AP DEECET 2019 Question Paper Mathematics (English)

DEECET-2019
MATHS – EM

1. Which of these is NOT a fundamental element of teaching?
1. Student
2. Teacher
3. Subject
4. Discipline

2. Which type of teaching is carried out within the family or in
community during initial years of life?
1. Formal
2. Informal
3. Non- formal
4. Online

3. What was learnt in the class can be applied to daily life is called
1. Application
2. Knowledge
3. Intelligence
4. Originality

4. _______ student / students is/are unique
1. All
2. One
3. Every
4. None

5. Identify the odd one
1. Black-board
2. Chalk piece
3. Pencil
4. Pen

6. This is not included in the Adisankaracharya Mutt
1. Puri
2. Shringeri
3. Varanasi
4. Dwaraka

7. KUSUM (Kisan Urja Suraksha Evam Utthaan Mahabhiyan Scheme)
as approved by the Union Cabinet in February 2019 is meant for the
provision of this safety to the farmers
1. Economic and Water
2. Political and Social
3. Religious and Political
4. Educational and Spiritual

8. Recently South Africa unveiled this telescope for providing
information on the Milky Way and other galaxies.
1. Meerut
2. Meerkat
3. Meerbhum
4. Habul

9. Select the correct answer with reference to the Parties founded by
Dr. B.R. Ambedkar
A) All India Scheduled Caste Federation
B) Independent Labour Party
C) Peasants and Workers Party of India

1. Both A and B
2. C only
3. Both A and C
4. A only

10. A prominent musical tradition of the community in North West India
1. Panchayatan
2. Kalaripattu
3. Manganiyars
4. Mohiniyattam

11. P.V. Sindhu is a great woman in the athletic arena of Asia.
The word ‘arena’ in the above sentence indicates.
1. the outdoor
2. the indoor
3. the core
4. the world

12. We dined yesterday at ________ Maurya Hotel.
Choose the correct article that fits the blank.
1. a
2. an
3. the
4. No article is needed.

13. Choose the coordinating conjunction from the following.
1. whether
2. when
3. yet
4. as long as

14. I closed the door. Somebody knocked again.
Choose the expression or conjunction that can be used to combine
the two sentences above.
1. If ..... not
2. No sooner ….. than
3. so ….. that
4. and ….. therefore

15. The following is the characteristic of a one act play.
1. twist ending
2. focus on many incidents
3. more number of characters
4. many settings many locations

21. The peacocks were very proud of their dances, but they admired the
melodious songs of cuckoos.
Choose the correct statement from the following basing on the above
sentence.

1. This sentence has two dependent clauses.
2. This sentence is a simple sentence.
3. This sentence is an example of a relative clause.
4. This sentence has two independent clauses.

22. Choose the word that can be used as a noun and a verb.

1. savage
2. scold
3. scrappy
4. broken

23. He was acting in a very _________ way.
Choose the word that fits the blank.

1. child
2. children
3. childish
4. childhood

24. Mounika solves her problems while they were in developing stage
and saves his time and work.
The meaning of this sentence can be conveyed through the following
proverb.

1. Failures are the stepping stones to success.
2. A stitch in time saves nine.
3. A friend in need is a friend indeed.
4. Honesty is the best policy.

25. A wonderful old Italian clock.
In the above expression the order of adjectives is :

1. opinion – number – origin – quality
2. origin – opinion – age – purpose
3. quantity – opinion – age – origin
4. opinion – age – origin – quantity

26. Choose the list of words which gives the similar meaning to ‘break’.

1. split, breath, bowl, bow
2. cut, burst, crack, split
3. thick, wick, brick, mist
4. canal, cancel, candour, cane

27. My father made an earth-shaking decision over his expenditure on
clothes.
The word ‘earth-shaking’ in the above sentence means.

