Question # 1

There may be ______ feasible solution in the feasible region

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Infinite

Finite

Defined

None of above

An A.P., a G.P. and a H.P. have the same first and last terms and the same odd numbers of terms, the middle terms of the three series are in

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A.P.

G.P.

H.P.

None of these

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2x

3x²

1

0

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none of these

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Every term of a G.P. is positive and also every term is the sum of two preceding terms. Then the common ratio of the G.P. is

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The set of the first elements of the ordered pairs forming a relation is called its

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Function on B

Range

Domain

A into B

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π/ 4

π/ 6

π/ 3

2π/ 3

If x,y are two positive distinct numbers then

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A>G>H

A<G<H

A=G=H

None of these

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both a & c

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

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0

U

u/2

log u

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Reflexive property

Symmetric property

Transitive property

Additive property

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

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2x + y > 7

x - y > 2

3x + 5y < 6

2x + y < 6

There are ______ types of rational fraction

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Three

Four

Five

Two

The set of all antiderivaties of f(= ∫f(x)dx) is the

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Definite integral

Indefinite integral

Integral

Area

1+3x+6x2 +10x3 +....=

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(1+x)-3

(1-x)-2

(1-x)-3

(1+x)-2

No term of a geometric sequence can be

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0

1

2

3

The lines l1and l2intersect. The shortest distance between them is

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Positive

Negative

Zero

Infinity

The general term in the expansion of (a+x)n is

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(r-1)th term

(r+1)th term

rth term

none

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none of these

Out of 40 consecutive natural numbers, two are chosen at random. Probability that the sum of the numbers is odd, is

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14 / 29

20 / 39

1 / 2

n

Two circle s1: x2+ y2 +2x- 2y- 7= 0: s2: x2+ y2- 6x+ 4y+ 9= 0

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Touch externally

Touch internally

Intersects each other

Do not intersects

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Associative law of addition

Commutative law of addition

Additive identity

Closure law of addition

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-3 -2i

3 +2i

1 + 2i

1 - 2i

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sin h x

cos h x

tan h x

cot h x

If you are looking a bird in the tree from the ground then the angle formed is called angle of______;

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Elevation

Depression

Right angle

None of these

The maximum value of the quadratic function f(x) = 2x2-4x+7,is

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3

5

-3

-5

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1

-1

Cos 0° = ______

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-1

0

1

Undefined

Which one is a pair of allied angles

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(180° -θ)

(180° -θ,180° +θ)

(180° +θ)

None of these

Which of the following is not a solution of system of inequalities 2x- 3y ≤6,2x +y≥ 2,x +2y≤ 8, x≥ 0,y ≥ 0

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(1,0)

(0,4)

(3,0)

(8,0)

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

The set of complex numbers forms a group under the binary operation of

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Addition

Multiplication

Division

Subtraction

The points of intersection of the line y = 2x -3 and the circle x²+ y² - 3x =2y -3 = 0 are:

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two

three

less thean two

not intersect

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There are n seats round a table numbered 1, 2, 3 .... n. The number of ways in which m person can take seats is

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ⁿP_m

ⁿC_mx (m - 1) !

^n-1P_m

None of these

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additive property

multiplicative property

additive inverse

additive identity

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none of these

If you are looking someone on the ground from the top of a hill the angle formed is called angle of _______;

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Elevation

Depression

Right angle

None off these

If A=B, then

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A⊂B and B⊂A

A⊆B and B⊈A

A⊆B and B⊆A

None of these

The zero vector is

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[0, 0, 0]

[1, 1, 1]

[0, 1, 0]

[0, 0, 1]

The multiplicative inverse of -3i is

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3i

-3i

-1/3i

1/3 i

The value of x, and y, when (x + iy)²= 5 + 4i

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X = 2, y = 1

X = -2, y = 1

X = 2, y = -1

X = 2, y = 2

Choose an answer

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

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Closure law of addition

Associative law of addition

Additive inverse

Additive identity

The parabola y2 + 2y + x = 0 lie in _____ quadrant.

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First

Second

Third

Fourth

Cos-1 (-x) =

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-x

1/x

tan-1 x

π-cos-1 x

If ab > 0 and a < 0, which of the following is negative?

