class: sz3 jee-main model date: 19-07-2020 time: 3hrs wtm ... · class: sz3 jee-main model date:...

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: 040-45009999(360/341) : [email protected] : http://www.narayanagroup.com

Class: SZ3 JEE-MAIN MODEL Date: 19-07-2020

Time: 3hrs WTM-07 Max. Marks: 300

IMPORTANT INSTRUCTIONS

PHYSICS

Section Question Type +Ve

Marks - Ve

Marks No.of

Qs Total marks

Sec – I(Q.N : 1 – 20) Questions with Single Answer Type 4 -1 20 80

Sec – II(Q.N : 21 – 25) Questions with Numerical Answer Type

(+/ - Decimal Numbers) 4 0 5 20

Total 25 100

CHEMISTRY

Section Question Type +Ve

Marks - Ve

Marks No.of

Qs Total marks




Total 25 100

MATHEMATICS Section Question Type

+Ve Marks

- Ve Marks

No.of Qs

Total marks




Total 25 100

mailto:[email protected]

http://www.narayanagroup.com/

SZ3_JEE-MAIN_WTM-07_QP_Dt.19-07-2020

Narayana CO Schools

2

–:SZ3 Jee-Main Exam Syllabus (19-07-20):–

TOPICS

PHYSICS

PRESENT WEEK 50%:

Kinematics - 1D:Rest and Motion, Distance, Displacement, Average speed

and Instantaneous speed, Equations of motion (uniform acceleration),

Vertical motion, Worksheet Practice.

PREVIOUS WEEK 50%:

Multiplication of Vectors by a Scalar, Scalar Product, Vector Product,

Worksheet Practice

TOPICS

CHEMISTRY

PRESENT WEEK 50%:

Co - ordinate covalent bond (dative bond),, Properties of co - ordinate

covalent bond VBT, Vsepr theory, Hybridisation.

PREVIOUS WEEK 50%:

Crystal lattice of NaCl, CsCl, unit cell, coordination number, limiting radius

ratio, Properties of ionic compounds, Covalent bond, formation Lewis dot

structures, types, Co - valency, formal charge, Resonance, characteristics

of resonance, Properties of covalent compounds.

TOPICS

MATHS

PRESENT WEEK 50%:

DIstance Formula And Its Applications ( Ex:7.1 X Ncert)

PREVIOUS WEEK 50%:

Transformations: Standard Formulae of Trigonometric Transformations,

Conditional Identities, Related Problems.

SZ3 _JEE-MAIN_WTM-07_QP_Dt.19-07-2020

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SECTION-I(1-20)

(Single 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.

01. A boy walks to his school at a distance of 6 km with constant speed

of 2.5 kmph and walks back with a constant speed of 4 kmph. His

average speed for round trip expressed in kmph is

1) 24/13 2) 40/13 3) 3 4) 1/2

02. A body moving with a uniform acceleration had velocities of 20 m/s

and 30 m/s when passing the points P and Q of its path. Find the

velocity midway between P and Q (in m/s)

1) 450 2) 550 3) 650 4) 500

03. A particle has an initial velocity of 3 4i j+ and an acceleration of

0.4 0.3 .i j+ Its speed after 10 s is

1) 10 m/s 2) 7 m/s 3) 7 2 /m s 4) 8.5 m/s

04. If a body covers first half of its journey with uniform speed 1v and

the second half of the journey with uniform speed 2v , then the

average speed is

1) 1 2

2

V V+ 2) 1 2

1 2

2V V

V V

+

+ 3) 1 2

1 2

2VV

V V+ 4)

( )1 2

1 2

+V V

VV

05. The average speeds of 3 vehicles A, B and C are 18 km/h, 17 m/s

and 2 km/ min respectively arrange them in ascending order

1) A, B, C 2) B, C, A 3) C, A, B 4) C, B, A

06. A particle has an initial velocity of 9 m/s due east and a constant

acceleration of 2 m/s2 due west. The distance covered by the

particle in the fifth second of its motion is

1) 0m 2) 0.5 m 3) 2 m 4) 1 m


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07. Speeds of two identical cars are u and 4u at a specific instant with

uniform acceleration. The ratio of the respective distances in which

the two cars are stopped from that instant is

1) 1:1 2) 1: 4 3) 1: 8 4) 1:16

08. If a 26= , b 7= , and a b 35 = . Find a.b .

1) 10 2) 7 3) 8 4) 9

09. If ˆ ˆ ˆa 2i 6j 3k= + + , ˆ ˆ ˆb i j k= + + . If a b 0 = , find the value of

and

1) 3, 3/2 2) 3/2, 3 3) ½, 3 4) 3, 1/2

10. If A B 3 = A.B , then the value of A B+ is

1) 1/2

2 2 ABA B AB

3

+ +

2) A+B

3) ( )1/2

2 2A B 3AB+ + 4) ( )1/2

2 2A B AB+ +

11. The scalar product of two perpendicular vectors is _________

1) 2) 0 3) Positive 4) Negative

12. If ' ' is the angle between unit vectors A and ,B then ( )( )

1 .

