Question # 1

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(x + 2)²= x²+ 4x + 4 is

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A linear equation

A cubic equation

A quadratic equation

None

The consecutive terms of a progressions are 30, 24, 20. The next term of the progression is

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Which of the following is a scalar.

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electric field

magnetic field

weight

mass

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Closure law of addition

Associative law of addition

Additive inverse

Additive identity

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The magnitude of vector a 2i-7j is

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√23

√43

3

√53

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

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(1,0)

(0,-1)

(0,1)

(-1,0)

How many necklaces can be made from 6 beads of different colours?

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120

60

24

15

IfΔABC is right, law of cosine reduce to

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Law of sine

Law of tangent

Phthogorous theorem

Hero's formula

5 unbiased coins coins are tossed simultaneously. The probability of getting at least one head is

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1 / 32

31 / 32

1 / 16

None of these

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

The range of the tangent function is

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all real numbers

-1 ≤ x ≥ 1

natural number

z⁺

If order of A is m x n, then order of A^tis

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m x m

n x n

m x n

n x m

The directrix of y2 =-4ax is

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y =-a

y = a

x = a

x = -a

30° = ______

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The series obtained by adding the terms of an arithmetic sequence is called the

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Infinite series

Harmonic series

Geometric series

Arithmetic series

Cosec 60° = ______

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Two circle s1: x2+ y2 +2x- 2y- 7= 0: s2: x2+ y2- 6x+ 4y+ 9= 0

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Touch externally

Touch internally

Intersects each other

Do not intersects

If x³- x²+ 5x+ 4 is divided by x - 2, then the reminder is

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0

2

18

14

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none of these

The roots of the equation 4x - 3.2x+2 + 32 = 0 would include

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1 and 3

1 and 4

1 and 2

2 and 3

The graph of y> 0 is the upper - half of:

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y-axis

x-axis

1st and 4th quandrant

2nd and 3rd quadrant

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

The set { {a,b} } is

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Infinite set

Singleton set

Two points set

Empty set

(√3+√5)+√7 = √3 +(√5 +√7) property used in above is

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Commutative property of addition

Closure property of addition

Additive inverse

Associative property w.r.t to adition

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None of these

If n∈Z+ then(a+x)n is a/an

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Finite series

Convergent series

Infinite series

Divergent series

f(x) = 3x⁴ -2x² + 7 is:

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an even function

an odd function

an even and implicit function

neither even nor a odd

The maximum value of the quadratic function f(x) = -2x2+20x,is

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4

3

50

7

If u = 2ai + i - k and v = i +ai + 4k are perpendicular then a =

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4

1/2

3

4/3

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If sin x + sin²x = 1, then the value of Cos¹²x + 3cos¹⁰x + 3cos⁸x + cos⁶x + 2 cos⁴x + cos²x-2 is equal to

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0

1

2

sin²x

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

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Relation

Cartesian product

Function

Graph

Which one is quadrantal angle

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8181710°

2345°

-8181180°

-2344°

Period of cosec x is ______

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π is the ration of

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Area of a circle to its diameter

Area of a circle to its radius

Circumference of a circle to its diameter

Circumference of circle to its radius

In natural logarithm the base is

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1

0

10

e

θ and 2kπ+θ are the ________ angles

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Quadrantal angles

Coterminal

Allied

None

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Cos 2x = sin 4y

Cos 4y = cos 2x

Cos 3y = sin 4x

None of these

Both the roots of the equation (x -b) (x - c ) + (x -c) (x-a) +(x-a) (x-b) = 0 are always

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Positive

Negative

Real

None of these

sin5θ+sin3θ = _______;

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2sin 4θ cosθ

2cos 4θ sinθ

2cos 4θ cosθ

-2sin 4θ sinθ

Sum of first n terms of an arithmetic series is

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Range if y = cos x is

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-1≤ y≤ 1

-1 < y < 1

-∞ < x < +∞

None of these

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8

9

10

11

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0

1

13

One minute is denoted by

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1⁰

1'

1"