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b

-b

-a

(a - b)²

6 is

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A prime integer

An irrational number

A rational number

An odd integer

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1

0

5

2

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

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1

-1

+-1

0

A square matrix A = [aij] is lower triangular matrix when

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aij = 0 for all i<j

bij = 0

cij = 0

dij = 0

The solution set of the inequality ax + by < c is

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straight line

half plane

parabola

none of these

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The nth term of a G.P. is

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a₁rⁿ

a₁rⁿ⁺¹

a₁r^n-1

a₁r^-n

Choose an answer

The fixed point from which all the points of a circle are equidistant is called the

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chord of the circle

centre of the circle

diameter of the circle

radius of the circle

The trigonometric function are continuous whenever

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They are defined

their limit exist

Their period is given

All are incorrect

If w is a cube root of unity then 1 + w + w²= ______

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1

2

0

-1

Which of the following is a vector

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length

momentum

volume

speed

If distance of (a,b) from x-axis is 2 then

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a = 2

b = 2

a = b

b = 4

What is the conjugate of -7 -2i?

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-7 + 2i

7 + 2i

7 -2i

None of these

If all members of a sequence are real numbers then it is called

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A.P

Real Sequence

G.P

None of these

The vertex of the equation y² = 4ax is:

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(2, -2)

(1,1)

(0 , 0)

(2 , 2)

If a, b, c, d, e, f are in A.P.,then e-c is equal to

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2(c - a)

2(f - d)

2(d - c)

d - c

The maximum value of 12 sinθ-9 sin²θis x

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3

4

5

None of these

The period of the function csc x/4 us

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4x

π/4

8π

π/8

Choose an answer

Matrices A = [aij] 2 x 3 and B =[bij] 3 x 2 are suitable for

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BA

A²

AB

B²

If z₁ = (a,b), z₂=(c,d), then z₁ z₂ = -------------------

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(ac,bd)

(ac+bd, ad-bc)

(ac-bd , ad+bc)

(ac-bd , ad-bc)

Choose an answer

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

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

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a = -5 , b = -3

a = 5 , b =3

a = -5 , b = 3

a = 5 , b = -3

The sum of the roots of the equation x2 -6x +2 = 0 is

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-6

2

-2

6

Choose an answer

sec 5x + c

- sec 5x + c

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A

A'

U

U'

A number A is said to be the A.M between the two numbers a and b if a, A, b are in

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A.M

A.P

G.P

G.M

Choose an answer

none of these

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Only one real solution

Exactly three real solution

Exactly one rational solution

Non-real roots

The function f{(x, y) | y = ax²+ bx + c} is

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One-one function

Constant function

Onto function

Quadratic function

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G.P

H.P.

A.P.

No particular sequence

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A

A'

U

A A'

If f(x) = x²-x then f(0) is

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0

1

2

3

A and B throw a dice. The probability that A's throw is not greater then B's is

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5 / 12

7 / 12

1 / 6

1 / 2

If b²- 4ac = 0 then the roots of the equation are

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Real and distinct

Real and equal

Imaginary

None of these

The√ is used for the

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Positive square root

Negative square root

+ve and -ve square root

Whole number

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If A(a,b) lies on 3x +2y =13 and point B(b,a) lies on x-y =5 then equation of AB is

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x- y= 5

x+ y+ =5

x+ y= -5

5x +5y =21

(a-1)-1 =

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a-1

a

-a

None of above

pH of the human blood which is essentially maintained constant due to carbonates, biocarbonates, phosphates etc., is

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7.00

7.25

7.35

7.47

Number of neutrons in heavy hydrogen atom is

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0

1

2

3

The pH range of the acid rain is:

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7 - 6.5

6.5 - 6

6 - 5.6

Less than 5

The formula of ketone is

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None of these

The order of reactivity of an alkyl halide (R-X) for a particular alkyl group is

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Iodide > bromide > chloride

Chloride > bromide > iodide

Bromide > chloride > iodide

Bromide > iodide > chloride

Which is used as an antifreeze?

