Question # 1

Domain of 3 sin x is ______

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[-3, 3]

R

Positive real numbers

None of these

For all points (x,y) in second quadrant

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x > 0 , y < 0

x > 0 , y > 0

x < 0 , y < 0

x < 0 , y > 0

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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

The point which is closet to the focus of a parabola is:

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vertex

Chord

Focus

Directix

Name the property used in a (b-c) = ab - ac

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commutative property of multiplication

distributive property of multiplication

associative property of multiplication

multiplicative inverse

For the equation |x²| + |x| -6 =0, the roots are

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One and only one real number

Real with sum one

Real with sum zero

Real with product zero

The set of the first elements of the ordered pairs forming a relation is called its

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Function on B

Range

Domain

A into B

150°= ______

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5

25

3

The physical quantity which possesses both magnitude and direction is called a

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scalar

vector

constant

none of these

cos⁴θ- sin⁴θ=

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cos4θ

cos2θ

-sinθ

sin2θ

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2 and 9

3 and 2

2/3 and 9

3/2 and 6

What is the conjugate of -6 -i?

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-6 +i

6+i

-6 -i

6 -i

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The law of sines

The law of consines

The law of tangents

None of these

[i,j,k]

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0

2

1

-2

If a cone is cut by a plane perpendicular to the axis of the cone, then the section is a

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Parabola

Circle

Hyperbola

Ellipse

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-1

0

1

None of these

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Optimize means ______ a quantity under certain constraints

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Minimize

Maximize

Maximize or minimize

None of these

graph of trigonometric function y = sec x does not meet

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x - axis

y -axis

both axis

None of these

Ifα,βare the roots of ax²+ bx + c = 0 andα+ h,β+ h are the roots of px²+ qx + r=0, then h =

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The distance of the plane 2x - 3y + 6z + 14 = 0 from the origin is

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14

2

-2

11

In order of A is m x n and order of B is n x p then order of AB is

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m x m

n x n

m x p

p x m

Group of none-singular matrices under multiplication is

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None-Abelian group

Semi group

Abelian group

None of these

Range of 3 sin x is ______

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[ -3, 3]

[-1, 1]

R

None of these

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

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A.M

nth term

Central term

None of these

The equation of the circle with centre (5, -2) and radius 4 is

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(x-5)²+ (y+2)²= 16

(x-5)²+ (y+2)²= 4

(x-5)²+ (y-2)²= 16

(x-5)²+ (y-2)²= 4

The roots of the equation x2 +6x-7=0,are

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1

2

1 and -7

-7

The maximum value of sin x + cos x is

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A triangle which is not right angle is called ______ triangle

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acute

Obtuse

Right

Oblique

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-2x³

2x^-3

-2x^-3

2x³

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a sec(ax + b) + c

- a sec(ax + b) + c

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A finite non-empty set

Null set

Both a and b

None of these

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l²+ m²+ n²= 0

l²- m²+ n²= 1

l²+ m²+ n²= 1

l²+ m²- n²= 0

If P, Q, R be the A.M., G.M., H.M. respectively between any two rational numbers a and b, then P - Q is

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A box containing 10 mangoes out of which 4 are rotter. Two mangoes are taken together from the box. If one of them is found to be good, the probability that the other is also good is

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1 / 3

8 / 15

5 / 13

5 / 9

The number of non zero rows in echelon form of a matrix is called

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Order of matrix

Rank of matrix

Row operation

None of these

Sin^-1(-x)=

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Cos^-11/x

- Sin^-1X

Cot^-1X

None of these

The distance between the points A(3,1) and B(-2,-4) is

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5

25

10

Let the equation ax²- bx + c = 0 have distinct real roots both lying in the open interval (0, 1) where a, b, c are given to be positive integers. Then the value of the ordered triplet (a, b, c) can be

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(5, 3, 1)

(4, 3, 2)

(5, 5, 1)

(6, 4, 1)

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f (x) = | x | is a/an

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Injective function

Bijective function

Surjective function

Implicit function

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In f(x) + c

f(x) - c

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2x + 2y

4 - x²

-x/y

x/y

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3 sec²x

3 sec²3x

sec²3x

sec²x

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none of these

Associative law of multiplication

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ab - ba

a(bc) = (ab) c

a(b + c) = ab +ac

(a +b)c = ac + bc

A function from X to Y is written as

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f : X to Y

f : Y to Y

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are real no

both are not real

are imaginary no

both are imaginary

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cos x + c

-sin x + c

-cos x + c

sin x + c

How many 6-Digit number can be formed without repairing any digit from the digits 0,1,2,3,4,5

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720

600

120

6-5!

