Question # 1

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

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a geometric sec

an arithmetric series

finite sequence

an infinite sequece

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5

15

10

20

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

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3a2

2a2

2a

-7a

If y = 2x , then

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y1 -ln2y = 0

y2-(ln2)2 y = 0

y2-(ln2)y1 = 0

All are correct

∀ a ε R ∃ o ε R such that a + v = 0 + a = a is property of

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Commutative law of addition

Associative law of addition

Additive identity

Additive inverse

Ifπ≤x≤2π, then cos-1 (cos x)=

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cos x

-x

1/x

-x

Sin 90° = ______

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-1

0

1

Undefined

y=-a is the equation of the directrix of

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y2 =4ax

x2=-4ay

x2=4ay

y2=-4ax

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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)

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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The line y =mx +1 is tangent to the parabola y2 =4x if

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m=1

m=2

m=3

m=4

Sand falls from a tube in such a way that it forms a cone whose height is always 4/3 times the radius of its base and radius of the base increases at the rate of 1/8 cm/sec. When this radius is 1 meter, the rate at which the amount of sand increases is

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1

0

-2

3

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

If a polynomial p(x) is divided by x-c, then the remainder is

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p(x)

x-c

c

P(c)

Which conjunction is not true ?

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Which of the following is skew symmetric matrix

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Fifteen girls compete in a race. The first three places can be taken by them in

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3! ways

12! ways

15 x 14 x 13 ways

42 ways

(2 + w) (2 + w²) = ______

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1

2

3

0

The probability that a person A will be alive 15 years hence is 5/7 and the probability that another person B will be alive 15 years hence is 7/9. Find the probability that both will be alive 15 years hence

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4/63

5/9

45/49

None of these

The graph of a quadratic function is

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Circle

Ellipse

Parabola

Hexagon

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(0.90)^1/2is equal to

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0.99

0.90

0.80

0.88

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tan (-135°) = ______θ

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0

1

2

3

n(n - 1) (n - 2) in factorial form is

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3/4

r

v

None of these

The graph of a quadratic function is

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Circle

Straight line

Parabola

Triangle

sin h x = ___________

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Derivative of strictly increasing function is always

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Zero

Positive

Negative

Both (A) and (B)

A function in which the second elements of the order pairs are distinct is called

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Onto function

One-one function

Identity function

Inverse function

If cosα= 4/5, then cosα/2

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Which of the following is a vector.

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work

time

density

electric field

The period of the function f(x) = sin⁴x + cos⁴x is

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π

π/2

2π

None of these

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0

1

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The sum of n terms of a series is denoted by

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d

n

S_n

a_n

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

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a = 2

b = 2

a = b

a = 4

1,1/3,1/5,1/7,1/9..... is a

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geometric sequence

finite sequence

infinite sequence

arithmetic series

Name the property used in 1000 x 1 = 1000

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additive inverse

multiplicative inverse

additive identity

multiplicative identity

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A finite non-empty set

Null set

Both a and b

None of these

Φ set is the _______ of all sets

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Subset

Union

Universal

Intersection

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The set of ordered pairs (x,y) such that ax+ by < c, and (x,y) such that ax + by>0, are called

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Linear Inequalities

Feasible regions

Half planes

Boundary

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1

-1

0

None of these

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

a.a^-1 = a^-1.a = 1 is a

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Commutative law of multiplication

Multiplicative identity

Associative law of multiplication

Multiplicative inverse

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a f(x) + c

f(x) + a

The period of 3 sin x is

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2π

9π

3π

5π

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0

1

-1

2

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none of these

x⁴- 3x³+ 3x + 1 = 0 is called ______

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Reciprocal equation

Exponential equation

Radical equation

None of these

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π/ 2

π/ 3

π/ 4

π

sin (α+β) + sin (α-β)