None of these

Cos^-1 12/13 =

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tan^-1 3/5

cot^-1 13/12

Sec^-1 13/12

sin^-1 5/13

In quadratic equation y=ax³+bx+c, if b and c are both zero then the graph is

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Symmetric w.r.t.y-axis

Symmetric w.r.t.x-axis

Straight Line

Circle

The corner point of the boundary lines, x- 2x

x+2y=10 is:

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(8,1)

(1,8)

(6,10)

(3,5)

Considering Cosine Rule of any triangle ABC, possible measures of angle A includes

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Angle A is obtuse

Angle A is acute

Angle A is right-angle

All of above

If the matrices A and B are conformable for multiplication then (AB)^t= ______

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AB

A^tB^t

B^tA^t

A^tB

If a₁and r are the first term and the common ratio respectively then (n + 1)th term of the G.P. is

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0

a₁r^n-1

a₁rⁿ⁺¹

a₁rⁿ

If 4 sin²θ=1, then values ofθare

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π / 3

π / 4

π / 2

π

If S is a sample space and event set E = S then P(E) is

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>0

1

<1

0

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f(x) = 2x²+ 3x + 5 is a

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trigonometric function

algebraic function

exponential function

logarithmic function

The multiplicative inverse of 1 - 2i is

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If f(x) = cos x then f(0) is

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0

1

1/2

the latus rectum of the parabola x³= -4ay is:

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x = a

y = -a

x = -a

y = 0

What is the circular measure of the angles between the hands of which at 4 o clock

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π/6

3π/2

π/4

2π/3

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The number of proper subset of A ={a.b.c.d} is

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3

6

8

15

sin(π+θ)=_______;

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sinθ

cosθ

-sinθ

-cosθ

If a plane passes through the vertex of a cone then the intersection is

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an ellipse

a hyperbola

a point circle

a parabola

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7

5

6

None of these

n!/(n-1)!=

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n

n!

(n-1)!

0!

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2x

2

If n is a negative integer n! is

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1

0

Unique

Not defined

Order (or sense) of an inequality is changed by multiplying or dividing its each side by a:

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Zero

one

negative constant

Non negative constant

The straight line passing through the focus and perpendicular to the directrix of the conic is known as its

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Tangent

axis

Focal chord

major or manor axis

The sum even binomial coefficient of (3+2x)5 is ______term

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16

30

8

32

3x + 4 > 0 is

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equation

identity

inequality

none of these

The coefficient of x¹⁰in the expansion (x³+3/x²)¹⁰is

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1700

17023

17027

17010

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The solution set of trigonometric equation contains

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one element

two elements

three elements

Infinite elements

If the roots of ax²+ b = 0 are real and distinct then

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ab > 0

a = 0

ab < 0

a > 0, b > 0

The domain of the function y = sin x , is

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-π/2≤ x≤ π/2

π/ ≤ x≤ π

-2π ≤ x≤ 2π

-1 ≤ x≤ 1

Write the first four terms of the arithmetic sequence 5, 2, -1, ... is

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3

-4

7

1

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Commutative law of addition

Associative law of addition

Additive identity

Additive inverse

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2x³+ 3x + 9 is a ______

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Polynomial of degree 3

Quadratic equation

Cubic equation

Polynomial of degree 2

Period of Sine and Cosine function is

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π

2π

-π

-2π

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

If (2, 3) and (2, 5) are end points of a diameter of a circle, then the centre of the circle is

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(2, 4)

(4, 8)

(0, 2)

(0, -2)

The value of x for which the polynomials x2 - 1 and x2 -2x + 1 vanish simultaneously is

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2

1

-1

-2

The coefficient of the third term of (8a-b)^1/3, after simplification is

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-228

1/288

1/220

-1/177

i¹⁰¹=

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i

i²

-i

-1

The process of finding a function whose derivative is given is called a

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Differentiation

Integration

Differential

None

The angle of elevation of the top of a tree from a point 17 meters from is foot is 42^𝜊The height of the tree is

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12m

21m

17m

15m

If a, b, c are the measures of the sides of a triangle then

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64.A point (x, y, z) moves parallel to xy plane. Which of the three variables x, y, z remain fixed?

