Question # 1

If a=5j + 2j,b=2i -3j, then|a+2b|=

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√21

√97

√39

None of these

Period of 3 sin x is ______

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Express as a sum or difference: 2 sin 5θcosθ

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cos 4θ- cos 2θ

sin 4θ+ sin 2θ

cos 4θ+ cos 2θ

sin 4θ- sin 2θ

What is the circular measure of the angle between the hands of a watch at 4 O'clock

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A triangle which is not right is called an ______ triangle

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Acute

Obtuse

Oblique

None of these

If y is an image of x under the function f, then we write

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y = f(x)

x = f(y)

y = x

none of these

Every identity matrix is

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Row-vector

Scalar

Column-vector

All

(A ∩ B)c =

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A∩ B

(A ∪ B)c

Ac∪Bc

Φ

The points (5, -4, 2),(4, -3, 1),(7, -6, 4),(8, -7, 5) are vertices of a

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Square

Parallelogram

Rectangle

Rhombus

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

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Cos (α+β) - cos (α-β) =

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-2 sinα sinβ

2 sinαcosβ

-2 sinαcosα

4 sinα cosβ

If cosα= 4/5, then cosα/2

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Which of the following is a vector.

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distance

temperature

energy

acceleration

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

if a₁ =3, d=7 and a_n =59 , then the number of terms in A.P is

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7

9

11

13

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

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{-4}

{0}

{}

None of these

(1, 1) is the in the solution of the inequality

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3x + 4y > 3

2x + 3y < 2

4x = 3y > 5

2c - 3y > 2

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An expression

Rational fraction

Equation

Identity

If for the matrix A,A5 = 1,then A-1=

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A2

A3

A

None of above

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0

-1

1

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

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p(x)

x-c

c

P(c)

If C is the mid point of AB and P is any point outside AB, then

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If n(A) = n then n(P(A)) is

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2n

n²

n/2

2ⁿ

for n€ N, 3^{2n + 7 is divisible by}

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7

8

9

10

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At

-A

A

A-1

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Domain of sinθis

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Set of real numbers

Set of complex numbers

Set of natural numbers

Set of even numbers

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1

5

7

9

The function sine and Cosine have the closed internal as their range

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[1, 0]

[-1, 1]

[0, 1]

[-1, 2]

In the expansion of (a + x)ⁿthe sum of exponents of a and x in each term of the expansion is

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n + 1

n - 1

n

2n

How many different 5-digit even numbers are possible form digit 1,2,4,6,8

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4 : 4!

4!

5!

4!+4!

For three consecutive terms in A.P middle term is called

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A.M

nth term

Central term

None of these

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

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-2

2

3

1

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Associate law of addition

Commutative law of addition

Additive identity

Closure law of addition

sin(180° -θ)=

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cosθ

-cosθ

Tanθ

Sinθ

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If Cosθ=0, thenθ= ______

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nπ/2

(2n + 1)π/2

(2n - 1)π/2

(4n + 1)π/2

Tan 2θ=

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The set of positive integers, 0 and negative integers is known as the set of

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Natural numbers

Rational numbers

All integers

Irrational numbers

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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

The transport of a square matrix is a

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Row matrix

Column matrix

Square matrix

Null matrix

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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

A line joining two distinct points on a parabola is called

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Axis

Directrix

Chord

Tangent

w^-1= ______

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0

1

w

w²

n!/(n-1)!=

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n

n!

(n-1)!

0!

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Square matrix

Row matrix

Symmetric matrix

Null matrix

Conic sections or simply conics are the curves obtained by cutting a right circular cone by

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a line

two lines

a plane

two planes

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0

1

13

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real part of z

imaginary part of z

conjugate of z

modulus of z

Fifteen girls compete in a race. The first three places can be taken by them in

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3! ways

12! ways

15 x 14 x 13 ways

42 ways

x = 1 is in the solution of the inequality

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x + 1 > 0

x - 2 > 0

3x - 1 < 0

x + 2 < 0

1⁰= ______

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360'

60"

60'

3600'

The additive inverse of a matrix A is

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None of these

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Name the property used in 4 + 9 = 9 + 4

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Associative property of addition

Commutative property of addition

Distributive property

Additive identity

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A onto B

both a & c

A into B

none of these

H.M. between 3 and 7 is

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Which of the following represents a vector

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(x, y)

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The probability that a person A will be alive 15 years hence is 5/7 and the probability that another person B will be alive 15 years hence is 7/9. Find the probability that both will be alive 15 years hence

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4/63

5/9

45/49

None of these

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The law of of sines

The law of tangents

The law of consines

None of these

The approximate percentage increase in the volume of a cube if the length of its each edge changes from 5 to 5.02 is

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1.2%

1.5%

0.16%

100.16%

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The distance of the point (a, b) from x-axis is

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a

b

a + b

The multiplicative inverse of 2/3 is

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3/2

-2/3

-3/2

1

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The set of all points in the plane that are equally distant from a fixed point to called a

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Parabola

ellipse

Hyperbola

Circle

Which one is a pair of allied angles

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(180° -θ)

(180° -θ,180° +θ)

(180° +θ)

None of these

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Even

Odd

Prime

None of these

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

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(0,ac)

(ac, 0)

(0,0)

(a, c)

tan (π-θ) = ______

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- sinθ

- tanθ

- cosθ

- cotθ

If the vector 2i + 4j - 7k and 2i + 6j + xk are perpendicular then x = ?

