find the‘sac’ in the passage - eenadu pratibha

MATHEMATICS

Single Correct Answer Type

This section contains 20 multiple

choice questions. Each question has 4

options (1), (2), (3) and (4) for its

answer, out of which ONLY ONE

option can be correct.

Marking scheme: +4 for correct

answer, 0 if not attempted and −1 in all

other cases.

26. If the system of linear equations

x + 2ay + az = 0, x + 3by + bz = 0

and x + 4cy + cz = 0 has non zero

1 1 1solutions, then , , are in

a b c

1) A.P 2) G.P 3) H.P 4) A.G.P

√3 + i

27. If Z = , then [Z101+ i103]105

2

is equal to

1) Z 2) Z2

3) Z3

4) 1

28. A box contains 10 mangoes out of

which 4 are rotten. Two mangoes

are taken out together. If one of

them is found to be good, then the

probability that the other is also

good, is

2 5 6 11) 2) 3) 4)

13 13 13 13

29. Runs scored by a batsman in 10

innings are: 38, 70, 48, 34, 42, 55,

63, 46, 54, 44. The mean deviation

about median, is

1) 6.4 2) 10.6 3) 9.6 4) 8.6

cosec2 x − 201930. ∫ dx =

cos2019 x

cot x1) + c

(cos x)2019

tan x2) + c

(cos x)2019

− cot x3) + c

(cos x)2019

− tan x4) + c

(cos x)2019

2

sin−1 (sin x) + cos−1 (cos x)31. ∫ dx =

x2

−2 (1 + x2) (1 + [] )5

(where [ . ] represents the greatest

integer function)

1) loge2

2) loge3

3) loge5 4) loge

4

32. Suppose A, B are two points on

2x − y + 3 = 0 and P (1, 2) is such

that PA = PB then the mid−point of

AB is

−1 13 −7 91) ( , ) 2) ( , )5 5 5 5

7 −9 −7 −93) ( , ) 4) ( , )5 5 5 5

33. The locus of the centre of a circle

which cuts orthogonally the circle

x2 + y2 − 20x + 4 = 0 and which

touches x = 2, is

1) y2 = 16x + 4 2) x2 = 16y

3) x2 = 16y + 4 4) y2 = 16x

34. The equation of the parabola to

which the line m2 (y − 10) − mx − 1= 0 is a tangent for any real value

of m, is

1) y2 = −4x 2) x2 = −4(y − 10)

3) y2 = 4(x − 4) 4) x2 = y − 10

35. The number of possible tangents

which can be drawn to the curve

4x2 − 9y2 = 36 which are perpen-

dicular to the straight line

5x + 2y − 10 = 0, is

1) 0 2) 1 3) 2 4) 4

36. Let a→

, b→

and c→

be the unit vec-

tors such that a→

and b→

are mutu-

ally perpendicular and c→

is equally

inclined to a→

and b→

at angle θ. If

c→

= x a→

+ y b→

+ z (a→

× b→

), then

1) z2 = 1 − 2x2 2) z2 = 1 − x2 + y2

3) z2 = 1 + 2y2 4) z2 = 1 + 2x2

37. Let A (3, 2, 0), B (5, 3, 2), C (−9, 6,

−3) are three points forming a tri-

angle. If AD, the bisector of ∠BAC

meets BC in D, then coordinates of

D are

19 57 171) (− , , )8 16 16

19 57 172) ( , − , )8 16 16

19 57 173) ( , , − )8 16 16

19 57 174) ( , , )8 16 16

38. If a variable plane forms a tetrahe-

dron of constant volume 64 k3 with

the coordinate planes, then the

locus of the centroid of the tetrahe-

dron is (k > 0)

1) |xyz| = k3 2) |xyz| = 2 k3

3) |xyz| = 12 k3 4) |xyz| = 6 k3

39. If f1(x) = sin (log x) and

2x + 3 dyy = f ( ) then at x = 1 is

3 − 2x dx

equal to (Base of all log = e)

1) 6 sin log(5) 2) 5 sin log(6)

3) 12 sin log(5) 4) 5 sin log(12)

40. The equation of the line of inter-

section of planes 4x + 4y − 5z = 12

and 8x + 12y − 13z = 32 can be

written as

x − 1 y + 2 z1) = =

2 − 3 4

x − 1 y − 2 z2) = =

2 3 4

x y + 1 z − 23) = =

2 3 4

x y z − 24) = =

2 3 4

41. Solution of the differential equation

√x dx + √

y dy y3

= √ is given by √

x dx − √

y dy x3

(Base of all log = e)

