Question # 1

The conic is a parabola, when:

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ᵨ > 1

ᵨ < 1

ᵨ = 1

ᵨ = 0

For any positive integer n

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ABn = Bn A ⇔ AB = BA

ABn = Bn A⇔ A,B are square matrices and AB = BA

ABn = BnA⇔ A + B

ABn = BnA ⇔ A and B are square matries

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In a country, 55% of the male population has houses in cities while 30% have houses both in cities and in village. Find the percentage of the population that has house only in villages.

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45

30

25

50

The distance of the point (-2 , -3) from x-axis is

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2

-3

3

5

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2, 3

3, 3

2, 6

2, 4

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P(A) + P(B)

P(A) - P(B)

P(A) . P(B)

P(A) / P(B)

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

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a geometric sec

an arithmetric series

finite sequence

an infinite sequece

Unit vector in the positive direction of x-axis is

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θ and 2kπ+θ are the ________ angles

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Quadrantal angles

Coterminal

Allied

None

If P, Q, R be the A.M., G.M., H.M. respectively between any two rational numbers a and b, then P - Q is

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For an A.P common difference d

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Can be zero

May or may not zero

Cannot be zero

None of these

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A is proper subset of B

A is an improper subset of B

A is equivalent to B

B is subset of A

Derivative of sin x w.r.t. sin x is

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0

1

sin x

cos x

Geometrically the modulus of a complex number represents its distance from the

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Point (1,0)

Point (0,1)

Point (1,1)

Point (0,0)

There are 25 tickets bearing number from 1 to 25. One ticket is drawn at random. The probability that the number on it is a multiple of 5 or 6 is

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7 / 25

9 / 25

11 / 25

None of these

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If one root of the equation ix²- 2(i + 1) x +(2 - i) = 0 is 2 - i, then the other root is

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-i

2 + i

i

2 - i

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none of these

A line joining two distinct points on a parabola is called

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Axis

Directrix

Chord

Tangent

The sum of the squares of three distinct real numbers, which are in G.P., is S². if their sum isαS then

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u,v,wand u x (v.w) are

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Equal

Parallel

Additive immense of each other

Meaningless

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

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3, -3, 11

3, 3, 11

-3, 3, -11

-3, -3, 11

The lotus of intersection of perpendicular tangents to the parabola y² = 4ax is:

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Axis of the parabola

Focal chord of the parabos

The tangent at vertex of the parabola

a directrix of the parabola

Which one is not defined∀n∈Z+

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-n!

n!

(-n)!

n!+0!=n!+1

If n is any positive integer then 4ⁿ>3ⁿ+ 4 is true for all

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The square of the distance between two points P(x₁, y₁) and Q(x₂, y₂) is

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f (x) = | x | is a/an

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Injective function

Bijective function

Surjective function

Implicit function

n!/(n-1)!=

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n

n!

(n-1)!

0!

The distance of the point (2, -3) from x-axis is

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-2

-3

2

3

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

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

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(-1)n2n

1

(-1)n(n+1)

(n+1)

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To each element of a group there corresponds ............. inverse element

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Two

One

No

Three

There is no element common in

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N and W

E and W

N and O

Q and Q'

Range of sec x is ______

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[-1, 1]

R

Negative real numbers

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

A tower subtends an angleαat a point on the same level as the root of the tower and at a second point, b meters above the first, the angle of depression of the foot of the tower isβ. The height of the tower is

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b cotαtanβ

b tanαtanβ

b tanαcotβ

None of these

The transport of a square matrix is a

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Row matrix

Column matrix

Square matrix

Null matrix

For a positive integer n

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n! = n(n + 1)

n! = n(n+1)!

n! = n(n - 1 )

n! = n(n - 1)!