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Glycol

Ethyl alcohol

Water

Methanol

Which nitrogen fertilizer is favoured in tropical regions because of its-hygroscopic nature

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Ammonium sulphate

Ammonium nitrate

Ammonium chloride

Ammonium phosphate

Which of the following groups will increase the acidity of phenol?

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-NO₂

-CN

-X (halogens)

All

A ring contains 3 gram diamond. The number of C-atoms which a ring contains is

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3.01 x 10²³

1.5 x 10²³

6.02 x 10²⁴

3.01 x 10²⁴

High purity copper metal is obtained by

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Carbon reduction

Hydrogen reduction

Electrolytic reduction

Thermite reduction

When the electron jumps form third, fourth, fifth orbits to the second orbit, the transitions are known as

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Paschen

Pfund

Balmer

Brackett

Synthetic rubber is made by polymerization of

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Chloroform

Acetylene

Divinlacetylene

Butene

Neutron was discovered by:

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Chadwick.

Bohr.

Rutherford.

Plank.

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

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C₂H₅OH

C₆H₅OH

HCOOH

Which statement is incorrect for balancing of redox reactions by ion-electron method

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The reaction is splitted into two half reactions

H₂O and H⁺ions are added for acidic or neutral reaction to balance O and H atoms

To balance H, HCi, is added

To balance O and H in the alkaline reaction OH^-added

Size of an anion is increased as compared to its atom because of the

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Addition of new shell

Repulsion of electrons in the valence shell

Decrease in nuclear charge

Increase in the unclear charge

In purification of potable water the coagulant used is

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Nickle sulpahte

Copper sulpahte

Barium sulpahte

Alum

The sum of mole percent of all the components of solution is always equal to :

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Less than 100

One

100

10

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

One calorie is equal

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4.132 J

760 J

4.184 J

1 J

The gasoline having octane No. 100 has ______

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More knocking

Less knocking

No knocking

Only knocking

If the standard electrode potential of CU²⁺/Cu electrode is 0.34 V, what is the electrode potential of 0.01 M concentration of Cu²⁺? (T=298)

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0.399 V

0.281 V

0.222 V

0.176 V

Same amount of electric current is passed through solutions of AgNO₃and HCl. If 1.08 g of silver is obtained in the first case, the amount of hydrogen liberated as S.T.P in the second case is

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112 cm³

22400 cm³

224 cm³

1.008 g

The four bonds of carbon in methane are directed towards the corners of

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Cube

Pentagon

Hexagon

Tetrahedron

Newspaper can be recycled again and again by how many times?

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2

3

4

5

Atoms obey octet rule by sharing-electrons making covalent bonds according to

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Lewis and Kossal theory

Valance bond theory

VSEPR theory

Molecular orbital theory

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0.073

0.147

0.05

0.026

Aldehydes are produce in atmosphere by

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Oxidation of secondary alcohols

Reduction of alkenes

Reaction of oxygen atoms with hydrocarbons

Reaction of oxygen atoms with ozone

Substances that tend to decrease the activity of enzymes are called

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Coenzyme

Activators

Inhibitors

Apoenzyme

The shape of methanol, ammonia and water molecule can be explained by assuming

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Sp³hybridization

Sp²hybridization

Sp hybridization

All of these

The substances which soften the polymer are called

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Stabilizers

Plasticizers

Retarders

Pigments

NaHCO₃is commonly called

Choose an answer

Soda ash

Baking soda

Washing soda

None of these

Choose an answer

Rate is independent of concentration of water since it is in excess

Rate is independent of concentration of ester since it is in exces

Rate depends upon the concentration of acid catalyst added

Rate = k[CH₃COOC₂H₅]^1/2[H₂O]^1/2

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

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1

2

3

4

Grignard reagent on reaction with a ketone forms

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Tertiary alcohol

Secondary alcohol

Primary alcohol

Carboxylic acid

Which of the following has ester linkage?

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Nylon

Bakelite

Terylene

PVC

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

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Solid

Liquid.

Phase.

Gas.

X-ray work has shown that the diameters of atom are of the order of

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8 x 10^-10m

2 x 10^-10m

8 x 10^-8m

2 x 10^-8m

Which is not nitrogeneous fertilizers?

