Question Bank
AP EAMCET (Engineering) Exam - English
Duration: 180 ยท Questions: 160 ยท Max Marks: 160 ยท Language: 3
Physics
1
In ruby laser, the stimulated emission is due to transition from
2
A direct current I flows along the length of an infinitely long straight thin walled pipe, then the magnetic field is
3
convex lens made of glass has focal length 0.15m in air. If the refractive index of glass is 3/2, and that of water is 4/3 the focal length of lens when immersed in water is
4
Two sources are said to be coherent if they produce waves
5
Three resistors 1 รขโยฆ, 2 รขโยฆ, 3รขโยฆ resistor a 3 V battery is connected. The current through 3 รขโยฆ resistor is -
6
In a common emitter amplifier the input signal is applied across
7
Adding detergents to water helps in removing dirty greasy stains. This is because
1. It increases greasy stains. This is because
2. It decreases the oil-water surface tension
3. It increases the viscosity of the solution
4. Dirt is held suspended surrounded by detergent molecules
1. It increases greasy stains. This is because
2. It decreases the oil-water surface tension
3. It increases the viscosity of the solution
4. Dirt is held suspended surrounded by detergent molecules
8
Choose the correct statement (a) for a cricket ball that is spinning clockwise through air
S1 : Statemlines of air are symmetric around the ball.
S2 : The velocity of air above the ball relative to it is larger than that below the ball.
S3 : The velocity of air above the ball relative to it is smaller than that below the ball.
S4 : There is a net upward force on the ball.
S1 : Statemlines of air are symmetric around the ball.
S2 : The velocity of air above the ball relative to it is larger than that below the ball.
S3 : The velocity of air above the ball relative to it is smaller than that below the ball.
S4 : There is a net upward force on the ball.
9
Ferromagnetic materials used in a transformer must have
10
According to Newton’s corpuscular theory, the speed of light is
11
For the constructive interference the path difference between the two interfering waves must be equal to
12
The accurate measurement of emf can be obtained using
13
A person, with outstretched arms, is spinning on a rotating stool. He suddenly brings his arms down to his sides. Which the following is true about his kinetic energy K and angular momentum L?
14
Which of the following is not a thermodynamic coordinate?
15
An antenna uses electromagnetic waves of frequency 5 MHz . For proper working, the size of the antenna should be
16
The amount of energy released when one microgram of matter is annihilated is
17
The number of significant figures in the numbers 4.8000 x 104 48000.50 are respectively
18
β-decay means emission of electron from
19
An electric heater rated 220 V and 550 W is connected to AC mains. The current drawn by it is
20
A string is wound round the rim of a mounted flywheel of mass 20 kg and radius 20 cm. A steady pull of 25 N is applied on the cord. Neglecting friction and mass of the string, the angular acceleration of the wheel is
21
Temperature can be expressed as derived quantity in terms of
22
Electron volt is a unit of
23
Dimensions of impulse are
24
Potential is measured in
25
One Nanometer is equal to
26
Maxwell is the unit of
27
Which of the following is derived physical quantity ?
28
What are the units of magnetic permeability ?
29
The dimensions of pressure gradient are
30
The dimensions of Rydberg's constant are
31
'Farad' is the unit of
32
S.I. unit of surface tension is
33
Which one of the following pairs does not have the same dimension ?
34
Which one of the following physical quantity has the same unit as that of pressure ?
35
The symbol of SI unit of inductance is H. It stands for
36
Light year is a measure of
37
Which one of the following is not a dimension less quantity ?