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0

2

4

7

The multiplicative inverse of 1 is

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1

-1

0

Does not exist

The law of sines is

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sin (α -β)=

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sinαcosβ- cosαsinβ

sinαcosβ+ cosαsinβ

sinαcosα- cosβsinβ

The equation |x + 4| = x has solution

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x = -2

x = 2

x = -4

x = 4

The set {1, -1, i, -i}

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Form a group w.r.t addition

Form a group w.r.t multiplication

Does not form a group w.r.t multiplication

Not closed under multiplication

A vector of magnitude zero is called

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Position vector

Null vector

Free vector

None of these

The value of x which is unchanged by the mapping in the function defined by f ; x⟶ x² + 5x -5 for x> 0 is

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1

5

-5

-1

Which symbolic notation represent unary operation ?

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-

∨

∧

⇔

The line through the intersection of the lines x+ 2y+ 3= 0 : 3x +4y +7 =0 and making equal intercepts on the axes is

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x+ y+ 1= 0

x+ y- 2= 0

x+ y+ 2= 0

2x +y +2 =0

x = ________ is in the solution of 2x - 3 < 0

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2

-2

3

4

For n€ N,2^n>2 > n is to only when

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n<2

n≤ 4

n≥ 4

If the domain of the function f: x⟶ 2x³+ 1 is {-1,2,3}, the range of the function is

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{3,2,5}

{1,3,9}

{-1,-2,-3}

{3,9,19}

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

Tan 30° = _____

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(1 - x)³= ______

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1 + 3x + 3x²+ x³

1 + x + x²+ x³

1 - x + x²- x³

1 - 3x + 3x²- x³

The point P (5,8) and the origin lie on the side of the line 3x+ 7y+ 15 =0

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Same side

P above and origin below

Opposite side

P below and origin above

Sequence also called..............

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Series

Function

progressions

Elements

The 60th part of one minute is called

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Degree

Second

Radiam

None of these

What is the value of cos-1(1/2)?

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π/3

π/4

3π/2

π/6

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

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3

-4

7

1

(1,0) is in the solution of the inequality

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3x + 2y > 8

2x - 3y < 4

2x + 3y > 3

x - 2y < -5

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CFCs destroy ozone layer. How many ozone molecule a chlorine free radical can destroy

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10,000

20,000

100,000

50,000

Sodium metal is obtained by the electrolysis of fused NaCl in cell is called

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Nelson's cell

Down's cell

Daniell cell

Voltaic cell

The specific conductance of 0.1 M NaCl solution is 1.06 x 10^-2ohm^-1mol^-1. Its molar conductance in ohm^-1cm²mol^-1is

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1.06 x 10²

1.06 x 10³

1.06 x 10⁴

53

During electrolysis, the reaction that takes place at cathode is :

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Reduction

Both (a) and (c)

Oxidation

No reaction occurs

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Linear shape is associated with which set of hybrid orbitals

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sp

sp²

sp³

dsp²

Alkene general formula :

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C_nH_2n+2

C_nH_2n

C_nH_2n-2

C_nH_2n+1

The atomic radius increases as we move down a group because

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Effective nuclear charge increases

Atomic mass increases

Additive electrons are accommodated in new electron level

Atomic number increases

Ammonia is injected under the soil surface:

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1 Feet

6 inches

6 Feet

9 inches

The open chain compounds are also called

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Aliphatic

Alicylic

Aromatic

Both a and b

The simplest separating unit of a polymer is called:

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Monomer

Dimer

Trimmer

Macromer

A polymer may be

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Homopolemer

Co-polymer

Terpolymer

All of these

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Acidic amino acid

Basic amino acid

Neutral amino acid

None of these

Which of the following fluorides does not exists?

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NF₅

PF₅

AsF₅

SbF₅

Which has maximum protein content?

