Question # 1

(x-1) is a factor of

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2x³-3x²+9

2x³-5x-8

48x^2-46x-9

x⁹-1

The additive inverse of 1 is

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1

-1

0

Does not exist

Cycle tyres are supplied in lots of 10 and there is a chance if 1 in 500 tyres to be defective. Using Poisson distribution, the approximate number of lots containing no defective tyre in a consignment of 10, 0000 lots is

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9028

9208

9802

9820

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[0, 0, 0]

[1, 0, 0]

[0, 1, 0]

[0, 0, 1]

{x|x∈R∧x≠x} is a

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Infinite set

Null set

Finite set

None of these

The first three terms in the expansion of (1 - x)^-3are

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1 + 3x + 6x²

1 - 3x + 6x²

-3 - 3x - 6x²

1 - 3x - 6x²

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

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0

2

4

Which of the following function form 1 to itself are bi-jective

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F(x) = x + 3

F(x) = x⁵

F(x) = 3x + 2

F(x) = x²+ x

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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

√23 is

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A rational number

A irrational number

An even integer

A factor of 36

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l²+ m²+ n²= 0

l²- m²+ n²= 1

l²+ m²+ n²= 1

l²+ m²- n²= 0

If cos 20°=K and cos x=2 k²-1, then the possible values of x between 0° and 360° are

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140°

50° and 140°

50° and 130°

40° and 320°

A fraction in which the degree of the numerator is less the degree of the denominator is called

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Polynomial

Proper fraction

Rational fraction

None

Which of the following integrals can be evaluated

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IfΔABC is right, law of cosine reduce to

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Law of sine

Law of tangent

Phthogorous theorem

Hero's formula

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Cofactor of an element aij denoted by Aij is

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(-2)i+j

Mij

(-1)i+j Mij

None of above

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Reflexive property

Symmetric property

Transitive property

Additive property

(a+bi) - (c+di)=

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(a+b) = (c+d)

(a+c) + i(b+d)

(a - c) + (c- d)i

(a - c)+ (b - d)i

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ⁿC_r

ⁿ⁺¹C_r+1

ⁿC_r+1

None

Derivative of sin x w.r.t. sin x is

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0

1

sin x

cos x

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

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Circle

ellipse

hyperbola

parabola

x = ________ is in the solution of 2x + 3 > 0

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1

-2

-3

-4

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

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

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If the roots of x²+ ax + b = 0 are non-real, then for all real x, x²+ ax + b is

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Negative

Positive

Zero

Nothing can be said

Every real number is

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a positive integer

a rational number

a negative integer

a complex number

Tan 3x tan 2x-tan x is equal to

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Tan x tan 2x tan 3x

-tan x tan 2x tan 3x

Tan x tan 2x - tan - tan x tan 3x - tan 2x tan 3x

None of these

x = 1 is in the solution of the inequality

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x + 1 > 0

x - 2 > 0

3x - 1 < 0

x + 2 < 0

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A diagonal matrix in which the diagonal elements are equal is called a

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Null matrix

Identity matrix

Scalar matrix

Row matrix

x²+ x - 6 = 0 is

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An equation

An identity

A polynomial

None of these

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direction ratios

direction cosines

direction angles

none of these

tanθ/2

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Commutative law of multiplication

Closure law of multiplication

Associative law of multiplication

Multiplication identity

The set {{a,b}} is

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Infinite set

Singleton set

Two points set

None

For all points (x,y) in fourth 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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0

1

-2

10

Which is an explicit function

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y = x²+ 2x - 1

x²+ xy + y²= 2

x²+ y²= xy + 2

All are

Two circles are said to be concentric if they have

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same radius

same chord

same centre

same diameter

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are real no

both are not real

are imaginary no

both are imaginary

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

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8!

5!3!

5!

20

The positive real number which is the measure of the length of a vector is called the

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Unit vector

Modulus

Inverse

None of these

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1

-i

i

0

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The set {-1,1} is

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Group under the multiplication

Group under addition

Does not form a group

Contains no identity element

cos⁴θ- sin⁴θ=

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cos4θ

cos2θ

-sinθ

sin2θ

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(-6,4)

(-3,2)

(6,-4)

(3, -2)

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

The distance s of a particle in time t is given by s = t³- 6t²- 4t - 8. Its acceleration vanishes at t =

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1

2

3

4

If z₁= 2 + 6i and z₂= 3 + 7i, then which expression defines the product of z₁and z₂?