A and B be two square matrices and if their inverse exist, the (AB)^-1=

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A^-1B^-1

AB^-1

A^-1B

B^-1A^-1

A die is thrown, the probability that the dots on the top are prime numbers or odd numbers is

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1/2

2/3

1/3

2/5

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A diagonal matrix is always

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Identity

Triangular

Scalar

Non-singular

If three unequal numbers p, q, r are in H.P. and their squares are in A.P., then the ration p : q : r is

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If A is a set then any subset R of A x A is called

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relation on A

relation on B

relation from A to B

relation from B to A

The position vector of any point in space is

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If u = xi + yj, then|u|

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x² + y²

(x² +y²)²

x²-y²

√(x²+y²)

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0

-1

1

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In set builder notation the set {0, 1, 2, ............, 100} can be written as

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If a = [1,4,3] and B= [2,-1,5] athen the mid point M of AB is:

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[1,1,1.5]

[2,2,1.5]

[1.5,1.5,4]

None of these

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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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are real no

both are not real

are imaginary no

both are imaginary

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Number of combination of zero or more things out of n different things

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nPn

nPr

nCr

2n

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1 degree = _______

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0.00175 rad

0.175 rad

0.0175 rad

1.75 rad

The slope of the tangent at the point (h,h) of the circle x2 +y2 =a2 is

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0

1

-1

h

∫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)

Which is not included in the domain of cos^-1x

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0

1

-1

2

G = {e, a, b, c} is an Abelian group with e as identity element. The order of the other elements are

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2, 2, 2

3, 3, 3

2, 2, 4

2, 3, 4

A subset of set of complex number whose elements are of the form (a,0) is called

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Real number

Complex number

Rational number

Irrational number

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i² =

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1

2

-1

0

The central angle of an arc of a circle whose length is equal to the radius of the circle is called the

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degree

radian

minute

second

The equation of the circle with centre origin and radius r is

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x²+ y²= 1

x²+ y²= r²

x²+ y²= 0

x²- y²= r²

(51)⁴is equal to

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7065201

8065201

6765201

6565201

What is the number of elements of the power set of { }

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0

1

2

3

The measure of the angle subtended at the centre of the circle by an arc, whose length is equal to the radius of the circle is

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1⁰

1'

1"

1 rad

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0

-1

1

not defined

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The surface generated by lines, consists of two parts, called:

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vertex

apex

nappes

axis

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

If S_rdenotes the sum of the first r terms of a G.P., then S_n, S_2n- S_n, S_3n- S_2nare in

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A.P.

G.P.

H.P.

None of these

The middle term of (x-y)⁸is

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25 x⁴y⁴

70 x⁴y⁴

120 x⁴y⁴

97x⁴y⁴

The set {x|x∈N∧x-4=0} in tabular form is

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{-4}

{0}

{}

None of these

The equation of motion of a stone thrown vertically up wards is s = ut - 4.9t²the maximum height attained by it =

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Trival solution of homogeneous linear equation is

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(0, 0, 0)

(1, 2, 3)

(1, 3, 5)

a.b and c

Two coins are tossed twice each. The probability that the head appears on the first toss and the same forces appear in the two tosses is

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1/4

1/2

1/3

1/7

If 2 and 2 are x and y components of vector then its angle with x-axis is

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30°

45°

60°

90°

Equation of the chord of contact to the tangents drawn from (-3,4) to the circle x2 + y2 = 21

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-3x + 4y =21

4x - 3x = 0

-3x + 4y = 25

None of these

The proposition S(n) is true∀n∈N,S(k+1) true when ______is true

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S(1)

Both a & c

S(k)

None

The distance between two points P(x₁, y₁) and Q (x₂, y₂) is

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The set (Q, .)

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Forms a group

Does not form a group

Contains no additive identity

Contains no additive inverse

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

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An identity

An equation

A polynomial

None

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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

x = ________ is in the solution of 2x + 3 > 0

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1

-2

-3

-4

In R, the multiplicative inverse of a is

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0

1

-a

1/a

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{1, 2, 3} is _____

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an infinite set

A finite set

A singleton set

Universal set

The 6th term of the sequence 7,9,12,16......is

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27

32

20

19

The set (Z, +) forms a group

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Forms a group w.r.t addition

Forms a group w.r.t multiplication

Non commutative group w.r.t multiplication

Doesn't form a group

If x³+ ax²- a²x - a³is divided by x + a, then the remainder is

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0

a³

2a³

-2a³

Arithmetic mean between 14 and 18 is

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16

17

15

32

The 31 term of the A.P 5,2,-1.....is

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-82

82

85

-85

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 of the following half molar solutions will have lowest freezing point