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(NH₄)₂HPO₄

NH₄NO₃

Urea

Calcium phosphate

For what value ofK_{c almost forward reaction is complete :}

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K_{c =}10³⁰

K_{c =}10^-30

K_{c =}0

K_{c =}1

The term ebullioscopy is used for

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Depression of freezing point

Elevation in boiling point

Lower of vapour pressure

None of the above

A homogeneous mixture of two or more than two chemical substances is called

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Solute

Solution

Solvent

Salvation

Reduction of aldehydes with HI and P gives

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Primary alcohols

Secondary alcohols

Alkanes

Tertiary alcohols

SN2 reaction can be best carried out with

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Primary alkyl halides

Secondary alkyl halides

Tertiary alkyl halides

All the three

A standard hydrogen electrode is used as standard electrode of which electrode potential is arbitrarily taken as

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+1

-1

0.1

Zero

Phenol is also known as

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Acetic acid

Carbolic acid

Tararic acid

Trichloroacetic acid

Which of the following is directly related with entropy

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Pressure

Degree of freedom

Temperature

Both b and c

On hydrolysis of starch, we finally get

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Glucose

Fructose

Both

Sucrose

P₂O₅is heated with water to give

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Hypophosphorus acid

Phosphorus acid

Hypophosphorus acid

Orthophosphorus acid

The limiting line of Blamer series in hydrogen spectrum lies in

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Visible regions

Ultraviolet region

Infrared region

x-rays region

The electronegativeities of F,Cl,Br and I are 4.0,3.0,2.8,2.5 respectively.Hydrogen halide with a high percentage of ionic character is

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HF

HCL

HBr

HI

Concentration of rectified spirit is:

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12%

14%

90%

95%

The difference of potential of two electrodes when concentration of solution is 1M each at 25°C and1 atm is called :

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Cell reaction.

Electrode potential.

Cell voltage.

Standard cell potential.

An electric current is passed through silver nitrate solution using silver electrodes.10.79 g of silver was found to be deposited on the cathode if the same amount of electricity is passed through copper sulphate solution using copper electrodes, the weight of copper deposited on the cathode is

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6.4 g

2.3 g

128.8 g

3.2 g

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

The elements of f-block are also known as

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Inner-transition

Outer transition

Normal elements

Alkaline earth metals

In chromatography, the point at which solvent maximum rises called:

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Solvent front

Base line

Element

Chromatogram

Which of the following oxides is unlikely to dissolve in aqueous hydroxide

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Al₂O₃

MgO

SO₂

SIO₂

pH of 1 molar NaOH is

Choose an answer

7

zero

14

10

Two moles of acetic acid are heated with P₂O₅the product formed is

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2 moles of ethyl alcohol

Formic anhydride

Acetic anhydride

2 moles of methyl cyanide

Choose an answer

450°C

250°C

850°C

1000°C

[Zn(NH₃)₄]³⁺possess geometry

Choose an answer

Square plannar

Hexagonal

Tetrahedral

None of these

Caroxyl group has functional in it.

Choose an answer

one

two

three

four

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

Choose an answer

Na F Na⁺ F^-

157 72 95 136

Na F Na⁺ F^-

157 95 172 136

Na F Na⁺ F^-

72 95 136 157

Na F Na⁺ F^-

157 136 95 72

For which one of the following pairs of compounds can the members be distinguished by means of Tollen's test

Choose an answer

HCHO and CH₃CHO

CH₃CHO and CH₃COCH

CH₃COCH₃and C₆H₅COCH₃

CH₃COOH and CH₃COOCH₃

Choose an answer

Small change in concentration of product

Small time internal

Co-efficient of the reactant

Co-efficient of the product

Kolb's method is not useful for the production of

Choose an answer

Methane

Ethane

Propane

Butane

Which of the following statements is not true?

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Isotopes with even atomic masses are comparatively abundant

Isotopes with even atomic masses and even atomic numbers are comparatively abundant

Isotopes with even atomic masses and odd atomic number are comparatively abundant

Amino acids are buildng blocks of:

Choose an answer

protein

Carbohydrates

Lipids

fats

Fe⁺³and Mn²⁺are strong paramagnetic because the number of unpaired electrons in each is

Choose an answer

4

5

6

7

Solvent extraction is an equilibrium process and it is controlled by :

Choose an answer

law of mass action.

the amount of solvent used.

distribution law.

the amount of solute.