3 y x

32

+ y

32

1) log () + log ||2 x

x

32

y+ tan−1()

32

+ c = 0x

2 y x

32

+ y

32

2) log () + log ||3 x

x

32

y+ tan−1() + c = 0

x

2 y x + y3) log () + log ()

3 x x

y

32

+ tan−1 ( ) + c = 0

x

32

1 y4) log (x3 + y3) + tan−1 ()

32

+ c = 02 x

−2 π 42. The value of tan {cos−1( ) − }

7 2

is

2 2 1 41) 2) 3) 4)

3 √5 3 √

5 √

5

43. The contra positive of the state-

ment, if x is a prime number and x

divides ab, then x divides a or x

divides b, can be symbolically rep-

resents using logical connectives

on appropriately defined state-

ments p, q, r and s as

1) (∼r V ∼s ) → (∼p ^ ∼q)

2) (r ^ s) → (∼p ^ ∼q)

3) (∼r ^ ∼s) → (∼p V ∼q)

4) (r V s) → (∼p V ∼q)

44. The coefficient of

x50 in (1 + x)41 (1 − x + x2)40 is

1) 0 2) 1 3) 2 4) 3

1 1 1 π4

45. If + + + ..... to ∞ = , 14 24 34 90

1 1 1then + + +..... to ∞ is

14 34 54

equal to

π4 π4 π4 π4

1) 2) 3) 4) 96 45 80 90

Numerical Value type

This section contains 5 questions.

Each question is numerical value type.

For each question, enter the correct

numerical value (in decimal notation,

truncated/ rounded −off to second dec-

imal place.

(e.g. 6.25, 7.00, − 0.33, − .30, 30.27,

− 127.30)


answer, 0 if not attempted and 0 in all

other cases.

3 2 −1 746. If A = [ ] and B = [ ] Then

4 3 3 5

find the sum of the absolute value of

the entries of the matrices X and Y

satisfying AX = B and YA = B is

47. It is given that complex numbers z1and z2 satisfy |z1| = 2 and |z2| = 3.

If the included angle of their corre-

sponding vectors is 60° then,

z1 + z2 √N

| |can be expressed as ,z1 − z2 7

Where N is a natural number then

N = .....

48. Sixteen meter of wire is available

to fence off a flower bed in the form

of a sector of a circle. If the flower

bed has the maximum surface

area, then the radius is ...

49. If f(x) is a function satisfying f(x + y)

= f(x) f(y) for all x, y ∈ N such that

f(1) = 3 and ∑n

x=1f(x) = 120, then the

nvalue of is ....

3

50. A dictionary is printed consisting of

7 lettered words only that can be

made by rearranging the letters of

the word CRICKET, If the words

are printed in alphabetical order,

as in a standard dictionary, then

the number of words before the

word CRICKET is ....

CHEMISTRY

(Single Correct Answer Type)

This section contains 20 multiple

choice questions. Each question has 4

options (1), (2), (3) and (4) for its

answer, out of which ONLY ONE

option can be correct.


answer, 0 if not attempted and −1 in all

other cases.

51. The correct statement about the

compounds A, B and C

÷ªÙÞœüŒî¦ô¢Ù ÎÞœú£ªd 25, 2020n e-mail: [email protected]

17

JEE MAIN-2020 Model PaperNo. of Questions: 75 Max. Marks: 300 Time: 3 Hrs.

1) A and B are identical

2) A and B are diastereomers

3) A and C are enantiomers

4) A and B are enantiomers

52. Which compound will be most

reactive for Perkin condensation

with ethanoic anhydride?

53. Which of the following is most reac-

tive towards Hoffmann bromamide

reaction?

54. The fibre obtained by the conden-

sation of hexa methylene diamine

and adipic acid is

1) Dacron 2) Nylon 6, 6

3) Rayon 4) Teflon

55. Match the following:

1) Morphine a) Antipyretic

2) Ibuprofen b) Narcotic

analgesic

3) Paracetamol c) Tranquillizer

4) Luminal d) Non-narcotic

analgesic

e) Antiseptic

1) 1-b, 2-d, 3-a, 4-c

2) 1-b, 2-c, 3-e, 4-d

3) 1-d, 2-b, 3-a, 4-e

4) 1-a, 2-e, 3-b, 4-d

56. In which of the following reaction

H2O2 acts as a reducing agent?