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Solution of non-volatile, none electrolyte

Solution of non volatile, weak electrolyte

Solution of non volatile strong electrolyte

Solution of volatile, non electrolyte

Which is the correct electronic configuration of Cr - 24

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1s², 2s², 2p⁶, 3s², 3p⁶, 3d⁴, 4s²

1s², 2s², 2p⁶, 3s², 3p⁶, 3d³, 4s², 4p¹

1s², 2s², 2p⁶, 3s², 3p⁶, 3d⁵, 4s¹

1s², 2s², 2p⁶, 3s², 3p⁶, 3d⁵, 4p¹

A solution can be

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Dilute and concentrated

Saturated and dilute

Saturated and unsaturated

Supersaturated and saturated

Hybridized in carbon is:

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sp

sp²

sp³

d²sp

The carbon, carbon bond length in benzene is

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1.54A°

1.34A°

1.20A°

1.39A°

CsF is an ionic compound because:

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

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

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

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

Units of Kw are

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Mole dm^-3

Mole²dm^-3

Mole²dm^-6

Mole²dm^-3

Which of the following statements is no correct regarding bonding molecular orbitals?

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Bonding molecular orbitals possess ls energy than atomic orbitals from which they are formed.

Bonding molecular orbitals have low electron density between the two nuclei.

Every electron in bonding molecular orbitals contributes to the attraction b.w atoms.

Bonding molecular orbitals are formed when the electron waves undergo constructive interference.

A polymer may be

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Homopolemer

Co-polymer

Terpolymer

All of these

If a large number of amino acids (hundreds to thousands) are joined by peptide bonds, the resulting product is called

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Dipeptide

Tripeptide

Polypeptide

None of these

The number of elements in the 4th periods of periodic table is

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8

10

18

32

Acetamide is prepared by:

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Heating ammonium acetate

Heating methyl cyanide

Heating ethyl acetate

The hydrolysis of methyl cyanide

Grignard's reagent on treatment with carbonyl compounds yield

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Pheonol

Alcohol

Alkane

None of these

A pseudo uni-molecular reaction has order of reaction :

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3

2

1

0

Hydrocarbon which is liquid at room temperature is

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Pentane

Butane

Propane

Ethane

Alkanes have functional group :

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----X

--OH

----COH

No functional group

The solubility product of AgCl is 2.0 x 10^-3 mol² dm^-6 , The maximum concentration of Ag ion in the solution is :

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2.0 x 10^-10 mol dm^-3

1.41 x 10^-10 mol dm^-3

1.0x 10^-10 mol dm^-3

4.0x 10^-10 mol dm^-3

The total number of possible values of magnetic quantum number for the value of l=3 is

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3

1

5

7

Baukelite is a polymer obtained from two monomers

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Phenol and ethanol

Phenol and methanol

Phenol and methanal

Phenol and acetone

5-d series is in the period :

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4th

5th

6th

7th

When alkyl halides are heated with aqueous solution of ammonia at about 100°C, amines are formed. This reaction is known as

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Williamsons synthesis

GHoffmans reaction

Wurtz reaction

Clemensen reaction

The conversion of chemical energy into electrical energy requires :

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Electrolytic cell

Galvanic cell

Voltaic cell

Both (b) and (c)

Cuprous ore among the following is

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Chalcopyites

Azurite

Cuprite

Malachitre

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

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Na

O

Cl

N

The Total coal resources of Pakistan are estimated to be

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184 billion

184 million tones

1.84 billion tounes

1.84 million tonnes

Soil remediation means

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To make it suitable for cultivation of crops

To make it acidic

To make it alkeline

To add manure into it

Transition metals mostly are

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Diamagnetic

Paramagnetic

Neither diamagnetic nor paramagnetic

Both diamagnetic and paramagnetic

Which of the following pairs are chemically dissimilar?