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Ground nut

Cow milk

Egg

Wheat

Which one of the following elements is not present in all proteins

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Carbon

Hydrogen

Nitrogen

Sulphur

Nitroalkane are used in

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Fuel

Solvents

Organic synthesis

All of them

SN₂reaction has order of reaction :

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First

Second

Third

Zero

Solubility of KMnO₄at higher temperature is:

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5%

7%

15%

25%

If the rate of decay of radioactive isotope decreases from 200 cpm to 25 cpm after 24 hours, what is its half life :

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8 hours

6 hours

4 hours

3 hours

Property of transition element is :

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Low m.p and b.p

Parramagnetism

Oxidation state

Low binding energies

Ether shows the phenomenon of

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position isomerism

Chain isomerism

Metamerism

Cir-trans isomerism

As compared to molar solution, in the molal solution the quantity of solvent is :

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Comparatively lesser

More or less equal

Comparatively greater

Very large

Photochemical smog is caused by

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CO

CO₂

O₃

NO₂

The iron obtained from blast furnace is

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Pig iron

Wrought ion

Soft ion

Steel

In formadaldehyde and KOH are heated then we get

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Acetylene

Methane

Methyl alcohol

Ethyl formate

In carboxyl group the bond between C and oxygen is:

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Sigma bond

Single bond

Double Bond

Triple bond

What is the formula of asbestos?

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CaMg₃(SiO₃)₄

CaSiO₃

Na₂SiO₃

Mg₃H₂(SiO₃)₄

Bell metal is an alloy of Sn and

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Copper

Iron

Zinc

Magnesium

Ionization potential increases in moving from left to right in a period

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Because nuclear charge increase

Because atomic size decrease

Both (a) and (b)

Because atomic size increases

How many isomeric disubtituted products are obtained by the introducing of second group in the ring

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Two

Three

Four

None

In which one of the following compound rings are not fused together at ortho positions

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Phenanthrene

Naphthalene

Diphenyemethane

Anthracene

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

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8

10

18

32

Which of the following does not reflect the periodicity of elements?

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Bonding behaviour

Electronegativity

Ionisation potential

Neutral/proton ratio

Selection of filter paper depends upon sizes of particles to be:

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Tested

^Filtered

Checked

All of above

Choose an answer

Plank's equations

de Broglie's equations

Heisenburg's equation

None

The third line of the Balmer series, in the emission spectrum of the hydrogen atom,is due to the transition from the

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Fourth Bohr orbit to the first Bohr orbit

Fifth Bohr orbit to the second Bohr orbit

Sixth Bohr orbit to the third Bohr orbit

Seventh Bohr orbit to the third Bohr orbit

The human body can synthesize ______ amino acids

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1

10

20

19

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

Biodegradable pollutant is

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Plastic

Asbestos

Sewage

Mercury

In which molecule carbon atom is sp²hybridized

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CH₄

C₂H₄

C₂H₂

None of the above

The element with atomic number 55 belongs to which block of the periodic table

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s-block

p-block

d-block

f-block

The pressure of vapours when sent to the ionization chamber in mass spectrometer is

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10^-5to 10^-6torr

10^-6to 10^-7torr

10^-7to 10^-8torr

10^-3to 10^-4torr

Aromatic hydrocarbons are the derivatives of

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Normal series of paraffins

Alkene

Benzene

Cyclohexane

Camphor is often used in molecular mass determination because

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It is solvent for organic substances

It is readily available

It has a very high cryoscopic constant

It is volatile

Which one of the following reaction rate is effected by the light

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Electrophilic addition

Electrophilic substitution

Free radical substitution

Nuclophilic addition

The driving force for making a bond is

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To attain noble gas electronic configuration

To make soled compounds

To make different compounds

To make gaseous substances

Which enzyme is not involved in fermentation of strach

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Diastase

Zymase

Urease

Invertase

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

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Rb

Cs

K

Na

Which element among the following belongs to Group IV-A of the periodic table?

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Barium

Iodine

Lead

Oxygen

Fluorine molecule is formed by

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The axial p-p overlap

The sidewise p-p overlap

The axial s-p overlap

The overlap of two sp²hybrid orbitals

Which of the following favours the reverse reaction in chemical equilibrium?

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Increasing the concentration of the reactant

Removal of the least one of the products at regular intervals

Increasing the concentration of one or more of the products

None of these

The four quantum numbers of the valency electron of potassium are

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4,1,1,1/2

4,0,0,1/2

4,1,0,1/2

4,4,0,1/2

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

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Glycine

Lysine

Proline

Cystein

An alkynes having Carbon count of 20 is

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gas

liquid

Solid

None

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

Alkali metals react violently with halogens to form

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Hydrides

Halides

Anyhydrides

None of these

In sp²type hybridization the three equivalent sp²orbitals lie in the same plane and at angle of

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0°

60°

120°

180°

The molecule of ethane possess which hybrization

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sp³

sp²

sp

sp²d

Catalytic oxidation of alkanes is used for the preparation of

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Ketones

Adehydes

Fatty acid

Carbonyylic acids

Ground and surface waters are contaminated and become polluted due to the human activity. Which human activity will bot cause water pollution