3/4 is ______

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An odd number

An even number

A natural number

A rational number

One minute is denoted by

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1⁰

1'

1"

None of these

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-1

1

2

-2

Choose an answer

A person standing on the bank of a river observes that the angle subtended by a tree of the opposite bank is 60°, when he retreats 40 m from the bank, he finds the angle to be 30°. The height of the tree and the breadth of the river are

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Water seeps out of a conical filter at eh constant rate of 5 cm/sec. the height of the cone of water in the filter is 15 cm. the height of the filter is 20 cm and radius of the base is 10 cm. the rate at which the height of the water decreases is

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If for the matrix A, A⁵= I, then A^-1=

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A²

A³

A

None of above

A circle drawn inside a triangle and touching its sides is called ______;

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Circumcirle

Incircle

Escribed circle

unit circle

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If x,y are two positive distinct numbers then

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A>G>H

A<G<H

A=G=H

None of these

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Which of the following us a scalar

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displacement

velocity

acceleration

density

If a cone is cut by a plane perpendicular to the axis of the cone, then the section is a

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parabola

circle

hyperbola

ellipse

The 60th part of one minute is called

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Degree

Second

Radiam

None of these

for n€ N, 3^{2n + 7 is divisible by}

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7

8

9

10

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If the vertex of the parabola is the origin and directrix is x+5 = 0 . then its latus rectum is:

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10

5

0

20

What is the probability of being born on Wednesday?

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1/7

1/2

1/3

1/8

Choose an answer

The law of consines

The law of sines

The law of tangents

None of these

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Singleton set

A set with two points

Empty set

None of these

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I

14 I

0

None of these

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

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In circle

Circum circle

Escribed circle

None of these

∫x sin xdx is equal to:

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sin x/x + cos x

sin x - cos x/x

x cos x + sin x

- x cos x + sin x

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None of these

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none of these

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sin(180° -θ)=

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cosθ

-cosθ

Tanθ

Sinθ

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(2x+a+b+c)

(a+b+c)

(a+b+c+x)

0

graph of sine function is bounded between lines

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y± 1 = 0

x± 1 = 0

x± y - 0

None of these

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

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2x + y > 8

2x + y < 6

2x - y > 1

2x + 3y < 2

If x,y are two -ve distinct numbers then

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A>G>H

A<G<H

A=G=H

None of these

Period of sin 3x is ______

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The roots of ax2 + bx + c = 0 are always unequal if

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b2 - 4ac = 0

b2- 4ac ≠ 0

b2- 4ac > 0

b2- 4ac ≥ 0

Archimedes approximate the function by horizontal function and the area under f by the sum of small

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Parallelograms

Squares

Retangles

Polygons

If n is any positive integer then n²> n + 3 for

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The end points of the major axis of the ellipse are called its

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Foci

Vertices

Co - vertices

None of these

A Geometric Series is divergent only if

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|r|>1

|r|≥1

|r|=1

None of these

The exterior angle of the interior angle C of he quadrilateral whose vertices are A(5,2),B(-2,3),C(-3,-4),D(4,-5) is

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30°

60°

45°

90°

For f(x) = x² + px +1, if f(3) = 3 then P =

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3/7

-2/5

-7/5

-7/3

Choose an answer

I andII quadrants

II andIII quadrants

III andIVquadrants

none of these

If the points (a,2b):(c,a+b):(2c-a,h) lie on the same line then

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h=2a

h=a+b

h=ab

h=ac

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A.P.

G.P.

H.P.