1. tricky
2. dangerous
3. important
4. independent

28. Choose the word that cannot be collocated with the word ‘heart-felt’.

1. sympathy
2. thanks
3. apology
4. exchange

29. Choose the linker that cannot be used to introduce a ‘result’.

1. thus
2. hence
3. therefore
4. similarly

30. It’s time she _______ her father.
Choose the correct form of verb that fits the blank.

1. meets
2. meet
3. met
4. has met

31. At what rate per annum will the principle becomes four times in
15 years
1. 25%
2. 20%
3. 15%
4. 12.5%

3
32. The difference of 1 and its reciprocal is equal to _________
16
304
1.
105
152
2.
105
135
3.
304
105
4.
304

33. A verandah 2mt wide is constructed all around a room of dimensions
10 mt × 6 mt. Find the area of the verandah.
1. 80 sq mt
2. 60 sq mt
3. 140 sq mt
4. 36 sq mt

34. In a class of 80 pupils the number of girls is three fifths of the
number of boys. Find the number of boys in the class _______
1. 30
2. 40
3. 50
4. 60

2
35. 8 pumps are required to fill a tank in 1 hours. How many pumps
3
of the same type are used to fill the tank in 20 min.
1. 16
2. 40
3. 32
4. 44

36. If a + b + c = 9 and ab + bc + ca = 26 then a2 + b2 + c2 = _______
1. 28
2. 39
3. 29
4. 48

37. If sec + tan = p then what is the value of sec – tan = ______
1
1.
p

2
2.
p

3. p

p2 1
4.
p2 1

38. The area of the quadrilateral formed by the points (1, 2), (2, 3),
( 2, 4), (0, 5) is ___________
1. 10 sq. units
2. 15 sq. units
3. 18 sq. units
4. 20 sq. units

39. A box contains 5 red marbles, 8 white marbles and 4 green marbles.
One marble is taken out of the box at random. What is the
probability that the marble taken out will be not be green
4
1.
17
13
2.
17
13
3.
15
3
4.
16

40. Find the length of the rectangle whose perimeter is 40 meters whose
area 96 sq. meters (in meters)
1. 12
2. 10
3. 16
4. 18

41. Which of the following is the most active metal
1. Lithium
2. Sodium
3. Potassium
4. Rubidium

42. The temperature of a body is 370 C. Its temperature in Kelvin Scale
is
1. 310 K
2. -236 K
3. 300 K
4. 273 K

43. Which of the following is the correct electronic configuration of
sodium
1. 2, 8
2. 8, 2, 1
3. 2, 1, 8
4. 2, 8, 1

44. Rayon is made up of
1. Coal
2. Oxygen
3. Wool
4. Cellulose

45. Any substance that turns directly into gaseous form from solid form
or from solid form to gaseous form is termed
1. melting
2. sublimation
3. evaporation
4. chromatography

46. The joints between the skull bones are
1. Hinge joints
2. Pivotal joints
3. Fixed joints
4. Ball and socket joints

47. The plants that need long night for flowering are
1. Maize and Cotton
2. Jowar and Soya
3. Soya and Hibiscus
4. Hibiscus and Wheat

48. Number of parts that the Stamen and the Pistil in Datura flower has
1. Stamen - 3, Pistil - 4
2. Stamen - 4, Pistil - 2
3. Stamen - 2, Pistil - 3
4. Stamen - 5, Pistil - 1

49. ART centers are established
1. to treat renal failure patients
2. to provide medical facilities for HIV patients
3. to treat Rabies patients
4. to provide medical facilities for arteries failure patients

50. One of the following is not the sites of taste sensation
1. Fungiform papillae
2. Circumvallate papillae
3. Foliate papillae
4. Filiform papillae

51. Podu cultivation is widely adopted in the following states of India
1. Arunachal Pradesh and Chattisgarh
2. Bihar and Madhya Pradesh
3. Kerala and Odisha
4. Haryana and Punjab

52. In Andhra Pradesh, pictures drawn by early men relating to human
forms and ox were found in this village
1. Chinthalapudi (West Godavari District)
2. Chillakallu (Krishna District)
3. Chintakunta (YSR Kadapa District)
4. Cheepurupalli (Vizianagaram District)

53. The Southwest monsoons at first enter into these districts in
Andhra Pradesh
1. Nellore and Prakasam
2. Chittoor and Kurnool
3. Ananthapuram and Prakasam
4. Srikakulam and Vizianagaram