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Na and K

Ba and Sr

Zr and Hf

Ca and Zn

Ethanol is prepared in Pakistan form fermentation of:

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Starch

Sugar

Glucose

Molasses

In the expression rate = K [A]^a[B]^bK is

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The order of reaction

The speed of reaction

The specific rate constant

The overall order of reaction

When alcohol reacts with concentreated H₂SO₄intermediate compound formed as

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carbonium ion

alkoxy ion

alkyl hydrogen sulphate

non of these

Derivative of water is:

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Alcohals

Phenols

Either

Phenol

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 actual number of atoms or molecules taking part in rate determining step is

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Rate of reaction

Velocity of reaction

Order of reaction

Molecularly

Violet colour is obtained when dilute CuSO₄is added in alkaline solution of protein. This test is known as

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Biuret

Xanthoproteic test

Hopkins-cole

All of these

Baking powder has which one of the following formula

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Na₂CO₃

Na₂SO₄

NaHCO₃

K₂CO₃

In OF₂, number of bond pairs and Ione paris of electrons are respectively

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2,6

2,8

2,10

2,9

Urea has concentration when prepared before prlilling:

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46%

82%

99.7%

100%

Which of the atoms has 1s², 2s², 2p_x²2p¹_y2p¹_zconfiguration

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Nitrogen

Carbon

Fluorine

Oxygen

Which bond is most stable

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C - Cl

C - F

C - Br

C - I

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

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Neutrons are attracted by nucleus

Neutrons carry out nuclear reactions

Neutrons carry no charge

Neutrons are electromagnetic radiations

Atoms can be evident by use of electron microscope, field ionization microscope and:

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x-rays

Video camera

Telescope

Compound microscope

Acid rain is caused when various atmospheric gases dissolve in rain water. What are the gases that cause rain water

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SO₂

NO₂

CO

A and b only

Which of the following equations represents the action of heat on NaHCO₃

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Which of the following in an example of reversible reaction

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Copolymer is

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Nylon-6

Nylon 66

PMMA

Polyethene

Give IUPAC name fo Acetone

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Ethanal

Propanone

Butanone

Propanal

The molarity of solution containing 14.5 grams urea (N₂H₄CO) dissolved in 100 cm³of the solution is

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1 molar

0.1 molar

0.2 molar

0.25 molar

The maximum number of electrons in a subshell for which l = 3 is

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14

10

8

4

Ionization energy depends upon

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Nuclear charge

Atomic size

Shielding effect

All of the above

Which of the following was discovered first:

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Charge to mass ratio of electrons.

Mass of electrons.

Charge of electrons.

All of above at same time.

Ethylene decolorizes cold dilute solution of KMnO₄. This test is known as

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Colouration test

Baeyer's test

Silver mirror test

Ring test

Acetic acid is manufactured by:

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Distillation

Fermentation

Ozonolysis

Esterification

Which one of the following solution will have higher vapour pressure than that of water

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Aqueous solution of methanol

Aqueous solution of HCI

Aqueous solution of glucose

Aqueous solution of urea

Quantity of heat evolved or absorbed during the reaction is measured according to the equation

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Which one of the following metal ions is colourless?

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V²⁺

Cr³⁺

Zn²⁺

Ti³⁺

According to the SI-system heat contents are measured in units of

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Calorie

Joules

Ergs

Watts

Of the given alkali metals, the one with smallest size is

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Rb

Cs

K

Na

Which of the following molecules has a net dipole moments

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CO₂

CS₂

SO₂

CCI₄

Solutions containing relatively lower concentrations of solute are called :

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Concentrated solutions.

Lighter solutions.

Dilute solutions.

None of above.

The reaction between fat and NaOH is called

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Esterification

Hydrogenolysis

Fermentation

Saponification

In Lucas test primary alcohol make as oily layer

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Immediately

In 10 mins

On heating

Not

Which of the following gives iodoform on heating with a solution of I₂containing Na₂CO₃?

