Question # 1

The domain of the function x/x² -4 is given by

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R

R + 2

[R - (+2)

R-4

A machine operates if all of its three components function. The probability that the first component fails during the year is 0.14, the second component fails is 0.10 and the third component fails is 0.05. the probability that the machine will fail during the year is

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0.2647

0.2692

0.3647

None of these

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

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Polynomial

Proper fraction

Rational fraction

None

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None of these

cos (α-β) = cosαcosβ+ sinαsinβis true for all

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α>β> 0

α>β

β>α

None of these

cos 315° = ______

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(x-1) is a factor of

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2x³-3x²+9

2x³-5x-8

48x^2-46x-9

x⁹-1

The period of sin x/2 = Cos x/3 is

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2p

12p

13p

7p

x is a member of the set [-1, 0, 3, 5] y is a member of the set {-2, 1, 2, 4} which is possible?

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x - y = -6

x - y < -6

x - y > -6

None

If a = 2i +2j, b= 3i -j and c=4i +5j, the 3b -a-2c =

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-i -15j

i-15j

i-3j

None of these

The equation of the line perpendicular to x- axis and passing through (-5,3) is

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y -3 =0

x+ 3 =0

y- 3 =∞

x +5 =0

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R

2R

r

2r

The behavior of trigonometric function is called

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Continuity

Discontinuity

Periodicity

Smoothness

sin(π+θ)=_______;

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sinθ

cosθ

-sinθ

-cosθ

f(x) = ax + b will be a constant function if

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a = 1 , b = 1

a = 1 , b = 0

If the radius of a circle is increased by 1 then area of circle will be

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π r2

π(r+1)2

π r2 +1

2π (r+1)

I f a =5i + 2j, then|a| =

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√13

√7

1/√13

√29

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image

pre-image

constant

none of these

The sides of a right angled triangle are in A.P The ratio of sides is

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1:2:3

3:4:5

2:3:4

5:8:3

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-a -b -c

1

0

-1

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x²+ x - 5 = 0 is

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A polynomial

An inequality

An identity

None

Period of 3 sin x is ______

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

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Parabola

Circle

Hyperbola

Ellipse

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The angle between the vectors u =2i - i + k and v = -i + i is:

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3π/2

2π/3

5π/6

π/3

An open sentence formed by using the sign of equality "=" is called

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Equation

In equation

True sentence

False sentence

If 4 > b or a < b than a = b is a

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Additive property

Transitive property

Trichotomy property of inequality

None of above

Cot 45° = ______

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In f(x) + c

f(x) - c

Water seeps out of a conical filter at eh constant rate of 5 cm/sec. the height of the cone of water in the filter is 15 cm. the height of the filter is 20 cm and radius of the base is 10 cm. the rate at which the height of the water decreases is

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25

16

5

0

Domain of cosθis

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Set of odd numbers

Set of integers

Set of real numbers

Set of complex numbers

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If a variable y dependents on a variable x in such a way that each value of x determines exactly one value of y, then we say that

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x is function of y

y is a function of x

y is independent variable

x is real valued function

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1/3

1

3

None of these

The 10th common term between the series 3+7+11+....... and 1 + 6 +11 + ....... is

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191

193

211

None of these

sin^-1[-1/2] = ______

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Period of Tangent function is

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0°

-π

π

2π

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1

-1

0

None of these

The tangent to the parabola y2 =4ax and perpendicular line from the focus on it meet

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x =0

y =0

x =-9

y = -a

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1

0

3

-3

cotθ= sin 2θifθ=

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Out of 10, 000 families with 4 children each, the number of families all of whose children are daughters is

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375

500

625

150

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The transport of a null matrix is

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Row matrix

Column matrix

Square matrix

Null matrix

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2

4

8

12

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x²+ x - 6 = 0 is

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An equation

An identity

A polynomial

None of these

In the expansion of (a + x)ⁿthe general term T_{r + 1}is

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What is the probability of being born on Wednesday?

