Question # 1

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36

360

24

6

The periods of the function f(x) = x[x] is

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1

2

Non periodic

None of these

For graphing a linear inequality, solid line is drawn if the inequality involves the symbols:

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> or <

= or≠

= or >

The differential equations of all conis whose axes coincide with the co-ordinate axis is

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-10

10/7

-10/7

-7/10

Equation of normal to the circle x2 + y2 =25 at (5cosθ,5sinθ)

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xcosθ+ysinθ =5

xcosθ -ysinθ =0

xsinθ -ycosθ =0

None of these

Range of cosθis

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A Series which does not coverage to a Unique sum is called

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Harmonic Series

Oscillatroy Series

Arithmetic Series

None of these

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A sequence whose reciprocal is an A.P is called

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Oscillator

H.P

G.P

None of these

The distance between the points A(3,1) and B(-2,-4) is

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5

25

10

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none of these

The area bounded by y = x (x2 - 4) and below x - axis is

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4

0

-4

8

(1+w)(1+w2)(1+w4)(1+w8)....50 factors

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0

-1

1

2

The range of the principle cot function is

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If Z = (1,2), then Z^-1 =?

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(0.2, 0.4)

(-0.2 ,0.4)

(0.2,-0.4)

(-0.2,-0.4)

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A rational number

An irrational number

An odd number

A prime number

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

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P(o)

P(-a)

P(a)

None of these

∀a,b,c∈R and c>0,then

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a>b ⇒ ac < bc

a>b ⇒ ac > bc

a<b ⇒ ac > bc

None of these

2x = 3 is a conditional equation it is true for

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2

3

3/2

2/3

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The domain of f(x) = log x is

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[0,∞]

(0,∞)

[0,∞[

[∞,∞]

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none of these

√2 +√3 +√5) = (√2 +√3 +√5: this property is called

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associative property w.r.t addition

commutative property

Closure property w.r.t addition

Additive identity

Domain of cos x is ______

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Diagonal matrix

Scalar matrix

Triangular matrix

Identity matrix

The trigonometric function are continuous whenever

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They are defined

their limit exist

Their period is given

All are incorrect

6 is

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A prime integar

An irrational number

A rational number

An odd integer

Three numbers are chosen random without replacement from {1, 2, 3, ...., 10}. the probability that minimum of the chosen numbering is 3 or their maximum is 7

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7 / 40

5 / 40

11 / 40

None of these

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100

99

0

none of these

If P is a proposition then its negative is denoted by

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π

π / 2

π / 3

π / 4

The set of natural no. is closed under

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multiplication

subtraction

difference

division

In one hour, the hour hand of a clock turns through

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x³⁹

40x³⁹

40x⁴¹

none of these

2π is the period of

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sin𝜽

tan𝜽

cot𝜽

all circular function

The equation of the plane which bisects the line joining (2, 3, 4) and (6, 7, 8) is

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x + y + z - 15 = 0

x - y + z - 15 = 0

x - y - z - 15 = 0

x + y + z + 15 = 0

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A rational number

A irrational number

An even integer

A factor of 36

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The differential equation of all st. lines which are at a constant distance to form the origin is

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The multiplicative inverse of -1 in the set {1-,1} is

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1

-1

±1

0

Does not exist

______________ invented a symbolic way to write the statement "y is a function of x" as y= f(x)

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Leibniz

Newton

Euler

None of these

For trival solution |A| is

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A

|A| = 0

A = 0

|A|≠ 0

The mid point of the line segment joining the points (4,0) and (0,4) is

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(4,4)

(2,2)

(-4,-4)

(-2,-2)

If a and b are real numbers then a+b is also real number this law is called

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associative law of addition

closure law of addition

Distributive law of addition

Commutative law of addition

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(1, 3)

(-1, -3)

(1, -3)

(-1, 3)

Multiplicative inverse of "1" is

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0

±1

1

{0,1}

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8

9

10

11

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(ABC)' =

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CBA'