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Ethyl alcohol

Acetone

Ethyl alcohol as well as acetone

Methyl alcohol

Alcohol reacts with halogen acid to produce

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Alkyl halides

Aldelydes

Ketones

Alkanes

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

Oxidation of ter-alcohol gives:

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Aldehyde

Formaldehyde

Ketone

Alkens

Charge to mass ratio (e/m) of the electron is determined by

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R. A. Millikan

J. J. Thompson

G. J, Stoney

None of these

The metal with highest electrical resistance at room temperature is

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Pb

Te

Po

Fe

Borax is hydrated:

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Penta

Deca

Hepta

Octa

Sodium chloride imparts a yellow colour to the Bunsen flame. This can be interpreted due to the

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low ionization energy of sodium

sublimation of metallic sodium to give yellow vapour

emission of excess energy absorbed as a radiation in the visible region as a radiation in the visible region

photosenitivity

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Moles per dm³

Partial pressures

Number of moles

Mole fractions

Chromic acid used to oxidize

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Aldehyde

Ketone

Both a and b

None of these

Acetaldehyde is used to make

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Rubbber

Antiseptics

Phenolic resin

All of these

The correct set of quantum numbers (n,l and m) respectively of the unpaired electron of chlorine atom is

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2,1,0

2,1,1

3,1,1

3,2,1

Ammonium nitrate fertilizers is not used for which crop?

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Cotton

Wheat

Sugar-cane

Paddy rice

A reaction in which an atom or a group of atoms replaces an atom or a group of atoms in the molecule of a substance is known as

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Addition reaction

Condensation reaction

Elimination reaction

Substitution reaction

The liquid obtained after passing the mixture through filter paper is termed as:

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Extract

Residue

Filtrate

Sample

Carboxylic acid can generally be prepared by various methods. Which of the following methods is not suitable for making carboxylic acids

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By the oxidation of primary alcohols

By the hydrolysis of nitriles

By the carbonation of Grignard, reagent

By the hydrolysis of p-amines

In Millikan method the oil droplet falls under the force of gravity but it moves upward due to

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Electric field

Magnetic field

Incident light

X-rays

Preparation of vegetable ghee involves:

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Halogenation

Hydrogenation

Hydroxylation

Dehydrogenation

Which polymerization is free radical machanism based

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Addition

Condensation

Both a and b

None

Which of the following compounds on boiling with KMnO₄(alk) and subsequent acidification will not give benzoic acid?

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Benzyl alcohol

Acetophenone

Anisole

Toluene

Stainless steel contains ion and carbon along with

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Ni and Cr

Cr and Co

Co and Mn

Mn and Ni

In which type of following solutions the total volume of solutions may not be necessarily equal to sum of volumes of solute and solvent ?

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Percentage volume/volume

Percentage volume/weight

Percentage weight/volume

Percentage weight/weight

Amongst the following the compound that can be most readily sulphonated is

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Toluene

Benzene

Nitrobenzene

Chlorobenzene

Which is the formula of tetra-ammine chloro-nitro platinum (IV) sulphate

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[Pt(NH₃)₄(NO₂)] SO₄

[Pt NO₂CI(NH₃)₄] SO₄

[Pt CI(NO₂) (NH₃)₄] SO₄

[Pt (NH₃)₄(NO₂) CI] SO₄

Which one of the following substance is no used as drying agent in desiccators

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Silica gel

CaCl₂

Phosphorous

NaCL(50%)

There are 20 amino acids found in protein which is not the property of these amino acids

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They are allα-amino acids

They are all optically active

They have high decomposition point

They are water soluble

When copper is allowed to react with HNO₃, the reaction is slow in the beginning, finally becomes very fast. It is due to the formation of an auto catalyst which is

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Cu(NO₃)₂

CuO

O₂

HNO₂

Electron affinity of sulphur is

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More than O and Se

More than O but less than Se

Less than O but more than Se

Equal to O and Se

Which of the following sets of atomic numbers belong to that of the alkali metals?

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1,12,30,4,62

37,19,3,55

9,17,35,53

12,20,56,88

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

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

Which is used to remove air bubbles form metals?

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B

Be

Mg

Al

Solvent extraction is an unstable, Process and it is called by:

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The amount of solute

Distribution law

The amount of solvent used

Law of mass action

Benzene is stable to:

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Oxidation

Nitration

KMnO₄

SULPHONATION

The empirical formula of a liquid compound is known to be C₂H₄O. What other information is needed to work out its molecular formula?

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The percentage composition of the compound

The relative molecular mass of the compound

The density of the compound

The volume occupied by one mole of the compound

The potassium fertilizers are preferred for horticulture, tobacco and potatones, which of the following is popular potassium fertilizer

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Potassium oxide

Potassium chloride

Potassium sulphate

Potassium nitrate

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