Question # 1

The decimal fraction in which we have finite number of digits in its decimal part is called.

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recurring decimal fraction

Non terminating faction

Non recurring fraction

terminating decimal fraction

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0

1

undefined

The sum of infinite numbers of terms of an arithmetic series is

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Finite

Infinite

May or may not finite

None of these

Every prime number is also

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Rational number

Even number

Irrational number

Multiple of two numbers

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0

1

Sin 50°-sin 70°+sin 10° is equal to

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1

0

1/2

2

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0

1

Ifθ= 60° then

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sinθ= 1/2

tanθ= cot 30°

θ=π/4

secθ= 4

√2 is a number

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Rational

Irrational

Even

Odd

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none of these

The period of the function csc x/4 us

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4x

π/4

8π

π/8

One second is denoted by

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1⁰

1'

1"

1 rad

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4A - 3I

3A - 4I

A - I

None of these

The latus rectum of the ellipse 5x²+ 9y²= 45 is

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10 / 3

5 / 3

3 / 5

3 / 10

A line segment whose end points lie on a circle is called

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the secant of the circle

the arc of the circle

the chord of the circle

the circumference of the circle

If n is any positive integer ,t hen 2+4+6+......+2 n=

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2ⁿ-1

2ⁿ+1

n²+1

n(n+1)

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1

2

3

None of these

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16 / 7

6 / 17

7 / 16

None of these

1/3 is a decimal

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Recurring

Terminating

Non-terminating

None of the above

The line y = 4x + c touches the hyperbola x²- y²= 1 if

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A rational number

A natural number

An irrational number

An integer

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0

1

2

4

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The value of x for which the polynomials x2 - 1 and x2 -2x + 1 vanish simultaneously is

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2

1

-1

-2

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The law of of sines

The law of tangents

The law of consines

None of these

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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If 4 ⁶P_r= ⁶P_r+1, then r is equal to

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4

3

2

1

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Union of the sets of rational and irrational numbers is called 6th set of

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Natural numbers

Real numbers

Whole numbers

Prime numbers

The magnitude of a vector can never be

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Zero

Negative

Positive

None of these

The eccentricity of parabola is:

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1

0

Greater than 1

Less than 1

The law of consines is

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If D = {a} , the P(D) =

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{a}

∅

{∅,{a}}

{∅,a}

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Zero is

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An irrational number

A rational number

A negative integer

A positive number

Such fraction which can not be written in the form ofp⁄q where p,q and q≠ 0,such fractions are called.

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Fractinal numbers

Rational Numbers

Even Numbers

Whole Numbers

Total number of subsets that can be formed out of the set {a,b,c} is

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1

4

8

12

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none of these

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[0, 0, 0]

[1, 0, 0]

[0, 1, 0]

[0, 0, 1]

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A finite set

An infinite set

An empty set

None of these

A set having only one element is called

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An empty set

Universal set

A singleton set

A power set

If a,β are the roots of ax2+bx+c=0,the equation whose roots are doubled is

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ay2 +2by+c=0

ay2+2by+4c=0

ay2+2by+c=0

ay2+by+4c=0

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120

5

4

6

p(x) = 2x⁴- 3x³+ 2x - 1 is polynomial of degree

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1

2

3

4

Two cards are drawn at random without replacement. the probability that the first is a king and second is not a king is

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48 / 663

24 / 663

12 / 663

None of these

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A

B

U

None of these

For f(x) = x2, what is the value of f(a) +f (-a) in terms of a?

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3a2

2a2

2a

-7a

For graphing a linear inequality, solid line is drawn if the inequality involves the symbols:

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> or <

= or≠

= or >

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perpendicular vectors

parallel vectors

concurrent vectors

none of these

In R the number of identity element w.r.t '+' is

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One

Two

Three

Four

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 minimum value of the quadratic function f(x) = 5 x 2-11,is

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7

-7

6

-11

The two different parts of the hyperbola are called its

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Vertices

Directrices

Nappes

Branches

n! > 2ⁿ-1 is true when

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n≤ 3

n≤ 6

n≥ 4

n≤ 6

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direction ratios

direction cosines

direction angles

none of these

∀x,y∈R and x> 0 , y>0, if x > y

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None of these

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A = x, B = 1

A = 0, B = 2

A = -1, B = 1

A = x-1, B = x + 1

Through how many radians does the minute hand of a clock turn in one hour

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Hermitian matrix

Skew-hermitian matrix

Symmetric matrix

Identity matrix

How many necklaces can be made from 6 beads of different colours?