P) H2O2 + 2H+

+ 2e− → 2H2O

Q) H2O2 − 2e− → O2 + 2H+

R) H2O2 + 2e− → 2OH−

S) H2O2 + 2OH− − 2e− → O2 +

2H2O

1) P, R 2) Q, S 3) P, Q 4) R, S

57. Which of the following is a pyrosili-

cate.

1) Sc2Si2O7 2) Zn2SiO4

3) Ca2Si3O9 4) Be3Al2Si6O18

58. Which of the following is a wrong

statement?

1) The value of dissolved oxygen in

polluted water is < 4 ppm

2) COD gives the measure of

organic pollution of water

3) COD value determination is

based on chemical oxidation of

organic substances

4) If BOD of a river is high, it means

the river is not polluted

sEìoæ̈ ›í@ êŸô¢ªî¦ô³z

JUMBLED SENTENCES

In the short passage, the writer generally devel-

ops an idea into a ‘Statement, and argument,

and a conclusion. [The three things can be

called “SAC”] your job is to find the “SAC”.

Directions (Q.No.1-5): Rearrange the following

six sentences (A), (B), (C), (D), (E), and (F) in the

proper order to make meaningful paragraph and

then answer the questions given below them.

Exercise - 1

A) The child will be taught that hard work is nec-

essary to bring about academic success,which

is the forerunner to occupational success.

B) In the case of the city family, educated to

professional standards, the process is likely

to take a different form.

C) The rural family will transmit these values to

the child in order to prepare it for its future

role as an adult.

D) In the rural community emphasis will be

placed upon values such as group solidarity

and the belief in the natural superiority of the

male.

E) The child is more likely to be taught the val-

ues necessary for success in a world domi-

nated by individual achievement.

F) Thus the child will grow up placing greater

value upon the family as a unit than upon

himself as an individual: more emphasis

upon a segregation of the roles of husband

and wife than upon equality, and so on.

1. Which of the following is the FIFTH sentence?

1) E 2) B 3) A 4) D 5) C

2. Which of the following is the SECOND sen-

tence?

1) A 2) C 3) D 4) E 5) B

3. Which of the following is the FIRST sentence ?

1) D 2) A 3) C 4) E 5) B

4. Which of the following will be the FOURTH

sentence?

1) B 2) A 3) C 4) D 5) E

5. Which of the following will be the LAST sen-

tence?

1) B 2) A 3) C 4) D 5) E

Answers: 1-1 2-2 3-1 4-1 5-2.

Exercise - 2

A) According to conventional wisdom, no

amount can suffice

B) In the process of seeking it is money which

gets a bad name.

C) How much money is enough?

D) The modern reasoning is that the money

coming in should cover our basic needs

E) The real culprit, however, is a living thing

called desire, which although it is difficult to,

can be controlled.

F) However, from the basics of food, clothing

and shelter, we gradually seek luxury cars

and holidays.

1. Which of the following will be the FIRST sen-

tence?

1) C 2) B 3) D 4) E 5) F


tence?

1) B 2) C 3) A 4) E 5) D

3. Which of the following will be the FIFTH sen-

tence?

1) B 2) C 3) D 4) E 5) F

4. Which of the following will be the SECOND

sentence?

1) B 2) C 3) A 4) E 5) F

5. Which of the following will be the THIRD sen-

tence?

1) D 2) C 3) F 4) B 5) A

Answers: 1-1 2-4 3-1 4-3 5-1.

sNªÞœê¦ ví£øŒoõª, Ú© ¸ôí£æ̈ ›í@öËºxz

M. Somasekhar Prasad

Senior Faculty, RACE

Writer

ENGLISH

"Jumbled Sentences" is the one item

which most of you have been familiar

with since your school days. Use that

knowledge in answering this question

in competitive exams which usually

carries 5 marks.

Find the‘SAC’in the passageSome Useful Tips

H This item normally consists of 6 to 8 sen-

tences. Read the sentences closely to get

the central idea of the small passage.

H The writer generally makes a ‘Statement’(S)

about a topic in a couple of sentences.

Identify those sentences and place them at

the ‘Beginning’ of the passage.

H Then the writer develops his statement into

an ‘Argument’ (A) in a couple sentences.