CBA

C'B'A

C'B'A'

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0

1

-1

2

When a selection of object is made without paying regard to the order of selection, it is called

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Sequence

Series

Combination

Permutation

If P is a whole number greater than 1, which has only P and I are factors. Then P is called

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Wholw number

Prime number

Even number

Odd number

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2x

2

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If E = { } , then P(E)

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∅

{ }

{(2),(4),(6)....}

(∅)

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2

0

The solution of the equation 3 tan²x = 1 is ____________

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none of these

cos^-1(cos x) =

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x

cos x

x = 1/x

cos^-2 x

The mid point of the line segment joining the points A(-8,3) and B(2,-1) is

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(-3,1)

(-6,2)

(5,2)

(-5,2)

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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The distance between the points (2, 2) and (3, 3) is

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10

5

2

Number of selections of n different things out of n

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1

nPr

n!

nPr

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X = 100 sinθ

X = 10 sinθ

X = 100 secθ

None of these

sin2 π/6 + sin2 π/3 + tan2 π/4 =______;

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1

2

3

4

∀ z ∈ C, multipliucative is

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(1,1)

(1,0)

(0,1)

None of these

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Multiplicative inverse of 0 is

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0

1

+-1

Does not exist

Range of cotθis

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(+∞to -∞)

(-1 to +1)

(-5 to +5)

Set of even numbers only

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x³

3x²

3x

3

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- cos x

sin x

- sin x

sec x

Z is the set of integers (Z.*) is a group with a * b = a +b +1, a,b ∈ G.then inverse of a is

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-a

a +1

-1-a

None of these

1 + 2 + 3 + ...... + n = ______

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range of f

domain of f

both (a) and (b)

none of these

cos(a-β) = ______;

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sin a cosβ + cos a sinβ

sin a cos β - cos a sinβ

cos a cos β + sin a sinβ

cos a cosβ - sin a sinβ

The value of p for which both the roots of the equation 4x2- 20x + (25p2+ 15 p - 66) = 0 are less than 2, lies in

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The fifth term of (a+2x3)17 is

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4013 x3a13

2208a13 x12

223x7a18

38080a13 x12

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x

y

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The sum of indicated terms of a sequence is called

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Arithmetic series

Series

Harmonic series

None of these

The 7th term of the A.P 7,11,15,is

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24

31

26

23

sin(a-90°)=______;

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sina

cosa

-sinθ

-cosa

For trival solution |A| is

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A

|A| is non zero

A = 0

None of these

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In following question, a number series is given with one term missing. choose the correct alternative that will same pattern and fill in the blank spaces.1 , 4, 9, 16, 25, x

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35

36

48

49

The maximum value of Z = 3x+ 4y subjected to the constrains x+ y≤ 40,x+ 2y≤ 60, x≥ 0 and y≥ 0 is

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120

100

140

160

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I quadrant

II quadrant

III quadrant

IV quadrant

The second degree equation 2x2 -xy+ 5x -2y +2 =0 represents

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Circle

Hyperbola

Ellipse

Pair of straight lines

Period of 2 cos x is ______

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Two tangents drawn from (2,3) to the circle x2+y2 =9 are

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Real and distinct

Imaginary

Real and coincident

None of these

A point (x,y) which satisfy a linear inequality in two variables form its

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Solution

Domain

Range

None

s > t then

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(s - t)²> (t - s)²

(s - t)²< (t - s)²

(s - t)²= (t - s)²

None

If (2, 3) is the mid point of (a, 3) and (5, b) then

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a = 1 , b = -3

a = -1 , b = 3

a = 1 , b =3

a = -1 , b = -3

(a,0) x (c,0) =

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(0,ac)

(ac,0)

(0,0)

(a,c)

What is the conjugate of -7 -2i?

