Question # 1

Two sets A and B are said to be disjoint if

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Range of cot x is ______

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[-1, 1]

R

Negative real numbers

R - {x | - 1 < x < 1}

∫sin(ax+b) dx is equal to:

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1/2a cos (ax + b)

-1/a cos (ax +b)

1/a cos (ax +b)

1/a ln (ax + b)

If sin (πcosθ) = cos (πsinθ), then which of the following is correct?

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Z is a group under

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Subtraction

Multiplication

Addition

None of these

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

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(-1)n2n

2n

(-1)(n+1)xr

(n+1)2n

If A(x₁, y₁) , B(x₂, y₂) and C(x₃, y₃) are the vertices of a triangle then its centroid is

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One second is denoted by

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1⁰

1'

1"

1 rad

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sin h x

cos h x

tan h x

cot h x

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

The A.M. of two numbers is 34 and G.M. is 16, the numbers are

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2 and 64

64 and 3

64 and 4

None of these

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)

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The number of standard parabolic functions are is

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4

2

3

1

If the cutting plane is slightly tilted and cuts only one nappe of the cone, the resulting section is:

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an ellipse

Circle

a hyperbola

a parabola

The symbol ______ shall be used both for equation and identity

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

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0

2

∞

1/2

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If (0,4) and (0,2) are vertex and focus of the parabola respectively, the the equation of the parabola is:

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x² = 4y -32

x² =8y -32

y³ = 16 x

x2 + 8y =32

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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

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Two cards are drawn at random without replacement. the probability that the first is a king and second is not a king is

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48 / 663

24 / 663

12 / 663

None of these

The triangle that does not have a right angle is called.

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Isosceles triangle

right angle triangle

equivalent triangle

oblique triangle

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The equation of the tangent at vertex to the parabola is y2 = -8(x -3)

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y=0

x=3

x=1

x=5

The statement that a group can have more than one identity elements is

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True

False

Fallacious

Some times true

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The law of sines

The law of tangents

The pythagorus theorem

None of these

Number of terms in the expansion of (a+x)ⁿis

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n - 1

n + 1

n + 2

n + 3

The sets {1, 2, 4} and {4, 6, 8, 10} are

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Equal sets

Equivalent sets

Disjoint sets

Over lapping sets

The probability to get an odd number in a dice thrown once is

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6

1

1/6

1/2

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The solution set of trigonometric equation contains

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one element

two elements

three elements

Infinite elements

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The factorial of a positive integers is a (an)

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Rational number

Positive integer

Real number

None

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5x^{4 + c}

1/6 x⁶+ c

5x²+ c

1/5 x⁶+ c

The tangents drawn from the point P to a circle are imaginary if

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P is on the circle

P is inside the circle

P is outside the circle

none of these

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A^-

A^t

-A

A

The unit vector along x-axis is

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none of these

Φ set is the _______ of all sets

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Subset

Union

Universal

Intersection

The exact value of cos-1 (0) is

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π/2

-π/2

3π

π-π/6

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There are ______ basic techniques for solving a quadratic equation

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Two

Three

Four

None of these

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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The coordinates of a point P(x,y) referred to XY-system are

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(x+y,y+k)

(x-h,y-k)

(x,y)

(x-h,y-k)

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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 value of sin 28°cos 17°+cos 28°sin 17°is

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In (x +iy) y is called as

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Imaginary part

Complex number

Real part

None of above

i⁹ =

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i²

-1

1

i

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

The symbol of irrational is

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W

N

Q

Q'

The negation of given number is a

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Binary operation

Unary operation

Relation

None of these

What is the period of cos 6x =?

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π/2

π/3

π/4

π

If the angle between two vectors u and v is 0 orπ, then the vectors u and v are:

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Orthogonal

Collinear

Perpendicular

None of these

The law of consines is

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0

-1

1

not defined

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1

-i

i

0

Two unbiased dice are thrown. The probability that the total score is > 5 is

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1 / 18

7 / 18

13 / 18

11 / 18

An unbiased die is thrown. Then the probability of getting a prime is

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1/2

2/3

3/4

None of these

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none of these

The transport of a null matrix is

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Row matrix

Column matrix

Square matrix

Null matrix

The n numbers A₁,A₂,A₃,.....A_nare called an arithmetic means between a and b if a.A₁,A₂,A₃.....A_n, b is ______

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An arithmetic series

An arithmetic sequence

A geometric sequence

A harmonic sequence

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A.P.

G.P.

H.P.