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120

60

24

15

a ______quantity is one that possesses both magnitude and direction.

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Scalar

Vector

Segment

None of these

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0

1

2

None of these

A,G,H are in

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A.P

G.P

H.P

None of these

An infinite sequence has no

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nth term

Last term

Sum

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

If x, y, z are the pth, qth, rth terms of an A.P. and also of G.P., then x^y-z. y^z-x. z^x-yeqals

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xyz

0

1

None of these

If C is the mid point of AB and P is any point outside AB, then

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The conic is a parabola if

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e < 1

e > 1

e = 1

None of these

In a class of 100 students, 60 drink tea, 50 drink coffee and 30 drink both. A student from his class is selected at takes at last one of 2 drinks is

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2 / 5

3 / 5

4 / 5

None of these

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none of these

A vector of magnitude zero is called

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Position vector

Null vector

Free vector

None of these

A - B = ______

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Roots of the equation x²- x = 2 are

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{2, -1}

{1, 0}

{2, 1}

{-2, 1}

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1

2

-1

0

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30°

60°

45°

None of these

The ellipse and hyperbola are called

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Concentric conics

Central conics

Both a b

None

The unit vector along y-axis is

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none of these

The number of words that can be formed out of the letters of the word ASSASSINATION is

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Which of the following is the subset of all sets?

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The radian measure of the central angle of an arc 50 m long on a circle of radius 25 m is

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3

2

1

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a-b=ab

ab=a

a+b=ab

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The transpose of a zero matrix is a ______

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Column matrix

Zero matrix

Row matrix

Scalar matrix

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3 sec²x

3 sec²3x

sec²3x

sec²x

w¹⁵= ______

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0

1

w

w²

I f the focus is F ( 0,-a) and directrix is the line v=a, then equation of the parabola is:

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x² = 4ay

y² = 4ax

y² = -4ax

x² = 4ax

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none of these

If x²- 7x + a has remainder 1 when divided by x + 1, then a = ______

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-7

7

0

None of these

The number of different ways of describing a set is

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One

Two

Three

Four

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3, -3, 11

3, 3, 11

-3, 3, -11

-3, -3, 11

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

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{3, -4}

{-3, 4}

{3, 4}

{-3, -4}

The colour of a transition metal complex is due to d-d transition The colour of the complex is the complementary of the colour absorbed. Thus [Ti(H₂O₆]³⁺abosrbs yellow light and transmits blue and red colours therefore the solution of titanium complex appears

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Blue

Red

Yellow

Mixture of blue and red or violet

Surface and ground water sources are contaminated by various human activities. Which of the followings is not a human activity that causes contamination in fresh water

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Live stock waste

Oil leaks and spills

Disposal of industrial effluents

Rain

The amount of Ni in stainless steel is

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3%

4%

5%

8%

Products of coal is:

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Peat

Lignite

Bituminous coal

All above

Which is non typical transition element :

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Ni

Co

Y

Fe

Which compound shows hydrogen bonding

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C₂H₆

C₂H₅CI

CH₃-O-CH₃

C₂H₅OH

In which of the following theories the hybridizationis considered

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Vsepr

Lewis

Molecule orbital

Valence bond

Reduction of alkyl halides give

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Alkanes

Alkenes

Ketones

Ether

A current of 9.65 ampere flowing for 10 minutes deposits 3.0 g of the metal which is monovalent. The atomic mass of the metal is

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10

50

30

96.5

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

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H₃O⁺

Na⁺

OH^-

NO^3-

Formic acid is given names from Latin word a "formic" which means:

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Red out

Vinegar

butter

Milk

Alcohol can be prepared from Grignard's reagent with an aldehyde: If we start with formaldehyde the product alcohol with be

