KEAM 2025 Question Paper Engineering with Answers (28 April 2025)

FOR KEAM EXAM PREPARATION

KEAM 2025
Question Paper ·
Engineering
EXAM YEAR TYPE SUBJECT INCLUDES

KEAM 2025 Question Paper Engineering Answers
DATE

28 April 2025

Notes · Sample Papers · Previous Year Papers · Mock Tests

m
m .co

m .co FINAL ANSWER KEY as
e m
se a g l
Question Paper Code: 14/2025/OL
Exam:KEAM 2025 ENGG-5
Date of Test: 28-04-2025

Let 𝐴 ={ 𝑥: 𝑥 is a positive multiple of 2 less than 36},
1. 𝐵 ={ 𝑥: 𝑥 is a positive multiple of 3 greater than 16}, and
𝑐 ={ 𝑥: 𝑥 is a positive multiple of 4 less than 42},. Then (𝐴 ∩ B) ∩ C=
m
.co
A) {12, 24, 36}
m
B) {12, 24}
m .co s e m
C) {24}
s e l a
D) {24, 36}
ϕ g l a ag
E)
a
Correct Answer : Option C

2. If 𝑛(𝐴) = 8, then the number of subsets of A which contain 2 or 6 elements is
A) 24
B) 28
C) 48
m
D) 56
m .co
E) 216
s e
g la
a
If𝑓(𝑥) = [2𝑥], where[𝑥] denotes the greatest integer function in x , then the image of
3. {-2.3, 2.9} is
A) {-5, 3}
B) {-5, 5}
C) {-4, 5}
{-3, 2}
D)
m
E)
om
{-4, 6}
c.Correct m.co
m s e
s e Answer : Option B
g l a
l a a
ag 4.A ) If0 𝑓(𝑥) = 𝑎𝑥 + 𝑏𝑥 then the co-efficient of 𝑥 in 𝑓(𝑓(𝑥)) is
B) 𝑎𝑏
C) 𝑎
D) 𝑎𝑏
E) 2𝑎𝑏
m .
Correct Answer : Option E
.co s e m
s em l a
g la ag
a For more Question Papers, Sample Papers, Notes & Syllabus visit Page 1 of 36

5. If 𝑧 = 1 + i 𝑡𝑎𝑛 θ , where π < θ< , then|𝑧| is equal to

A) 1+tan θ
B) 2tan θ
C) sec θ
D) -sec θ
E) cosec θ

6. If 𝑧 = then 𝑧 is equal to

A) 1+𝑖
B)

C)

D) 2(1 − 𝑖)
E) 1−𝑖

Correct Answer : Option C

7. If z is a complex number, then the minimum value of |𝑧 − 2 | + | 𝑧 − 4| is
A) √20
B) 4
C) 6
D) √6
E) 2

Correct Answer : Option E

The point 𝑧 = (1 + 𝑖) in the complex plane is rotated about the origin through an
√
8.
angle in the clockwise direction, then the new position of 𝑧 is

A) 2
B) 1
C)
√
(1 − 𝑖)

D) (1 − 𝑖)
E) 1−𝑖

Correct Answer : Option B

9. If the numbers 𝑥, 6, 𝑦, 54, 162 are in geometric progression, then is equal to

For more Question Papers, Sample Papers, Notes & Syllabus visit Page 2 of 36

m
m .co

c. o A ) 3 s e m
m a
se B)
C)
6
9 ag l
D) 12
E) 18

Correct Answer : Option C

10. If 1, 𝑎, 𝑏, 𝑐, 16 are in geometric progression, then √𝑎𝑏𝑐 is equal to
m
.co
A) 1
m
B) 2
m .co s e m
C) 6
s e l a
D) 4
g l a ag
E) 8
a

11. The sum of the geometric series √3 + √12 + √48 + ...up to 10 terms is
A) 1023 √3
B) 1024√3
m
.co
C) 511√3
D) 512√3
e m
E) 215√3
las
ag
Correct Answer : Option A

The sum and difference of the arithmetic mean and the geometric mean of two positive
12. integers are respectively, 18 and 8. Then the values of the two numbers are
A) 12 and 24
B) 2 and 24
C) 6 and 20
m
.co
D) 8 and 18
m
E)
.co 1 and 25
s e m
s em Correct Answer : Option E g l a
g la a
a 13.
A) 55
B) 10
C) 45
D) 135
E) 1
o m m .
Correct Answer : Option E .c e
em l as
la s ag
a g For more Question Papers, Sample Papers, Notes & Syllabus visit Page 3 of 36

Four digit numbers are formed using 0, 3, 4, 5, 9, 8 without repetitions. Then the number
14. of such 4 digits numbers is
A) 270
B) 300
C) 320
D) 400
E) 450

Correct Answer : Option B

A bag contains 5 red balls, 4 black balls, and 3 white balls. Then the number of ways of
15. selecting three balls at random that contains at least one white ball is
A) 220
B) 210
C) 180
D) 136
E) 74

Four fair dices are rolled. Then the number of ways in which the sum of upper faces of
16. four dices can be six, is
A) 4
B) 10
C) 15
D) 24
E) 36

Correct Answer : Option B

17. 2 + 𝐶 + 𝐶 +... 𝐶 =
A) 2
B) 2
C) 2
D) 2
E) 2

Correct Answer : Option B

18.

A) 6
B) 8
C) 12

For more Question Papers, Sample Papers, Notes & Syllabus visit Page 4 of 36

m
m .co

c. o D ) 18 s e m
m a
se E) 28
ag l
Correct Answer : Option A

19.

