AP DSC 2025 School Assistant (SA) Maths Mock Test

Maths English Medium

Methodology English

Physics EM

Biology EM

Maths English Medium

1. cos 12°+Cos 84°+Cos 132° + Cos 156° = ................

1/4

1/2

-1/2

-1/4

Question 1 of 94

Maths English Medium

2. The intersecting point of both gives of a sata is at a distance of 10 cm from Y-axis and 5 cm from x-axis then the median is ..............

12.5

7.5

Question 2 of 94

Maths English Medium

3. The maximum value of cosx+sinx is .................

√3

√2

Question 3 of 94

Maths English Medium

4. A man is known to speak the truth 3 out of 4 times. He thrown a die and reports that it is a six. The probability that it is actually a six is .............

1/4

1/5

3/8

3/4

Question 4 of 94

Maths English Medium

5. The foot of the perpendicular from the point (3, -4) on the line 3x-4y+5=0 is ...............

(46/25, 54/25)

(81/25, 92/25)

(-81/25, 92/25)

(92/25, 81/25)

Question 5 of 94

Maths English Medium

6. A hallow metal cylinder having external radius 8 cm and height 10 cm has a total surface area of 338π cm^2 then the thickness of the hollow metallic cylinder is ............

4 cm

1.5 cm

2.5 cm

3 cm

Question 6 of 94

Maths English Medium

7. Let AB be a chord of a circle x^2+y^2=r^2 subtending a right angle at the center, then the locus of the centroid of the triangle PAB as P moves on the circle is .............

An elipse

A Pair of straight line

A Parabola

A Circle

Question 7 of 94

Maths English Medium

8. Sets A and B have 3 and 6 elements each. What can be minimum number of elements in A∪B?

Question 8 of 94

Maths English Medium

9. A Cuboid metal of dimensions 44 cm * 30 cm * 15 cm was melted and east into a cylinder of height 28 cm. then the radius is ..............

14 cm

12 cm

15 cm

10 cm

Question 9 of 94

Maths English Medium

10. O is the center of two concentric circles. The sum of the radii=33 cm. AD is a chord of the bigger circle intersecting the smaller circle at B and C. If AD=32 cm and BC=10 cm then the distance of the chord AD from O is ...............

10 cm

24 cm

12 cm

15 cm

Question 10 of 94

Maths English Medium

11. if det(A) = 4 then the value of det(12A) where A is of order 2*2 is .........

576

144

Question 11 of 94

Maths English Medium

12. If n!, 3*n! and (n+1) are in G.P the n!, 5*n! and (n+1)! are in .......

A.P

H.P

G.P and H.P

G.P

Question 12 of 94

Maths English Medium

13. If A is a nonsingular square matrix such that A^2-6A+7I=0 then A^-1 is ............

(6I-A)/7

(6I+A)/7

6I-A

6I+A

Question 13 of 94

Maths English Medium

14. From three colinear points A,B,C on a level ground which are on the same side of a tower, the angles of elevation of the top of the tower are 30°, 45° and 60° respectively. If BC=60 meters, then AB in meters .........

45√3

30√3

15√3

60√3

Question 14 of 94

Maths English Medium

15. The equation x^2-3xy+λy^2+3x-5y+2=0 (where λ is a real number) represents a pair of lines if 'θ ' is the angle between them then cosec^2θ = ..................

100

Question 15 of 94

Maths English Medium

16. For every point on an isoprofit line in a feasible region, the value of objective function

Decreases

Increases

Remains the same

Does not remains the same

Question 16 of 94

Maths English Medium

17. 6 boys and 6 girls sit in a row randomly. The probability the boys and girls sit alternatively is ................