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-7 + 2i

7 + 2i

7 -2i

None of these

If the exponent in the binomial expansion is 6, then the middle term is

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2nd term

3rd term

4th term

5th term

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Potassium ferrocyanide is a

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Mixed salt

Double salt

Complex salt

Normal salt

Enzymes are chemically

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Carbohydrates

Proteins

Fatty acids

Phospholipids

Ethyl bromide on treatment with alcoholic KOH gives

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Ethylene

Ethanol

Acetic Acid

Ethane

The colour of the transition metal compounds is due to

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p-d transition

d-d transition

s-p transition

None of these

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32 g

3.2 g

5.6 g

9.6 g

Benzene is obtained by fractional distillation of

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Heavy oil

Anthracene oil

Middle oil

Light oil

Water shows maximum density at

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4°C

0°C

100°C

-4°C

Negatively charged particle nature of cathode rays was first demonstrated in 1895 by:

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Millikan.

J. Perrin.

Hittrof

J.J. Thomson.

The disaccharide present in milk is

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Sucrose

Maltose

Lactose

Cellobiose

The structure of benzene is

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Hexagonal

Pyramidal

Square planer

Tetrahedral

During the preparation of alkynes the active metals that react with tetra halo-alkanes are

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Zn

Mg

Both a and b

None

Which of the following compounds does not react with NaHSO₃?

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C₆H₅CHO

Acetophenone

Acetone

Acetaldehyde

Ethyl chloride on treatment with aqueous alkali gives

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Ethane

Ethene

Ethanal

Ethanol

Carbon monoxide is pollutant as it

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Inactivates nerves

Inhibits glycolysis

Combines with oxygen

Combines with hemoglobin

All reactions occur in :

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A single step.

A series of steps

Two steps.

Both (a) and (b)

The formula of curprite is

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Cu₂S

Cus

Cu₂O

CuCO₃

The quantitative relationship between the substances according to balanced equation describes

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Reversible reactions

Stoichiometry

Limiting reacting

Percentage composition

Isotonic solutions have same

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Molar concentration

Molality

Normality

None of these

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

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Chemical reaction

Chemical equilibrium

Chemical kinetics

None

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

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Pressure change

Temperature change

Concentration change

Catalyst

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Zero

1

2

1.5

Time required to deposit one millimole of aluminium metal by the passage of 9.65 amperes through molten electrolyte containing aluminium ion is

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30 s

10 s

30,000 s

10,000 s

A pollutant affects

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Human health

Quality of life

Functioning of ecosystem

All of these

The relative abundance of the ions with a definite m/e value is measured by

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High pressure of vapours

Strength of electric current measured

Quantity of fast moving electrons

Electron gas

The trade name of polytetrafluoroethylene (PTFE) is

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Teflon

PVC

Terelene

Polyester

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

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Which one is a polymer compound?

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SO₂

CO₂

CH₄

PVC

Gammexane is

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Chlorobenzene

Benzyl chloride

Brommobenzene

Benzene hexachloride

Which has soapy touch?

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Na2B4O7

H3BO3

Ca2B6O11

HBO2

Urea has concentration when prepared before prlilling:

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46%

82%

99.7%

100%

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

Ethyl alcohol reacts with acetyl chloride to form

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Ethyl chloride

Acetic acid

Methyleacetate

Ethyleacetate

Scientific study of fermentation was first made by

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Buchner

Liebig

Biot

Pasteur

The example of colligative property is

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Boiling point

Osmosis

Freezing point

Osmotic pressure

Among the nitrogen containing fertilizer, the one with about 82% nitrogen content is

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Ammonium nitrate

Ammonia

Ammonium phosphate

Ammonium sulphate

Which of these polymers is a synthetic polymer?

