Question # 1

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-2x³

2x^-3

-2x^-3

2x³

tan(cot^-1x) is equal to

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cot(tan^-1x)

tan x

secon x

None of these

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additive property

multiplicative property

additive identity

multiplicative identity

The 6th term of the sequence 7,9,12,16......is

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27

32

20

19

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

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an identity

A fraction

A partial sum

Improper fraction

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If y = sin (ax + b), then fourth derivative of y with respect to x =

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a⁴cos (ax + b)

a⁴sin (ax + b)

-a⁴sin (ax + b)

a⁴tan (ax + b)

If you are looking someone on the ground from the top of a hill the angle formed is called angle of _______;

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Elevation

Depression

Right angle

None off these

A right angle is the angle of measure

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90'

60°

60"

90°

The set of all positive even integers is

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Not a group

A group w.r.t subtraction

A group w.r.t division

A group w.r.t multiplication

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quadratic function

constant function

trigonometric function

linear function

The distance of the point (-2 , -3) from x-axis is

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2

-3

3

5

The 5th term of (3a-2b)^-1is

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77b²/a⁵

16b²/243 a⁵

17b⁴/43a⁵

25b³/43a⁵

The zero vector is regarded to be parallel to

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Every vector

Is some cases

Both a,b

None

x²+ x - 5 = 0 is

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A polynomial

An inequality

An identity

None

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

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30 πsq.units

5π sq.units

15π sq.units

25π sq.units

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A(α) - A(β)

A(α) + A(β)

A(α-β)

A(α+β)

The law of sines can be used to solve

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Right angle triangle

Isosceles triangle

oblique triangle

haxagon

The span of a standard parabola depends upon

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x

a

y

y2

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Principle of equality of fractions

Rule for product of fractions

Golden rule of fractions

Rule for quotient of fractions

Let P(x₁, y₁) and Q(x₂, y₂) be two points in the co-ordinate plane. Let d = distance between P and Q

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If distance of (a,b) from y-axis is 2 then

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a = 2

b = 2

a = b

a = 4

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0

1

-1

none of these

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a f(x) + c

f(x) + a

If #n = (n-5)2 + 5, then find #3 x #4.

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54

12

4

9

A dice is rolled. The probability that the dots on the top are greater than 4 is

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1/6

1/3

1/2

1

The area enclosed between the graph y = x²-4x and the x- axis is:

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20/3

41/3

32/3

25/3

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1

-1

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The straight lines represented by the equation ax2+ 2hxy +by2 =0 intersects at

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(1,1)

(0,1)

(1,0)

(0,0)

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I and III quadrants

II and III quadrants

I and II quadrants

II and IV quadrants

A die is thrown, the probability that the dots on the top are prime numbers or odd numbers is

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1/2

2/3

1/3

2/5

The greatest integer which divides the number 101¹⁰⁰- 1 is

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100

1000

10000

100000

For any set B, BUB' is

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Is set B

Set B'

Universal set

None of these

The distance of the point (2, -3) from x-axis is

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-2

-3

2

3

Which of the following ordered pair is a solution of the inequality x+2y<6?

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(2,3)

(2,2)

(6,0)

(1,1)

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π / 4

π / 6

π / 3

0

In polar form of complex number r =

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A person standing on the bank of a river finds that the angle of elevation of the top of a tower on the opposite bank is 45°. then which of the following statements is correct?

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Breadth of the river is twice the height of the tower

Breadth of the river an the height of the tower are the same

Breadth of the river is half of the height of the tower

None of these

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Closure law of addition

Associative law of addition

Commutative law of multiplication

Associative law of multiplication

If -1 < x < 0, which of the following statements must be true?