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2 sinαcosβ

sin (2αβ)

sinαcosα

None of these

The angle between the vectors 3i + j - k and 2i - j + k is

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No solution

One real solution

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domain

range

solution

none of these

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5

20

9

4

The points A(+1,-1),B(3,0),C(3,7),D(1,8) are vertices of

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Square

Parallelogram

Rectangle

Trapezium

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The equations of the line thro' the point (2, 3, -5) and equally inclined to the axis are

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Every relation, which can be represented by a linear equation in two variables, represents a

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Relation

Cartesian product

Function

Graph

The equation of the parabola with directirx x = 2 and the axis y = 0 is

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y²= 8x

y²= -8x

y²= 4x

y²= -4x

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Square matrix

Row matrix

Symmetric matrix

Null matrix

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The set {x +iy / x, y ∈ Q} forms a group under the binary operation of

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Addition

Multiplication

Division

Both addition and multiplication

The law of sines can be used to solve

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Right angle triangle

Isosceles triangle

oblique triangle

haxagon

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

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The square matrix A is skew Hermitian when (A)'=

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A

A'

-A

A

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

(x-1) is a factor of

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2x³-3x²+9

2x³-5x-8

48x^2-46x-9

x⁹-1

Every identity matrix is

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Row-vector

Scalar

Column-vector

All

The set R is ______ w.r.t subtraction

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Not a group

A group

No conclusion drawn

Non commutative group

A prime number can be a factor of a square only if it occurs in the square at least

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Once

Thirce

Twice

None of these

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The position vector of a point (x, y) in xy plane is

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none of these

The point of concurrency of the medians of the ΔABC is called its

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Orthocenter

Centriod

Circumcentre

Incentre

In one hour the minute hand of a clock turns through

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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

If y = eax sin bx and y2 - 2ay1 + (a2+b2) y=0 the for what values of a and b we have y2+10y1+34y =0

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a = -10,b=34

a=-5,b=3

a=5,b=3

a=10,b=34

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Period of cot x is ______

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graph of trigonometric function y = sec x does not meet

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x - axis

y -axis

both axis

None of these

The coordinates of the point that divides the join of A(-6,3) and B(5, -2) in the ratio 2:3 externally are

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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

The period of cos(7x-5) is

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π/7

7π/2

π/2

2π/7

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Naphthalene, iodine and NH_{4 can :}

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Sublime.

Both (a) and (c).

Crystallize.

None of above.

Which is the transition element among the following

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B

Al

Cu

Cs

Ketons are prepared by the oxidation of

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Primary alcohol

Secondary alcohol

Tertiary alcohol

None of these

The general formula of alkane is

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C_nH_2n+2

C_nH_n

C_nH_2n

C₂H_2n-1

Which bond shows maximum hydrogen bonding with water?

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CH₃OH

C₂H₅OH

CH₃----O----CH₃

C₆H₅OH

The atomic number of an element is 35 what is the total number of electrons present in all the p-orbitals of the ground state atom of that element?

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6

11

17

23

The steroids of fungi and yeast are called:

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Vitamin D

Vitamin D₂

Ergosterol

Cholestorl

Which of the following is complex?

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CaSO₄. 0.5H₂O

(C₆H₁₀O₅)_n

C₆H₁₂O₆

CH₄

Which of the following is a polar molecules

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Carbon dioxide

Carbon tetrachloride

Methanol

Ethane

Which is used as a coagulant:

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Ferric Salts

Potash alum

a and b both

Chlorine

The colour of transition metal complexes is due to

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d-d transitions of electrons

Para magnetic nature of transition elements

Ionization

Loss of s-electrons

Antibonding MO is formed by

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Addition of atomic orbitals

Substraction of atomic orbitals

Multiplication of atomic orbitals

None of these

To determine the rate of reaction chemically a graphical method is applied. A graph is plotted between the amount or reactant decomposed or product formed against the time. The rate d_x/d_tat any time is equal to

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k

Tangentθ

1/a, a is initial conc.