None of these

How many arrangements of the letters of the word PAKISTAN cab be made

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ax2 +2hxy +by2 +2gx +2fy +c =0 may represent an ellipse if

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h2 -ab <0

h2 -ab≠ 0

h2 -ab =0

h2 -ab >0

Matrices are represented by

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Natural numbers

Real numbers

Small letters

Capital letters

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Additive property in R

Multiplication property in R

Cancellation property in R

Distribution property in R

A circle drawn inside a triangle and touching its sides is called ______;

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Circumcirle

Incircle

Escribed circle

unit circle

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0

undefined

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

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Quadratic equation

Linear equation

Cubic equation

Identity

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8

9

10

11

The value of sin-1 24/25 is equal to

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csc-1 25/24

sec-1 24/25

2 tan-1 4/5

2cos-1 24/25

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The period of cosec 10x is _______

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At a point 15 meters away from the base of a 15 meters high house, the angle of elevation of the top is

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90°

60°

30°

45°

If a,b,c are three non-coplanar vector then [a +b,b +c,c +a] = _____

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[a.b.c]

2[a,b,c]

[abc]-2

2[abc]2

The constant distance of all points of the circle from its centre is called the

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Radius of the circle

Secant of the circle

Chord of the circle

Diameter of the circle

A circle drawn inside a triangle and touching its sides is called

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In-circle

Circum circle

Escribed circle

None of these

The points (x, y) which satisfy a linear inequality in two variables x and y from its

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domain

range

solution

none of these

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The nth term of an A.P., is 12-4n. Its common difference is

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8

4

16

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0

1

-1

None of these

If ax²+ bx + x = 0 is satisfied by every value of x, then

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b = 0, c = 0

c = 0

b = 0

a = b = c = 0

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

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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 f (x)=a0 +a1x+a2x2+a3x3-----+0n-1xn-1+anxn then f(n) (x) is equal to

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n!

ann!

0

an

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-1

0

1

undefined

cos (α+β) + cos (α-β) =

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4 cosαcosβ

2 cosαcosβ

2 sinαsinβ

2 sinαcosβ

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

During nitration of benzene, the active nitrating agent is

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NO3

NO2+

NO2-

HNO3

Saponification of ethyl benzoate with caustic soda

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Benzyl alcohol,ethanoic acid

Sodium benzoate, ethanol

Benzoic acid, sodium ethoxide

Phenol, ethanoic acid

The order of reactivity of halogen acids towards alkenes

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HCl > HBr > Hl

HBr > HCl > HI

HCl > HBr

HI > HBr > HCl

Charge of an electron is:

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1.6 x 10^-19 C

9.1 x 10^-34 C

1.7588 x 10¹¹ C

6.62 x 10^-34 C

An organic acdi having molecular formula C₂H₄O₂is

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Formic acid

Acetic acid

Oxalic acid

Propionic acid

Butanenitrile is formed by reaction of KCN with

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Propyl alcohol

Butyl chloride

Butyl alcohol

Propyl Chloride

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1-bromobutane

2-bromobutane

1-bromo-2-methyl propane

2-bromo-2-methyl propane

The rigid rocket part of earth crust called lithosphere extends upto a depth of:

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10 km

100 km

1000 km

1500 km

When chlorofluoro carbon are subjected to U.V. they form

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Cations

Anions

Free radicals

None of these

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Cu

H

N

O

The empirical formula of a compound is CH₂O. What may be the compound

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C₂H₅OH

C₆H₅OH

HCOOH

Ethanol containing some methanol is called

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Absolute spirit

Rectified spirit

Power alcohol

Methylated spirit

An orbital can accommodate maximum two electrons with opposite spins according to

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Heisenberg's principle

Aufbau principle

Hund's srule

Pauli exclusion principle

Water is often treated with chlorine to

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Increase oxygen content

Kill germs

Remove hardness

Remove suspended particles

When of the following is isolelectronic with krypton

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Ca⁺⁺

Al⁺⁺⁺

Br^-1

I^-1

Each vertical column of the periodic table includes elements with chemical characteristics that are in general

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Identical

Similar

Different

Similar as well as different

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-110.7 KJ/mole

+110.7 KH mole^-1

676.7 KJ mole^-1

+393.7 KH mole^-1

Volcanoes produce SO₂:

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47%

57%

67%

77%

Oxidation of 2-propanol gives

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Propanone

Butanone

Pentanone

None of these

The boiling point of glycerol is more than propanal because of

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Hybridisation

H-bonding

Resonance

All these factors

Hydrogenation of alkenes/alkynes inthe presence of Ni as catalyst at 3000°C result in the formation of corresponding alkanes. This reaction is known as

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Sabatier-senderens reaction

kolbes reaction

Cannizaro's reaction

Haloform reaction

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

From the difference between expected bond energies for the normal covalent bond and experimentally determined values Pauling calculated the values of

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Ionization potential of elements

Electron affinity of elements

Electronegativity of elements

Bond length

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Electronphilic substitution

Electrophilic addition

Free radical substitution

Nuclephilic substitution

A cell in which electric current is produced as a result spontaneous redox reaction is called :

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Dry cell

Electrolytic cell

Galvanic cell

Standard cell

The fibre which is made from acrylonitrile as monomer:

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PVC

Rayon fibre

Acrylic fibre

Polyester fibre

In a reversible reaction, two substances are in equilibrium. If the concentration of each one is reduced to half, the equilibrium constant will be

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Reduced to half of its original value

Doubled

Same

Reduced to one fourth its original value

Which of the following transition metal ions will have definite value of magnetic moment?