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x < x²< x³

x < x³< x²

x²< x³< x

x²< x < x³

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A positive integer

A negative integer

A natural number

An irrational number

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If a particle moves according to the law s = t³- t², then its velocity at time t = 1.5 is

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9/2

15/4

5

None

If one end of the diameter of the circle x² + y²- 5x = 3y -22 = 0 is (3,4) the other end is:

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(2,7)

(-2,-7)

(-2,7)

(2,-7)

A = [3] is a/an

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Square matrix

Scalar matrix

Diagonal matrix

Identity matrix

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

Rational number is a number which can be written as a terminating decimal fraction or a

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Non-terminating decimal fraction

Non-recurring

Recurring decimal fraction

a, b and c

The roots of the equation ax²+ bx + x = 0 are real and distinct if

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b²- 4ac <0

b²- 4ac = 0

b²- 4ac > 0

None of these

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Domain of sec x is ______

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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

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0

1

-1

None of these

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The equation of the normal to the circle x²+ y²= 25 at (4, 3) is

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3x - 4y =0

3x - 4y =5

4x + 3y = 5

4x + 3y = 25

The equation |x + 4| = x has solution

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x = -2

x = 2

x = -4

x = 4

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Out of 40 consecutive natural numbers, two are chosen at random. Probability that the sum of the numbers is odd, is

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14 / 29

20 / 39

1 / 2

n

If ab > 0 and a < 0, which of the following is negative?

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b

-b

-a

(a - b)²

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(-6,4)

(-3,2)

(6,-4)

(3, -2)

An airplane flying at height of 300 meters above the ground passes vertically above another plane at an instant when the angle of elevation of the two planes from the same point on the ground are 60° and 45° respectively. Then the height of the lower plane from the ground is (in meters).

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Given X,Y are any two sets such that number of elements in set X = 28, number of elements in set Y = 28, and number of elements in set X∪Y = 54, then number of elements in set X ∩ Y =

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4

3

2

1

The n numbers A₁,A₂,A₃,.....A_nare called an arithmetic means between a and b if a.A₁,A₂,A₃.....A_n, b is ______

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An arithmetic series

An arithmetic sequence

A geometric sequence

A harmonic sequence

The point lying on the terminal rat of -270° is

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(1,0)

(0,-1)

(0,1)

(-1,0)

Matrix multiplication is

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Commutative

Not commutative

Not associative

Not distributive

A and B throw a dice. The probability that A's throw is not greater then B's is

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5 / 12

7 / 12

1 / 6

1 / 2

i¹⁰¹ =

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i

i²

-i

-1

If A is singular then |A| = ______

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1

0

2

None of these

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are real no

both are not real

are imaginary no

both are imaginary

A monoid (G, *) is said to be group if

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have identity element

is commutative

have inverse of each element

None of these

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π/ 2

π/ 3

π/ 4

π

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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x²+ x - 6 = 0 is

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An equation

An identity

A polynomial

None of these

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If f (x) = 2x+1 then fof (x) = _______;

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4x+3

2x +3

4x +1

None of these

The points A(3,1),B(-2,-3),C(2,2) are vertices of an (an)

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Right triangle

Equilateral triangle

Isosceles triangle

Scalene triangle

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The number of ways of arranging the letter AAAAA BBB CCC D EE F in a row when no two C's are together is

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The general equation of circle x³ + y³ + 2gx + 2fy + c = 0 , contains:

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Three independent variables

Two independent conntants

Three indepentent parameters

Three independent constants

cos h²x + sin h² x

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an even function

an odd function

an even and implicit function

neither even nor a odd

ᵨ is a

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variable

Positive constant

Positive variable

Directrix

1/2,1/3,1/4,1/5.........is

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a geometric sec

an arithmetric series

finite sequence

an infinite sequece

The point of concurrency of the angle bisectors of a triangle is called

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incentre

circumcentre

e-centre

centroid

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The transport of a null matrix is

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Row matrix

Column matrix

Square matrix

Null matrix

Sin-1(-x)=

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x

-x

-sin-1 x

cos-1 x

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π

π/6

-π/2

2π

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cos x

sec x tan x

sec²x

-cosec²x

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An ellipse slides between two lines at right angles to one another. The locus of its centre is :

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a parabola

an ellipse

a circle

a hyperbola

Which property is not present in Al?

