Question # 1

1 degree = _______

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0.00175 rad

0.175 rad

0.0175 rad

1.75 rad

If f (x) = |x|, then (0,0) is the

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Critical point

Inflection point

Stationary point

None of these

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A natural number

A rational number

An irrational number

A whole number

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

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-10

10/7

-10/7

-7/10

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 roots of the equation ax²+ bx + c = 0 are real and equal if

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b²- 4ac < 0

b²- 4ac = 0

b²- 4ac > 0

None of these

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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Closure law of addition

Closure law of multiplication

Commutative law of addition

Commutative law of multiplication

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parallel vectors

perpendicular vectors

concurrent vectors

collinear vectors

∫sin(ax+b) dx is equal to:

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1/2a cos (ax + b)

-1/a cos (ax +b)

1/a cos (ax +b)

1/a ln (ax + b)

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2 and 9

3 and 2

2/3 and 9

3/2 and 6

tan h x = _________

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y/x

x/y

y/z

None

(-28,12) divides the join of A(-6,3) and B(5,-2) in ratio

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1:2

3:2

2:3

2:1

How many arrangements of the letters of the word MI SSI PPI, taken all together can be made?

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For all points (x,y) on y-axis

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x is positive

x = 0

x is negative

y = 0

Which is in the solution set of 4x - 3y < 2

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(3, 0)

(4, 1)

(1, 3)

None

tan^-1x > cot^-1x holds for

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x > 1

x < 1

x = 1

All values of x

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an A.P.

a G.P.

a H.P.

None of these

The lines that form the cone are called its:

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Generation

Circular cone

nappes

conics

The set of integers is a subset of

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The set of natural numbers

The set of whole numbers

The set of prime numbers

The set of rational numbers

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x-axis

y-axis

z-axis

None of these

If B⊆ A, then complement of B in A is = -----------------------

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A-B

A∩B

B-A

A∪B

A kite flying at a height of 67.2 m is attached to a fully stretched string inclined at an angle of 53 to the horizontal, the length of the string

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62m

82m

73m

57m

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none of these

In (x + iy) x is the known as

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Imaginary part of complex number

Real part of complex number

Complex number

None of above

If in a set of real no a is multiplicative identity then

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a,a = a²

a,a = 1

a,a = 0

None of these

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Cos 0° = ______

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-1

0

1

Undefined

Any whole number can be written as a product of factors which are

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Even number

Odd numbers

Prime number

Rational number

The seventh term of (x3+1/x)8is

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71

-22

27

28

If (0, 0) and (-1, 0) are end points of a diameter, then the equation of the circle is

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The coefficient of xn in the expansion of (1-2x)-1 is

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(-1)n2n

2n

(-1)(n+1)xr

(n+1)2n

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

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1<x<3

x<1 and x>3

X ≥1 and x ≤ 3

-∞ < x < ∞

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Symmetric property

Cancellation property w.r.t. multiplication

Reflexive property

Transitive property

sin(180° -θ)=

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cosθ

-cosθ

Tanθ

Sinθ

If f(x) = x²then f(2) is

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-2

2

4

-4

The sum of co-efficient in (1+x-3x²)⁴¹⁶³is

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0

1

-1

None

One second is denoted by

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1⁰

1'

1"

1 rad

The distance between two points P(x₁, y₁) and Q (x₂, y₂) is

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Ifπ≤x≤2π, then cos-1 (cos x)=

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cos x

-x

1/x

-x

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0

1

The solution set of trigonometric equation contains

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one element

two elements

three elements

Infinite elements

The solution set of x²- 5x + 6 = 0 is

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{1, 3}

{2, 3}

{1, 2}

None of these

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Reflexive property

Symmetric property

Transitive property

Additive property

(0,1) is in the solution of the inequality

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3x + 2y > 8

2x - 3y < 4

2x + 3y > 5

x -2y < -5

E-radius corresponding to < B is

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The angle between the vectors u = [-3 , 5] and v = [6 , -2] is:

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π/2

-3π/2

π

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

Which conjunction is not true ?