1/a²

Among the following the most reactive towards alcoholic KOH is

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CH₂= CHBr

CH₃COCH₂CH₂Br

CH₃CH₂Br

CH₃CH₂CH₂Br

Pakistan in the beginning was a country :

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Industrial

Chemical

Agrarian

Technologies

Depletion of ozone layer is due to

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Oxides of nitrogen

Oxides of carbon

Oxides of sulphur

None of the above

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

Micro-nutrients are required in quantity ranging from

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4g-40g

6g-200g

6Kg-200Kg

4Kg-40Kg

Isotopes differ in

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properties which depend upon mass

arrangement of electrons in orbitals

chemical properties

the extent to which they may be affected in electric fields

When rate of forward reaction is equal to rate of backward reaction, then the equilibrium established is called

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Chemical equilibrium

Static equilibrium

Dynamic equilibrium

None of these

The formation of PVC from vinyl chloride is an example of

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Substitution reaction

Addition polymerization

Condensation polymerization

Condensation reaction

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Reaction occurs at STP

Reaction is exothermic

Reaction is endothermic

Number of moles of production and reactant are same

When electricity is passed through molten electrolyte consisting of alumina and cryolite, 13.5 g of Al are deposited. The number of faradays of electricity passed must be

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2.0

1.5

1.0

0.5

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450°C

250°C

850°C

1000°C

The sum of mole fractions (X) of components of solution is equal to

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100

200

One

Zero

Grignard's reagent on treatment with carbonyl compounds yield

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Pheonol

Alcohol

Alkane

None of these

The addition of unsymmetrical reagent to an unsymmetrical alkene is in accordance with

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Hund's rule

Markownikov's rule

Pauli's Exclusion principle

Auf ban principle

denaturing of alcohol is done by adding methanol in ethanol:

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10%

20%

30%

40%

The radius of second Bohr's orbit is

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0.053 nm

0.053/4 nm

0.053 x 4 nm

0.053 x 20 nm

Taste of lower alcohols is:

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Sweet

Bitter

Our

Salty

The filtration process is used to separate solid from

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Liquid

Gas

Solid

All of above

Which of the following acid can be used as a catalyst in Friedal Craft's reactions

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AlCl₃

HNO₃

BeCl₂

NaCl

The spectrum of He is expected to be similar to that of

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H

Na

He⁺

Li⁺

The order of dehydration of alcohol

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10> 20> 30

10> 30> 20

20> 30> 10

30> 20> 10

When alkyl is treated with chlorine in the presence of sunlight

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1,3 dichloroproduct is formed

1,4 dichloro product is formed

1,3,5 trichloro product is formed

Only alkyl group is substituted

Which of the following represents elements in order of increasing atomic size?

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I, Br, Cl

Na, Mg, C

C, N, O

Li, Na, K

Platinum is poisoned by

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Arsenic

Silver

Argon

Zinc

During a chemical reaction heat may be

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absorbed

Evolved

Both evolved and absorbed

None of these

Purification of an impure copper is made by electrolytic cell, in which impure copper is anode and pure copper is cathode, and the electrolyte used is

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H₂SO₄

CuSO₄

ZnSO₄

Na₂SO₄

Pb has inert pair of electrons:

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One

Two

Three

Four

Hydrolysis of protein by 6M HCl gives peptides and thenα-amino acids. How manyα-amino acids molecules are obtained on the hydrolysis of a tetrapeptide

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2

3

4

5

Which of the element is not alkali metal

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Lithium

Rubidium

Francium

Magnesium

Methanol is prepared from CO and H_{2 using catalyst:}

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ZnO

Cr₂O₃

Pt

Ni

F₂, Cl₂, Br₂and l₂lie below SHE is the Electro chemical series that is why these

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Undergo reduction

Undergo oxidation

Liberate H₂gas with steam

None of these

Enzymes, in the living systems

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Provide energy

Provide immunity

Transport oxygen

Catalyze biochemical processes

α-Amino acids are found in protein. Which of the following is anα-amino acid

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Fossil fuels consist of :

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Coal

Natural gas

Petroleum

All of these

A molecule in which sp²hybrid orbitals are used by the central atom in forming covalent bonds in

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He₂

SO₂

PCl₅

N₂

The rate equation for a reaction is Rate =k[A]. what are unit of K ?