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1/7

1/2

1/3

1/8

There are ______ basic techniques for solving a quadratic equation

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Two

Three

Four

None of these

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y/x

x/y

y/z

None

The position vector of the point P(a, b, c) is

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Total number of subsets that can be formed out of the set {a,b,c} is

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1

4

8

12

In natural logarithm the base is

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1

0

10

e

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The sum of all 2 digit number is

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4750

3776

4895

4905

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The slope of x-axis is

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0

undefined

1

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A(α) - A(β)

A(α) + A(β)

A(α-β)

A(α+β)

The range of the function f : x→ y is defined by

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{x| y = f (x) ∀x∈ X ∧y∈y}

{(x,y) |y = f (x)∀x∈ X}

{y|y = f (x) ∀x∈ X ∧y∈y}

Y

Let A,B, and C be any sets such that A∪B = A∪C and A∩B = A∩C then

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A≠ C

B = C

A = B

A≠ B

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sin h x

cos h x

tan h x

cot h x

The lines l1and l2intersect. The shortest distance between them is

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Positive

Negative

Zero

Infinity

cos(a +β)-cos(a-β) = _______;

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2cosa cosβ

2sina cosβ

-25 in a cosβ

-2sin a sinβ

i³ =

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-1

i

-i

1

In triangle ABC, in which b=95, c=34, a =52^𝜊then the value of a=

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18 cm

18.027 cm

20.7 cm

19 cm

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-1

0

1

undefined

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O (0,0)is called:

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Position vector

Free vector

Unite vector

Null vector

sin (sin^-1(1/2))=

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0

2

∞

1/2

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2s²

2s³

s³

3s³

If sinθand cosθare the roots of the equation ax²- bx + c = 0, then a, b, c satisfy the relation

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b²- a²= 2ac

A²- b²= 2ac

A²+ b²= c²

B²+ a²= 2ac

The set (Q, .)

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Forms a group

Does not form a group

Contains no additive identity

Contains no additive inverse

Tangent is a periodic function and its period is ______

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2π

3π

π

4π

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none of these

(x + 2)²= x²+ 4x + 4 is

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A linear equation

A cubic equation

A quadratic equation

None

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0

-1

1

1/2

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A series consisting of an unlimited number of terms is termed as an

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Finite sequence

Infinite sequence

^{Infinite series}

geometric sequence

An expression involving any of the symbols <,>,< or > is called

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equation

inequality

linear equation

identity

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If f(x) = x²-x then f(0) is

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0

1

2

3

Associative law of multiplication

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ab = ba

a(bc) = (ab) c

a(b+c) = ab + ac

(a + b)c = ac + bc

Sec^-1x =

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Cos^-11/x

cosec^-11/x

Cos^-1(-x)

Tan^-1x

A person standing on the bank of a river observes that the angle subtended by a tree of the opposite bank is 60°, when he retreats 40 m from the bank, he finds the angle to be 30°. The height of the tree and the breadth of the river are

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A relation in which the equality is true only for some values of the known is called ______

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An identity

An equation

A polynomial

None of these

The additive inverse of 2/3 is

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3/2

-2/3

-3/2

0

If d₁is the distance between (0,0) and (1,2) and d₂is the distance between (0,0) and (2,1) then

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d₁= d₂

d₁<d₂

d_1>d₂

none of these

The formula an = a +(n-1)d for an A.P is called

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nth term of an A.P

Sum of first n terms

A,M between a and b

None of the above

The number of 5-digit number that can be formed from the digits 1,2,4,6,8, when 2 and 8 are never together is

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72

48

144

20

sin(3π/2 -θ)=_______;

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sinθ

cosθ

-sinθ

-cosθ

The set of real numbers is a subset of

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The set of natural numbers

The set of rational numbers

The set of integers

The set of complex numbers

The first three terms in the expansion of (1 + x)^-2are ______

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1 - 2x + 3x²

1 - 2x - 3x²

1 + 2x + 3x²

-2 -2x + 3x²

sec h x = ________

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If 2x +y + λ =0 is normal to parabola y2 =-8x,λ= _____

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12

8

24

-24

Half life period of a first order reaction is independent of:

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Presence of catalyst.

Conditions of temperature

Initial concentration of the compound

All of above

Smallest particle of an element which may or may not have independent existence is known as:

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A molecule

An ion

An atom

An electron

Which one gives acidic reactions?