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a + x is ______

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A trinomial

A binomial

A monomial

None of these

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3

1

4

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Period of cos 2x is ______

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3.5+5.4=5.4+3.5 =8.9 this property of addition is called

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additive identity

assoclative property

commulative property

closure property

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

If the angle between two vectors with magnitude 6 and 2 is 60° when their scalar product is

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12

6

3

0

The set X is

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Proper Subset of X

Not A subset of X

Improper Subset of X

None of these

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a = 2, b = 3

a = 3, b = 2

a = 2, b = 1, 2

a = 3, b = 3

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A

B

A'B'

B'A

Let A be a square matrix. Then, 1/2 (A-A') is

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Skew-symmetric

Symmetric

Null

None of the above

2π+θwill have terminal side in Quad

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I

II

III

IV

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4(x³- 3x²)³+ c

3x²- 6x + c

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Singleton set

A set with two points

Empty set

None of these

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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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If (x₁, y₁) and (x₂,y₂) are the end points of a diameter then the centre of the circle is

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If | x | < 1, then the first two terms of (1 - x)^1/2are

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if A = (x/x€ Q˄ 0 < x < 1}, the A is

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Infinite set

Finite set

Set of rational numbers

Set of real numbers

If a = [1,4,3] and B= [2,-1,5] athen the mid point M of AB is:

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[1,1,1.5]

[2,2,1.5]

[1.5,1.5,4]

None of these

A card is drawn from a pack of cards numbered 1 to 52, the probability that the number on the card is a perfect square is

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1/13

2/13

7/52

None of these

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Principle of equality of fractions

Rule for product of fractions

Golden rule for fractions

Rule for quotient of fractions

The domain of the principal tan function is

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cos(π/2-θ) = ________;

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cosθ

sinθ

-cosθ

-sinθ

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z is purely imaginary

a is any complex number

z is real

None of these

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n different objects can be arranged taken all at a time in ______

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(n + 1)! ways

(n - 1)! ways

n! ways

n ways

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all are correct

If Sin A = sin B, cos A = cos B, then the value of A in terms of B is

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If in the expansion of (1+x)ⁿ, co-efficients of 2nd, 3rd and 4th terms are in A.P., then x=

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4

5

6

7

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A = x, B = 1

A = 0, B = 2

A = -1, B = 1

A = x-1, B = x + 1

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An integral of 1/x dx is:

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1/x²

1/-x²

1/lnx

lnx

The range of the principle cos function is

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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

If y=f(x) is a function then y is called

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dependent variable

independent variable

constant

none of these

x = r2, y = 1 are the parametric equation of

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Circle

Hyperbola

Ellipse

Parabola

If p, q, r and in A.P., a is G.M. between p and q and b is G.M. between q and r, then a², q², b²are in

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A.P.

G.P.

H.P.

None of these

(x + 3) (x + 4) = x²+ 7x + 12 is ______

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Quadratic equation

Linear equation

Cubic equation

Identity

Domain of cosecθis

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If eccentricity of ellipse becomes zero then it takes the form of

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A parabola

A circle

A straight line

None of these

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

The quantum number which describe the orientation of the orbitals is

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Spin quantum number

Principle quantum number

Azimathal quantum number

Magnetic quantum number

An organic compound will decolorise dill acidified (aq) KMnO₄on warming, but will not decolorise bromine water. What is the compound

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KMnO₄

Ethanol

Ethane

CH₃CH₂Cl

The percentage of nitrogen in ammonia is

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80%

82%

90%

50%

Choose an answer

Shift reaction toward forward direction

Shift reaction backward

Lower the value of K_c

No change in reaction

If Grignard reagent is allowed to react with another alkyl halide the main product is

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An alkane

Cyclo alkane

Alkyne

An alkene

Ammonia contains nitrogen in it:

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46%

50%

80%

82%

Which of the following molecules has zero dipole moment>

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NH₃

CHCl₃

H₂O

BF₃

The number of atoms present in molecule determines its:

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Molecularity

Atomicity

Basicity

Acidity

Which for the following has no dipole moment

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HCI

H₂S

H₂O

CO₂

Bessemer converter is used in the manufacture of

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Pig iron

Steel

Wrought iron

Cast iron

The bond angle H - O - H in ice ins closest to

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120° , 28^'

60°

90°

109°

Identify the hydrocarbon formed, when ethyl bromide reacts with, alcoholic KOH at 100°

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Methane

Ethane

Ethene

Ethyne

Which one of the following is not an alkali metal

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Francium

Caesium

Rubidium

Radium

Phenol is heated with CCl₄and alkaline KOH when salicylic acid is produced.The reaction is known as

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Frledel-Craft reaction

Riemer-Tiemann's reaction

Rosenmund's reaction

Sommelet reaction

The raw material to form nylon is

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Adipic acid

Butadiene

Isoprene

Ethylene

The electron affinity of chlorine may be represented by the equation

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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

Coordination number of Pt in [PtCI(NO₂) (NH₃)₄]²⁺is

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2-

4

1

6

Which one of the following substance is use as decolonizing agent

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Asbestos

Animal charcoal

conc, H₂SO₄

Silica gel

Metal used in the preparation of Grignard's reagent is:

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Ca

Na

Mg

Zn

Acetic acid is manufactured by:

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Distillation

Fermentation

Ozonolysis

Esterification

Polyanion formation is maximum in

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Nitrogen

Oxygen

Sulphur

Boron

At room temperature formaldehyde is

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Gas

Liquid

Solid

None of the above

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Aqueous bromine

Dilute HNO₃

Dilute HCI

CH₃COCI

Phosphine is not obtained by the reaction when

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White P is heated with NaOH

Red P is heated with NaOH

Ca₂P₂reacts with water

PH₄l is boiled with water

Natural fertilizers are materials derived from

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Plants only

Animals only

Both plants and animals

None of these

The amount of heat required to convert one mole of solid directly into its vapour state at STP is called as

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Molar heat of vaporization

Standard heat of vaporization

Heat of reaction

Heat of neutralization

Spraying of DDT produces pollution of

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Air

Air and water

Air and soil

Air, water and soil

Which one of the followings is a heterocyclic compound

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Cyclohexanol

Phenol

Pyridine

Anthracene

The molarity of the solution containing x grams (NH₄)₂SO₄in 500 cm³of the solution is 0.6 what is x

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39.6

45.1

40.5

42.7

Which of the following equations represents the action of heat on NaHCO₃

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

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Formation of an ester

Protonation of alcohol molecule

Formation of carbocation

Elimination of water

pKb value of NH₄OH is 4.74. If the concentration of NH₄OH is 1 molar containing 0.1 molar NH₄Cl, then pH of this buffer will be

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3.74

10.26

4.74

9.26

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

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Hypophosphorus acid

Orthophosphorus acid

Pyrophosphorus acid

Metaphosphorus acid

Oleum is

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Castor oil

Oil of vitriol

Fuming of H₂SO₄

None of them

Acetaldehyde is used to make

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Rubbber

Antiseptics

Phenolic resin

All of these

Copolymer is

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Nylon-6

Nylon 66

PMMA

Polyethene

Inn which of these processes are small organic molecules made into macromolecules?

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The cracking of petroleum fractions

The fractional distilation of crude oil

the polymerization of ethane

The hydrolysis of proteins

The human body can synthesize ______ amino acids

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1

10

20

19

Tertiary alkyl halides are practically inert to substitution by S_N2 mechanism because of

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Onsolubility

Instability

Inductive effect

Steric hindrance

NaHCO₃is commonly called

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Soda ash

Baking soda

Washing soda

None of these

Detergents are

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Synthetic products

Natural products

Both (a) and (b)

None of these

Which of the following molecules have sp³hybridized carbon

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CH₄

C₂H₄

C₂H₂

CO₂

Mild oxidation of glycerol with H₂O₂/FeSO₄gives

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Glyceraldehyde

Dihydroxy acetone

Glycerose

None

General formula of aliphatic carboxylic acids:

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R---OH

R----COH

R----CO---R

RCOOH

Hydrolytic coversion of sucrose into glucose and fructose is known as

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Induction

Inversion

Insertion

Inhibition

The number of paper industries in Pakistan are

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30

25

35

20

Choose an answer

Br_2(aq)

2, 4-dinitrophenylhydrazine

NaBH

Tollen's reagent

Benzene does not undergo polymerization and it is also resistant to

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Reduction

Oxidation

Alkylation

Ozonolysis

An aqueous solution is neutral when its

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pH = 14

pH = zero

pH = 7

Kw = 10^-7

Objects of the size of an atom can be observed in

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An electron microscope

An x-ray spectrum

Atomic absorption spectrum

A visible spectrum

Variable valency is generally exhibited by

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Normal elements

Transition elements

Metallic elements

None of these

Monocarboxylic acids exist as dimer because of

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Dipole-dipole attraction

Hydrogen bonding

Van der Waals forces

Conhesive forces

The method used only for the production of symmetrical alkanes

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Kolb's method

Clemmenen

Cannizzaro

Wolf kishner

Which of the following contains single bonds

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Benzene

Alkyne

Alkene

Alkane

Which bond shows maximum hydrogen bonding with water?

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CH₃OH

C₂H₅OH

CH₃----O----CH₃

C₆H₅OH

The driving force for making a bond is

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To attain noble gas electronic configuration

To make soled compounds

To make different compounds

To make gaseous substances

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84.84 %

89.89%

81.81%

90.90%

The measurement of degree of disorder is

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Internal energy

Enthalpy

Entropy

None

Solvent extraction is an equilibrium process and it is controlled by :

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law of mass action.

the amount of solvent used.

distribution law.

the amount of solute.

Which is used as an antifreeze?