1 .

A B

A B

−

+ is

equal to

1) 2sin2

2) 2cot2

3) 2

2tan

4) 2cos2

13. The angle between ( ) ( )A B and B A is ( in radian )

1) π/2 2) π 3) π/4 4) zero


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14. If 2 3 2 3A i j and B j k= + = + the component of B along A is

1) 6 2) 1

6 3)

6

13 4)

6

13

15. Cross product of two vectors is a_____________

1) Scalar 2) negative quantity

3) vector 4) None

16. The numerical value of the ratio of average velocity to average speed

is

1) always less than one 2) always equal to one

3) always more than one 4) equal to or less than one.

17. If car covers 2/5th of the total distance with 1v speed and 3/5th

distance with 2v then average speed is

1) 1 2

1

2v v 2) 1 2

2

v v+ 3) 1 2

1 2

2v v

v v+ 4) 1 2

1 2

5

3 2

v v

v v+

18. The correct equation of motion is

1) v u as= + 2) v ut a= +

3) 1

2S ut at= + 4) v u at= +

19. If ,A Band C are coplanar vectors, then

1) ( ). 0A B C = 2) ( ). 0A B C =

3) ( ). . 0A B C = 4) all the above are true

20. If two vectors A and B are parallel, then A B equal to

1) 0 2) B A 3) 4) None


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SECTION-II(21-25)

(Numerical Value Answer Type)

This section contains 5 questions. The answer to each question is a Numerical

values comprising of positive or negative decimal numbers (place value

ranging from Thousands Place to Hundredths Place). Eg: 1234.56, 123.45, -123.45, -1234.56, -0.12, 0.12 etc. Marking scheme: +4 for correct answer, 0 in all other cases.

21. The scalar product of two vectors is 2 3 and the magnitude of their

vector product is 2. The angle between them is _____________degree.

22. The value of ( ) ( )A B A B+ − is ( ).N B A Then the value of N s

23. A man walks at a speed of 6 /km hr for 1 km and 8 /km hr for the next

1 .km The average speed for the walk of 2 km is __________ /7

Nkm hr .

24. An old person moves on a semi-circular track of radius 40m during

a morning walk. If he starts at one end of the track and reaches at

the other end. The displacement covered of the person is

___________m.

25. An old person moves on a semi-circular track of radius 40m during

a morning walk. If he starts at one end of the track and reaches at

the other end. The distance covered of the person is ___________m.

(Given ( )3.14 = )


Narayana CO Schools

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SECTION-I(26-45)


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. Coordinate covalent bond is formed by

1) Transfer of electrons 2) Sharing of electrons

3) Donation of electrons 4) All

27. The orbital overlapping is maximum in

1) 2Cl 2) HI 3) HCl 4) HBr

28. Valence bond theory of Pauling and Slater accounts for the

following characteristic of covalent bond

1) Directional 2) Ionic

3) Strength 4) Hybrid

29. Shape of molecule is decided by

1) Sigma bond 2) Pi bonds

3) Both sigma and pi bonds 4) Neither sigma nor pi bonds

30. According to valence bond theory the predicted bond angle for 2H O

1) 90 2) 109 28' 3) 107 18' 4) 104 28'