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z

x

y

x and y

The points (5, 2, 4)(6, -1, 2) and (8, -7, k) are collinear if k is equal to

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-2

2

3

-1

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0

1

-1

none of these

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Measuring pH

Measuring density

Titration against standard NaOH

Titration against standard KMnO₄solution

For the above reaction the relationship b/w k_c and k_p will be :

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K_p = K_cRT

Kp = K_c(RT)_-1

K_p = K_c(RT)_-2

K_c = K_p

The fiber which is made from acrylonitrile as monomer:

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PVC

Rayon Fiber

Acrylic fiber

Polyester fiber

The negatively charged particles are called

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Cation

Radical

Anion

Positron

Equal volumes of 0.1 M AgNO₃and 0.2 M NaCl are mixed. The concentration of NO^-₃ions in the mixture will be

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0.1 M

0.05 M

0.2 M

0.15 M

The self linking property of carbon is called as

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Linking polymerization

Addition

Catenation

Elimination

Aldehydes give reactions :

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Oxidation and reduction

Base-catalysed nucleophilic

Acid catalysed nucleophilic

All of these

Protein are classified into

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Simple protein

Complex protein

Derived proteins

All of these

Which fills the space between needles in cement setting?

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Ca(OH)₂

Al(OH)₃

CaCO₃

MgSO₄

Every sample of matter with uniform properties and a fixed composition is called a :

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Solid

Liquid.

Phase.

Gas.

Ethyl alcohol may be identified by

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Ring test

Iodoform test

Tollen's test

Bazeyer's test

Which is not the affect of polluted air on environment

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Acid rain

Smog

Ozone

Global warming

DDT is a:

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Fungicide

Insecticide

Herbicide

All

Which reaction yields Bakelite?

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Urea with HCHO

Tetramethyl glycol with Hezamethylene diisocyanate

Phenol and HCHO

Ethylene glycol and Dimethylterephthalate

Stainless steel contains ion and carbon along with

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Ni and Cr

Cr and Co

Co and Mn

Mn and Ni

Which reaction produces a free radical

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SN reaction

Homelytic fission reaction

Heterolytic fission reaction

Addition reaction

Grignard reagent on reaction with a ketone forms

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Tertiary alcohol

Secondary alcohol

Primary alcohol

Carboxylic acid

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

Azimuthal quantum number of last electron of ₁₁Na is

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1

2

3

0

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

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NaHSO₃

Grinard reagent

Na₂SO₄

NH₄Cl

The total number of transition elements is

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10

14

40

50

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300 cm³

200 cm³

150 cm³

100 cm³

Compounds of carbon and hydrogen in which the tetra valency of carbon is fully satisfied are called,

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Saturated

Un-saturated

Magnetic

Para-magnetic

Which of the following is present in the stings of bees and wasps

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Formic acid

Citric acid

Carbolic acid

Formalin

Which for the following has no dipole moment

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HCI

H₂S

H₂O

CO₂

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

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3.0

2.7

2.0

1.5

The number of groups in the periodic table is

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6

7

8

9

A double bond consists of:

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Two sigma bonds

One sigma and one pi bonds

One sigma and two pi bonds

Two pi bonds

The reaction of sodium with ethanol gives

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CH₃OH

NaH

H₂O

H₂

Which of the following is not a synthetic polymer?

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Polyethylene

PVC

Nylon

Cellophane

Silver oxide battery has a voltage of

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2.0 V

1.5 V

2.5 V

1.0 V

Corrundam is ore of:

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Li

Be

B

Al

E.D.T.A is

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Mono-dentate

Bi-dentate

Polydentate

Having three lone pairs of electrons

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

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Homologues differ from each other by an integral number of