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Primary

Secondary

Territory

Aromatic

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

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154 pm

133 pm

120 pm

150 pm

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

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Physical activity

Chemical reactivity

Density

None

The next homologue of C₁₀H₂₂will be

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C₉H₂₀

C₁₂H₂₆

C₁₁H₂₄

C₁₃H₂₈

Most reactive halide towards S_N1 reaction is

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n-Butyl chloride

sec-Butyl chloride

tert-Butyl choride

Allyl chloride

Monosaccharides and oligosacchradies are generally called as

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Crystals

Sugars

Liquids

Non-sugars

Electronegativity order of alkyl halides is:

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Rl > RBr > RCl > RF

Rbr > RCl > RF >Rl

RCl > RF >Rl > RBr

RF >Ri > RBr >RII

A fibre which is made from acrylonitrile as monomer

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PVC

Rayon fibre

Acrylic fibre

Polyester fibre

Vital force theory was rejected by

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Berzellius

Kolbe

Wholer

Lavoiser

Grignard's reagent was prepared in:

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1900

1910

1920

1930

Ozone is not

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An allotrope

A powerful oxidizing agent

Paramagnetic

A bent molecule

Which of the following is an inert gas?

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H₂

O₂

N₂

Argon

For which system does the equilibrium constant. K_chas units of

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Rates of organic reactions are

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Fast

Very fast

Slow

Non-reactive

Which of the following organic compounds exhibits positive Fehling test as well as iodoform test?

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Methanal

Ethanol

Propanone

Ethanal

The reaction-method that does not give an alkane is

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Catalytic hydrogenation of alkanes

Wurtz reaction

Hydrolysis of alkyl magnesium bromide

Dehydrohalogenation of an alkyl halide

Alkaline earth metals posses two electrons in their outermost

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F-orbital

D-orbital

S-orbital

P-orbital

Phosphate pollution is caused by

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Weathering of phosphate rocks only

Agricultural fertilizers

Phosphate rocks and sewage

Sewage and agricultural fertilizers

During redox reaction an oxidizing agent

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Gains electrons

Is oxidized

Loses electrons

Hydrolysed

What is the maximum mass of aluminium which can be obtained from 240g of aluminium oxide Al₂O₃?

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26 g

127 g

51 g

108 g

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⁺

pH and pKa of the buffer are related by Henderson equation which is

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Two moles of HI was heated in a sealed tube at 440°C till the equilibrium was reached. HI was found to be 22% decomposed. The equilibrium constant for dissociation is

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0.282

0.0796

0.0199

1.99

Acetic acid is also named.

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Methanoic acid

Ethanoic acid

Propanic acid

Butanoic acid

Which of the following synthetic fertilizer do not make soil acidic

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Urea

Thin urea

Ammonium phosphate

Potassium nitrate

Kolb's method of alkanes production, is actually

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Hydrolysis

Catalysis

Electrolysis

Hydrogenation

Which one of the following reaction takes place spontaneously

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Which of the statements given below concerning properties of solution, describe a colligative effect?

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Boiling point of pure water decreases by the addition of ethanol

Vapour pressure of pure water decreases by the addition of nitric acid

Vapour pressure of pure benzene decreases by the addition of naphthalene

Boiling point of pure benzene increases by the addition of toluene

Which of the following statement is incorrect about SHE(Standard hydrogen electrode):

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Reduction potential of Cu⁺² is smaller than H⁺ions whenit is coupled with copper electrode.

gas is passed in it at 1 atm pressure.

Its oxidation potential and reduction potential is zero.

It is made of platinum wire dipped in HCl solution

The specific conductance of 0.1 M NaCl solution is 1.06 x 10^-2ohm^-1mol^-1. Its molar conductance in ohm^-1cm²mol^-1is

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1.06 x 10²

1.06 x 10³

1.06 x 10⁴

53

In the modern long form of the periodic table elements are arranged in the increasing order of

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Atomic mass

Atomic number

Mass number

Isotopic number

Which of the following reactions occur at moderate rate :

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Rusting of iron

Chemical weathering of stone work of buildings by acidic gases in atmosphere.