54. The scholar who helped Akbar in the formulation of the idea of
Sulh-i-Kul or universal peace
1. Abul Fazl
2. Todarmul
3. Bairam Khan
4. Amir Khusroe

55. Indian National Congress declared ‘Purna Swaraj’ as its goal in the
Lahore Session in 1929 under the Presidentship of
1. Mahatma Gandhi
2. Jawaharlal Nehru
3. Motilal Nehru
4. Chittranjan Das

56. In 1919 Gandhiji gave a call for Satyagraha against
1. Minto Act
2. Morley Act
3. Rowlett Act
4. Victoria Act

57. An important event relating to the Jute industry in India in 1859
1. First Jute mill was set up at Rishra near Kolkata
2. First Jute mill was set up at Srirangam near Trichy
3. First Jute mill was set up at Mumbai in Maharashtra
4. First Jute mill was set up at Triplicane near Chennai

58. The following new political ideas were propagated during French
Revolution
1. Women Empowerment and Separation of Powers
2. Independence, Sovereignty and Secular
3. Democracy, Decentralization and Dignity
4. Liberty, Equality and Fraternity

59. The three states which were not invited to participate in the
Versailles peace conference
1. Italy, Japan and France
2. Austria, Germany and Turkey
3. Britain, Soviet Union and America
4. Japan, Indonesia and Italy

60. Fazl Ali, K.M. Panikkar and Hridayanath Kunzru were the members
of the
1. States Reconstitution Commission
2. States Reorientation Commission
3. States Reorganization Commission
4. States Reconstruction Commission

61. Domain of f x x x

1. R
2. Z
3. N
4. R–Z

62. If f = {(1, 2), (2, –3), (3, –1)} then f

1. 1, 2

2. 1, 2 , 2, 3 , 3, 1

3. 1, 2 , 2, 3 , 3, 1

4. 1, 2 , 2, 3 , 3, 1

i 0
63. If A = then A2 =
0 i

1 0
1.
0 1

1 0
2.
0 1

1 0
3.
0 1

1 0
4.
0 1

cos sin
64. Inverse matrix of
sin cos

cos sin
1.
sin cos

cos sin
2.
sin cos

cos sin
3.
sin cos

cos sin
4.
sin cos

65. If the vectors 3 i + 4 j + k , µ i + 8 j + 6 k are collinear vectors
then + µ = _______
1. –6
2. 3
3. –3
4. 9

2 2 2
66. For any vector a , the value of a i a j a k

2
1. 4a

2
2. 2a

2
3. a

2
4. 3a

cos9o sin 9o
67. _______
cos 9o sin 9o
1. cot 36o
2. cot 54o
3. cot 18o
4. cot 72o

68. Period of Tan (x + 4x + 9x + ….. + n2x)

1.
n n 1 2n 1

2
2.
n n 1 2n 1

6
3.
n n 1 2n 1

3
4.
n n 1 2n 1

1 1
69. The value of sin 1 cos 1
2 2

1.

2.
2

3.
3

4.
4

70. The equation of locus of a point which is equidistant from the
coordinate axes ____
1. x2 – y2 = 0
2. x+y=0
3. x–y=0
4. x2 + y2 = 0

71. The point to which the origin is to be shifted so as to remove the first
degree terms from the equation 4x2 + 9y2 – 8x + 36y + 4 = 0
1. (–1, 2)
2. (–1, –2)
3. (1, –2)
4. (1, 2)

72. Normal form of a line x + y + 2 = 0 is _______

5 5
1. x cos y sin 2
4 4

3 3
2. x cos y sin 2
4 4

3. x cos y sin 2
4 4
7 7
4. x cos y sin 2
4 4

73. The angle between the lines 2x + y + 4 = 0, y – 3x = 7 is _______

1.
2

2.
4

3.
3

4.
6

1 1 1
74. _______
r1 r2 r3

1
1.
R
1
2.
s
1
3.
r

1
4.