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Se³⁺

Ti³⁺

Cu⁺

Zn²⁺

The three N - Hσ-bonds are made by

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sp³- s overlap

sp²- s overlap

P - p overlap

sp - overlap

Shahi Qilla may be destroyed by

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Flood in Ravi

Temperature mediated spoilage of marble

Air pollutants from Lahore chemical industries

All the above

Alkanes are gases :

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C₁-C₄

C₅-C₁₀

C₁₁-C₁₅

C₁₀-C₂₀

The number of bonds in nitrogen molecule is

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Oneφ and one π

Oneφ and two π

three sigma only

Two φ and one π

When electrically is passed through molten Al₂O₃+ Na₃AlF₆and 13.5 gms of Al are deposited, the number of farady must be

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0.5

1.0

1.5

2.0

The substance which is present in large quantity is called a :

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Solute

Solvent

solutiion

None of Above

Steps in SN , reactions are:

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One

Two

Three

Four

The vapour pressure of two liquids 'p' and 'Q' are 80 and 60 torr respectively. The total vapour pressure of solution obtained by mixing 3 mole of P and 2 mol of Q would be

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140 torr

20 torr

68 torr

72 torr

The protein which only yield amino acids and their derivatives

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Simple proteins

Complex proteins

Derived protein

All of these

The proteins which are derived by conjugated proteins are called as

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Simple protein

Complex protein

Derived protein

None

Alcohols are derivatives of:

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Alkanes

Alkens

Alkynes

Benzene

What is the molarity of H₂SO₄solution that has density of 1.84 gm/cc at 35°C and contains 98% by weight?

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4.18 M

8.14 M

18.4 M

18 M

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

Aldol condensation is actually

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Electrophilic addition of carbonation

Electrophilic addition of carbonium ion

Nucleophilic addition of carbonation

Nuclephilic addition of carbonium ion

Which of the following liquid pairs shown a positive deviation from Raoult's law

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CH₃COOH₃+ CH₃CI

C₆H₆+ CH₄OH

H₂O + HCI

H₂O + HNO₃

0.5 mole of CH4and 0.5 mole of SO2gases have equal

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Volume

Mass in grams

Total number of atoms

Number of molecules

The value of R(General Gas Constant) is

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8.3134 JK^-1mole^-1

1.987 Cal K^-1Mole^-1

Both a and b

1.987 JK^-1mole^-1

Micro-nutrients are required in quantity ranging from

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4g-40g

6g-200g

6Kg-200Kg

4Kg-40Kg

The radius of first orbit of H-atom is

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4.75 A°

3.84 A°

8.4 A°

0.529 A°

Choose an answer

With H₂/Ni CH₃(CH₂)₅CH₂OH

With H₂/Ni CH₃(CH₂)₅CH₃

With NaBH₄ CH₃(CH₂)₅CH₂OH

With NaBH₄ CH₃(CH₂)₅CHO

The main source of natural fibre is

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Animal fibres

Vegetables fibres

Mineral fibres

All of the above

The diameter of atoms is of the order:

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2* 10^-5m

2* 10^-10m

2* 10^-2m

2* 10^-3m

When the solute is present in trace quantities the following expression is used

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Gram per million

Milligram percent

Microgram percent

Parts per million

0.5 mole of CH₄and 0.5 mole of SO₂gases have equal

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Volume

Mass is gram

Total number of atoms

Number of molecules

Potable water is considered to be

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Safe for human consumption

Not safe for human consumption

The surface water

The ground water

Which are used as essences (flowers)?

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Aldehydes

Ketones

Alcohols

Esters

Units of Kw are

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Mole dm^-3

Mole²dm^-3

Mole²dm^-6

Mole²dm^-3

Value of chemical oxygen demand (COD) is a measure of chemically oxidizable matter in water. Which value of COD will indicate more polluted water

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Low value

Higher value

Both values

None of these

10g of NaOH has been dissolved per kg of solvent. The molality of solution is :

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.25 m

1.5 m

.5 m

2.5 m

Which gasoline is better?