Hydrolysis of an ester

Fermentation of sugars

Which is symmetric alkene?

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CH=C-CH₂

CH≡CH

CH₃-C≡C - CH₃

B and C

Which one of the following is not air pollutant gas

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CO

CO₂

NO

SO₂

The alkyl halide is converted into an alcohol by

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Addition

Substitution

Dehydrohalogenation

Elimination

A colloidal gel is:

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3Ca, Al₂O₃

CaSO_2.2H₂O

3CaAl₂O₃.3CaSO₄.2H₂O

3Ca.Al₂O₃.6H₂O

When electron jumps from n₂= 2,3,4,5,.... orbit to n₁= 1 orbit in the hydrogen atom, the radiations emitted give the spectral lines

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Lyman series

Blamer series

Paschen series

Brackett series

Glucose in the presence of zymase is converted into

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Alcohol

Acid

Ethyl alcohol

Ketone

Acidic hydrolysis of acetamide gives

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Acetaldehyde

Acetic acid

Methyl amine

Formic acid

Ethanal may be converted into a three-carbon acid in a two-step process.

Which compound is the intermediate

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CH₃CO₂H

CH₃CN

CH₃CH₂CN

CH₃CH(OH)CN

Catenation is a process in which carbon shows the properties of making

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Multiple bonds

Hybridization

Long chains or rings of carbon atom

Showing isomerism

Which one of the following is (m-xylene)

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1,2 dimethyl benzene

1,3 dimethyl benzene

1,5 dimethyl benzene

1,4 dimethyl benzene

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

Carbon monoxide is harmful to human beings as it

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Is carcinogenic

Is antagonistic to CO₂

Has higher affinity for hemoglobin as compared to oxygen

Is destructive to O₃

Aldehydes are reduced to :

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Pri-alcohol

Sec-alcohol

Ter-alcohol

All of these

Solubility of KMnO₄at higher temperature is:

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5%

7%

15%

25%

Those compound which have any atom other than C as member of rings are called as

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Monocyclic

Hetrocyclic

Aliphatic

Both a and b

Which one of the following substances is used to decolourizing agent

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Abestos

Animal charcoal

conc. H2SO4

Silica gel

Which of the following is a steroid

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Vitamin A

Vitamin B

Vitamin C

Vitamin D

The unit of rate constant k is the same as that of the rate of reaction in

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First order reaction

Second order reaction

Third order reaction

Zero order reaction

Baukelite is a polymer obtained from two monomers

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Phenol and ethanol

Phenol and methanol

Phenol and methanal

Phenol and acetone

The volume of 0.1 M H₂SO₄required to neutralize completely 40 ml of 0.2 M NaOH solution is

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10 ml

40 ml

20 ml

50 ml

Marble is chemically

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CaCl₂

CaCO₃

Na₂CO₃

NaHCO₃

In a heterollytic bond fission reaction

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A molecule of H₂O is formed

A molecule of H₂O is eliminated

A free radical is formed

A positive and a negative ion is formed

Which of the following substances is used as an antiknock compound?

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Tetraethyl lead

Lead tetrachloride

Lead acetate

Ethyle acetate

Metals like Fe, Mg, Al, Cr, Zn have more negative reduction potentials that is whey

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These don't react with steam

These react very slowly with steam to liberate H₂gas

These react rapidly with steam to produce the metallic oxides and liberate H₂gas

These react with cold water violently

5g of glucose is dissolved fro 100 cm of solution. Percentage of solution is :

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5 % v/w

5 % w/v

5 % w/w

Diethyl ether is obtained by Williamsons synthesis using

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Ethanol + Na + C₂H₅Br

Ethanol + Mg + C₂H₅Br

Methanol + Na + CH₃Br

Methanol + Mg + CH₃Br

Carboxylic acids generally exists in cyclic

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Monomers

Dimers

Trimers

Tetrameter

An organic compound, on treatment with Br2 in CC14 gives bromoderivative of an alkene. The compound will be

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CH3 - CH = Ch2

CH3CH = CHCH3

HC = CH

H2C = CH2

The energy of ionization of an atom is the energy difference between orbital

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I-Chloropropane has two isomers, it is an example of

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Chain isomerism

Position isomerism

Functional group isomerism

Metamerism

Which one is a polymer compound?