38
The dimensions of universal gas constant are
39
The dimensions of magnetic moment are
40
The dimensions of Wien's constant are
Chemistry
1
10-6 M NaOH is diluted 100 times. The pH of the diluted base is
2
In the electrolysis of acidulated water, it is desired to obtain 1.12 cc of hydrogen per second under STP condition. The current to be passed is
3
The one which decreases with dilution is
4
Vapour pressure of pure ‘A’ is 70 mm of Hg at 25oC. It forms an ideal solution with ‘B’ in which mole fraction of A is 0.8. if the vapour pressure of the solution is 84 mm of Hg at 25oC, the vapour pressure of pure ‘B’ at 25oC is
5
A 6% solution of urea is isotonic with
6
In countries nearer to polar region, the roads are sprinkled with CaCl2. This is
7
A compound of ‘A’ and ‘B’ crystallises in a cubic lattice in which ‘A’ atoms occupy the lattice points at the corners of the cube. The ‘B’ atoms occupy the centre of each face of the cube. The probable empirical formula of the compound is
8
In electrophilic aromatic substitution reaction, the nitro group is meta directing because it
9
The best method for the conversion of an alcohol into an alkyl chloride is by treating the alcohol with
10
The carbon bond length in benzene is
11
The compound which is not formed during the dry distillation of a mixture of calcium formate and calcium acetate is
12
An organic compound x is oxidised by using acidified K2Cr2O7. The product obtained reacts with phenyl hydrazine but does not answer silver mirror test. The possible structured of X is
13
Arrange the following in the increasing of their. Basic strengths CH3NH2, (CH3)2NH, (CH3)2N, NH3
14
The one which has least iodine value is
15
A diabetic person carries a packet of glucose with him always, because
16
There are 20 naturally occurring among acids. The maximum number of tripeptides than can be obtained is
17
At what temperature ill the RMS velocity of SO2 be the same as that of O2 at 303 K ?
18
Phenol is treated with bromine water and shaken well. The white precipitate formed during the process is
19
In thermite process the metal used as reducing agent is:
20
Which of the following compounds on boiling with alkaline KMnO4 and subsequent acidification will not give benzoic acid?
21
Which of the following is not a synthetic fibre:
22
Which one of the following is not contained in Portland cement ?
23
What is the reson for white cement to be white ?
24
Which fertilizer is assimilated directly by the plant ?
25
Which of the following chemicals is used in foam fire extinguishers ?
26
What is a mixture of potassium nitrate, powdered charcoal and sulphur called ?
27
Which one of the following chemicals is used in beauty parlours for hair – setting ?
28
Which one of the following is used as a mordant in dyeing and tanning industry ?
29
Which one of the following substances is used in the manufacture of safety matches ?
30
Which one of the following polymeric materials is used for making bullet proof jacket ?
31
Which one of the following is another name of RDX
32
Which one of the following is used as an explosive ?
33
Flint glass is obtained from which of the following ?
34
Which one of the following correctly defines the state of glass ?
35
Which one of the following is not used as fertilizer ?
36
Which one of the following elements is needed in the human body to transfer electrical signals by nerve cells ?
37
Which one of the following is NOT true for bleaching powder ?
38
Hard glass having the same ingredientsas soft glass excepts.
39
A complete fertilizer provides
40
Antacids are commonly used to get rid of acidity in the Stomach. A commonly used antacid is.
Mathematics
1
The elements of the set {x : x is an integer, x2 : 4} can be represent as .....Z..... . Here, Z refers to
2
3
If Y = {x : x is a positive factor of the number 2p – 1(2p – 1), where 2p – 1 is a prime number}, then Y can be represent in roster form as
4
The set {x : x is a positive integer less than 6 and 3x – 1 is an even number} in roster form is
5
If A 
B and A
B, then
B and A B, then6
The number of non-empty subsets of the set{1, 2, 3, 4} is
7
The number of elements of the power set of a set containing m elements is
8
If A = {x : x = n2, n = 1, 2, 3}, then number of proper subsets is
9
If A = {x : x = 4n + 1, 2 £ n £ 5},then number of subsets of A is
10
Let A and B be two non-empty subsets of a set X such that A is not a subset of B, then
11
Which of the following is/are empty set?
A = {x : x2 + x + 1 = 0 and x Î Z} B = {x : x is a prime number and 19 < x < 23}
A = {x : x2 + x + 1 = 0 and x Î Z} B = {x : x is a prime number and 19 < x < 23}
12
The set {x : x4 = 1 and x 
R} is .....X.... set. Here, X refers to
R} is .....X.... set. Here, X refers to13
The universal set for the sets
A = {x : x2 – 5x + 6 = 0} and
B = {x : x2 – 3x + 2 = 0} having least number of elements is
A = {x : x2 – 5x + 6 = 0} and
B = {x : x2 – 3x + 2 = 0} having least number of elements is
14
If A = {1, 2, 3}, B = {x € R : x2 – 2x + 1 = 0},
C = {1, 2, 2, 3} and
D = {x € R : x3 – 6x2 + 11x – 6 = 0}, then the equal sets are
15
If A = (–3, 5) and B = [–7, 9], then
- A.A = B
- B.A
B - C.B
A - D.None of these
16
Two finite sets have m and n elements, respectively. The total number of subsets of first set is 56 more than the total number of subsets of the second set. The value of m and n respectively are
17
Combine terms: 12a + 26b - 4b – 16a .