31. Which is not a linear molecule

1) 2CO 2) 2 2C H 3) HCN 4) 2H O

32. Which one of the following is a correct set?

1) 3

2 ,H O sp , angular 2) 2

2 ,H O sp , linear

3) 2

4 ,NH dsp+ , square planar 4) 2

4,CH dsp , tetrahedral


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33. The s-character in the hybrid orbital of the central atom, present in

a molecule having the shape of an octahedron is

1) 25% 2) 75% 3) 40% 4) 16.66%

34. The formal charge the o-atom in the ion : :O N O+

= = is

1) 2− 2) +1 3) 1− 4) 0

35. Covalence of nitrogen in ammonium ion is

1) 2 2) 3 3) 4 4) 5

36. Select the correct Lewis structures out of the following

1) : :O C N−

− = cyanate ion 2) 2

:C C−

carbide ion

3) : :Cl O−

− hypochlorite ion 4) : :N O − nitrogen(II) oxide

37. Electron dot structure of 2SO is given below

:O S O − =

Formal charges on each atom are

1) O (left) : +1;S :0 ; O (right) : –1

2) O (left) :+1 ;S :0 ; O (right) :0

3) O (left) : –1;S :0 ; O (right) : –1

4) O (left) :0;S :0 ; O (right) : 0

38. Which of the following has coordination number is 4

1) ZnS 2) HgS

3) NaCl 4) Both 1 & 2

39. If radius ratio is 0.225-0.115 coordination number is

1) 3 2) 4 3) 6 4) 8


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40. Each unit cell of NaCl consists of 4 chloride ions and

1) 13 Na+ ions 2) 4 Na+ ions

3) 6 ions 4) 8 ions

41. In a crystal lattice, the number of nearest neighbours to each atom

is called as

1) Shape 2) Coordination number

3) Unit cell 4) All

42. The coordination number of Na+ in rock salt structure is

1) 4 2) 3 3) 6 4) 8

43. Compared with covalent compounds, electrovalent compounds,

generally have

1) Low melting points and low boiling points

2) Low melting points and high boiling points

3) High melting points and low boiling points

4) High melting points and high boiling points

44. For two ionic solids, CaO and KI . Identify the wrong statement

among the following

1) Lattice energy of CaO is much larger than that of KI

2) KI is soluble in benzene

3) CaO has higher melting point

4) KI has lower melting point

45. Which of the following conditions is correct for resonating

structures

1) Contributing structures should have similar energy

2) Position of atomic nuclei is similar in all resonating structures

3) The number of bonding and non-bonding pairs of electrons in

canonical structures should be similar

4) All

Na+ Na+


Narayana CO Schools

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SECTION-II(46-50)



values comprising of positive or negative decimal numbers (place value

ranging from Thousands Place to Hundredths Place). Eg: 1234.56, 123.45, -123.45, -1234.56, -0.12, 0.12 etc. Marking scheme: +4 for correct answer, 0 in all other cases.

46. Based on VSPER theory, number of lone pairs in 2XeF is

47. Most acidic H in the following compound is attached to c-atoms

denoted by at S.No 2 2

4 2 15 3

CH CH CH C CH= − −

48. How many of the following exhibit Isomorphism

I) 2 4K SO and 2 4K CrO

II) 4 2.7ZnSO H O and 4 2.7MgSO H O

III) NaF and MgO

IV) 2 2,K S KCl and CaCl

49. How many following compounds contain(s) no covalent bond(s)?

3 2 2 6 2 4, , , ,KCl PH O B H H SO

50. Find the number of molecules or ions in which d-orbitals is/are not

used in hybridisation

6 4 4 5 3 2 2 2 6 4 4, , , , , , , , ,PCl PCl IF IF XeO F ICl SF SF ASF SiF− + − + +


Narayana CO Schools

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SECTION-I (51-70)


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.

51. ( ) ( ) ( ) ( )Cos B C A Cos C A B Cos A B C Cos A B C+ − − + − + + − − + + =

1) 4sin cosA BcosC 2) 4sin cos sinA B C

3) 4cos cos sinA B C 4) 4cos sin cosA B C

52. If 2 ,A C B+ = then cos cos

sin sin

C A

A C

−=

−

1) cot B 2) cot 2B 3) tan2B 4) tan B

53. 0 0 0 0cos 20 sin 50 sin 5 cos65− =

1) 5 1

4

+ 2)

5 1

4

− 3)

3 1

4

− 4)

3 1

4

+

54. 0 0 0

2 0 01 1 12sin 8 4cos16 sin 7 sin 8 cos32

2 2 2+ + =

1) 3 1

2 2

− 2)

3 1

2 2

+ 3)

3 1

4 2

− 4)

3 1

2

+

55. If 4

cos cos ,5

x y+ = 2

cos cos ,7

x y− = then 14 tan 5cot2 2

x y x y− + + =

1) 0 2) 1

4 3)

5

4 4)

3

4

56. If 3

cos cos2

+ = and 1

sin sin ,2

+ = is the A.M of and , then

sin2 cos2+ is equal to

1) 5

2)