A) 3
B) 2 m
1 m .co
.co
C)
0 e m
D)

em l as
E) -3
l as ag
g
a : Option D
Correct Answer

1 1 1
20. If 𝐴 = 0 2 1 then |𝑎𝑑𝑗(𝑎𝑑𝑗𝐴)| is equal to
0 0 −2
A) 16
B) 256
m
.co
C) 128
D) -256
e m
E) -16
las
Correct Answer : Option B ag
If the following system of linear equations

21. 𝑥 − 2𝑦 + 𝑧 = 5
2𝑥 − 𝑦 + 2𝑧 = 7
𝑥 + 2𝑦 + λ 𝑧 = 5 has a unique solution, then λ ≠
m
.co
A) 1
B)
o m
-1
m
C .) c e
emD )
2
l as
l as E) -2
ag
ag
0

Correct Answer : Option A

22. If < 2, then x lies in the interval
A) ( − ∞, − 3) ∪ (1, ∞)
B) ( − ∞, − 1) ∪ (3, ∞)
( − ∞, 1) ∪ (3, ∞) m .
.co
C)

e m
D) (-3,-1)
em l as
las ag
ag For more Question Papers, Sample Papers, Notes & Syllabus visit Page 5 of 36

E) (1,3)

Correct Answer : Option C

23. The solution set of inequality |𝑥 + 2 | < 3 is
A) −1 < 𝑥 < 5
B) −5 < 𝑥 < 1
C) −1 < 𝑥 < 3
D) 1<𝑥<3
E) −1 < 𝑥 < 1

Correct Answer : Option B

24. If 𝑡𝑎𝑛(𝑥 − 𝑦) = , 𝑡𝑎𝑛(𝑥 + 𝑦) = and 0 < 𝑥, 𝑦 < , then 𝑡𝑎𝑛2𝑥 is

A) 62
B) 60
C) 54
D) 50
E) 55

25. The value of 𝑡𝑎𝑛 + 𝑡𝑎𝑛 + (𝑡𝑎𝑛 π/ 𝑡𝑎𝑛 π/ ) is equal to
A) 1
B) 2
C) √3
D) −√ 3
E) -1

Correct Answer : Option A

26. The period of the function 𝑓(𝑥) = 2𝑠𝑖𝑛4𝑥 + 3𝑐𝑜𝑠2𝑥 is

A)

B) π
C)

D) 2π
E) 3π

Correct Answer : Option B

27. − 𝑠𝑒𝑐 𝑥 =
A) 1

For more Question Papers, Sample Papers, Notes & Syllabus visit Page 6 of 36

m
m .co

c. o B ) tan2x s e m
m a
se C)
D)
sec2x
0 ag l
E) -1

Correct Answer : Option E

28. If θϵ , , then 𝑠𝑖𝑛 (𝑠𝑖𝑛 θ ) is equal to

θ m
.co
A)
m
.co
θ −π
B)
e m
C) θ −
e m l as
π − θ l as ag
D)
g
E) θ +a

29. If 𝑐𝑜𝑠 𝑥 + 𝑐𝑜𝑠 𝑦 + 𝑐𝑜𝑠 𝑧 = 3π , then(𝑥 + 𝑦 + 𝑧) is equal to
A) 1
3 m
.co
B)
C) 4
e m
D) -3
las
E)
ag

30. If 𝑠𝑖𝑛 𝑥 + 𝑠𝑖𝑛 𝑦= ,then 𝑐𝑜𝑠 𝑥 + 𝑐𝑜𝑠 𝑦 is equal to

A) −
m
B)

c o m m.co
C .) e
e m π
l as
l as D) ag
ag E )
Correct Answer : Option E

If the line joining of two points (1, 0) and (4, 3) is rotated about the point (1, 0) in counter
31. clockwise direction through an angle 15 ∘ , then the equation of the line in the new
position is
m .
A) √3𝑥 − 2𝑦 − √3 = 0
.co s e m
B) √3𝑥 − 𝑦 − √3 = 0
s em l a
g la ag
a For more Question Papers, Sample Papers, Notes & Syllabus visit Page 7 of 36

C) 𝑥+𝑦−1=0
D) 𝑥 + √3𝑦 − 1 = 0
E) 3𝑥 − 𝑦 − 3 = 0

Correct Answer : Option B

The point with integral coordinates on the line 𝑥 + 𝑦 = 1 , that lie at a distance 2 units
32. from the line 5𝑥 + 12𝑦 = 0 , is
A) (-7,8)
B) (-1,2)
C) (-12,13)
D) (-2,3)
E) (-3,4)

If the normal form of the equation of a straight line 𝑥 + √3𝑦 = 2√3 is 𝑥𝑐𝑜𝑠 α + 𝑦𝑠𝑖𝑛 α
33. = 𝑝 then the values of α and 𝑝 are respectively
A) and √6

B) and √6

C) and √3

D) and √3

E) and √6

Correct Answer : Option C

If the two circles (𝑥 − 2) + (𝑦 − 3) = 9 and (𝑥 − 2) + (𝑦 + 3) = 𝑎 intersect
34. in two distinct
points, then
A) 1<𝑎<6
B) 1<𝑎<7
C) 3<𝑎<7
D) 3<𝑎<4
E) 3<𝑎<9

Correct Answer : Option E

If one end of the latus rectum of the parabola 𝑦 = 16𝑥 is (4,8), then the coordinates of
35.
the other end of the latus rectum, are
A) (4,-16)
B) (4,10)
C) (4,-10)

For more Question Papers, Sample Papers, Notes & Syllabus visit Page 8 of 36

m
m .co

c. o D ) (4,16) s e m
m a
se E) (4,-8)
ag l
Correct Answer : Option E

If the length of the latus rectum of an ellipse is one-fourth of the major axis, then the
36. eccentricity of the ellipse is
√
A)

√
m
.co
B)
m
C)
√

m .co s e m
s e l a
D)
√

g l a ag
a
E)

Correct Answer : Option A

37. The distance between the foci of the hyperbola 𝑥 − 4𝑦 = 16, is
A) 2√5
m
B) 4√5
m .co
C) 4√3
s e
D) 5√3
g la
E) 5√2 a
Correct Answer : Option B

The unit vector that bisects the angle between two vectors 2𝑖 + 𝑗 + 2𝑘 and 𝑖 + 2𝑗 − 2
38. 𝑘 is