None of these

the largest degree of the terms in the polynomials is called

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terms of the polynomial

degree of a polynomial

co-efficient

monomial

If 4 - x >5, then

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x > 1

x > -1

x < 1

x < -1

Iodoform test is given by:

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Formaldehyde and Higher ketones

Formaldehyde

Acetaldehyde and methyl ketones

Acetaldehyde

Ca, Mg, Be, Ba, belong to the same group, the order of their ionization energy values is

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Be > Mg> Ca > Ba

Ba > Ca > Mg > Be

Ca > Mg > Be > Ba

Ba > Mg > Ca > Be

Benzene is an example of

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Aromatic compound

Cyclic compound

Aliphatic compound

A cyclic compound

The branch of chemistry which deals with thermal energy changes in chemical reactions is called

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Chemical kinetic

Thermodynamics

Thermochemistry

Mechanics

The raw material to form nylon is

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Adipic acid

Butadiene

Isoprene

Ethylene

Major food factors are:

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Fats and oils

Carbohydrates

Proteins

All of these

What is not a common use of methane

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As a fuel

For the preparation of haloaklanes

For the preparation of methyl alcohol

For the preparation of sulphuric acid

Which property is not present in Al?

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Reacts with acid

Reacts with bases

Changes litmus paper

Changes methyle orange colour

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

Which of the following statements is correct?

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Phenol is less acidic than ethyl alcohol

Phenol is more acidic than ethanol

Phenol is more acidic than carbonic acid

Phenol is more acidic than CH₃COOH

Which of these polymers is an addition polymer

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Nylon 6,6

Polystyrene

Terylene

Epoxy resin

H₂+ L₂----2Hl

In the above equilibrium system, if the concentration of reactants at 25°C is increased, the value K_C will :

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Remains Constant

Increases

Cecreases

Depends upon nature of reactans

N-atom forms three covalent bonds, its electronic configuration is

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Which of the following statement about electron affinity of two elements is correct

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Carbon has greater than oxygen

Sulphur has less than oxygen

Iodine has greater than bromine

Bromine has less than chlorine

Series starting from57La,42Hf -80Hg is in the period:

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4th

5th

6th

7th

Aldehydes are produce in atmosphere by

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Oxidation of secondary alcohols

Reduction of alkenes

Reaction of oxygen atoms with hydrocarbons

Reaction of oxygen atoms with ozone

Alkyl halides react with lithium dialkyl copper reagents to give

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Alkenes

Alkyl copper halides

Alkanes

Alkenyl halides

Solvent extraction method is a particularly useful technique of separation when the product to be separated is:

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non-volatile or thermally unstable.

volatile or thermally stable.

non-volatile or thermally stable.

volatile or thermally unstable.

Which has highest 1st I.E.

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Br

Cl

F

l

CuSO₄. 5H₂O is used to prepare

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Transition complex

Fehling's 'A' sol

Fehling's 'B' sol

Fehling's sol

The melting point is lowest for

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Be

Mg

Ca

Sr

In azeotropic mixture showing negative deviation form Raoult's law show

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Higher b.p. than either

Lower b.p. than either

No change in b.p.

None of these

Chloroform is carcinogenic:

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Heart

Lungs

Liver

Kidney

When potassium metal is exposed to violet light

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Ejection of electrons takes place

Ejection of some potassium atoms occurs

There is no effect

The absorption of electrons takes place

At certain temperature, 50% of HI is dissociated into H₂and I₂the equilibrium constant is

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1.0

3.0

0.5

0.25

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

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Aluminates

Alumlnosilicates

Aluminium slats

All can be used

Covalent compounds are soluble in

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Polar solvents

Non-polar solvents

Concentrated acids

All solvents

Strong reducing agents gave

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Greater positive value of standard reduction potential

Greater negative value of standard reduction potential

Lesser positive value of standard reaction potential

None of these

Atomospheric pollutant is

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CO₂

CO

O₂

N₂

An electric current is passed through silver voltameter connected to a water voltmeter. The cathode of the silver voltameter is 0.108 g more at the end of the electrolysis. The volume of oxygen evolved at STP is

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56 cm³

550 cm³

5.6 cm³

11.2 cm³

Ozone layer of stratosphere requires protection from indiscriminate use of

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Fungicides, insecticides, bactericides and medicines

Aerosols and high flying jets

Atomic explosions and industrial wastes

Baloons and turbo-prop aeroplanes

Which of the following is used as disinfectant

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K₂Cr₂O₇

KMnO₄

K₂MnO₄

K₂CrO₄

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

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

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αandβ

αandα

αand Y

None of these

Which of the following compounds will react with reagent ?