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Animal fat

Starch

Cellulose

Polyester

For the carbylamine reaction we need hot alc.KOH and

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Any amin and chloroform

Chloroform and Ag powder

A primary amine and chloroform

A mono alkyl amine and trichlorom-ethane

Benzene can be obtained by heating either benzoic acid with X or phenol with Y. X and Y are respectively

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Zinc dust and soda lime

Soda time and zinc dust

Zinc dust and sodium hydroxide

Soda lime and copper

A fat or oil is characterised for extent of unsaturation by one of the following number, which one

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Rancidity number

Acid number

Iodine number

Saponicfication number

Which is used to identify Cu²⁺ions

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Nitric acid

Sulfuric acid

NaOH

HCI

Which of the following factors does not influenced the rate of reaction

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Concentration of the reaction

Nature of the reactants

Molecularity of the reaction

Temperature

0.5 M of H₂SO₄is diluted from 1 litre to 10 litre, normality of resulting solution is

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1 N

0.1 N

10 N

11 N

C₆H₁₂O₆ is molecualr formula of:

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Glucose

Dextrose

Fructose

All of these

Which of the following element's outermost orbits last electron has magnetic quantum number m=0?

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Na

O

Cl

N

Quantum number values for 2p orbitals are

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n = 2, l = 1

n = 1, l = 2

n = 1, l = 0

n = 2, l = 0

The gasoline having octane No. 100 has ______

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More knocking

Less knocking

No knocking

Only knocking

Which one of the following is an ideal solution that obeys Rault's law

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Ethanol + water

Benzene + toluene

HCI + water

Acetone + chloroform

Silver mirror test is applied for

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Aldehydes

Alcohols

Acids

Esters

In the reaction of oxalic acid with KMnO₄and H₂SO₄is slow at the beginning but after sometimes the reaction becomes faster due to

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Formation of MnSO₄which acts as 'Auto catalyst

Formation of CO₂which acts as 'Auto catalyst

Formation of K₂SO₄which acts as 'Auto catalyst

Evolution of O₂gas which acts as 'Auto catalyst

BOD is

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Biological oxygen deficit

Biosphere oxygen demand

Biological oxygen demand

None of the above

If 18 g glucose (C₆H₁₂C₆) is present in 1000 g of an aqueous of glucose it is said to be

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1 molal

1.1 molal

0.5 molal

0.1 molal

Choose the correct answer of transition elements?

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Transition elements have low melting points

Transition elements do not have catalytic activity

Transition elements exhibit variable oxidation states

Transition elements exhibit inert pair effect

The rate of E₁reaction depends upon:

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The concentration of substrate

The concentration of nucleophile

The concentration of substrate as well as nucleophile

None of these

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84.84 %

89.89%

81.81%

90.90%

The apex angle of the folded filter paper is slightly greater is termed as:

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60 degree

30 degree

45 degree

90 degree

The energy of ionization of an atom is the energy difference between orbital

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

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Zero

100%

50%

Minimum

Alkaline earth metals posses two electrons in their outermost

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F-orbital

D-orbital

S-orbital

P-orbital

The positive ion is always smaller than the neutral atom while the negative ion is always bigger than the neutral atom. The atomic and ionic radii of Na, F, Na⁺, F^-are in ppm

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Na F Na⁺ F^-

157 72 95 136

Na F Na⁺ F^-

157 95 172 136

Na F Na⁺ F^-

72 95 136 157

Na F Na⁺ F^-

157 136 95 72

Choose an answer

Q and R Q and R

R only Q and R

Q and R R only

Q only R only

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

The vant Hoff factor (1) accounts for

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Degree of solubilisation of solute

The extent of dissolution of solute

The degree of decomposition of solution

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

3 moles of ethanol react with one mole of phosphorus tribromide to from 3 moles of bromoethane and on mole of X. Which of the following is X?