A)
m
.co
√
m
B)
c. o √ s e m
s emC ) g l a
g la √
a
a D)
√

E)
√

Correct Answer : Option E

39. Let and m
be two unit vectors, and θ be the angle between them.If - is a unit
.
vector,then θ is equal to c. o s e m
s em l a
g la ag
a For more Question Papers, Sample Papers, Notes & Syllabus visit Page 9 of 36

A)

B)

C)

D)

E)

Correct Answer : Option A

40. If →
→ →→ →→
𝑎 = 𝑖 + 2𝑗 − 2𝑘 and 𝑏 = 2𝑖 + 𝑗 + 2𝑘 then a unit vector perpendicular to 𝑎 + 𝑏 and 𝑎 - 𝑏 is

A)

B)

C)
√

D)

E)
√

Correct Answer : Option B

→→
Let 𝑎 , 𝑏 and →
→
𝑐 be the sides of a triangle ABC such that 𝐵𝐶 = →
→ → →
𝑎 , 𝐶𝐴 = 𝑏 and𝐴𝐵 = →
𝑐 .If
41. BC=AC=3 and
→ → →
𝑏 . 𝑐 = − 9 then →
𝑎 . 𝑏 is equal to
A) 27
B) 9
C) 3√3
D) 0
E) −3√3

The equation of the straight line joining the points (1, 2,3) and (3, 4, k) is = =
42. . Then the value of 𝑘 is

A) 4
B) 5
C) 7
D) 10

For more Question Papers, Sample Papers, Notes & Syllabus visit Page 10 of 36

m
m .co

c. o E ) 13 s e m
m a
se Correct Answer : Option E ag l
The projection of a line segment on the co-ordinate axes are 5, 6,8 . Then the length of
43. the line segment is
A) 5
B) 5√5
C) 6
m
.co
D) 6√6
m
E) 6√5
.co s e m
s em l a
la ag
Correct Answer : Option B

ag
44. The shortest distance between the point (2, 3, 4) and the line = = is

A) 12
B) 9
C) 3
D) √5
√3
E)
m
.co
Correct Answer : Option C
s em
g
If a point P with 𝑥 -coordinate 7 lies lona the line joining the points A (1, 2, 3) and B (4, 6,
a P are
45. 8) then the coordinates of the point
A) (7,10, -13)
B) (7,-10, 13)
C) (7,10, 12)
D) (7,10, 13)
E) (7,10, 15)

m
.co
m
m .co s e m
s e46. If the point (3,6, k) lie on the line = = a
, then the value of k is
g l
g la A ) 2 a
a B) 3
C) 9
D) -2
E) -3

Correct Answer : Option C

47. m .
.co
The mean deviation from mean of the five numbers 2, 4, 6, 8, 10 is
e m
A) 2.4
em l as
las ag
ag For more Question Papers, Sample Papers, Notes & Syllabus visit Page 11 of 36

B) 3.6
C) 4.8
D) 6
E) 0

Correct Answer : Option A

If the standard deviation of six numbers 𝑥 , 𝑥 , 𝑥 , 𝑥 , 𝑥 , 𝑥 is 4,then the variance of
48. 2𝑥 + 3, 2𝑥 + 3, 2𝑥 + 3, 2𝑥 + 3, 2𝑥 + 3, 2𝑥 + 3 is
A) 64
B) 67
C) 16
D) 19
E) 8

Correct Answer : Option A

A die is rolled once. If the die shows odd number, then the probability of getting other
49. than 5 is
A)

B)

C)

D)

E)

50.
A) 0.36
B) 0.6
C) 0.64
D) 0.44
E) 0.24

Correct Answer : Option C

51. If 𝑓(𝑥) + 3𝑓(1 − 𝑥) = 𝑥 + 4, then 𝑓(𝑥)=

A)

B)

C)

For more Question Papers, Sample Papers, Notes & Syllabus visit Page 12 of 36

m
m .co

c. o D ) s e m
m a
se ag l
E)

Correct Answer : Option B

( ) ( )
52. If 𝑓(𝑥) = √10 − 𝑥, then 𝑙𝑖𝑚 is equal to
→
3
m
A)

m .co
.co
B)

e m
C)
e m l as
l as ag
D) −
ag
E)

( )( )
53. The value of 𝑙𝑖𝑚 is equal to
→
m
A) 0
-2 m .co
B)
s e
C) 2
g la
D) -1
a
E) −

54.
m
A)
c o0m m.co
B .) e
m
e C) 6
4
l as
l as ag
ag E ) 12
D) 8

Correct Answer : Option E

55. The set of all points where the function 𝑓(𝑥) = , 𝑥 ϵ ℝ , is discontinuous, is
A) {0,2}
{0,4} m .
.co
B)
{0,-2,2} e m
C)

em l as
D) {2,4}
las ag
ag For more Question Papers, Sample Papers, Notes & Syllabus visit Page 13 of 36

E) {-2,2}

Correct Answer : Option E

56. If (𝑥𝑒) − 𝑒 = 0, then at 𝑥 = 1 is

A) 0
B) 2
C)

D)

E) 4

Correct Answer : Option A

57. If 𝑦 = 𝑠𝑖𝑛𝑥 𝑠𝑖𝑛2𝑥, and 𝑡 = 𝑐𝑜𝑠𝑥, then is

A) 2(3𝑡 − 1)
B) 1 − 3𝑡
C) (1 − 3𝑡 )
D) (3𝑡 − 1)
E) 2(1 − 3𝑡 )

Correct Answer : Option E

58. If 𝑦 = 𝑠𝑖𝑛 2𝑥√1 − 𝑥 ,then at x=0 is

A) 0
B) 1
C) 2
√
D)

E) -1

Correct Answer : Option C

( )
59. If (𝑓(𝑥)) = 𝑓(𝑛𝑥),then is
( )
A) (𝑓(𝑥))
B) 𝑛𝑓(𝑛𝑥)
( )
C)
( )
(( ) )
D)
( )

For more Question Papers, Sample Papers, Notes & Syllabus visit Page 14 of 36

m
m .co

c. o E ) ( )
s e m
m a
se ( )
ag l
Correct Answer : Option C

60. If 𝑥 = 𝑠𝑖𝑛θ, 𝑦 = 𝑐𝑜𝑠 θ ,then 𝑥 is

A)

m
.co
B)
m
C)
m .co s e m
s e l a
D)
g l a ag
a
E)