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Mole-1 dm³ S^-1

Mole dm³ S^-1

Moledm³

S^-1

The experimental relationship between a reaction rate and the concentration of reactants is called

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Order or reaction

Rate law

Activated complex

Molecularity

Which of the following compounds on oxidation gives benzoic acid?

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Chlorophenol

Chlorotoluene

Chlorobenzene

Benzyl chloride

Bakelite is obtained from phenol by reacting with

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Acetaldehyde

Acetal

Formaldehyde

Chlorobenzene

A cell constant is generally found by measuring the conductivity of aqueous solution of

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BaCl₂

KCl

NaCl

MgCl₂

Primary alcohols and aldehydes are oxidized to corresponding:

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alkanes

alkenes

Alkynes

Carboxylic Acid

The sum of mole percent of all the components of solution is always equal to :

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Less than 100

One

100

10

An oil or fat with no double bond have iodine number:

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Zero

100%

50%

Minimum

According to Le-Chatelier's principal, adding heat to a solid and liquid in equilibrium will cause the

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Amount of solid to decrease

Amount of liquid to decrease

Temperature to rise

Temperature to fall

When of the following is isolelectronic with krypton

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Ca⁺⁺

Al⁺⁺⁺

Br^-1

I^-1

The molarity of toluene solution in benzene is 0.22 if 5 grams of toluene dissolved, then mass of benzene is grams is

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267

260

240

247

When sodium metal reacts with alcohols

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Hydrogen gas evolves

Sodium hydroxide is obtained

Alcohol is reduced

Alcohol is polymerised

How many isomeric disubtituted products are obtained by the introducing of second group in the ring

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Two

Three

Four

None

Ketones are reduced to

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Primary alcohol

Secondary alcohol

Tertiary alcohol

All of these

Which one of the following is not a nucleophile

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H₂O

H₂S

BF₃

NH₃

BOD is

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Biological oxygen deficit

Biosphere oxygen demand

Biological oxygen demand

None of the above

Forms of waste products :

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Heat

Smoke

Solid

All of these

The correct arrangement of increasing order of atomic radius among Na, K, Mg, Rb is

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Mg < K < Na < Rb

Mg < Na < K < Rb

Mg < Na < Rb < K

Na < K < Rb < Mg

The method in which alkanes prepared by alkyle halides in the presence of palladium - charcoal is

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Hydrolysis

Electrolysis

Hydrogenation

Hydrogenolysis

The tendency of an atom to attract shared electron pair towards itself is called

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Covelent bond

Electronegativity

Ionization potential

Electronic affinity

K_avalue of HF acid is 6.7 x 10^-15the acid is a

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Weak acid

Moderately strong acid

Strong acid

Very weak acid

The polymers which can be re-softened again and again are caled

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Thermoplastic

Thermosetting

Both a and b

None

Which substances haveΔH =ΔE

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Solids

Liquids

Gases

Liquids and solids

An electric current is passed through silver nitrate solution using silver electrodes.10.79 g of silver was found to be deposited on the cathode if the same amount of electricity is passed through copper sulphate solution using copper electrodes, the weight of copper deposited on the cathode is

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6.4 g

2.3 g

128.8 g

3.2 g

Chlorobenzene on heating with aqueous NH₃under pressure in the presence of cuprous chloride gives

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Benzamide

Nitrobenzene

Aniline

Chloroaminobenzene

What mass of NaOH is required to prepare 2.5 dm³of 1.5 M NaOH solution

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130 g

140 g

150 g

160 g

The voltaic or galvanic cells which cannot be recharged are called

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Primary cells

Secondary cells

Infinite cells

Fuel cells

Which of the following species has the highest ionization potential?