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CH₃ CO H

CH₃ CO CH₃

CH_{3 COOH}

CH₃CO CH₂CH₃

n-butane and iso butane are an example of

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Chain isomerism

Positional isomerism

Meta merism

Functional group isomerism

Rutherford's atomic model suggests the existence of

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Atom

Nucleus

alpha particle

Measons

The rigid rocket part of earth crust called lithosphere extends upto a depth of:

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10 km

100 km

1000 km

1500 km

What is formed when oxalic acid is dehydrated by conc. H₂SO₄?

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C + CO₂

CO

CO₂

CO + CO₂

Hydrolysis of Grignard's reagent gives:

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Alkane

Alkyl

Halide

Alcohol

Which of the following factors does not influenced the rate of reaction

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Concentration of the reaction

Nature of the reactants

Molecularity of the reaction

Temperature

Stainless steel contains ion and carbon along with

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Ni and Cr

Cr and Co

Co and Mn

Mn and Ni

A reaction in which heat is given out is

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An endothermic reaction

An exothermic reaction

A thermochemical reaction

An energetic reaction

Which of the following species has unpaired electrons in antibonding molecular orbitals

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

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7, 15

6, 12

9, 17

3, 20

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

Which of the following cannot conduct electricity :

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NaCl fused.

NaCl(aq)

NaCl(Solid)

Both (b) and (c)

Which compound was recognized the parent member of aromatic compounds

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Aniline

Phenol

Benzene

Toluene

E₂has molecularity :

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One

Two

Three

Half

Which one of the following substance is no used as drying agent in desiccators

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Silica gel

CaCl₂

Phosphorous

NaCL(50%)

Which of the following compounds gives trichoromethane on distilling with bleaching power?

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Methanal

Phenol

Ethanol

methanol

Which is the formula of tetra-ammine chloro-nitro platinum (IV) sulphate

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[Pt(NH₃)₄(NO₂)] SO₄

[Pt NO₂CI(NH₃)₄] SO₄

[Pt CI(NO₂) (NH₃)₄] SO₄

[Pt (NH₃)₄(NO₂) CI] SO₄

The volume occupied by 1.4 g of N₂at S.T.P is

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2.24 dm³

22.4 dm³

1.12 dm³

112 cm³

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

A suitable solvent should dissolve maximum amount of solute at its boiling point and minimum amount at :

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Freezing point.

Room temperature.

Boiling point.

Sea level temperature.

In a reversible reaction, two substances are in equilibrium. If the concentration of each one is reduced to half, the equilibrium constant will be

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Reduced to half of its original value

Doubled

Same

Reduced to one fourth its original value

Which of the following is not correct about transition metals?

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Their melting and boiling points are high

Their compounds are generally coloured

They can form ionic or covalent compounds

They do not exhibit variable valency

Property of transition element is :

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Low m.p and b.p

Parramagnetism

Oxidation state

Low binding energies

Which one of the following reagents will distinguish between C₆H₅CHO and C₆H₅COCH₃

Choose an answer

Aqueous bromine

Phosphorus pentachloride

2, 4 DNPH

Tollen's reagent

Which alcohol may be oxidised to a product which react with 2,4-dinitorphenylhydrazine reagent but not with Fehling's reagent

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Butan-1-ol

Butan-2-ol

2-methylpropan-1-ol

2-methylpropan-2-ol

The change in concentration of reactant or product per unit time is called :

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Rate constant.

Rate of reaction.

Rate equation.

Rate law.

The order of reactivity of an alkyl halide (R-X) for a particular alkyl group is

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Iodide > bromide > chloride

Chloride > bromide > iodide

Bromide > chloride > iodide

Bromide > iodide > chloride

Which of the following compounds will form a hydrocarbon on reaction with Grignard reagent

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A ketone

An aldehyde

An ether

Water

The oxidation number of free element is always taken to be

Choose an answer

0

1

2

-1

The rate determining step is the :

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Slowest step.

Fastest step.

Moderate step.

Both (a) and (b).