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Reacts with acid

Reacts with bases

Changes litmus paper

Changes methyle orange colour

Lactic acid on heating with dil. H₂SO₄gives

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Acetic acid

Propionic acid

Acrylic acid

Formic acid

Which of all following compound is not possible

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Which of the following gases is used for illuminating purpose?

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Methane

Ethane

Propane

Butane

One mole of C₂H₅OH contains the number of H-atoms

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6.02 x 10²³

3.61 x 10²⁴

1.81 x 10²⁴

6.02 x 10²⁴

Which orbital is in the process of completion in case of transition elements

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p-orbital

f-orbital

d-orbital

s-orbital

A substance which increases the rate of a reaction without being consumed during the reaction is called

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An autocatalyst

A catalyst

A negative catalyst

All of these

Which is not carboxylic acid with pungent smell?

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Formic acid

Acetic acid

Ethanoic acid

Butyric acid

Saponification of ethyl benzoate with caustic soda

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Benzyl alcohol,ethanoic acid

Sodium benzoate, ethanol

Benzoic acid, sodium ethoxide

Phenol, ethanoic acid

Which of the following is known as wood spirit

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Ethyl alcohol

Propyl alcohol

Methyl alcohol

Butyl alcohol

Which causes water pollution?

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Smoke/fly ash

Automobile exhausts

Aeroplnes

2,4-D and pesticides

LiOH ______ soluble than NaOH

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More soluble

Less soluble

Equally soluble

None

The reaction between primary amine-chloroform and alcoholic caustic potash is called

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Wurtz reaction

Frankland reaction

Cannizzaro's reaction

Carbylamine reaction

As it passes into food chain, the concentration of DDT

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Remains same

Decreases

Increases

Unpredictable

The order of dehydration of alcohol

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10> 20> 30

10> 30> 20

20> 30> 10

30> 20> 10

Content of carbon in steel is:

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0.12 to 0.25%

0.25% to 2.5%

3.0 to 3.5%

4.0 to 4.5%

When hydrogen cyanide is added to an Aldehyde in the presence of ammonia it is called

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Strecker synthesis

Cory house synthesis

Williamson;s synthesis

None of these

The charge over mass ratio of electron is:

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1.6 x 10^-1 C Kg^-1

9.1 x 10^-31 C Kg^-1

1.7588 x 10¹¹ C Kg^-1

6.62 x 10^-34 C Kg^-1

Born-Haber cycle is an application of

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First of thermodynamics

Second law of thermodynamics

First law of thermodynamics

Hess's law

An electron has principal quantum number 3. The number of its 1 subshell and 2 orbitals would be respectively

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3 and 5

3 and 7

3 and 9

2 and 5

One of the environmental problem is the formation of oil slicks when oil is spilled from tankers in sea water. Which treatment is suitable to remove oil slicks

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Blow air

Add Na₂CO₃

Use a specially made sorbent having flouring trapped in it

Use a sorbent having Al₂O₃trapped in it

Molecular orbitals are filled with the available electrons according to:

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Hund's of rule.

Pauli's exclusion principle.

Aufbau principle.

All of above.

Which statement is incorrect for and ideal solution

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The forces of attractions between solute and solvent molecules are same

There is no evolution or absorption of heat

Volume of the solution is less than sum of volumes of individual components

Vapour pressure of solution is directly proportional to the mole fraction of solvent

Rutherford's experiment led to the discovery of

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Nucleus

Electron

Proton

alpha particle

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0 1

0 2

1 1

1 2

Which of the following will not give iodoform test?

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Ethanol

Ethanal

Isopropyl alcohol

Benzyl alcohol

Forms of waste products :

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Heat

Smoke

Solid

All of these

The formula of lime stone is

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CaCl₂

MgCO₃

Na₂CO₃

CaCO₃

Newspaper can be recycled again and again by how many times?

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2

3

4

5

Macromolecules or polymers are large molecules built up from small molecules called monomers. This hypothesis put forward by

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Schrodixger

Standinger

Lewis

Newton

How much of NaOH is required to neutralize 1500 cm³of 0.1 N HCl?