7/101

1/231

5/462

1/462

Question 17 of 94

Maths English Medium

18. If A Δ B = A ⋃ B then .......................

A Δ B = ∅

A ⋂ B = ∅

A = B

A Δ B = A - B

Question 18 of 94

Maths English Medium

19. If A= {0, 2, -5}, B= {x, y, z} and α = number of bijective functions from A to B

β = number of constant functions from A to B

The the quadratic equation whose roots are α and β is ...............

x^2-6x+9=0

x^2-9x+18=0

x^2-12x+27=0

x^2+18x-9=0

Question 19 of 94

Maths English Medium

20. Sum of the 'n' terms of the series √2+√8+√18+√32+ .................is............

n(n+1)/2

2n(n+1)

n(n+1)/√2

Question 20 of 94

Maths English Medium

21. If 1/5th x is y, 2/3rd of y is Z then the percentage of z in x is .............

14 1/7

13 1/3

26 2/3

Question 21 of 94

Maths English Medium

22. When the origin is shifted to a suitable point, the coordinate of (-2, 4) are transformed to (-6, 9). The origin was shifted to ...............

(4, 5)

(-4, -5)

(-4, 5)

(4, -5)

Question 22 of 94

Maths English Medium

23. In a circle c(0,r) AB, CD chords intersects at E. If P is the length of AE, 2P is the kength of BE and CE*DE id 128 then the length of AB is ...................

Question 23 of 94

Maths English Medium

24. If in a geometric series of positive terms the difference between the fifth and fourth terms is 576 and difference between the second and first terms is 9, then the sum of the first five terms of the series is ...........

1023

1024

1061

768

Question 24 of 94

Maths English Medium

25. If mth term of an AP. is equal to the nth term, then ............

(m-n+1)

(m-n) = 0

(m+n) = 0

(m+n-1)

Question 25 of 94

Maths English Medium

26. If in ΔABC, TanA/2 = 5/6, TanC/2= 2/5 then .................

2b=a+c

b=a+c

b=2(a+c)

b=3(a+c)

Question 26 of 94

Maths English Medium

27. A= set of zeroes of polynomial x^2-3x+K, B=set of zeroes of polynomial 2x^2-5x+2 and A∩B = {2} then the value of k is ..............

Question 27 of 94

Maths English Medium

28. Solution of equations √2x+√3y=0 and √3x - √8y=0 is ........

x=0, y=2

x=0, y=0

x=2, y=2

x=2, y=0

Question 28 of 94

Maths English Medium

29. The point which belongs to the region x-y+1<0 is .............

(0,0) <0

(-1, 1)

(1,0)

(0,1) 0<0

Question 29 of 94

Maths English Medium

30. In a Trapezium ABCD diagonals intersect at E. Then (CE)*(DE) equals to ..................

CE*CD

BE*AE

BE*BC

CE*AE

Question 30 of 94

Maths English Medium

31. Let A and B be the two events such that P(A)=0.3 and P(AUB)=0.8. If A and B are independent events then P(B) is ...........

6/7

4/7

3/7

5/7

Question 31 of 94

Maths English Medium

32. If A, B, C are three matrices and if 'A_Xx3X B_Yx5 = C_2x2'then the value of ' y Log₁₀x +3 Log₁₀z ' is ............

Question 32 of 94

Maths English Medium

33. It is found that out of 100 students, 25 can drive neither a scooter nor a car, while 15 can drive both these and 52 of them can drive a scooter. How many can drive a car?

Question 33 of 94

Maths English Medium

34. The vertices of a triangle are A(6,6), b(6,6) and c(6,0). The distance between its circumcenter and centroid is ................

√2

2√2

Question 34 of 94

Maths English Medium

35. Let

T_{r}

be the rth term of an A.P. If

T_{m} = \frac{1}{n} a n d T_{n} = \frac{1}{m}, t h e n T_{m n}

1/mn

1/m+1/n

Question 35 of 94

Maths English Medium

36. ABC is a triangle in which ∟A= 60° and ∟B = 48°. A circle intersects the sides of ▲ABC at D, E, F, G, H and K such that DE=FG=HK. If 'O' is the center of the circle then ∟BOC =

90°

135°

70°

120°

Question 36 of 94

Maths English Medium

37. A Hallow sphere of internal and external diameter 4 cm and 8 cm respectively is melted into a cone of base diameter 8 cm. Then the height of the cone is ......