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Live stock waste

Agricultural pesticides

Oil breaks and spills

All of the above

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

Iodoethane reacts with sodium in ether, the product formed is

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Pentene

Propyne

Butene

Butane

When electron jumps from n₂= 2,3,4,5,.... orbit to n₁= 1 orbit in the hydrogen atom, the radiations emitted give the spectral lines

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Lyman series

Blamer series

Paschen series

Brackett series

Sodium hexametaphophate is known as

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Calgon

Permutite

Natalite

Nitrolim

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

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60°

30°

45°

90°

The best electrode used in salt bridge is KCl. Which other electrolyte an also be used for the purpose :

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NaCl

NH₄NO₃

KNO₃

NaNO₃

Heat absorbed by a system when its volume does not change is equal to

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Internal energy of system

Enthalpy of system

Increase in internal energy of system

Increase in enthalpy of system

Group VIB of transition elements contains

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Zn, Cd, Hg

Fe, Ru, Os

Cr, Mo, W

Mn, Te, Re

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

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Fehling solution

Phenyl hydrazine

Benedict solution

Hydroxyl amine

Ethanol can be converted into ethanoic acid :

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Hydrogenation

Hydration

Oxidation

Fermentation

Most common oxidation states shownby cerium are

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+2, +4

+3, +4

+3, +5

+2, +3

Halogens on treating with silver salts of acids give

Choose an answer

Alcohol

Ester

Phenol

Alkyl halide

The electron releasing effect of methyl group is significant and it makes ring a good

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Electrophilic

Nucleophilic

Nucleophobic

Hydrophobic

Hydrocarbons are organic compounds which contain elements such as

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Hydrogen

Carbon

Hydrogen and carbon

Halogens

Choose an answer

di(4-bormophenyl) method

Methanol

Propan-1-ol

Propan-2-ol

Which one of the following is not a nuclelphile

Choose an answer

H₂O

H₂S

BF₃

NH₃

Which one of the following particles has amass 1/1836 time, that of hydrogen?

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Neutron.

Proton.

Electron.

Positron.

Boiling point of n-butane is:

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-102°C

-75°C

-55°C

55°C

The color of ppts formed by Fehling's test is

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Brick red

Red

Yellow

Orange

Cell in which an electric current drives a non-spontaneous reaction is called

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Electrolytic cell

Voltaic cell

Biological cell

Electrochemical cell

Iodoform test is given by:

Choose an answer

Formaldehyde and Higher ketones

Formaldehyde

Acetaldehyde and methyl ketones

Acetaldehyde

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

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Millikan.

J. Perrin.

Hittrof

J.J. Thomson.

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

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In a primary alkyl halide, the halogen atom is attached to a carbon which is further attached to

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Only one carbon atom

Two carbon atoms

Three carbon atoms

one or no carbon atom

The quantum number which describes the shape of the orbital is

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Principle quantum number

Spin quantum number

Azimathal quantum number

Magnetic quantum number

Which compound is more soluble in water

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C₂H₅OH

Benzene

CH₃OCH₃

Hexane

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

Choose an answer

4.18 M

8.14 M

18.4 M

18 M

Choose an answer

RCH(CH₃)CO₂H + CH₃OH

RCH(CH₃)CO₂H + HCO₂H

RCH(CH₃)OH + CO₂

RCH(CH₃)OH + HCO₂H

Which one of the followings is a heterocyclic compound

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Cyclohexanol

Phenol

Pyridine

Anthracene

Iron, once dipped in concentrated H₂SO₄, does not displace copper from copper sulphates solution, because

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It less reactive than copper

A layer of sulphates is deposited on it

An inert layer of iron oxide is deposited on it

All valence electrons of iron are consumed

Gasoline is a mixture of hydrocarbons containing carbon atoms

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5 to 10

5 to 8

5 to 12

5 to 11

Which is in differnet phase form other metals

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Ni

Hg

Cd

Na

At present cement plants in Pakistan are:

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Ten

Twenty Two

Four

Twenty Four

Which compound was recognized the parent member of aromatic compounds

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Aniline

Phenol

Benzene

Toluene

Choose an answer

32 g

3.2 g

5.6 g

9.6 g

NaBH₄and LialH₄are

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Ionic hydrides

Covalent hydrides

Interposal hydrides

Complex hydrides

Choose an answer

The reaction-method that does not give an alkane is

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Catalytic hydrogenation of alkanes

Wurtz reaction

Hydrolysis of alkyl magnesium bromide

Dehydrohalogenation of an alkyl halide

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

Choose an answer

Hund's rule

Pauli exclusion principle

Aufbau principle

Mosley's law