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60 g

6 g

4 g

40 g

Peat before conversion to bituminous coal is converted to

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Lignite

Anthracite

Asphalt

None

Gypsum added in the cement is :

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5%

10%

15%

20%

The number of atoms or molecules whose concentrations determine the rate of the reaction is called

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Molecularity

Order

Rate of reaction

Rate constant

The formula of ketone is

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None of these

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

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

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The process in which orbitals of different energies and shapes mix up with each other to give equivalent is called,

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Hybridization

Polymerization

Isomerisation

Carbonization

A solution of two component is called

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Binary solution

Dilute solution

Original solution

Standard solution

During reaction of O₂and alkenes, a product:

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Glycol

Epxide

Halohydrin

Ethylene glycol

Which of the sub-atomic particles is not charged

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Electron

Proton

Neutron

All of them

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-76 KJ

-57 KJ

-171 KJ

-114 KJ

The common name of propanoic acid is

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Acetic acid

Formic acid

Propionic acid

Butyric acid

An aqueous solution is neutral when its

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pH = 14

pH = zero

pH = 7

Kw = 10^-7

Which reaction yields Bakelite?

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Urea with HCHO

Tetramethyl glycol with Hezamethylene diisocyanate

Phenol and HCHO

Ethylene glycol and Dimethylterephthalate

The general formula of saturated alicyclic hydrocarbons is:

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C_nH_n

C_nH_2n

C_nH_2n+2

C_nH_2n-1

Choose an answer

Condensation

Electrophilic substitution

Free radical substitution

Nucleophilic substitution

Alkali metals react violently with halogens to form

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Hydrides

Halides

Anyhydrides

None of these

Most transition elements show

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Diamagnetic behavior

Ferromagnetic behavior

Paramagnetic behavior

None of these

Acetaldehyde is used to make

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Rubbber

Antiseptics

Phenolic resin

All of these

The substances which soften the polymer are called

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Stabilizers

Plasticizers

Retarders

Pigments

Which of these polymers is an addition polymer?

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Nylon-6,6

Polystrene

Terylene

Epoxy resin

Acetone reacts with HCN to form a cyanohydrin. It is an example of:

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Electrophilic addition

Electrophilic substitution

Nucleophilic addition

Nucleophilic substitution

The credit of discovering neutron goes to

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Rutherford

Langmuir

Chadwick

Austen

The less reactivity of transition metal is due to

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High heats of sublimation

High ionization energies

Low heats of salvation

All these

Cotton is ______% cellulose

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90

100

99

30

When the rate of formation of reactants is equal to the rate of formation of products, this is known as

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Chemical reaction

Chemical equilibrium

Chemical kinetics

None

(CH₂O)_nis general formula for

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Monosaccharides

Oiligosaccharides

Polysaccharides

None of these

Eka-aluminium and Eka-silicon are known as

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Gallium and Germanium

Aluminium and silicon

Iron and sulphur

Proton and silicon

The rate of forward reaction is two times that of the reverse reaction at a given temperature and identical concentration, K equilibrium is

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0.5

1.5

2.5

2.0

The element with atomic number 55 belongs to which block of the periodic table

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s-block

p-block

d-block

f-block

When H₂and I₂are mixed and equilibrium is attained, then

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Amount of HI formed is equal to the amount of H₂dissociated

HI dissociation stops

The reaction stops completely

None of these

One calorie is equal

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4.132 J

760 J

4.184 J

1 J

Common names of carboxylic acids are given by then:

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Source

Person discovered

place

habit

The charge of an electron is determined by

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J.J. Thomson

Crooks

Perrin

R.A.Millikan

Which one of the following elements occurs free in nature?

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N

P

As

Sb

Direct conversion of solid intro vapours is called:

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Crystallization

Sublimation

Obligation

Vapourization

Ozone depletion in stratosphere shall result in

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Forest fires

Increased incidence of skin cancer

Global warming

None of the above

Which one of the following enzymes brings about the hydrolysis of fats

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Urease

Maltase

Zymase

Lypase

Mixture of alcohol and water can be separated by

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Solvent extraction techniques

Crystallization

Precipitation and filtration

Fractional distillation

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

The relative abundance of Pb isotopes is 1.5% Pb²⁰⁴, 23.6% Pb²⁰⁶, 22.6% Pb²⁰⁷, 52.3% Pb²⁰⁸The relative atomic mass of Pb is

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207.94

208.24

206.94

207.24

Which one is the most toxic?