6 cm

12 cm

10 cm

14 cm

Question 37 of 94

Maths English Medium

38. tan⁻¹(x) = cos⁻¹(4/5)+sin⁻¹(3/√34) then x= ..............

23/11

25/11

27/11

29/11

Question 38 of 94

Maths English Medium

39. When 4 unbiased coins are tossed the probability of getting all heads is ...............

1/8

1/16

1/4

1/2

Question 39 of 94

Maths English Medium

40. A and B are 2 sets having 3 and 4 elements respectively and having 2 elements in common. The number of relations which can be defined from A to B is ..............

2^8

2^12

2^10

2^6

Question 40 of 94

Maths English Medium

41. A wall 15.5 m long 4.5 m high and 27 cm thick is made of bricks measuring 27 cm*10 cm*10 cm then the number of bricks used is .............

8612

7645

6975

1467

Question 41 of 94

Maths English Medium

42. Point (1, 3) lies in the region represented by .............

x+2y>9

x+y>5

x+y<2

2x+y<6

Question 42 of 94

Maths English Medium

43. A Triangle has length of side as 28 cm, 21 cm and 35 cm. Then the length of the altitude drawn to the largest side of the triangle is

13.4 cm

7.2 cm

14.2 cm

16.8 cm

Question 43 of 94

Maths English Medium

44. In a 100 m race when A completes the race, B completed 81% of the race. when B completes C was 20% of the race behind. The percentage of race covered by C when A completes the race is ...............

69.6

64.8

60.5

66.2

Question 44 of 94

Maths English Medium

45. If tan(θ) = b/a, (a ≠ 0) then (acos(θ)+bsin(θ))/(acos(θ)-bsin(θ)) ..............

(a^2-b^2)/(a^2+b^2)

(a-b)/(a+b)

(a+b)/(a-b)

(a^2+b^2)/(a^2-b^2)

Question 45 of 94

Maths English Medium

46. The box in which the command if A>B can be written in a flow chart is ...............

Triangle

Rectangle

Rhombus

Ellipse

Question 46 of 94

Maths English Medium

47. In a quadrilateral ABCD, the bisector of ∟A and ∟B intersect at P, the angle at P in △APB is ............

(∟C+∟D)/2

∟C+∟D

(∟A+∟D)/2

∟A+∟D

Question 47 of 94

Maths English Medium

48. The statements that are true

(i) 1 MB = 1000 KB

(ii) Electronic circuits were used in 3rd Generation computers.

(iii) Father of computers is Charles Babbage.

(iv) The Pictorial representation describing the method of solving a problem in an algorithm.

(ii), (iii)

(i), (iv)

(ii), (iv)

(i), (ii)

Question 48 of 94

Maths English Medium

49. The mid-Points of sides of the triangle ABC are D(6,1), E(3,5) and F(-1, -2), then the vertex opposite to D is ...............

(-4, 5)

(2,5)

(10,8)

(-4, 2)