These sentences make the “Middle’ of the

passage.

H Finally the writer gives a ‘Conclusion’ (C)

to his argument in a couple of sentences.

These sentences make the ‘Ending’ of the

passage.

H After rearranging the sentences into a

complete and meaningful passage, answer

the questions carefully.

Exercise - 6

A) Settlement in real time means the transac-

tion is not subjected to any waiting period.

B) It is a funds transfer mechanism.

C) Moreover as the money transfer takes place

in the books of the RBI it is final and irrevo-

cable.

D) The acronym RTGS stands for REAL TIME

GROSS SETTLEMENT.

E) While 'gross settlement' means the transac-

tion is settled without bunching it with any

other transactions.

F) The transfer of funds takes place on a real

time and gross basis.

1. Which of the following will be the FOURTH

sentence?

1) B 2) C 3) A 4) E 5) D


sentence?

1) B 2) A 3) E 4) D 5) C


tence?

1) A 2) D 3) C 4) F 5) E


tence?

1) C 2) B 3) D 4) F 5) E


tence?

1) A 2) F 3) D 4) E 5) C

Answers: 1-3 2-1 3-2 4-1 5-2.

Exercise - 3

A) The only way in which this problem can be

solved is by making article blood, which has

remained a distant dream for science.

B) Donation of blood is considered to be the

most noble of all charities.

C) If they succeed, it would be noted as one of

the most important inventions in the history

of mankind.

D) This is because this donated magic potion

can give life to another person in an emer-

gency.

E) A group of scientists, however, have dedi-

cated themselves towards making this a

reality.

F) A growing problem, however is that the

requirement for safe blood is increasing

whereas the number of donors is decreasing.


tence?

1) B 2) C 3) D 4) E 5) F


tence?

1) D 2) E 3) F 4) A 5) B


sentence?

1) D 2) E 3) F 4) A 5) C


tence?

1) F 2) A 3) D 4) B 5) C


tence?

1) B 2) D 3) F 4) E 5) A

Answers: 1-1 2-2 3-1 4-5 5-3.

Exercise - 4

A) Nobody likes to practice it no matter how

easy and beneficial it is.

B) An ounce of patience is worth, or at times

even better than, a pound of brains.

C) Patience, a virtue, is considered to be even

better than wisdom.

D) This is the worst drawback in us, in our

national character.

E) Everyone of us agrees with this fact in prin-

ciple, without reservation.

F) But, unfortunately, when it comes to practis-

ing patience, there is a problem.


tence?

1) B 2) A 3) C 4) D 5) F

2. Which of the following will be the THIRD

sentence?

1) B 2) A 3) E 4) D 5) F


tence?

1) C 2) E 3) F 4) B 5) D


tence?

1) B 2) C 3) D 4) E 5) F


sentence?

1) E 2) D 3) B 4) A 5) F

Answers: 1-2 2-3 3-1 4-3 5-3.

Exercise - 5

A) However, if this happens it will cause prob-

lems for the elderly who mainly use cheques.

B) The use of cheques has dramatically fallen

in the past few years.

C) Thus cheques may be phased out gradual-

ly, making sure that the needs of all cus-

tomers including the elderly are met.

D) This is because more and more customers

are transferring money electronically by

direct debit or credit cards.

E) Without cheques, they are likely to keep

large amounts of cash in their homes, mak-

ing themselves vulnerable to theft.

F) British banks have voted to phase cheques

out in favour of these more modern payment

methods.


tence?

1) B 2) A 3) D 4) F 5) C

2. Which of the following will be the THIRD

sentence?

1) C 2) D 3) F 4) A 5) B


sentence?

1) D 2) E 3) F 4) A 5) B


tence?

1) D 2) E 3) F 4) A 5) B


tence?

1) C 2) D 3) F 4) A 5) B

Answers: 1-2 2-3 3-1 4-2 5-5.

59. In the reaction sequence:

CH3 MgBr CO2CH3 − C ≡ C − H → A →

H2O/H+

H2/Pd + BaSO4B → C, C will be

H3C CH3

1) C C

H3C CH3

H3C MgHCO3

2) C C

H H

H H

3) C C

H3C COOH

H COOH

4) C C

H3C H

1) 2)

(A) (B)

(C)

3) 4)

1)

2) C2H5CHO

3)

4)

GH

find the‘sac’ in the passage - eenadu pratibha

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