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Glycol

Ethyl alcohol

Water

Methanol

Caustic soda is obtained by electrolysis of conc. aqueous solution of NaCI in a cell called

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Daniell's cell

Nelson's cell

Down's cell

Voltaic cell

Most reactive halide towards S_N1 reaction is

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n-Butyl chloride

sec-Butyl chloride

tert-Butyl choride

Allyl chloride

The value of R (Rydberg's constant) is _______ m-1

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1.0974 x 107

1.0842 x 107

1.082 x 10-7

Both a and b

In which of the following cases, the reaction goes farthest to completion

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K = 10³

K = 10^-2

K = 10

K = 10⁰

Each of the following is true of white and red phosphours except that they

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Are both soluble in CS₂

Can be oxidized by heating in air

Consist of the same kind of atoms

Can be converted into one another

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

Reduction of aldehydes with HI and P gives

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Primary alcohols

Secondary alcohols

Alkanes

Tertiary alcohols

Which one of the following reactions is not spontaneous

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Which of the following species has unpaired electrons in ant-bonding molecular orbitals?

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O2⁺²

N2^-2

B₂

F₂

The geometrical shape of a transition complexion is related to the state of hybridizing of the central atom. What is trigonal bipyramidal

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sp³

dsp²

dsp³

d²sp³

NH₃, HCL, H₂O, HL are:

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Diatomic molecules

Poly-atomic molecules

Mono-atomic molecules

Hetero atomic molecules

Which is not a fossil fuel

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Petroleum

Coal

Natural gas

None of them

Micro-nutrients are required in quantity ranging form:

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4g-40g

6g-200g

6kg- 200 kg

4kg- 40kg

The active part in a molecule is called

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Hetroatom

Functional group

Chemical bond

Ion

It rate law of an equation is written asdx/dt=K[A][B] ?

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Reaction is independent of the concentration of A and B.

Product is decreasing with passage of time.

Reactant in increasing with passage of time.

Reactant is increasing with passage of time.

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 solubility of a gas in water depends upon

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Nature of the gas

Temperature

Pressure of the gas

All of the above

When two hydrogen atoms approach to form a chemical bond

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The repulsive forces dominate the attractive forces

The attractive forces, dominate the repulsive forces

The energy of atoms increases

The two atoms start ionization

If the difference of pKa values of the two acids is 2, then

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Acid with smaller pKa is 10 times stronger acid

Acid with greater pKa is 10 times stronger acid

Acid with smaller pKa is 100 times stronger acid

Acid with greater pKa is 100 times stronger acid

Electron affinity of sulphur is

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More than O and Se

More than O but less than Se

Less than O but more than Se

Equal to O and Se

The concentration units independent of temperature would be

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Normality

Mass-volume precent

Molality

Molarity

The covalent radius of Cl atom is:

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99.4 pm.

176.7 pm

38 pm

76 pm.

In formadaldehyde and KOH are heated then we get

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Acetylene

Methane

Methyl alcohol

Ethyl formate

Direct conversion of solid into vapors is called :

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Crystallization

Sublimation

Obligation

Vaporization.

Glass calorimeter reaction is one which we measure

Choose an answer

Enthalpy of combustion

Enthalpy of reaction

Pressure volume work

None of above

In zero order reaction, the rate is independent of :

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Temperature of reaction

Concentration ofreactants

Concentration of products

None of these.

Which of the following chlorocompounds is heat easily hydrolysed by hydorxide ion to give the product indicated

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The filtration process is used to to separate solid from :

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Liquid.

Gas.

Solid.

All of above.

A compound A has a molecular formula C₂Cl₃OH. It reduces Fehling solution and on oxidation produces a monocarboxylic acid B.A can also be obtained by the action of Cl₂on Ethanol. A is

Choose an answer

Chloral hydrate

CHCl₃

CH₃Cl

Chloroacetic acid

If 5.85 g of NaCl are dissolved in 90 g of water, the mole fraction of NaCl is

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0.1

0.01

0.2

0.0196

What is the structure of the ester formed from propanoic acid and ethanol

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The acid present in vinegar is

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CH₃COOH

HCI

H₂SO₄

HCOOH

The configuration 1s²2s²2p⁵3s¹shows

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Excited state of O₂

Excited state of neon

Excited state of fluorine

Ground state of fluorine atom

The value of charge on electron is

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1.602 x 10^-19coulombs

1.602 x 10^-18coulombs

1.602 x 10^-17coulombs

1.602 x 10^-16coulombs

Alkaline earth metals posses two electrons in their outermost

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F-orbital

D-orbital

S-orbital

P-orbital

Sintered glass is a porous material use for :

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Absorpton

Decoration.

Filtration.

All of above.

1-Chlorobutane on reaction with alcoholic potash gives

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But 1-ene

Butan-1-ol

But-2-ene

Butan-2-ol

As the nuclear charge increases, the pull on the electrons is increased and size of an atom:

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Decreases.

Remain same.

Increases.

Is negligible.

Which of the following expressions show a heterolytic bond fission