Question 49 of 94

Maths English Medium

50. In a Triangle ABC, AB and AC are m,n respectively. Then the length of the median AD when BD=AD is ..............

(m^2+n^2)/4

(m^2-n^2)/4

m+n

m*n

Question 50 of 94

Methodology English

51. Ruleg is a component of one of the following methods.

Deductive

Analysis

Inductive

Synthesis

Question 51 of 94

Methodology English

52. A Phase named Zone of Proximal development (ZPD) is a Part of the strategy of .............

Concept attainment model

Constructivism

Reciprocal teaching

Recreational method

Question 52 of 94

Methodology English

53. One of the following is NOT a component under stimulus-variation skill.

Gestures

Pleasant expressions

Refocussing

Praise words

Question 53 of 94

Methodology English

54. Father of Statistics in India is one among the following.

Aryabhatta

Ramanujan

Bhaskara

Mahalanobis

Question 54 of 94

Methodology English

55. Name of the mathematician who said 'Let no one enter my class who is important of geometry' is ..........

Pythagoras

Plato

Archimedes

Diophantus

Question 55 of 94

Methodology English

56. Corelation of the mathematical principle given below is reflected in the construction of the monument, Taj Mahal

Order, similarity and sequence

Beauty, line symmetry and congruency

Beauty, symmetry and Congruency

Beauty, Congruency and balance

Question 56 of 94

Methodology English

57. The best suitable action for a teacher to silence a disturbed class is .......

Listening

Punishing

Scolding

Pausing

Question 57 of 94

Methodology English

58. The major aspect which is de-emphasized in continuous and comprehensive evaluation (CCE) is ...............

Cosholastic domain

Content

Memorization

Quality

Question 58 of 94

Methodology English

59. The 3 aspects of Dale's cone of experience are among the following.

Inactive, Iconic and centered

Inactive, Iconic and Symbolic

Inactive, Iconic and Concrete

Inactive, Iconic and abstract

Question 59 of 94

Methodology English

60. The least valid point an essay question in a mathematic test is

content

logic

Reasoning

Spellings

Question 60 of 94

Methodology English

61. One of the following would be the best assessment technique to reduce stress

Open-book exam

Content test

Achievement test

Time-based test

Question 61 of 94

Methodology English

62. The behavioral outcome identified when the student shows the area of Polygon by shading the region will be .............

Representation and Visualization

Reasoning Proof

Problem Solving

Connection

Question 62 of 94

Methodology English

63. The learning outcome which focuses on the academic standard 'communication' among the following is ..............

Justifies adequate of the data

The Pupil makes Logical arguments

Chooses the best hypothesis

The Pupil explains mathematical ideas in words

Question 63 of 94

Methodology English

64. One of the following is the least important competency to teach Geometry.

Manipulative sense

Note making

Intuitive sense

Kinesthetic ability

Question 64 of 94

Physics EM

65. The marking scheme does not consist the following aspect

Answer for each question

Content part of the question taken

Total marks allotted for each question

Marks allotted for each item

Question 65 of 94

Physics EM

66. Weight of a person is 50 Kgs he leaps up and down in standing jump. The force excerted on the ground will be ..............

less than his weight

equal to his mass

equal to his weight

more than his weight

Question 66 of 94

Physics EM

67. Ammonia reacts with excess of chlorine to form an explosive compound 'X' the compound 'X' is .................

NH4No3

NH4Cl

NCl3

(NH4)Co3

Question 67 of 94

Physics EM

68. The direction of magnetic field due to the current carrying conductor AB shown in figure.

Straight line and clockwise

Circular and clockwise

Circular and Anti clockwise

Straight line and Anti clockwise

Question 68 of 94

Physics EM

69. Human ear can hear two sounds separately if the minimum time interval (T) between two sounds is ...............

T<1/20 sec

T<1/25 sec

T<1/30 sec

T>1/15 sec

Question 69 of 94

Physics EM

70. During refraction light follows the equation ........... ; where n1 and n2 are refractive indices of the first and second media.

n1sini=n2sinr

n1/sinr=n2*sini

n1/sin^2i=n2/sin^r

n1sinr=n2sini

Question 70 of 94

Physics EM

71. on heating the following materials maximum thermal expansion occurs in ................

CO2

Diesel

Mercury

Iron rod

Question 71 of 94

Physics EM

72. Molecular formula for sulphur is ...............

Question 72 of 94

Physics EM

73. The percentage of Oxygen consumed by the brain out of the total oxygen consumed by the body is ............

15%

20%

10%

Question 73 of 94

Physics EM

74. Example for "Heating produces change in the composition of substances"

All of these

2Mg+O2 -> 2MgO

ZnCO3->ZnO+CO2

2KNO3->2KNO2+O2

Question 74 of 94

Physics EM

75. 'The Rapid changes that took place in the usage of cell phone from its inception' is ................. type of project