75. The acute angle between the pair of lines represented by
x2 + 2xy cot – y2 = 0 is ______

1.
2

2.
4

3.
3

4.
6

76. The direction cosines of the line joining the points (–4, 1, 7) and
(+2, –3, 2) is _________

6 4 5
1. , ,
77 77 77

6 4 5
2. , ,
77 77 77

6 4 5
3. , ,
77 77 77

6 4 5
4. , ,
77 77 77

Lt ax 1
77. = _________
x o bx 1

log e a
1.
log e b

log e b
2.
log e a

3. log e a log e b

4. log e a log e b

Lt x2 5x 2
78.
x 2x2 5x 1

1. 0
2. 2

1
3.
2
4.

79. If f x sin log x , (x > o), then f 1 x _________

1
1. cos log x
x
1
2. cos log x
x
1
3. sin log x
x

1
4. sin log x
x

80. The slope of the tangent of the curve y = 5x2 at (–1, 5) is
1. –5
2. 5
3. 10
4. –10

Z1
81. If Z1 = –1, Z2 = i then Arg = ________
Z2

1.
3

2.
2

3.
4

4.
6

82. If , are the roots of x2 + x + 1 = 0 then 4
+ 4
+ –1 –1
= ____
1. 0

2.

3. –
2
4.

1 1
83. If , are the roots of ax2 + bx + c = 0 then = ______

c
1.
b
b
2.
c
c
3.
a

b
4.
a

84. If the product of the roots of 4x3 + 16x2 – 9x – a = 0 is ‘9’ then
‘a’ = _________
1. 36
2. –36
3. 9
4. –9

85. If n 1 P : nP6 2 : 7 then n = ________
5

1. –9
2. 9
3. –11
4. 11

86. If 17 C2 t 1 17 C3t-5 then t = ______

1. 6
2. 2
3. 4
4. 3

7
87. The number of terms in the expansion of 2a 3b c

1. 28
2. 14
3. 7
4. 21

x2 2x 6
88. Resolve 3
in to partial fractions ________
x 2

1 2 6
1. 2 3
x 2 x 2 x 2

1 2 6
2. 3 3
x 2 x 2 x 2

1 2 6
3. 2 3
x 2 x 2 x 2

1 2 6
4. 3 2
x 2 x 2 x 2

89. Median of the data 4, 6, 9, 3, 10, 13, 2
1. 2
2. 4
3. 13
4. 6

90. If A, B are independent events with P(A) = 0.2, P(B) = 0.5 then
P(A B) = ________
1. 0.2
2. 0.5
3. 0.1
4. 1

91. Equation of the circle whose ends of the diameter are (1, 2), (4, 6)
is __________
1. x2 + y2 – 5x – 8y + 16 = 0
2. x2 + y2 – 5x + 8y + 16 = 0
3. x2 + y2 + 5x – 8y + 16 = 0
4. x2 + y2 + 5x + 8y + 16 = 0

92. Equation of the common chord of the circles x2+y2–4x–4y+3 = 0,
x2 + y2 – 5x – 6y + 4 = 0 is _________
1. x + 2y – 1 = 0
2. x – 2y – 1 = 0
3. x – 2y + 1 = 0
4. x + 2y + 1 = 0

93. Vertex of the parabola 4y2 + 12x – 20y + 67 = 0

7 5
1. ,
2 2

7 5
2. ,
2 2

7 5
3. ,
2 2

7 5
4. ,
2 2

94. If 4x + y + k = 0 is a tangent to the ellipse x2 + 3y2 = 3 then k = ___
1. 7
2. 8
3. 9
4. 10

95. If 3x – 4y + k = 0 is a tangent to the hyperbola x2 – 4y2 = 5 then
k = ________
1. 5
2. 7
3. 2
4. 3

log 1 tan 2 x
96. e dx

1. sec x
2. tan x
3. sec2 x
4. tan2 x

2
97. 1 x dx =
0

1. 2
2. 1
3. 4
4. 3

98. Area under the curve f x sin x in [0, 2 ]

1. 1
2. 2
3. 3
4. 4

dy
99. General solution of ex y
dx
1. ex + e–y = c
2. ex – e–y = c
3. e–x + ey = c
4. e–x – ey = c

100. Differential equation of y = A cos 3x + B sin 3x
(A, B are parameters)

d2y
1. 9y 0
dx 2

d2y
2. 9y 0
dx 2

d2y
3. 6y 0
dx 2

d2y
4. 6y 0
dx 2