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36 + (-32)i

-36 + 32i

6 + (-11)1

0, +(-12)i

The negation of a number

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a relation

a function

unary operation

binary operation

For any set B,B∪B' is

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Is set B

Set B'

Universal set

Sin 90° = ______

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-1

0

1

Undefined

The number of arbitrary constants in the general solution of a differential equation is equal to the different equation

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Order

Degree

Variables

All are correct

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

Number of conics is

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1

3

2

4

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a^x

a^xIn a

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r + 3 >5 then which is true

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r + 2 > 4

r + 2 < 4

r + 2 = 4

None

The roots of the equations will be equal if b²- 4ac is

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Positive

Negative

1

Zero

The period of tan x/7 is

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3π

7π

15π

5π

The transport of a rectangular matrix is a

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Square matrix

Rectangular matrix

Row matrix

Column matrix

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Cos 2x = sin 4y

Cos 4y = cos 2x

Cos 3y = sin 4x

None of these

y=0 of the parabola y² = 4ax is the

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equation of directirx

Equatio of the tangent

Equation of axis

equation of latus rectum

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0

1

2

4

6 is

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A prime integar

An irrational number

A rational number

An odd integer

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A onto B

both a & c

A into B

none of these

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1

-1

0 (zero) is

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An irrational number

A rational number

A negative integer

A positive number

An equation which holds good for all values of variables is called

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Equation

Conditional equation

Constant

None

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p < r

p > rr

p + r < 0

p - r < 0

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none of these

If a, b, c are in A.P., then 3^a, 3^b, 3^care in

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A.P.

G.P.

H.P.

None of these

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0

1

-1

2

If the cutting plane is parallel to the axis of the cone and intersects both of its nappes, then the curve of intersection is:

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an ellipse

a circle

a parabols

a hyperbola

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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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1

1/2

0

None

The set X is

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Proper Subset of X

Not A subset of X

Improper Subset of X

None of these

Which is not a half plane

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ax + by < c

ax + by > c

Both A and B

None

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The value of sin [ arc cos (-1/2)] is

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A = B if

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A is equivalent to B

If p and q are two statements then their biconditional 'p if q' is denoted by

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What is the period of tan 4/3 x =?

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π/4

4π/3

7π/4

3π/4

If n is any positive integer then 3 + 6 + 9 + ....+ 3n = ______

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Which of the following is a vector.

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energy

force

work

power

The period of cosec 10x is _______

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The condition for polynomial equation ax²+ bx + c = 0 to be quadratic is

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If one root of 5x2 + 13x + k = 0 be the reciprocal of the other root the value of k is

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0

2

1

5

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The eccentricity of ellipse becomes zero, then it takes the form of:

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a parabols

a straight line

a circle

None of these

With increases in temperature of 10 K of the reacting gases the rate of reaction is doubled because

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Increase in number of collisions

Number of molecules having energy more than Ea is doubled

Increase in order of reaction

Increase in surface area

Which of the following orbitals have a dumb bell shape?

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s

p

d

f

Boiling point of n-butane is:

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-102°C

-75°C

-55°C

55°C

Which of the following is produced when an aqueous solution of butan-2-ol is refluxed with dil acidified KMnO₄

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Butanol

Butanoic acid

Butanone

Butane

Which alcohol gives only one oxidation product when wormed with dil acidified K₂Cr₂O₇

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Butan-1-ol

Butan-2-ol

2-methyl propan-1-ol

2-methyl propan-2-ol

Methyl alcohol is not used:

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As a solvent

As an anti-freezing agent

As a subsitution for petrol

For denating of ethyle alcohal

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

The formula of ketone is

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None of these

Urea has concentration when prepared before prlilling:

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46%

82%

99.7%

100%

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

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Macro molecules

Mega molecules

Poly molecules

Gega molecules

The mass of Al₂S₃formed when 20 grams Al reacts completely with S is

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60 g

50 g

50.55 g

55.55 g

Which is not a nucleophile

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Benzene

Chlorine

Ethene

Ethanol

Electrochemistry is concerned with the conversion of electrical energy into chemical energy in :

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Galvanic cell

Electrolytic cell

Voltaic cell

Both (a) and (c)

Tollen's reagent is

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Ammonical cuprous chloride

Ammonical cuprous oxide

Ammonical silver bromide

Ammonical silver nitrate

At present cement plants in Pakistan are:

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Ten

Twenty Two

Four

Twenty Four

Which statement in not correct about alcohol?

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Ethyl alcohol is heavier than water

Ethyl alcohol ecaporates more quickly

Alcohol with less number of carbon atoms is more soluble in water than alcohol with more number of carbons atoms

Alcohol produces H₂by reaction with sodium metal

Major food factors are:

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Fats and oils

Carbohydrates

Protiens

All of these

The fiber which is made from acrylonitrile as monomer:

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PVC

Rayon Fiber

Acrylic fiber

Polyester fiber

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

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5 x 10^-8m

5 x 10^-9m

500 x 10^-7m

500 x 10^-9m

As a fixing agent in photography, sodium thisoulphate is used for

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Dissolving out unreacted silver bromide

Converting silver

Reducing solubility of AgBr

Preventing overdeveloping and fogging

Which of these polymers is a synthetic polymer?