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Carbon

CO

CO₂

SO₂

When of the following is isolelectronic with krypton

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Ca⁺⁺

Al⁺⁺⁺

Br^-1

I^-1

Choose an answer

Initial concentration of acetic acid

Initial concentration of ethyl acetate

Equilibrium concentration of acetic acid

Equilibrium concentration of ethyl acetate

Lattice energy of NaCI

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+5000 KJ

-344 KJ

-776 KJ

-411 KJ

Maximum hydrogen bonds in water are

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4

3

2

8

Ifk_cof a reaction productis verylarge, it indicates that equilibrium occurs :

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With the help of a catalyst.

With no forward reaction.

At a low product concentration.

At a high product concentration.

An alkane is produced when an alkyle halide reacts with zinc in the presence of

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HCl

CH₃COOH

Both a & b

None

Which of the following compounds will react with reagent ?

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CH₃ CO H

CH₃ CO CH₃

CH_{3 COOH}

CH₃CO CH₂CH₃

Choose an answer

Iodine can oxidise iron

Bromine can oxidise iron

Iodine can oxidise bromine

Iron can oxidise bromine

The formula of calcium superphosphate is

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CaHPO₄

CaH₂PO₄

Ca(H₂PO₄)₂

None of these

The value of K_pis greater than K_cfor a gaseous reaction when

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Number of molecules of products is greater than the reactants

Number of molecules of reactants is greater than those of products

Number of molecules of reactants and products equal

Catalyst is added

Which of these polymers is a synthetic polymer

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Animal fat

Starch

Cellulose

Polyester

Which electronic configuration corresponds to an element of Group ||Z-A of the periodic table?

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1s², 2s² , 2p⁶, 3s², 3p¹

1s, 2s², 2p⁶, 3s², 3p⁶, 4s²

1s², 2s², 2p⁶

1s², 2s², 2p⁶, 3s², 3p³

Selection of filter paper depends upon sizes of particles to be:

Choose an answer

Tested

^Filtered

Checked

All of above

Lithium reacts with air to form

Choose an answer

Peroxide

Normal oxide

Superoxide

None of these

Most hazardous metal pollutant of automobile exhaust is

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Mercury

Lead

Cadmium

Copper

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

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

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αandβ

αandα

αand Y

None of these

SO₂and NO₂produce pollution by increasing

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Alkalinity

Acidity

Neutrality

Buffer action

Which one of the following statements is not correct

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

He is a molecule of helium

S₈is a molecule of sulphur

O₃is a molecule of oxygen

In ter-butyl alcohol, the tertiary carbon is bonded to

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Two hydrogen atoms

Three hydrogen atoms

One hydrogen atoms

No hydrogen atom

According to Mendeleev, the properties of the elements are periodic function of their

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Atomic number

Atomic volumes

Atomic masses

Atomic densities

In CCL4 solvent I3 shows:

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Blue Color

Brown Color

Purple Color

Pink Color

Polyester resins have special use in:

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Clothing

Paints

Emulsion

Floor covering

Which of the following will be good conductor of electricity

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Pure distilled water

Molten NaCl

Dilute solution of glucose

Chloroform

Both E₁and E₂mechanism can be shown by

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1° - RX

2° - RX

3° - RX

None of these

The pH of 10^-3mole dm^-3of an aqueous solution of H₂SO₄is

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3.0

2.7

2.0

1.5

Which of the following statement about fluorine is not correct?

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Electron affinity of chlorine is greater than that of fluorine

Bond energy of fluorine is less than that of chlorine

Fluorine cannot be prepared by electrolysis of fused metal fluorides

Fluorine does not form oxoacid

When an electron is added to a uni positive ion we get:

Choose an answer

Cation

Molecule

Neutral atom

Anion