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CH₂groups

CH₃groups

CH groups

CH₄groups

Peat contains about

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60% carbon

80% carbon

78% carbon

50% carbon

Benzene reacts with chlorine to form benzene hexachloride in presence of

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Nickel

AlCl₃

Bright sunlight

Zinc

Peat before conversion to bituminous coal is converted to

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Lignite

Anthracite

Asphalt

None

The color of ppts formed by Benedirct's test is

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Brick red

Wine red

Yellow

Orange

The reagent which forms crystalline osazone derivative when treated with glucose is

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Fehling solution

Phenyl hydrazine

Benedict solution

Hydroxyl amine

The Mn³⁺has ______ color

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Violet

Green

Red/brown

No color

In endothermic reactions, the heat content of the

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Products is more than that of reactants

Reactants is more than that of products

Both a and b

None of the above

Statement enthalpy of combustion of H₂is -285.8 KJ mole^-1then which is the standard enthalpy of formation of water

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+285.8 KH mole^-1

-285.5 KJ mole^-1

Zero

-218 KJ mole^-1

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Shift reaction toward forward direction

Shift reaction backward

Lower the value of K_c

No change in reaction

Water which his considered to be safe for human consumption is known as

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Distilled water

Contaminated water

Potable water

Rain water

Drawback DDT as presticide is

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I becomes ineffective after some time

It is less effective than others

It is not easily/rapidly degraded in nature

Its high cost

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

If the standard electrode potential of CU²⁺/Cu electrode is 0.34 V, what is the electrode potential of 0.01 M concentration of Cu²⁺? (T=298)

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0.399 V

0.281 V

0.222 V

0.176 V

Which of these polymers is a synthetic polymer

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Animal fat

Starch

Cellulose

Polyester

Which among the following species has the highest ionization energy?

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Ne

F

Li

B

Aldehydes are reduced to :

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Pri-alcohol

Sec-alcohol

Ter-alcohol

All of these

Which of the following is known as wood spirit

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Ethyl alcohol

Propyl alcohol

Methyl alcohol

Butyl alcohol

Choose an answer

How many secondary alcoholic groups are present in the structure of glucose OHC CHOH CHOHCH OH CHOH CH₂OH

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1

2

3

4

The freezing point of 1 molal NaCl solution assuming NaCl to be 100% dissociated in water in

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-1.86°C

-3.72°C

+1.86°C

+3.72°C

The fractions obtained from fractional distillation of petroleum are placed in increasing order of their boiling points. Which order is correct

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Natural gas, petroleum ether, gasoline kerosene

Petroleum ether, kerosene, natural gas, petroleum ether

Gasoline, kerosene, natural gas, petroleum ether

Kerosene, gasoline, petroleum ether, natural gas

The atom of an element is

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The smallest particle

The fundamental particle

The independent particle

The charged particle

Replacement of hydrogen by NO₂group is called

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Sulphonatioin

Hydration

Nitration

Cracking

Decreases om concentration of reactant is denoted by

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dc/dt

-dc/dt

+dc/dt

None

The nitrogen present in some fertilizers helps plants to:

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Fight against diseases

Produce fat

Undergo photosynthesis

Produce protein

There are 20α-amino acids found in protein 19 have -- NH₂as the amino group. Only one of theα-amino acids has a secondary amino group which one is this

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Glycine

Lysine

Proline

Cystein

The treatment of benzene with isobutene in the presence of sulphuric acid give

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isobutyl benzene

tert-Butyl benzene

n- Butyl benzene

no reaction

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Iodine can oxidise iron

Bromine can oxidise iron

Iodine can oxidise bromine

Iron can oxidise bromine

Which of the following is a biodegradable polymer?

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Cellulose

Polyethene

Polyvinyl chloride

Nylon-6

Which of the following is a characteristic of a reversible reaction?

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It never proceeds to completion

It can be influenced by a catalyst

It proceeds only in the forward direction

Number of moles of reactants and products are equal

Carbolic acid is the other name for

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Methanol

Ethanol

Propanol

Phenol

Which of the following in incorrect?

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FelCl₃is used in the detection of phenols

Fehling solution is used in the detection of glucose

Tollen's reagent is used in detection of unsaturation

NaHSO₃is used in the detection of carbonyl compounds

When benzene is burnt in free supply of air, it is completely oxidized to

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CO

CO₂₊H₂O

H₂CO₃

None

Which one of the following statements of glucose and sucrose is incorrect?