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SO₂

CO₂

CH₄

PVC

Equal volumes of ethylene glycol (molar mass = 62) and water (molar mass = 18) are mixed. The depression in freezing point of water is (given K_rof water = 1.86 K mol^-1kg and specific gravity of ethylene glycol is 1.11)

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0.003

3.33

0.333

33.3

The substance upon which an enzyme acts is known as its

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Domain

Field

Substrate

Reactant

Organic compounds containing halogen atom are called:

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R---OH

R----X

R----NH₂

R----COH

No cathode rays are produced in the discharged tube when gas is under ordinary pressure even if voltage of 5000 to 10000 is applies. This reason is

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Voltage is low

Discharge tube is not coloured

Gas does not conduct current under ordinary pressure

Temperature low

The molecule of ethane possess which hybrization

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sp³

sp²

sp

sp²d

A solution consisting of 92 grams ethyl alcohol (C₂H₅OH) 96 grams methyl alcohol (CH₃OH) 90 grams water the mole fraction and mole percent of methyl alcohol is

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0.3. 30%

0.2, 30%

0.5, 30%

0.2, 20%

The valence shell electronic structure of an element is ns²np⁵. The element will along to the group of

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Alkali metals

Inert metals

Noble gases

Halogen

Which of the following fluorides does not exists?

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NF₅

PF₅

AsF₅

SbF₅

Synthesis rubber is made by polymerization :

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Chloroform

Acetylene

Divinyl acetylene

Butene

What is the total number of different chloroethanes of formula C₂H_6-nCl_npossible (n may be 1 to 6)

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6

8

9

10

Choose an answer

Complete conversion of A to B has taken place

Conversion of A to B is only 50% complete

Only 10% conversion of A to B has taken place

The rate of transformation of A to B is just equal to rate of transformation of B to A in the system

Out of Cu, Ag, Fe and Zn the metal which can displace all others from theri salt solution is

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Ag

Cu

Zn

Fe

Both E₁and E₂mechanism can be shown by

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1° - RX

2° - RX

3° - RX

None of these

The third line of the Balmer series, in the emission spectrum of the hydrogen atom,is due to the transition from the

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Fourth Bohr orbit to the first Bohr orbit

Fifth Bohr orbit to the second Bohr orbit

Sixth Bohr orbit to the third Bohr orbit

Seventh Bohr orbit to the third Bohr orbit

The energy absorbed when an electron is added to a gaseous atom to form a gaseous ion is called

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Electron affinity

Ionization energy

Both of these

None of these

The unit rate of constan K ismole^-1 dm³S^-1for a chemical reaction, the order of reaction is :

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3

2

1

0

Any other aldehyde except formaldehyde on reaction with Grignard's will produce

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Secondary alcohol

Primary alcohol

Tertiary alcohol

Aromatic alcohol

Consider the ground state of Cr atom (Z=24). The numbers of electrons with the azimuthal quantum numbers l = 1 and l = 2 are respectively

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12 and 4

16 and 5

16 and 4

12 and 5

Elimination bimolecular reactions usually obey

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First order kinetics

Second order kinetics

Third order kinetics

Zero order kinetics

Aldehydes which do not haveα-hydrogen undergo

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Aldol combination

Cannizzaro's reaction

Substitution

Elimination

Electron affinity depends on

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Atomic size

Nuclear charge

Atomic number

Atomic size and nuclear charge both

Which of the following pair of atomic numbers represents s-block elements?

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7, 15

6, 12

9, 17

3, 20

Which of the following metal exhibits more than one oxidation?

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Na

Mg

Fe

Al

Which of the following is responsible for depletion of the ozone layer in the upper strata of the atmosphere?

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Fullerences

Freons

Polyhalogens

Ferrocene

Grignad reagent is reactive due to

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The presence of halogen atom

The presence of Mg atom

The polarity of C - Mg bond

None of above

In the reaction K₂Cr₂O₇+ HCl + CrCl₃+ Cl₂+ H₂O the element which is reduced is

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K

Cl

Cr

H