Correct Answer : Option B

61. If 𝑦 = (5𝑥 − 2)𝑒 , then is equal to
m
.co
A) 𝑒 (5𝑥 + 8)
B) 𝑒 (5𝑥 − 3)
e m
C) 𝑒 (5𝑥 + 5) las
D) 𝑒 (5𝑥 + 3) ag
E) 𝑒 (5𝑥 − 5)

Correct Answer : Option A

If the function 𝑓(𝑥) = 𝑎𝑥 − 9𝑥 + 6𝑎𝑥 + 6 attains maximum at 𝑥 = 1 and
62. minimum at 𝑥 = 2 , then the value of 𝑎 is
m
.co
A) 6
m
B)
C .)
co 5
s e m
emD )
4
s g l a
l a 3
a
ag E ) 2

Correct Answer : Option E

63. The function 𝑓(𝑥) = 𝑠𝑖𝑛 θ + 𝑐𝑜𝑠 θ , 0 ≤ 𝑥 ≤ 2π is decreasing in the interval
A) 0≤𝑥<π
B) 0≤𝑥≤
m .
C) ≤𝑥≤ .co s e m
s em l a
g la ag
a For more Question Papers, Sample Papers, Notes & Syllabus visit Page 15 of 36

D) ≤ 𝑥 ≤ 2π

E) ≤𝑥≤

Correct Answer : Option C

64. If 𝑥 + 𝑦 = 50, then the maximum value of 4𝑥𝑦 is
A) 25
B) 50
C) 100
D) 625
E) 2500

Correct Answer : Option B

65. ∫ 𝑐𝑜𝑡𝑥(1 − 𝑐𝑜𝑠𝑒𝑐 𝑥 )𝑒 𝑑𝑥 is
A) 𝑒 cot 𝑥 + 𝐶
B) −𝑒 𝑐𝑜𝑡𝑥 + 𝐶
C) 𝑒 cosec 𝑥 + 𝐶
D) −𝑒 𝑐𝑜𝑠𝑒 c 𝑥 + 𝐶
E) 𝑒 cosec 𝑥 cot 𝑥 + 𝐶
Correct Answer:-Question Cancelled

66. ∫ / / is

A) 3𝑡𝑎𝑛 𝑥 + 𝐶
B) 3𝑡𝑎𝑛 / 𝑥 + 𝐶
C) −3𝑡𝑎𝑛 / 𝑥 + 𝐶
D) −3𝑡𝑎𝑛 / 𝑥 + 𝐶
E) 3𝑡𝑎𝑛 / 𝑥 + 𝐶

67. ∫ 𝑥(1 − 𝑥) 𝑑𝑥 =
( ) ( )
A) − +𝐶
( ) ( )
B) + +𝐶
( ) ( )
C) − +𝐶
( ) ( )
D) + +𝐶
( ) ( )
E) − +𝐶

For more Question Papers, Sample Papers, Notes & Syllabus visit Page 16 of 36

m
m .co

m .co s e m
se Correct Answer : Option A
g l a
a
68.
A) 2𝑐𝑜𝑠2𝑥 + 𝐶
B) −2𝑐𝑜𝑠2𝑥 + 𝐶
C) 2𝑠𝑖𝑛2𝑥 + 𝐶
D) 2𝑥 + 𝐶
m
E) 𝑥+𝐶
c o m m .co
m . D s e
Correct Answer : Option
s e l a
g l a ag
69. a
A) 6
B) 4
C) 2
D)

m
.co
E)

e m
las
ag
70.
A) 4
B) 3
C) 2
D) 1
m
.co
E) 0
m
.co Correct Answer : Option C
s e m
s em g l a
g la 71. a
a A) -2
B) -1
C) 0
D) 1
E) 2

m .
.co s e m
s em l a
g la ag
a For more Question Papers, Sample Papers, Notes & Syllabus visit Page 17 of 36

72.
A) 18
B) 9
C) 6
D) 3
E) 4.5

Correct Answer : Option B

73. The general solution of the differential equation 𝑦𝑑𝑥 − 𝑥𝑑𝑦 = 𝑦 (𝑥𝑑𝑦 + 𝑦𝑑𝑥) is

A) = 𝑥𝑦 + 𝐶

B) = 𝑥𝑦 + 𝐶

C) = 𝑥𝑦 + 𝐶
D) 𝑥 + 𝑦 = 𝑥𝑦 + 𝐶
E) = 𝑥𝑦 + 𝐶

Correct Answer : Option E

74. The solution of the linear differential equation +𝑦=𝑒 , when 𝑥 = 0, 𝑦 = 1,is

A) 𝑦𝑒 = 𝑥 − 1
B) 𝑦𝑒 = 𝑒 − 1
C) 𝑦𝑒 = 𝑥 + 1
D) 𝑦𝑒 = 𝑒 + 1
E) 𝑦𝑒 = 𝑥 − 1

Correct Answer : Option C

The shaded region ABC shown in the diagram is given by the inequalities

75.

A) 𝑥 + 𝑦 ≤ 3, 3𝑥 + 5𝑦 ≥ 15, 𝑥 ≥ 0, 𝑦 ≥ 0.
B) 𝑥 + 𝑦 ≥ 3, 3𝑥 + 5𝑦 ≤ 15, 𝑥 ≥ 0, 𝑦 ≥ 0.
C) 𝑥 + 𝑦 ≤ 3, 3𝑥 + 5𝑦 ≤ 15, 𝑥 ≥ 0, 𝑦 ≥ 0.
D) 𝑥 + 𝑦 ≥ 3, 3𝑥 + 5𝑦 ≥ 15, 𝑥 ≥ 0, 𝑦 ≥ 0.
E) 𝑥 + 𝑦 ≤ 3, 3𝑥 + 5𝑦 = 15, 𝑥 ≥ 0, 𝑦 ≥ 0.