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CH₃----C≡C-------CH₃

CH₃-----CH₂-----HC=CH----CH₂

CH₃----CH=CH₂

CH₃-----C≡CH

The malt-sugar in the presence of yeast or invertase gives

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Fructose

Glucose

Lignin

Alcohol

Aledehydes ketones can be prepared form alcohols by their:

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Reduction

Oxidation

Decomposition

Synthesis

Which one of the following equations represent the reaction that occurs when calcium nitrate is heated strongly

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A catalyst is a substance which increase the rate of a chemical reaction, but remains unchanged at the end of reaction, nut remains unchanged at the end of reaction, because

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It increases the temperature

It increase the surface area

It increases the rate constant

It decrease the energy energy of activation

Which of the following is an inert gas?

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H₂

O₂

N₂

Argon

In which type of following solutions we don't know the total volume of the solutions :

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Percentage weight/weight

Percentage weight/volume

Percentage volume/volume

Percentage volume/weight

A buffer of a 0.09 molar acetic acid and 0.11 molar sodium acetate has pH = 4.83. If 0.01 mole NaOH in 1 dm³of the buffer solution is added, then pH of the buffer becomes

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4.74

4.92

5.0

4.0

Carboxyl group has functional group in it:

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One

Two

Three

Four

In the periodic table, the element with atomic number 16 will be placed in the group

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Fourteen

Sixteen

Thirteen

Fifteen

Chloroform is carcinogenic:

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Heart

Lungs

Liver

Kidney

The unit of rate constant k is the same as that of the rate of reaction in

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First order reaction

Second order reaction

Third order reaction

Zero order reaction

The heat of formation of SO₂(g) is -70.9 Kcal. The energy required for the decomposition of 1 mole of SO₂(g) is

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35.50 Kcal

70.9 Kcal

141.8 Kcal

-35.9 Kcal

How many structural acid cis-trans isomers are there for dichloroprepe, C₃H₄Cl₂

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3

5

6

7

The fibre which is obtained from naturally occurring proteins is called

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Saran

Azlon

Rayon

Nylon

Which fills the space between needles in cement setting?

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Ca(OH)₂

Al(OH)₃

CaCO₃

MgSO₄

Which of the following is not a property of cathode rays

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They can produce x-rays when they strike a heavy metal anode

They can cause reduction reaction

They produce fluorescence in rare earth and minerals

They comprise neutral particles

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

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Rose

Sun flower

Papyrus

Water Hyacinth

The isomers due to the unequal distribution of carbon atoms on either side of the functional group belonging to the same homologous series are called

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Functional isomers

Position isomers

Chain isomers

Metamers

Alkenes combine readily with electrophillic reagents such as halogens giving

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Haloalkanes

Gem-dihalides

Vicinal dihalides

Vinyl halides

In which of these processes are smell organic molecules made into macromolecules?

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The cracking of petroleum fractions

The fractional distillation of crude oil

The polymerization of ethane

The hydrolysis of proteins

Positive particle in discharged tube is produced by ionization of gas molecules, which is caused by

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Gas molecules collide with anode

Gas molecules are at high temperature

Gas molecules produce X-rays

Cathode rays remove electrons from gas molecules

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

A bond between two atoms may be obtained by sharing of electrons such a bond is called

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An ionic bond

A coordinate bond

A dative bond

A covalent bond

SO₂Makes ______ acid rains

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Carbonic acid

Sulfuric

Nitric acid

All of these

The arrangement of subshells in the ascending order of their energy on complete filing of 4f subshell the entering electrons goes to

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5s

5p

5d

5f

Gammexane is

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Chlorobenzene

Benzyl chloride

Brommobenzene

Benzene hexachloride

What is the molarity of the solution that contains 20 grams of NaOH in 500 ml of solution [Na = 23, O = 16, H = 1]

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0.25

0.5

1

20

One mole of SO₂contains

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6.02 x 10²³atoms of oxygen

18.1 x 10²³, molecules of SO₂

6.02 x 10²³atoms of sulphur

4 gram atoms of SO₂

Benzene does not undergo polymerization and it is also resistant to

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Reduction

Oxidation

Alkylation

Ozonolysis

Alkynes normally have ______ hybridization

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Sp

Sp²

SP³

d sp³

Active metals react with carboxylic acid releasing gas:

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CO

CO₂

H₂O as steam

H₂

Which of the following statement about electron affinity of two elements is correct

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Carbon has greater than oxygen

Sulphur has less than oxygen

Iodine has greater than bromine

Bromine has less than chlorine

The depression of freezing point is directly proportional to

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Mole fraction of the solution