Research

Visual

Proof

constructive

Question 75 of 94

Physics EM

76. The two chemical substance which are used in the experiment for law of multiple proportions.

Silver chloride and Barium sulphate

Cuprous oxide and Cupric oxide

Sodium chloride and cupric oxide

Sulphar and sodium

Question 76 of 94

Physics EM

77. The characteristic feature of a substance to become a permanent magnet is ...............

High Resistivity

High Temparature

High Conductivity

High Retentivity

Question 77 of 94

Physics EM

78. Major change observed during metaphase is ................

Formation of equatorial plate

doubling of chromosomes

Condensation of chromosomes

Appearance of cell wall

Question 78 of 94

Physics EM

79. The broad attempts in understanding the nature are called ................

Hypotheses

Inferences

Theories

Assumptions

Question 79 of 94

Physics EM

80. The Halley comet appeared in 1986 it will appear again in .............

2062

2060

2056

2042

Question 80 of 94

Physics EM

81. Carbondioxide is used in fire extinguishers because .................

Carbondioxide is lighter than any other gas

Carbondioxide is lighter than air

Carbondioxide is heavier than air

Carbondioxide is abundant in air

Question 81 of 94

Biology EM

82. The principle of natural setting is involved in the teaching method of science is .............

Project method

heuristic method

deductive method

Lecture cum demonstration method

Question 82 of 94

Biology EM

83. 'Ascaris Lumbricoides' is the scientific name of .................

Itch Mite

Roundworm

Liver Fluke

Filarial worm

Question 83 of 94

Biology EM

84. Identify the Photoautotrophic organisms

Mushrooms

Viruses

Fungi

Cyanobacteria

Question 84 of 94

Biology EM

85. One of the following technique was developed by Panchanan Maheswari

In-Vitro Fertilization

Green Revolution

Gene Therapy

Chemotherapy

Question 85 of 94

Biology EM

86. The process of entering of Pollutants in a food chain is known as .............

Bioaccumulation

Bio-magnification

Nutrification

Cutrophication

Question 86 of 94

Biology EM

87. Self-reporting technique used to evaluate the students own feelings interest is .............

Aptitude test

Intelligence test

Interview

Diagnostic test

Question 87 of 94

Biology EM

88. The scientific institute located at Hyderabad carry out research on the crops of tropical countries like India is .........

NIO

ICRISAT

CCMB

NIN

Question 88 of 94

Biology EM

89. The bone bends but does not break in children. This is usually called as ............

Impact fracture

Comminuted fracture

Green stick fracture

Simple fracture

Question 89 of 94

Biology EM

90. The crushed waste from sugarcrane siems is called .......

Bagasse

Kelps

All of these

Molasses

Question 90 of 94

Biology EM

91. The Scavengers of earth are ............

Fungi

All of these

Algae

Virus

Question 91 of 94

Biology EM

92. If you want to develop haploid plants through tissue culture your best choice is ..................

Ovule

germ cells

pollen grains

body cells

Question 92 of 94

Biology EM

93. A science teacher purchased some reagents and entered the particular in accession register first. After that the particulars entered into ............ register.

breakable register

nonbreakable register

permanent register

Consumable register

Question 93 of 94

Biology EM

94. The total number of peripheral nerves man is ............

31 pairs

51 pairs

12 pairs

43 pairs

Question 94 of 94

*Note: ప్రతి పరీక్షలో మీరు కొత్త ప్రశ్నలతో పరీక్షను ఎదుర్కోవలసి ఉంటుంది, కాబట్టి మాక్ టెస్ట్ -1, మాక్ టెస్ట్ -2 మరియు మొదలైనవి సృష్టించాల్సిన అవసరం లేదు, పరీక్షను పూర్తి చేసి పేజీ రిఫ్రెష్ చేయండి , ఇదే ప్రాక్టీస్ టెస్ట్ మీకు కొత్త / వేరే ప్రశ్నలతో మొదలవుతుంది.