For more Question Papers, Sample Papers, Notes & Syllabus visit Page 18 of 36

m
m .co

m .co s e m
se Correct Answer : Option B
g l a
a
76. When a metallic sphere is heated, maximum percentage change will be observed in its
A) volume
B) radius
C) diameter
D) surface area
E) mass
m
m .co
.co
Correct Answer : Option A
e m
e m l as
77.
l as
The dimensions of ratio of energy to Planck’s constant are those of
ag
A)
B)
time
a g
velocity
C) frequency
D) linear momentum
E) angular momentum

Correct Answer : Option C

m
.co
A garden roller of weight 100 kg is pulled with a force of 300 N acting at an angle of 30°
78. with the ground. The effective pulling weight of the roller in (kg wt) is (g = 10 ms – )
e m
A) 850
las
B)
C)
725
800 ag
D) 820
E) 700

Correct Answer : Option A

When a body starts from rest and moves with uniform acceleration, then its
79. instantaneous displacement s is related to time t as m
A)
c o𝑠m∝ 𝑡
m.co
B .) s e
m
e C) 𝑠 ∝ 𝑡
𝑠∝𝑡 /
l a
l as ag
ag D ) 𝑠 ∝ 𝑡
E) 𝑠∝𝑡

A particle moving in a circular path, covers equal distances in equal intervals of time.
80. Then the quantity associated with the particle that remains constant with time is
A) displacement
m .
B) velocity
.co s e m
C) speed
s em l a
g la ag
a For more Question Papers, Sample Papers, Notes & Syllabus visit Page 19 of 36

D) acceleration
E) linear momentum

Correct Answer : Option C

A body of mass 2 kg is moving with a velocity of 10 ms . If a force of 50 N is applied on
81.
it for 10 s along its motion, the velocity of the body (in ms ) is
A) 220
B) 200
C) 150
D) 175
E) 260

Correct Answer : Option E

A body of mass 5 kg collides with a wall with a speed of 50 ms – and rebounds with the
82. same speed. If the time of contact of the body with the wall is 𝑠 the force exerted on
the wall is
A) 0.5 × 10 𝑁
B) 2.5 × 10 𝑁
C) 2 × 10 𝑁
D)

E) 4 × 10 𝑁

Power of an engine driving a vehicle of mass 𝑚 with a speed 𝑣 on a horizontal road is
83. (μ is the coefficient of friction between the road and the tyre)

A)

B) μ 𝑚𝑔𝑣
C) μ 𝑚𝑔𝑣
D)

E)

Correct Answer : Option B

84. In a perfectly inelastic head on collision
A) kinetic energy is conserved
B) total energy is not conserved
C) linear momentum is not conserved

For more Question Papers, Sample Papers, Notes & Syllabus visit Page 20 of 36

m
m .co

c. o D ) two bodies move as one body after collision s e m
m a
se E) two bodies move separately in different directions
ag l

A rotating fly wheel with an initial angular speed of 4 rad s – has an angular
85. acceleration of
2 rad s – . The angle (in radian) it will turn in a time of 4s from the start is
A) 32
m
.co
B) 16
m
.co
8
C)
e m
D) 64
em l as
E) 24
las ag
g
a : Option A
Correct Answer

86. Radius of gyration of a uniform circular disc of radius R about its diameter is

A)

B) 2R
C) R
m
D)

m .co
s e
la
E)

ag
Correct Answer : Option E

When two rigid bodies with moments of inertia 𝐼 and 𝐼 and angular velocities ω and
87. ω respectively are coupled in such a way that their rotation axes coincide, the angular
velocity of the combination is ω .Then
A) (𝐼 ω + 𝐼 ω ) = (𝐼 + 𝐼 )ω
𝐼 ω − 𝐼 ω = (𝐼 + 𝐼 )ω m
.co
B)

o m
𝐼 𝐼 ω ω =𝐼 𝐼 ω
m
C)
. c s e
emD )
(𝐼 + 𝐼 )(ω + ω ) = (𝐼 + 𝐼 )ω
s E) g l a
l a ω +ω =ω
a
ag Correct Answer : Option A

If K is the kinetic energy of a satellite at a height h from the surface of earth, then its total
88. energy is
A) -K
B) 2K
√𝐾
C)
m .
− .co s e m
em
D)

s l a
g la ag
a For more Question Papers, Sample Papers, Notes & Syllabus visit Page 21 of 36

E) −

Correct Answer : Option A

The force between two identical solid spheres each of radius r kept in contact is F . If the
89. distance of their centres is made 4r, then the force between them is
A)

B)

C)

D)

E)

Correct Answer : Option B

90. Global warming leads to
A) falling of sea level
B) lowering of the average temperature of earth
C) static weather pattern
D) melting of ice caps at slower rate
E) expansion of desert

Correct Answer : Option E

The specific heat capacity at constant volume Cv of a mole of an ideal gas is related to
91. the gas constant R and the ratio of the specific heats Υ as

A)

B)

( )
C)

D)
( )

E)
( )

Correct Answer : Option A

92. When a gas is compressed in an insulated vessel
A) its internal energy decreases
B) its temperature decreases
C) both its pressure and volume increase
D) both its temperature and volume increase

For more Question Papers, Sample Papers, Notes & Syllabus visit Page 22 of 36

m
m .co

c. o E ) both its temperature and internal energy increase s e m
m a
se Correct Answer : Option E ag l
The statement, the total pressure of a mixture of ideal gases is the sum of partial
93. pressures, is called as
A) Boyle’s law
B) Charles’ law
C) Dalton’s law
Perfect gas law m
.co
D)
Law of equipartition m
.co
E)

e m
em C
Correct Answer : Option
l as
l as a g
ag molecule
If the temperature
94. the gaseous
of a gas is changed to 9 times the initial value, then the rms velocity of
increases by
A) 9 times
B) 3 times
C) √3 times
D) 18 times
E) 12 times

m
Correct Answer : Option B
m .co
s e
la
For an ideal gas at temperature T having the total number of molecules N , the product of
95.
g
the pressure and volume, PV is equal to ( k is the Boltzmann constant)
a
A) 2𝑁𝑇
B) 𝐾 𝑁𝑇
C) 𝐾 𝑇√𝑁
D) 𝐾 𝑁√𝑇
E) 𝑁𝑇
m
m
Correct Answer : Option B

c. oIf the mean kinetic energy of one mole of helium gas at 400 K temperature
m is 5000 J, .co
m then that for one mole of neon gas at 800 K is s e
s e96. g l a
la A ) 5000 J a
ag B) 50000 J
C) 10000 J
D) 2500 J
E) 500 J