Molarity of the solution

Molality of the solution

Molarity of the solvent

An ionic compound M₂S₃is formed by the metal M,, the metal is

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Ca

Ba

K

Al

If a reactant or product of a reaction absorbs radiation, then physical method for determining the rate of reaction is

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Spectrometry

Refractometry

Conductivity measurement

Optical method

Simple sugars are :

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Monosacchrides

Disaccharides

Oligo saccharides

Trisaccharides

Sodium hexametaphophate is known as

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Calgon

Permutite

Natalite

Nitrolim

Which of these reactions is shown by buranone, CH₃COCH₂CH₃

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On warming with acidified potassium dichromative (IV) the solution turns green

On heating with Fehling's reagent a red precipitate is formed

With 2,4-dinitrophenlhydrazine reagent an orange precipitate is formed

With hydrogen cyanide an aldehyde is formed

The fiber which is made from acrylonitrile as monomer:

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PVC

Rayon Fiber

Acrylic fiber

Polyester fiber

In carboxyl group the bond between C and oxygen is:

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Sigma bond

Single bond

Double Bond

Triple bond

Which of the following is fully fluorinated polymer?

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Neoprene

Teflon

Thiokol

PVC

e/m of cathode rays is same but for positive rays e/m changes by changing gas in the discharge tube because

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Cathode rays are small sized particles

Cathode rays have same charge

Nature of cathode rays same for all gasses, but masses of nuclei are different for different gases

Temperature of cathode rays higher

The chemist who synthesized urea from ammonium cyanate was

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Berzelius

Kolbe

Wholer

Lavoisier

Which of the following sulphates has the highest solubility in water

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BaSO₄

CaSO₄

MgSO₄

BeSO₄

The alkynides are used for the ----------- of alkynes

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Pxperation

Purification

Seperation

All of above

When an electric current is passed through discharge tube at low pressure, cathode rays are emitted from cathode these rays consist of:

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Alpha rays.

Negative particles.

Electromagnetic rays.

Positive particles.

Dehydration of allcohol gives:

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Alkane

Alkene

Aldehyde

ketone

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

Phosphorus helps the growth of :

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Root

Leave

Stem

Seed

Choose an answer

0

1

2

3

The order of reactivity of halogen acids for reaction with C₂H₅OH is

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HCl > HBr > HI

HI > HBr > HCl

HBr > HI > HCl

HBr > HCl > HI

N₂O₄⇌ 2NO₂

For the above reaction, which of the Following expression of K_c correct :

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Kc = [ N₂O₄]/[ NO₂]²

Kc = [ N₂O₄]/ [NO₂]

Kc = [ N₂O]²/[ N₂O₄]

Kc = [ N₂O₄]/[ N O₂]

Which element form group 15 gives most basic compound with hydrogen?

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Nitrogen

Bismuth

Arsenic

Phosphorus

Swage water is purified by

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Microorganisms

Light

Fishes

Aquatic plants

The ionic product of H⁺ions and OH^-in water is called ionization constant of water Kw. The value of Kw at 25°C is

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0.11 x 10^-14

0.30 x 10^-14

1.0 x 10^-14

3 x 10^-14

Which alloy contains 50% copper, 25% zinc and 25% nickel

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German silver

Gun metal

Bell metal

Brass

The bond angle between hydrogen atoms and carbon in alkane is

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104.5°

107.5°

109.5°

120.5°

What is the nature of SO₂

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Basic

Strongly acidic

Weakly acidic

Amphoteric

Molecular orbitals are filled with the available electrons according to:

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Hund's of rule.

Pauli's exclusion principle.

Aufbau principle.

All of above.

Identify the incorrect statement with respect to ozone

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Ozone is formed in the upper atmosphere by a photochemical reaction involving dioxygen

Ozone is more reactive than diaoxygen

Ozone is diamagnetic whereas dioxygen is paramagnetic

Ozone protects the earth's inhabitants by absorbing gamma-radiations

Ketones are reduced to

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Primary alcohol

Secondary alcohol

Tertiary alcohol

All of these

The normal amount of overhead ozone is about

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250 Du

300 DU

350 DU

400 DU

Which of the following compounds gives a ketone with Grignard's reagent?