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

Choose an answer

Zero order

First order

Second order

Order is in fraction

Active metals react with carboxylic acid releasing gas:

Choose an answer

CO

CO₂

H₂O as steam

H₂

A single benzene ring can have ______ ortho position maximally

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One

Two

Three

Four

Main cause of reducing map is:

Choose an answer

Combustion of coal

NO and NO₂

Un-Burnt Hydrocarbons

All of these

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

Choose an answer

An ionic bond

A coordinate bond

A dative bond

A covalent bond

A solutiion of 0.5 mole camphor in 100 grmas chloroform (K_b= 0.322) has rise in boiling point than that of chloroform by

Choose an answer

0.81°C

1.61°C

1.81°C

0.61°C

The total number of inner transition elements in the periodic table is

Choose an answer

10

14

28

30

Sodium is manufacture by the electrolysis of fused sodium chloride and not from an aqueous solution of sodium chloride because

Choose an answer

Sodium chloride does not ionize in the water solution

Sodium chloride is not soluble in water

Sodium deposited at the cathode may react with water to form sodium hydroxide

Electricity does not pass through aqueous NaCl

The melting point is lowest for

Choose an answer

Be

Mg

Ca

Sr

Which of the following is a strong electrolyte?

Choose an answer

Ca(NO₃)₂

HCN

CH₃COOH

NH₄OH

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

Choose an answer

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

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

Choose an answer

Ca

Ba

K

Al

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

Choose an answer

Formaldehyde

Ethanenitrile

Ethyl alcohol

Methyl iodide

Ethanol containing some methanol is called

Choose an answer

Absolute spirit

Rectified spirit

Power alcohol

Methylated spirit

Which of the following oxides is peroxide?

Choose an answer

Na₂O₂

MnO₂

BaO

SO₂

When phenol is distilled with zinc dust. It is reduced to

Choose an answer

Benzene

Benzaldehyde

Toluene

Hexanol

Energy of electron in an orbit according to Bohr theory is negative due to

Choose an answer

Repulsion of electrons in the same orb

At infinity energy is zero ad a traction towards nucleus decreases energy

Electron has negative charge

Product of positive nuclear charge and negative charge is negative

The Electro-negatively difference for ionic bond must be greater than

Choose an answer

1.6

1.7

1.8

1.0

Aldehydes give reactions :

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Oxidation and reduction

Base-catalysed nucleophilic

Acid catalysed nucleophilic

All of these

Which of the following reactions occur at moderate rate :

Choose an answer

Rusting of iron

Chemical weathering of stone work of buildings by acidic gases in atmosphere.

Hydrolysis of an ester

Fermentation of sugars

A half reaction can be defines as :

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It always occurs at cathode.

Involves only half of a mole of electrolyte.

Occurs at one of the electrode.

Goes only half way to completion.

Minamata disease is due to pollution of

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Organic waste into drinking water

Oil spill in water

Industrial waste containing mercury into fishing water

Arsenic into the atmosphere

In exothermic reaction decrease in potential energy of the products will result in

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Decreases in kinetic energy of the particles

Increases in kinetic energy of the particles

No change in kinetic energy

Decreases in activation energy

Alkaline battery has a voltage of

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4.5 V

3.5 V

2.5 V

1.5 V

Molar mass of high molecular w.f. polymers ranges form:

Choose an answer

1000 to 10000

10000 to 100000

100000 to 1000000

1000000 to 10000000

If four moles of sulpur dioxide are oxidised to sulphur trioxide, how many moles of oxygen molecules are required

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0.5

1.0

1.5

2.0

Water which his considered to be safe for human consumption is known as

Choose an answer

Distilled water

Contaminated water

Potable water

Rain water

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

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60 degree

30 degree

45 degree

90 degree

What is the formula of asbestos?

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CaMg₃(SiO₃)₄

CaSiO₃

Na₂SiO₃

Mg₃H₂(SiO₃)₄

Which is litharge or massicot?

Choose an answer

PbO

Pb₂O

Pb₃O₄

PbO₂