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Animal fat

Starch

Cellulose

Polyester

B.O.D is connected with

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Organic matter

Microbes

Mircrobes and organic matter

None of the above

The wave number of the light emitted by a certain source is 2 x 10⁶m^-1. The wavelength of this light will be

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500 nm

500 m

200 nm

5 x 10⁷m

H-bonding is not present in

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Glycerine

Water

Hydrogen sulphide

Hydrogen fluride

ph of the buffer CH₃COOh + CH₃COONa is 3.76. If the mixture contains 1 molar acetic acid and 0.1 molar sodium acetate, then pKa of this buffer is

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3.76

4.76

5.76

6.76

Hydrolytic reaction of fats by causic soda is known as

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Acetylation

Carboxylation

Esterification

Saponification

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Forward reaction is favoured

Backward reaction is favoured

No effect

None of the above

The solution left after the formation of crystals is called :

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Residue.

Filtrate.

Mother liquor.

None of these.

What is the packet of energy called?

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Electron

Photon

Positron

Proton

Which one of the following is not a nuclelphile

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H₂O

H₂S

BF₃

NH₃

Potassium ferrocyanide is a

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Mixed salt

Double salt

Complex salt

Normal salt

Azimuthal quantum number of last electron of ₁₁Na is

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1

2

3

0

Spraying of DDT produces pollution of

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Air

Air and water

Air and soil

Air, water and soil

In which one of the following compound rings are not fused together at ortho positions

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Phenanthrene

Naphthalene

Diphenyemethane

Anthracene

Specific conductivity of a solution

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Increases with dilution

Decreases with dilution

Remains unchanged with dilution

Depends on mass of electrolyte

Which formula represents the organic compound formed by the reaction of propanoic acid with methanol in the presence of concentrated sulphuric acid as a catalyst

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CH₃CH₂COCH₃

CH₃CH₂CO₂CH₃

CH₃CO₂CH₂CH₃

CH₃CH₂CH₂CO₂CH₃

The human body can synthesize ______ amino acids

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1

10

20

19

Aldehydes and ketones are carbonyl compounds. Which of them react both with NaBH₄and with Tollen's reagent

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Both aldehydes and ketones

Aldehydes only

Ketones only

Neither aldehydes nor ketones

When a carbon atom forms single bonds with other carbon atoms, these hybrid orbitals overlap with the orbitals of hydrogen to form four bonds which are

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Three sigma and one P_i

Two sigma and two P_i

One sigma and three P_i

sigma

Which of the following is weakly acidic in nature

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Alcohol

Phenol

Aidehyde

Amide

Teflon, styron and neoprene are all

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Copolymers

Condensation polymers

Homopolymers

Monomers

Sulphur dioxide affects

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Cell wall

Plasmodesmata

All membrane systems

Nucleus

Acetic anhydride is obtained form acetyl chloride by the reaction of

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P₂O₅

H₂SO₄

CH₃COONa

CH₃COCH₃

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 element in +3 oxidation state has the electronic configuration (Ar) 3d³. Its atomic number is

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24

23

22

21

Number of elements in the first period of the periodic table are

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Two

Four

One

Eight

Pb has inert pair of electrons:

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One

Two

Three

Four

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

The quantitative relationship between the substances according to balanced equation describes

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Reversible reactions

Stoichiometry

Limiting reacting

Percentage composition

Which of the following species is paramagnetic?

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CO₂

NO

O^2-

CN

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

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Calorie

Joules

Ergs

Watts

Basicity of orthoposphoric acid is

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2

3

4

5

The freezing mixture used in ice cream machine consists of ice and

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NaCI

KCI

MgCI₂

NaNO₃

The attraction that an atom exerts on a pair of electrons that are being shared with another atom for forming covalent bond is referred to as its

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Electron affinity

Electronegativity

Ionisation energy

Valency

Which of the following groups will increase the acidity of phenol?