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Formaldehyde

Ethanenitrile

Ethyl alcohol

Methyl iodide

Ionization is the process in which ionic compounds when fused or dissolved in water split up into charged particles called :

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Atoms.

Electrons.

Protons .

Ions

(A) is one molar NaCl solution and (b) is 1 molal NaCl solutin :

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A and B are of same strength.

A is more Concentrate than B.

b is more Concentrate than A.

None of above.

The number of unpaired electrons in the p-subshell of oxygen atom

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1

2

3

4

Which functional group is present in glycerol tristearate

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Carboxylic acid

Alcohol

Aldehyde

Ester

Which of the following alkyl halides is used as a mathylating agent

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CH₂H₅l

CH₃l

C₂H₅Pr

C₂H₅Cl

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

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5 x 10^-8m

5 x 10^-9m

500 x 10^-7m

500 x 10^-9m

Choose an answer

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

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Solid

Liquid.

Phase.

Gas.

For which system does the equilibrium constant. K_chas units of

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Electrons in degenerate orbitals are placed in separate orbitals with same spin according to

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Hund's rule

Pauli exclusion principle

Aufbau principle

Mosley's law

Choose an answer

Reaction occurs at STP

Reaction is exothermic

Reaction is endothermic

Number of moles of production and reactant are same

Which substances haveΔH =ΔE

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Solids

Liquids

Gases

Liquids and solids

An organic compound 'X' on treatment with acidified K₂Cr₂O₇gives a compound 'Y' which reacts with I₂and sodium carbonate to form Triodomethane. The compound 'X' is

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CH₃OH

CH₃CHO

CH₃CH(OH)CH₃

CH₃COCH₃

Three sp²hybrid are co-planar at an angle of

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104.5°

109.5°

107°

120°

The hydrocarbon which is used as an illuminating agent

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Methane

Methene

Methyne

B & C

Ethyl acetate reacts with CH₃MgBr to form

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Secondary alcohol

Tertiary alcohol

Primary alcohol and acid

Acid

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

Acetic Acid reacts with PCl₅ giving:

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Acetamid

Acetyl chloride

Alcohol

ether

The colour of transition metal complexes is due to:

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d-d transitions of electorns

Paramagnetic nature of transition

Ionization

Loss of s-electrons

Reaction of acids with alcohols is also known as

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Esterification

Saponification

Alkalization

None

Choose an answer

32

64

16

4

The human body can synthesize ______ amino acids

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1

10

20

19

The solutions of NaCl and KCl are prepared separately by dissolving same amount of solute in water, which of the following statements is true fro these solutions ?

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KCl solution will have higher boiling point than NaCl solution.

Both the solutions have same boiling points.

KCl and NaCl solutions possess same vapour pressure.

KCl solution possesses lower freezing point than NaCl solution.

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Homogeneous

Heterogeneous

Isogeneous

None

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

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It did not describe the quantity of positive charge

It did not explain the repulsion of protons within the nucleus

No empty space between nucleus and the electrons

Moving electron should radiate energy

Isotopes differ in the

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Number of neutrons

Number of protons

Number of electrons

Number of atoms

A compound having empirical formula C₃H₃O and its molecular mass is 110.02. Its molecular formula is

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C₃H₃O

C₆H₆O₂

C₉H₉O₃

C₃H₆O₂

Alkyl halides are considered to be very reactive compounds towards nucleophiles because

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They have an electrophilic carbon

They have an electrophilic carbon and a good leaving group

They have an electrophilic carbon and a bad leaving group

They have a nucleophilic carbon and a good leaving group

Addition of iron fillings to CuSO₄solution caused precipitation of Cu owing to the

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Reduction of Cu²⁺

Oxidation of Cu²⁺

Reduction of Fe

Reduction of Fe³⁺

Allyl chloride on dehydrochlorination gives

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Propadiene

Propylene

Allyl alcohol

Acetone

If heat absorbed in the reaction, the process is said to be

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Exothermic

Isothermal

Adiabatic

Endothermic

The number of moles of NH₄CI dissolved in 500 cm³of its 15%, W/N solution is

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1 mole

1.4 mole

2.0 mole

2.4 mole

The range of visible spectrum is

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300 - 600 nm

600 - 900 nm

400 - 750 nm

100 - 300 nm

In a group IIA from top to bottom as the atomic number increases, there is regular decreases in

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Ionic size

Atomic size

Ionization potential

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