4

5 3)

7

5 4)

8

5

57. ( ) ( ) ( )

( ) ( )

sin 1 2sin sin 1

cos 1 cos 1

n A nA n A

n A n A

+ + + −=

− − +

1) tan2

A 2) 0tan 90

2

A −

3) tan A 4) cot A


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58. If 2 ,++ = then ( ) ( ) ( )cos cos cos cos++ − + − + − =

1) 4sin cos sin2 2 2

2) 4cos cos cos

2 2 2

3) 4sin sin sin2 2 2

4) 4sin sin sin

59. In sin sin sin

,sin sin sin

A B CABC

A B C

+ +

+ − is equal to

1) tan .cot2 2

A B 2) cot . tan

2 2

A B

3) cot .cot2 2

A B 4) tan . tan

2 2

A B

60. If 0270 ,A B C+ + = then cos2 cos2 cos2 4sin sin sinA B C A B C+ + + =

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

61. The coordinates of a point which divides externally the line joining

( )1, 3− and ( )3,9− in the ratio 1:3 is

1) ( )9, 3− 2) ( )9,3− 3) ( )3, 9− 4) ( )3,9

62. If the distance between the points ( ), 2a and ( )3,4 is 8, then ' 'a is

equal to

1) 2 3 15+ 2) 2 3 15−

3) 5 2 15 4) 3 2 15

63. The three points ( ) ( ) ( )2,2 , 8, 2 4, 3and− − − − are the vertices of

1) an isosceles triangle 2) an equilateral triangle

3) a right angled triangle 4) Scalene triangle

64. The points ( ) ( ) ( ) ( )4, 1 , 2, 4 , 4,0 , 2,3− − − − taken in order are the vertices

of a

1) Parallelogram 2) Rhombus

3) Rectangle 4) Square

65. The area of a triangle whose vertices are ( ) ( )1, 1 , 4,6− − and ( )3, 5− − is

( in sq.units)

1) 24 2) 26 3) 28 4) 42


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66. The coordinates of the point which divides the line segment joining

the points ( )4, 3− and ( )8,5 in the ratio 3:1 internally is

1) ( )3,7 2) ( )7, 3− − 3) ( )7,3− 4) ( )7,3

67. The points ( ) ( )1,2 , ( 3,4), 7, 1A B C− − are collinear. The ratio in which A

divides BC is

1) 2:3 2) 3:2 3) – 2:3 4) –3:2

68. The coordinates of three consecutive vertices of a parallelogram are

( ) ( )1,3 , 1,2− and ( )2,5 , then the coordinates of fourth vertex are

1) ( )6, 4 2) ( )4, 6− 3) ( )4, 6− − 4) ( )4,6

69. The points with the coordinates ( ) ( )2 ,3 , 3 ,2a a b b and ( ),c c are

collinear

1) for no values of , ,a b c 2) for all values of , ,a b c

3) if , ,5

ca b are in H.P 4) if

2, ,

5

ca b are in H.P

70. Let ( ) ( )1, , 1,1A k B and ( )2,1C be the vertices of a right angled triangle

with AC as its hypotenuse. If the area of the ABC is 1 sq unit. Then

set of values which k can take is given by

1) 1,3 2) 0, 2 3) 1,3− 4) 3, 2− −

SECTION-II(71-75)



values comprising of positive or negative decimal numbers (place value ranging from Thousands Place to Hundredths Place). Eg: 1234.56, 123.45, -

123.45, -1234.56, -0.12, 0.12 etc. Marking scheme: +4 for correct answer, 0 in all other cases.

71. The value of the expression 0 0

0

1 4sin10 sin 7019

2sin10

−

is equal to

72. If 0 0 0cos55 , cos65 , cos175 ,x y z= = = then ( )

264 xy yz zx+ + is equal to


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73. If P,Q are the points of trisection of ( ) ( )1, 2 , 5,6 ,A B− − then 3PQ is

equal to

74. The point P is equidistant from ( ) ( )1,3 , 3,5A B − and ( )5, 1C − . Then

2PA is equal to

75. If ( ) ( ) ( ) ( )3,4 , 1, 2 , 5,6 , , 4A B C D x= − = − − = = − are vertices of a

quadrilateral such that area of triangle 2ABD = (Area of triangle

ACD), then x is equal to

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class: sz3 jee-main model date: 19-07-2020 time: 3hrs wtm ... · class: sz3 jee-main model date:...

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