard's reagent

Tollen's reagent

Fehling's reagent

Benedict's reagent

Phenol gives ---------- Colour with neutral FeCl₃solution

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Violet

Green

Red

Blue

Choose an answer

0 dm³

3 dm³

2 dm³

3 dm³

The electron in an atom

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moves randomly around the nucleus

has fixed space around the nucleus

is stationary in various energy levels

moves around its nucleus in definite energy levels

The heat of formation of graphite and P(white) is ______ KJ/mole

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0.00

-273.0

+8.7

813.99

The final product formed by distilling ethyl alcohol with excess of Cl₂and Ca(OH)₂is

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CH₃CHO

CCl₃CHO

CHCl₃

(CH₃)₂O

Which of the following will have the highest boiling point at 1 atm pressure?

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0.1 M NaCl

0.1 M Sucrose

0.1 M BaCl₂

0.1 M Glucose

Acetamides are formed by the reaction of carboxylic acids with

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Acids

Bases

Salts

NH₃

Which has highest 1st I.E.

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Br

Cl

F

l

Pollution is

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Removal of top soill

Release of toxic/undesirable materials in enevironment

Conversation of energy

All the above

A half reaction can be defines as :

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It always occurs at cathode.

Involves only half of a mole of electrolyte.

Occurs at one of the electrode.

Goes only half way to completion.

In the electrolysis of aqueous solution of sodium nitrate, the ions which are reduced at the cathode are

Choose an answer

H₃O⁺

Na⁺

OH^-

NO^3-

What are alloys

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A homogenous mixture of two or more elements

A homohenous mixture of metal and a non-metal

A homogenous mixture of two or more metals

None of the above

Which the increase in carbon number of solubility of an alcohol

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Increases

Decreases

Remains unaffected

None of these

The lanthanides contraction is responsible for the fact that

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Zr and Y have about the same radius

Zr and Nb have similar oxidsation state

Zr and Hf have about the same radius

Zr and Zn have the same oxidation satete

Which of the following posses linear geometry

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Alkane

Alkene

Alkyne

Benzene

Which is not a calcarious material?

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Lime

Clay

Marble

Marine shell

Choose an answer

Plank's equations

de Broglie's equations

Heisenburg's equation

None

NaBH₄and LialH₄are

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Ionic hydrides

Covalent hydrides

Interposal hydrides

Complex hydrides

The term cryoscopy is used for

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Depression of freezing point

Elevation in boiling poing

Lowering of vapour pressure

Osmotic pressure

Quality of fuel is judged from its octane number. The best fuels are

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Straight chain hydrocarbons

Branched chain hydrocarbons

Cyclic compounds

Compounds containing benzene ring

Which one is not a pollutant normally?

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Hydrocarbons

Carbon dioxide

Carbon monoxide

Sulphur dioxide