Correct Answer : Option C

m .
.co
If T and ρ represent the temperature and density of a gas ,then the velocity of sound in
97.
e m
the gas is directly proportional to
em l as
las ag
ag For more Question Papers, Sample Papers, Notes & Syllabus visit Page 23 of 36

A) √𝑇
B) ρ
C) 𝑇
D) ρ
E) 𝑇

Correct Answer : Option A

98. For smaller angular displacement, the period of a simple pendulum depends on
A) its amplitude
B) its phase constant
C) its energy
D) the mass of the bob
E) its length

Correct Answer : Option E

If the speed of transverse waves on a stretched wire of linear density 7 x 10 kg m is
99.
100 ms , then the tension in the wire is
A) 60 N
B) 600 N
C) 700 N
D) 70 N
E) 80 N
Correct Answer:-Question Cancelled
Force between two charges +8 μC and +2 μC is 16 N. If the charges are brought into
100. contact and then separated by the same distance, the force between them is
A) 25 N
B) 20 N
C) 30 N
D) 15 N
E) 12 N

Correct Answer : Option A

If the work done in moving a charge of 3 C from A to B is 12 J, then the potential
101. difference between A and B is
A) 5V
B) 4V
C) 36 V
D) 26 V
E) 10 V

For more Question Papers, Sample Papers, Notes & Syllabus visit Page 24 of 36

m
m .co

m .co s e m
se Correct Answer : Option B
g l a
a
The magnitude of the torque experienced by an electric dipole of dipole moment P placed
102. at an angle of 30⁰ in a uniform electric field E is
A) PE
√
B) 𝑃𝐸

C)
m
m .co
.co
D)
√
e m
em l as
s
E)

la ag
√

g
a : Option C
Correct Answer

103. The 𝑟𝑚𝑠 value of 𝑎 . 𝑐 with peak value of 200 V is
A) 100𝑉
B)
√
𝑉
C) 300𝑉
m
.co
D) 200√2𝑉
𝑉 e m
E)
√
las
Correct Answer : Option B ag
104. Mobility is the drift velocity per unit
A) charge
B) volume
C) electric field
D) current
m
.co
E) time
om Answer : Option C
c.Correct e m
em l as
las g
The resistivity of a metallic wire is directly proportional to (Ta– temperature; τ average
ag 105. time of collisions of free electrons; n – number of free electrons per unit volume; A – area
of cross-section)
A) 𝑛
B) τ
C) 𝐴
D)

m .
E)
.co s e m
s em l a
g la ag
a For more Question Papers, Sample Papers, Notes & Syllabus visit Page 25 of 36

106. Gyromagnetic ratio of an electron is the ratio between
A) charge and angular momentum
B) magnetic moment and angular acceleration
C) magnetic moment and angular momentum
D) charge and angular momentum
E) magnetic moment and angular velocity

Correct Answer : Option C

For a circular coil carrying current, the thumb in the right hand thumb rule gives the
107. direction of
A) magnetic field
B) Current
C) induced emf
D) electric field
E) electric force

Correct Answer : Option A

108. In synchrotron, the required high magnetic fields are generated by
A) solenoid only
B) electromagnet only
C) toroid only
D) solenoid and electromagnet
E) solenoid and toroid

Correct Answer : Option E

The power required to push the arm of a rectangular conductor with a constant speed 𝑣
109. in a motor is directly proportional to
A) 𝑣
B) 𝑣
C) √𝑣
D) √𝑣
E) 𝑣

Correct Answer : Option B

A 1 kW bulb radiates light uniformly in all directions. The intensity at a point on the
110. surface of the surrounding sphere of area 200 m is (in Wm – )
A) 2
B) 4
C) 5

For more Question Papers, Sample Papers, Notes & Syllabus visit Page 26 of 36

m
m .co

c. o D ) 6 s e m
m a
se E) 8
ag l
Correct Answer : Option C

111. The transverse nature of electromagnetic waves is confirmed by the phenomenon of
A) diffraction
B) polarization
C) photoelectric effect
m
.co
D) interference
m
.co m
E) total internal reflection
s e
s em l a
ag
Correct Answer : Option B

g la
If two a
waves of equal amplitude A and opposite phase interfere, the amplitude of the
112. resultant wave is
A) A
B) 2A
C) A/2
D) 0
E) 𝐴
m
.co
em

s
laofisdeviation
g
At the lowest point of the plot of angle
113. triangular prism, the angle of incidence
a equal to
versus the angle of incidence of a

A) the angle of refraction at the first face
B) the angle of refraction at the second face
C) the angle of emergence
D) the angle of prism
E) half of the angle of prism

m
.co
Correct Answer : Option C

o m m
.
114. c Plane polarized light can be produced by the phenomenon of
s e
s emA ) reflection g l a
la B ) dispersion a
ag C) diffraction
D) scattering
E) interference

Correct Answer : Option A

Above the threshold frequency, if the intensity of incident light falling on a photo sensitive
115. material is increased, then the correct statement is:
m .
A) .co
The number of emitted electrons increases
s e m
B)
s em
The maximum kinetic energy of electrons increases l a
g la ag
a For more Question Papers, Sample Papers, Notes & Syllabus visit Page 27 of 36

C) The stopping potential increases
D) The number of electrons emitted decreases
E) The stopping potential decreases

Correct Answer : Option A

The ratio between the wavelengths of the air column vibrating in the first two modes in an
116. open organ pipe is
A) 2:1
B) 1:2
C) 1:1
D) 1:3
E) 6:1