Choose an answer

Small change in concentration of product

Small time internal

Co-efficient of the reactant

Co-efficient of the product

The oxyacids of phosphorus in which phosphorus has the lowest oxidiation state is

Choose an answer

Hypophosphorus acid

Orthophosphorus acid

Pyrophosphorus acid

Metaphosphorus acid

The number of spherical nodes in 3p orbitals are

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One

Three

Non

Two

which one of the following is a heteroheneous catalysis

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Teflon, styron and neoprene are all

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Copolymers

Condensation polymers

Homopolymers

Monomers

Alcohol can be denaturated by adding:

Choose an answer

Acetone

Methanol

Pyridine

All

When acetylene is passed through a copper tube at 300°C, it polymerizes to

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Polyacetylene

polyethylene

Benzene

None of these

Splitting of spectral lines of the hydrogen atom under the influence or magnetic field is called

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Stark effect

Zeeman effect

Compton effect

Photoelectric effect

Which is non typical transition element :

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Ni

Co

Y

Fe

Vitamin A is present in

Choose an answer

Liver

Milk

Green vegetables

All

The value of charge on electron is

Choose an answer

1.602 x 10^-19coulombs

1.602 x 10^-18coulombs

1.602 x 10^-17coulombs

1.602 x 10^-16coulombs

One of the following bonds is polar but compound is non-polar

Choose an answer

H₂O

NH₃

HCl

CO₂

Which of the following are electropositive in nature

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Alkali metals

Alkaline earth metals

Halogens

Alkali and alkaline earth metals

When nitrogen is 5.6 grams in NO₂. then number of moles of NO₂is

Choose an answer

0.5

0.4

0.04

0.05

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

Chloroflurocarbon releases a chemical harmful to ozone

Choose an answer

Fluorine

Chlorine

Nitrogen peroxide

Sulphure dioxdie

Peat contains about

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60% carbon

80% carbon

78% carbon

50% carbon

According to Raoult's law

Choose an answer

Relative lowering of V.P. is equal to mole fraction of solute

The lowering of V.P. is directly proportional to mole fraction of solute

V.P. of solvent above solution is equal to product of V.P. of pure solvent and mole fraction of solvent ins solution

All of the above

Subsidiary quantum number specifies

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size of orbital

shape of orbital

orientations of orbitals

Nuclear stability

Alcohals can be distinguished using test:

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Lucas

Tollen's

Koib's

William's

Which of the following metals is sometimes found in native state in nature?

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Al

Cu

Fe

Mg

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

Two different hydrocarbon each contain the same percentage by mass of hydrogen. It follows that they have the same

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Empirical formula

Number of atoms in a molecules

Number of isomers

Relative molecular mass

Oceans cove ______ percent of the surface of the earth

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60

70

80

97

Choose an answer

-76 KJ

-57 KJ

-171 KJ

-114 KJ

Elimination bimolecular reactions involve:

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First order Kinetics

Third order kinetics

Zero order kinetics

Dilatometric method is used for rate determination when

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Reactions involving change of optical

Reactions involving change of optical activity

Reactions involving small volume change

None of above

Which is not a steroid

Choose an answer

Cholesterol

Ergosterol

Phospholipids

None of these

Elements have the tendency to attain 8 electrons in their valence shell. This is known as

Choose an answer

Octer rule

Hunds rule

Pauli exclusion principle

Auf ban principle

Which is not true about acetophenone?

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Reacts to form 2,4-dintrophenyl hydrazine

Reacts with Tollen's reagent to form silver mirror

Reacts with I₂/NaOH to form iodoform

On oxidation with alkaline KMnO₄followed by hydrolysis gives benzoic acid

When propanamide reacts with Br₂and NaOH then which of the following compounds is formed?

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Ethyl alcohol

Propyl alcohol

Propyl amine

Ethylamine

Aldelydes are the oxidation product of

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P-alcohols

s-alcohols

ter-alcohols

carboxylic acids

The clotting time of blood is increased due to the deficiency of

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Vitamin A

Vitamin K

Vitamin D

Vitamin C

Which one of the following has discontinuous solubility curve

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CaCI₂6H₂O

NaCI

KCI

NaNO₃

Which inorganic precipitate acts as semipermeable membrane?

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Calcium sulphate

Barium oxalate

Nickel phosphate

Copper ferrocyanide

Maximum potential energy that an electron can have within the atom is:

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Equal to zero.

Less than zero.

Greater than zero.

Infinite