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Both are soluble in water

Both are naturally occuring

Both are carbohydrates

Both are disaccharides

A limiting reactant is the one which

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Is taken in lesser quantity in grams as compared to other reactants

Is taken in lesser quantity in volume as compared to other reactants

Gives the maximum amount of the product which is required

Gives the minimum amount of the product under consideration

Grignard's reagent was prepared in:

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1900

1910

1920

1930

At present the number of fertilizers plants in Pakistan are

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10

12

14

20

The ratio of moles of a particular component of solution to total moles of all components of solution is :

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Mole fraction.

Molality.

Molarity.

Normality.

Organic compounds resemble to those of inorganic compounds having same

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Ionic properties

Carbon forming long chain or rings

Chemical forces

Isomerism

The function of salt bridge in the galvanic or voltaic cell is to

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Carry out oxidation at anode

To carry out reduction at cathode

Carry out electrolysis

To prevent the net charge accumulation in either of the half cells

The organic compound, alcohols are much closer to, in structure and hence is also called its derivative:

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Water

Oxidizes of lithium oxides

Oxidizes of magnesium

Oxidizes of aluminium

Isopropyl alcohol on oxidation gives

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Acetone

Ether

Ethylene

Acetaldehyde

Polycyolic aromatic hydrocarbons are taught to be

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Disinfectant

Carcinogenic

Helpful

Reactive

Pressure volume work is

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The human body can synthesize ______ amino acids

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1

10

20

19

What is the most common catalyst used in hydrogenation of oils

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Cobalt

Nickel

Tungsten

Copper

Which one of the following has no units of its K_cvalue

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The unit of rate of reaction is

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mole dm^-3

mole Kg^-1

moles dm^-3sec^-1

grams dm^-3

The steroids of fungi and yeast are called:

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Vitamin D

Vitamin D₂

Ergosterol

Cholestorl

Which of the following statements about acetic, anhydride is not correct

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It is immiscible with water but is hydrolysed to give acetic acid

It is prepared by the action of actyl chloride on the sodium salt of acetic acid

it reacts with ammonia to give acetamide

it is a strong acid

Choose an answer

Non polar R group

Polar R group

Acidic R group

Metallic R group

When the 6d orbital is completed the entering electron goes into

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7f

7 s

7 p

7 d

Two or more similar monomers combine to form:

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Homopolymer

Copolymer

Ter Polymer

Thermoplastic polymers

The atomic mass is measured in atomic mass unit (a.m.u.) which is equal to

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1.661 x 10^{-27- Kg}

1.661 x 10^-24Kg

1.661 x 10^{-27- g}

1.661 x 10^-24mg

In an electrolytic cell, the electrons flow from :

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Cathode to anode or opposite

Cathode to anode

Anode to cathode

Random flow

A carboxylic acid containing Ar group in it is called:

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Aromatic carboxylic acid

Allphatic carboxylic acid

Dicarboxylic acid

Carboxylic acid

Ozone is not

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An allotrope

A powerful oxidizing agent

Paramagnetic

A bent molecule

Which one is a polymer compound?

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SO₂

CO₂

CH₄

PVC

Choose an answer

Total pressure

Amount of A₂and B₂

Temperature

Catalyst

"Each different compound should have a different name" was published by IUPAC system of nomenclature in

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1892

1830

1947

1979

0.1 molar glucose (C₆H₁₂O₆) solution has the % W/N

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1.8%

18%

0.18%

2.8%

Which woody raw material is used of the manufacture of paper pulp

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Cotton

Bagasse

Poplar

Rice straw

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

Glyptal polymer is obtained from glycerol on reacting with

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Malonic acid

Phthalic acid

Maleic acid

Acetic acid

The paper is derived from the name of which seedy plant?

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Rose

Sun flower

Papyrus

Water Hyacinth

Charge on electron was discovered by:

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Millikan.

Crook.

Neil Bohr.

Rutherford.