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H₃PO₄

H₃PO₂

HPO₃

H₃PO₃

Besides Zn and Cu , German silver contains the metal

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Sn

Ag

Ni

Mg

Ammonia like water also reacts with Grignard's reagent to give

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Alkane

Alkene

Alkyne

Amide

Where energy is released during a reaction it is

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Exothermic reaction

Endothermic reaction

A free radical reaction

A bond breaking reaction

Solubility cure of Na₂SO₄10H₂shows

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Constant increase of solubility

Constant decreases of solubility

Discontinuously solubility wit temperature

None of above

The element with highest electron affinity among the halogen is

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F

Cl

Br

I

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

Which carbonate of alkali metals is insoluble in water

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Na₂CO₃

K₂CO₃

Li₂CO₃

Cs₂CO₃

Which causes water pollution?

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Smoke/fly ash

Automobile exhausts

Aeroplnes

2,4-D and pesticides

The most acidic of the following compounds is

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P₂O₃

Sb₂O₃

B₂O₃

As₂O₃

What is the molarity of a solution containing 15.0 g urea in 500 cm³of solution

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0.5 M

1 M

1.5 M

2 M

The chemical formula of magnesite is

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MgCl₂

Mg(HCO₃)₂

MgCO₃

None of these

Natural fertilizers are materials derived from

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Plants only

Animals only

Both plants and animals

None of these

Ammonium nitrate fertilizer is not used for which crop

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Cotton

Wheat

Sugar cane

Paddy rice

Which reaction is of condensation or addition elimination reaction?

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Ketol

Aldol

Cannizzaro

All of these

96500 C of electricity liberates from CuSO₄solution

Choose an answer

63.5 g of Cu

31.75 g of Cu

96500 g of Cu

100 g of Cu

If half life period of a reaction is independent of the concentration of the reactants, then the reaction is

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Zero order

First order

Second order

Order is in fraction

The open chain compounds are also called

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Aliphatic

Alicylic

Aromatic

Both a and b

Two or more similar monomers combine to form:

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Homopolymer

Copolymer

Ter Polymer

Thermoplastic polymers

Which of the following is not an ortho-para directing group

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The standard enthalpy change in the formation of 1 mole of a compound from its elements in their standard physical states is

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Enthalpy of formation

Enthalpy of atomization

Enthalpy of neutralization

Internal energy change

Which colour is imparted by sodium

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Yellow

Violet

Red

Crimson

Proteins and amino acid can be separated by:

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Filtration

^Sublimation

Chromatography

Suction

5-d series is in the period :

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4th

5th

6th

7th

Which is not a bidentate ligand

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Which for the following has no dipole moment

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HCI

H₂S

H₂O

CO₂

Which is the derived lipid?

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Common fats

Vitamin-D

Common oils

Spinolipids

Acetamide is prepared by:

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Heating ammonium acetate

Heating methyl cyanide

Heating ethyl acetate

The hydrolysis of methyl cyanide

Which is possible in ethers?

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Reactivity high

Oxidation and reduction

Reactivity towards bases

Towards acids

Which of the following may affect the rate constant (k) fro a reaction :

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Change in concentration.

Change in pressure.

Change in pH.

Change in temperature.

Increasing skin cancer and high mutation rate are due to

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Acid rain

Ozone depletion

CO pollution

CO₂Pollution

The cathodic reaction in the electrolysis of dill H₂SO₄with Pt electrodes

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Reduction

Oxidation

Both oxidation and reduction

neither oxidation or reduction

Benzene is obtained from benzene sulphonic acid by treating with

Choose an answer

HCl

NaOH

H₂O

NaHCO₃

The boiling point of an a zeotropic mixture of water and ethye alcohol is less than that of water and alcohol. The mixture shows

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That solution is highly saturated

No deviation from Raoult's law

Positive deviation from Raoult's law

Negative deviation from Raoult's law

4-d series is in the period:

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4th

5th

6th

7th

The temperature in the incineration process has a range:

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900°Cto 1000°C

650 to 1100°C

950°C to 1300°C

500°C to 900°C

Williamson's synthesis is used to prepare

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Diethylether

Phenolphthalein

Hydrogenation

Bakelite