Correct Answer : Option A

Light of wavelength 𝑚 is emitted by a hydrogen atom during the transition of
117.
electrons from the state
A) 𝑛 = 3 to 𝑛 = 2
B) 𝑛 = 4 to 𝑛 = 1
C) 𝑛 = 4 to 𝑛 = 2
D) 𝑛 = 4 to 𝑛 = 3
E) 𝑛 = 3 to 𝑛 = 1

Correct Answer : Option A

118.
A) 𝑡
B)

C) 2𝑡
D) 4𝑡
E)

Correct Answer : Option B

119. The I-V characteristic of a semiconductor diode in forward bias is a/an:
A) straight line
B) parabolic curve
C) exponentially decreasing curve
D) exponentially increasing curve
E) sinusoidal curve

For more Question Papers, Sample Papers, Notes & Syllabus visit Page 28 of 36

m
m .co

c. o120. The 𝑝𝑛 junction diode acts as a rectifier because: s e m
m a
se A) it conducts in both directions
ag l
B) it blocks current in reverse bias
C) it allows ac to pass
D) it amplifies the signal
E) it offers a phase difference between voltage and current

Correct Answer : Option B

m
.co
Which of the following has the highest molar mass?
121. (Atomic mass: N=14, m
co
O=16, Ag=108, Pb=208, Na=23, H=1, K=39)
. e m
A) Silver nitrate
em l as
B) Lead nitrate
l as ag
C)
D) ag
Ammonium nitrate
Sodium nitrate
E) Potassium nitrate

Correct Answer : Option B

When the uncertainty in momentum is zero then the uncertainty in the position of a
122. particle is
h/4π m
.co
A)
B) 1
e m
C) 2
las
D)
E)
½
infinity ag
Correct Answer : Option E

123. Which of the following statement is NOT true with Bohr’s model of atom?
A) It accounts the stability and line spectra of He
It fails to account for the finer details of the hydrogen atom spectrum by using
B)
m
.co
sophisticated spectroscopic techniques.
m
C)
D .)
co It is unable to explain the spectrum of atom/ion which possess only two electrons.
s e m
emE )
It only explains about the splitting of spectral lines in the presence of electric field.
s It is unable to explain the ability of atoms to form molecules by chemical bonds.
g l a
l a a
ag Correct Answer : Option D

124. Which of the following statement is INCORRECT with p-block elements?
A) p-Block elements comprise of Group 13 to Group 18.
B) The outer electronic configuration of p-block elements is ns 𝑝 .
C) Halogens belongs to Group 16.
D) Gallium and Bromine are liquids.
m .
E) .co
The zero group elements having general formula ns2p6 are inert, because their energy
s e m
em
levels are completely filled.
s l a
g la ag
a For more Question Papers, Sample Papers, Notes & Syllabus visit Page 29 of 36

Correct Answer : Option C

125. Which of the following molecule has zero dipole moment?
A) BF
B) CH Cl
C) NH
D) SO
E) NF

Correct Answer : Option A

Types of system and their definitions are given below:

126.

Choose the correct match from the following codes:
A) (a)-(i), (b)-(ii), (c)-(iii), (d)-(iv), (e)-(v)
B) (a)-(ii), (b)-(i), (c)-(iii), (d)-(iv), (e)-(v)
C) (a)-(i), (b)-(ii), (c)-(iv), (d)-(iv), (e)-(iii)
D) (a)-(v), (b)-(i), (c)-(ii), (d)-(iii), (e)-(iv)
E) (a)-(v), (b)-(ii), (c)-(i), (d)-(iii), (e)-(iv)

The Δ H˚ for the following reaction at 25˚C is

127. (Given: Δ H˚ (Ag , aq) = 105.6 kJ mol ,

Δ H˚ (Cl , aq) = -167.2 kJ mol and

Δ H˚ (AgCl, s) = -127.1 kJ mol )

A) 6.0 kJ mol
B) 65.5 kJ mol
C) -65.5 kJ mol
D) -6.0 kJ mol
E) 100 kJ mol
Correct Answer:-Question Cancelled
128. The pH of a solution is 4 then it’s OH ion concentration (in mol dm ) is

For more Question Papers, Sample Papers, Notes & Syllabus visit Page 30 of 36

m
m .co

c. o A ) 10 s e m
m a
se B) 10
ag l
C) 10
D) 10
E) 10

Correct Answer : Option B

m
c o m
4 g of NaOH were dissolved in 1 litre of a solution containing 1 mole of CH COOH and 1
m .co
129. mole of CH COONa.m . The [H ] in the resultant solution is s e
s e l a
(Given: g
Ka
a
l (CH COOH) = 1.1×10 ) ag
a
A) 1.47 ×10 M
B) 2×10 M
C) 2.5×10 M
D) 1.5×10 M
E) 0.9×10 M
m
.co
em
Correct Answer : Option E

las
130. Which of the following statement isgINCORRECT for the concept of oxidation?
A) Addition of oxygen a
B) Removal of hydrogen
C) Decreases in number of positive charges
D) Decreases in number of negative charges
E) Removal of an electron

Correct Answer : Option C
o m
131. o c
m of the following statement is true for the electrochemical, Danielm.cell?
c Which
. Electrons flow from copper electrode to zinc electrode. s e
e m
A)
l a
l as B) Current flows from zinc electrode to copper electrode.
a g
ag CD )) Cation moves toward copper electrode.
Cation moves toward zinc electrode
E) Reduction occurs at cathode.
Correct Answer:-Question Cancelled
The osmotic pressure of 0.01 M aqueous solution of urea at 300 K is
132. (R = 0.082 lit atm mol )
A) 0.0082 atm
0.082 atm m .
.co
B)
2.46 atm e m
C)
24.6 atm em l as
D)

las ag
ag For more Question Papers, Sample Papers, Notes & Syllabus visit Page 31 of 36

E) 0.246 atm

Correct Answer : Option E

The first order rate constant for the decomposition of N O is 6.93×10 sec . Its half-
133.
life period is
A) 1000 s
B) 100 s
C) 10 s
D) 1s
E) 10000 s

Correct Answer : Option A

134. Which of the following is a zero order reaction?
A) Decomposition of H O catalysed by iodide in alkaline medium.
B) Artificial radioactive decay of unstable nuclei.
C) Decomposition of N O
D) Decomposition of N O
E) Decomposition of gaseous ammonia on a hot platinum surface.