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Ne

Al⁺

Mg⁺

Li⁺

Rearrangement of an oxime to an amide in the presence of strong acid is called

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Curtius rearrangement

Fries rearrangement

Beckman rearrangement

Aldol condensation

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

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Primary

Secondary

Territory

Aromatic

The pressure of vapours when sent to the ionization chamber in mass spectrometer is

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10^-5to 10^-6torr

10^-6to 10^-7torr

10^-7to 10^-8torr

10^-3to 10^-4torr

Dehydration of ethyl alcohol yields

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Aldehyde

Ketone

Acid

Alkene

Hydrochloric acid available in the laboratory is 36% w/w. The density of HCl solution is 1.19 g cm^-3. The molarity of HCl solution is

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10.23 moles dm^-3

11.55 moles dm^-3

11.73 moles dm^-3

12.67 moles dm^-3

Which of the following reagents is used to distinguish acetone and acetophenone

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NaHSO₃

Grinard reagent

Na₂SO₄

NH₄Cl

CsF is an ionic compound because:

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High I.P of Cs and high E.A of F.

High I.P of Cs and low E.A of F.

Low I.P of Cs and high E.A of F.

Low I.P of Cs and low E.A of F.

Which is not a steroid

Choose an answer

Cholesterol

Ergosterol

Phospholipids

None of these

A carboxylic acid contains:

Choose an answer

A hydroxyl group

A carboxyl group

A hydroxyle & carboxyl group

A carboxyl &aldehyde group

The color of ppts formed by Benedirct's test is

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Brick red

Wine red

Yellow

Orange

During the formation of a chemical bond the potential energy of the system

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Decreases

Increases

Does not change

None of these

Sulphur dioxide affects

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Cell wall

Plasmodesmata

All membrane systems

Nucleus

In a heterollytic bond fission reaction

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A molecule of H₂O is formed

A molecule of H₂O is eliminated

A free radical is formed

A positive and a negative ion is formed

Which is non typical transition element :

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Ni

Co

Y

Fe

Which of the following (1 M) conducts more electricity?

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Sulphuric acid

Boric acid

Nitric acid

Phosphorus acid

A solution having pH = 4 its OH^-ion concentration in mole dm^-3is

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1.0 x 10^-4

1.0 x 10^-10

1.0 x 10^-14

1 x 10⁰

Which of the following process is employed to convert alkyl halide into alcohol?

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Addition

Substitution

Dehydrohalogenation

Molecular rearrangement

The overlapping of two partially filled atomic orbital is in such a way that the probability of finding the electron pair is maximum along the axis joining the two nuclei, the bond is

Choose an answer

Sigma bond

Pi bond

Ionic bond

Non-polar bond

What will react differently with the two isomeric pentols, (CH₃)₃CCH₂OH and (CH₃)₂CH CH₂CH₂OH

Choose an answer

Acidified (aq) KMnO₄

Concentrated H₂SO₄

PCl

Sodium

Splitting of spectral lines when atoms are subjected to strong electric field is called:

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Zeeman effect.

Stark effect

Photoelectric effect.

Compton effect.

Which element among the following belongs to Group IV-A of the periodic table?

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Barium

Iodine

Lead

Oxygen

Charge on electron was discovered by:

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Millikan.

Crook.

Neil Bohr.

Rutherford.

The measurement of degree of disorder is

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Internal energy

Enthalpy

Entropy

None

In an ooctahedral crystal field splitting, the number of orbitals pushed down in energy is

Choose an answer

3

2

5

Zero

Borax is a common mineral of alkali metal sodium. Its formula is

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Na₂B₄O₇

Na₂,B₄O₇. 10H₂O

Na₂B₃O₆. 10H₂O

Na₂B₄O₇- 5H₂O