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Of low boiling point

Of low molecular mass

Of high octane

All of these

Alcohols of low molecular weight are

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Soluble in water

Soluble in water on heating

Insoluble in water

Insoluble in all solvents

Which compound is both chiral and acidic

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What is the name of the comlex [Ni(CO)₄]

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Tetracarbonylnickel (o)

Tetracabonylnickel

Tetracabonylnickel (II)

Tetracabonylnickel (IV)

Chromyl chloride and toluene react to produce

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p-chlorotoluene

Benzaldehyde

Benzyl chloride

Bezoic acid

In a Galvanic cell, the electrons flow from

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A node to cathode through the solution

Cathode to anode through the external circuit

Anode to cathode through the external circuit

Chromium (VI) is highly toxic and can cause

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Blindness

Cancer

Liver problems

Blood problems

The best buffer is prepared when molar concentrations of the salt and acid are equal, then its pH and pKa value are related

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pH = pKa

pH < pKa

pH > pKa

pH x pKa = 14

Monosaccharides belong to the group

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Lipids

Fats

Proteins

Carbohydrates

In preparation medhod of carboxylic acids from alkyl halides always carboxylic acid formed which have carbon atoms:

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One less than in R----X

One more than in R---X

Equal to R---X

Double to R----X

The total number of rare earth elements is

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8

32

14

10

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

The weight of pure NaOH required to prepare 250 cm³of 0.1 N solution is

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4 g

1 g

2 g

5 g

The energy of the first electron is helium will be

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-13.6 eV

-54.4 eV

-5.44 eV

zero

Which one of the following has discontinuous solubility curve

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CaCI₂6H₂O

NaCI

KCI

NaNO₃

Which of these always applies to a nucleophile

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It attacks a double bond

It has a lone pair of electrons

It is single atom

It is negatively charged

Which structure shows a primary alcohol

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Soil remediation means

Choose an answer

To make it suitable for cultivation of crops

To make it acidic

To make it alkeline

To add manure into it

Which one gives acidic reactions?

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CH₃----C≡C-------CH₃

CH₃-----CH₂-----HC=CH----CH₂

CH₃----CH=CH₂

CH₃-----C≡CH

Which element has 4 unpaired electrons in 3d-orbital

Choose an answer

Chromium - 24

Manganese - 25

Iron - 26

Cobalt - 27

Product of concentration of ions raised to the power equal to the co-efficient of ions in balanced equation for saturated solution of a salt is called

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Ionic product

Equilibrium constant K_c

K_w

Solubility product (K_sp)

The detection of functional group is called :

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Numerical analysis.

Qualitative analysis.

Combustion analysis.

Quantitative analysis.

Phenol gives ---------- Colour with neutral FeCl₃solution

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Violet

Green

Red

Blue

Copper oxide is dedected by borax bead test with colour:

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Blue

Red

Yellow

Black

The number of antibonding electron pairs in O^2-molecular ion on the basis of MOT is

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4

3

2

5

Polymerization of ethane take place at pressure of 100 atm and a temperature of

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200°C

400°C

600°C

800°C

The presence of a double bond in a compound in the sign of:

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Saturation

Unsaturation

Subsitution

None

Choose an answer

1, 5-pentadiene

Penta-1, 4-diene

1, 1-pentadiene

1, 4-pentene

Choose an answer

0.073

0.147

0.05

0.026

If two lone pairs are present then bond angle of tetrahedral compound reduces to ______ degrees

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109.5°

107.5°

104.5°

None

Precipitation will occur until the ionic product becomes

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Equal to K_sp

Lesser than K_sp

Greater than K_sp

None of these

The configuration 1s²2s²2p⁵3s¹shows

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Excited state of O₂

Excited state of neon

Excited state of fluorine

Ground state of fluorine atom

The osmotic pressure of 1 m solution at 27°C is

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2.46 atm

24.6 atm

1.21 atm

12.1 atm

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

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Are both soluble in CS₂

Can be oxidized by heating in air

Consist of the same kind of atoms

Can be converted into one another

In macromolecules DP stands for

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Dissociation parameter

Dissociation polymer

Degree of polymerization

None of these

Standard reduction of Zn = -0.76 V and that of Ni is -0.25 V. On coupling them by a salt bridge which of these will act as anode

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Salt bridge will act as anode

Zn will act as anode

Ni will act as anode

None of these

Depletion of ozone is more during the month:

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Jan - March

April - Ju8n

July - Aug

Sept - Nov

Aldehydes are oxidizes are to give:

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Primary alcohol

Sec-alcohol

Ter-alcohol

Carboxylic acid

Which of the following is an example of ketohexose?

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Mannose

Galactose

Maltose

Fructose

Which of the following species is paramagnetic?

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CO₂

NO

O^2-

CN

Cannizzaro's reaction in not given by

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Formaldehyde

Acetaldehyde

Benzaldyhyde

Trimethylacetaldehyde

Which of the following is a molecular diseases?

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Allergy

Cancer

German measles

Sickle cell anemia

Choose an answer

0.02

0.2

50

25