Correct Answer : Option E

Which of the following outermost electronic configuration of the element shows the
135. highest oxidation state?
A) 3d 4s
B) 3d 4s
C) 3d 4s
D) 3d 4s
E) 3d 4s

Correct Answer : Option C

136. CrO is a/an
A) acidic oxide
B) basic oxide
C) neutral oxide
D) amphoteric oxide
E) reducing agent

Correct Answer : Option A

137. Which of the following statement is INCORRECT?
A) Transition metals and many of their compounds show paramagnetic behaviour.

For more Question Papers, Sample Papers, Notes & Syllabus visit Page 32 of 36

m
m .co

c. o B ) The enthalpies of atomisation of the transition metals are high.
s e m
m C ) The transition metals generally form coloured compounds.la
se D) Transition metals and their many compounds act as goodag catalyst.
E) Zn, Cd and Hg are very hard and have very low volatility.

Correct Answer : Option E

138. The correct order of ionic radii of Ce, La, Pm and Yb in +3 oxidation state is
A) La < Pm < Ce < Yb
m
B) La < Ce < Pm
m < La
< Yb
.co
C) Yb < Ce .co
< Pm
s e m
s em< Ce l a
ag
D) Yb < Pm < La
E) La la > Ce
>gPm > Yb
a

139. The IUPAC name of [Fe(CO) ] is
A) Pentacarbonylferrate(0)
B) Pentacarbonylferrate(III)
Pentacarbonyliron(0)
C)
m
D) Pentacarbonyl iron(II)
Pentacarbonylferrate(II) m .co
E)
s e
Correct Answer : Option C g la
a
140. The isomerism exhibited by the octahedral complex [Co(NH ) Br ]Cl is
A) Geometrical
B) Optical
C) Linkage
D) Coordination
E) Ionisation
m
m Correct Answer:-Question Cancelled
.co
.coWhich of the following is not a electron withdrawing group?
141.
s e m
s emA ) -CN g l a
g la B ) -NO a
a C) -COOH
D) -COOR
E) -OCH

Correct Answer : Option E

142. Which of the following statement is INCORRECT with Kolbe’s electrolytic process?
m .
A)
.co
Ethane can be prepared by this method.
s e m
B)
s em
Presence of alkyl groups in α -position decrease the yield of alkanes.
l a
g la ag
a For more Question Papers, Sample Papers, Notes & Syllabus visit Page 33 of 36

C) The reaction proceeds via methyl free radical.
D) At anode alkane and CO gas is formed.
E) An alkane obtained at anode contains odd number of carbon atoms.

Correct Answer : Option E

Which of the following hydrocarbon pair have the highest boiling point and highest
143. melting point respectively?
A) Eicosane and Methane
B) Eicosane and Decane
C) Eicosane and 2,2-Dimethylpropane
D) Eicosane and 2-Methylbutane
E) 2,2-Dimethylpropane and Eicosane

Correct Answer : Option C

The order of reactivity towards S 2 reaction among the following is
144. (a)CH Cl (b)CH CH(Cl)CH (c) (CH ) CCl (d) CH CH Cl
A) a>d>b>c
B) a>b>c>d
C) a>c>d>b
D) b>a>c>d
E) c>b>d>a

Correct Answer : Option A

145. The correct decreasing order of acidic strength is
C H OH >p-CH -C H OH>m-CH -C H OH > C H OH
A)

B) C H OH >m-CH -C H OH >p-CH -C H OH>C H OH
C) m-CH -C H OH >C H OH >p-CH -C H OH> C H OH
D) C H OH >m-CH -C H OH>p-CH -C H OH > C H OH
E) C H OH >m-CH -C H OH >C H OH >p-CH -C H OH

The products P , P , P and P of the following reactions are

146.

A) P = Phenol, P = Salicylaldehyde, P = Cyclohexanol, P = Phenyl acetate,

For more Question Papers, Sample Papers, Notes & Syllabus visit Page 34 of 36

m
m .co

c. o B ) P = Benzene, P = Salicylic acid, P = Cyclohexanol, P =sPhenyl
e m acetate,
m C ) P = Phenol, P = Salicylic acid, P = Anisole, P = Aspirin,
la
se a g
D) P = Phenol, P = Salicylic acid, P = Anisole, P = Phenyl acetate,
E) P = Cyclohexanol, P = Salicylic acid, P = Phenol, P = Aspirin,

Correct Answer : Option C

147. Which one of the following compounds undergoes HVZ reaction?
C H COOH m
.co
A)
m
.co
CH CH COOH
B)
e m
C) Cl C-COOH
e m l as
D) a
CH CH CHO
l s ag
E) ag
HCOOH

Correct Answer : Option B

148. Which of the following does not undergo Cannizarro reaction?
A) (CH ) CCHO
B) C H CHO
m
C) C H COC H
m .co
D) CH CHO
s e
E) HCHO
g la
a

In the following reaction, the final product B is
149.

m
m .co
m .co
A)
s e m
s e g l a
g la a
a
B)

C)

m .
.co s e m
s em l a
g la ag
a For more Question Papers, Sample Papers, Notes & Syllabus visit Page 35 of 36

D)

E)

Correct Answer : Option E

Match Column I with column II.

150.

A) (a)-(iii), (b)-(i), (c)-(ii), (d)-(iv)
B) (a)-(iii), (b)-(ii), (c)-(i), (d)-(iv)
C) (a)-(iii), (b)-(ii), (c)-(iv), (d)-(i)
D) (a)-(iii), (b)-(iv), (c)-(i), (d)-(ii)
E) (a)-(iii), (b)-(iv), (c)-(ii), (d)-(i)

Correct Answer : Option E

For more Question Papers, Sample Papers, Notes & Syllabus visit Page 36 of 36