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-NO₂

-CN

-X (halogens)

All

Aromatic hydrocarbons are the derivatives of

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Normal series of paraffins

Alkene

Benzene

Cyclohexane

Reaction of Grignard's reagent eith aldehyds other formaldehyde gives: Reaction of Grignard's reagent with formaldehyde gives:

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Pri-alcohol

Sec-alcohol

Ter-alcohol

Carboxylic

The general formula for alkenes is

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C_nH_2n+1

C_nH_2n+2

C_nH_2n

C_nH_2n-2

Which compound is more soluble in water

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C₂H₅OH

C₆H₅OH

CH₃OCH₃

n-hexanol

Coordination number of Pt in [PtCl (NO²) (NH³)⁴]^2-

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2^-

4

1

6

Smallest charge of electricity that has been measured so far is

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Charge on a-rays

Charge on electron (1.602 x 10^-19C)

Charge on x-rays

Charge on gamma rays

DDT is formed from

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Benzene and Chlorobenzene

Chloral and Chlorobenzene

Chloral and Benzene

Chlorobenzene and chlorine

Eletronegativity difference in C-C bond in alkanes is:

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Zero

Double

Half

4.0

Aryl halides are less reactive towards nucleophilic substitution reactions as compared to alkyl halides due to

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The formation of less stable carbonium ion

Resonance stabilization

Larger carbon-halogen bond

The inductive effect

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

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Octer rule

Hunds rule

Pauli exclusion principle

Auf ban principle

The amount of products obtained from the balanced chemical equation is regarded as

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Theoretical yield

Actual yield

% yield

Experimental yield

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The structure of benzene is

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Hexagonal

Pyramidal

Square planer

Tetrahedral

The carbon atom of a carbonyl group is

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Sp hybridized

Sp²hybridized

Sp³hybridized

None of these

When electrons revolve in stationary orbits

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There is no change in energy level

They vecome stationary

They are gaining kinetic energy

There is increase in energy

When cathode rays strike the anode metal X-rays are emitted and not the positive rays because

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Cathode rays are material particles

Cathode rays knock out electrons from anode, which emit X-rays when outer electron take their place

Cathode rays are absorbed by the nucleus

Cathode rays become heated

SnCI₂have ______ shape

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Planner

Tetrahedral

Angular

None

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

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4

6

7

8

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

Which of the following will have the highest boiling point?

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Methanal

Ethanal

Propanal

2-Hexanone

Which reaction yields Bakelite?

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Urea with HCHO

Tetramethyl glycol with Hezamethylene diisocyanate

Phenol and HCHO

Ethylene glycol and Dimethylterephthalate

The reaction of an alkyl halide with RCOOAg produces

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Ester

Ether

Aldehyde

Ketone

Stainless steel contains Cr upto

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12%

18%

10%

5%

The empirical formula of benzene is determined by

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IR spectra

U.V

Elemental analysis

NMR spectra

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

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Fiber

Plastic

Vanish

Polyamide resin

Choose an answer

Diastase

Lipase

Inverters

Zymase

The IUPAC name fo CH₃COCH (CH₃)₂is

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4-Methylisopropyl ketone

3-Methyl-2 butanone

Isopropylmethyl ketone

2 - Methyl- 2 butanone

The sample being analyzed is called :

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Electrolyte.

Substance.

Analyte.

All of above.

β-D-glucose is a monomer for

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Strach

Cellulose

Glycogen

Protein

Micro-nutrients are required in quantity ranging from

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4g-40g

6g-200g

6Kg-200Kg

4Kg-40Kg

The substances that are added to the soil to provide nutrient or assential elements required for plant growth, are called

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Additives

Fertilizer

Manures

Posticides

The sample being analyzed is called:

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Electrolyte

Residue

Undue

Filtrate

Free radical mechanism of halogenation of alkanes follow step:

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Initiation

Propagation

Termination

All of these

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

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Fibre

Plastic

Varnish

Polyamide resin

What is the cause of water pollution

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Chemical and bacterial contents in live stock

The spilled oil in rivers and ponds

Wide spread use of pesticides

All of the above

pH of 1 molar NaOH is

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7

zero

14

10

Hydroxyl amine is a derivative of::

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Alcohol

Aldehyde

Ammonia

Ketone

Group VI-B of transition elements contains:

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Zn, Cd, Hg

Fe ,Ru ,Os

Cr, Mo ,W

Mn, Te, Re

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

Which on of the following compounds does not exist?

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NCl₅

AsF₅

SbCl₅

PF₅

Rutherford's planetary like picture of the atomic modal was defective because

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It did not describe the quantity of positive charge

It did not explain the repulsion of protons within the nucleus

No empty space between nucleus and the electrons

Moving electron should radiate energy

The rate constant k of a reaction activation energy Ea and temperature are related by Arrhenius in the form of an equation which is

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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.

Which one of the following is the most abundant organic substance found in nature

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Fructose

Starch

Glucose

Cellulose

The velocity of photon is:

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Independent of its wavelength.

Depends on its wavelength.

Equal to square of its amplitude

Depends on its source.

Glacial Acetic acid is

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Pure acetic acid at 100°C

Acetic acid mixed with methanol

Pure acetic acid at 0°C

Pure acetic acid above 16.6°C