18
The average of first 50 natural numbers is ………… .
19
60 Times of 8 Equals to
20
Consider the sets
A = {x : x is a real number and x2 + 1 = 0}
B = {x : x is a real number and x2 – 16 = 0}
C = {x : x is a real number and x2 = x + 2}
Which of the following is are null set ?
21
If X = {4n – 3n – 1: n Î N} and Y = {9(n – 1): n Î N}; where N is the set of natural numbers, then X È Y is equal to
22
Which of the following is / are correct?
I. {2, 3, 4} {1, 2, 3, 4, 5}
II. {a, b, c} {b, c, d}
III. {x : x is an equilateral triangle in a plane} Ì {x : x is a triangle in the same plane}
IV. {x : x is an even natural number} {x : x is an integer}
23
24
Consider the following statements :
1. The set of all irrational numbers between √2 and √5 is an infinite set .
2. The set of all odd integers less than 100 is a finite set .
Which of the statements given above is/are correct ?
1. The set of all irrational numbers between √2 and √5 is an infinite set .
2. The set of all odd integers less than 100 is a finite set .
Which of the statements given above is/are correct ?
25
What is the Next Prime Number after 7 ?
26
If A and B are two given sets, then A 
(A B)C is equal to
(A B)C is equal to27
121 Divided by 11 is
28
Let X be the universal set for sets A and B, if n(A) = 200, n(B) = 300 and n
= 100, then n
is equal to 300 provided n(X) is equal to
= 100, then n is equal to 300 provided n(X) is equal to29
30
Let A = {x : x is a prime factor of 240} B = {x : x is the sum of any two prime factors of 240}, then
31
If A = {x : x is a multiple of 4 and x 
N} and B = {x : x is a multiple of 6 and x 
N}, then A 
B consists of all multiples of
N} and B = {x : x is a multiple of 6 and x N}, then A B consists of all multiples of32
33
34
35
If A = {x : f(x)= 0} and
B = {x : g(x) = 0}, then A
B will be
B = {x : g(x) = 0}, then A
B will be36
In a group of 400 people, 250 can speak Hindi and 200 can speak English. Then, people who can speak both Hindi and English are
37
20 teachers of a school either teach Mathematics or Physics. 12 of them teach Mathematics while 4 teach both the subjects. The number of teacher teaching Physics only, is
38
In a class of 100 students, 70 have taken Science, 60 have taken Mathematics, 40 have taken both Science and Mathematics. The number of students who have not taken Science or Mathematics or both Science and Mathematics, is equal to
39
A market research group conducted a survey of 1000 consumers and reported that 720 consumers like product A and 450 consumers like the product B, then least number that must have like both products, is
40
If there are three athletic teams in a school, 21 are in the basketball team, 26 in hockey team and 29 in the football team. 14 play hockey and basketball, 15 play hockey and football, 12 play football and basketball and 8 play all the games. The total number of members is
41
A college awarded 38 medals in football, 15 in basketball and 20 in cricket. If these medals went to a total of 58 men and only three men got medals in all the three sports, then number of men who received meal in exactly two of the three sports is
42
In the class of 175 students, the following data shows the number of students opting one or more subjects. Mathematics 100; Physics 70; Chemistry 40; Mathematics and Physics 30; Mathematics and Chemistry 28; Physics and Chemistry 23; Mathematics, Physics and Chemistry 18. Then, number of students opted Mathematics alone is
43
In a town of 10000 families it was found that 40% family buy newspaper A, 20% family buy newspaper B and 10% family buy newspaper C, 5% families buy and B, 3% families buy B and C and 4% families buy A and C. If 2% families buy all the three newspapers. Then, number of families which by A only is
44
In a city, 20% of the population travles by car, 50% travles by bus and 10% travles by both car and bus. Then, person travelling by car or bus, is
45
Universal set,
U = {x | x5 – 6x4 + 11x3 – 6 x 2 = 0}
A = {x | x2 – 5x + 6 = 0}
B = {x | x2 – 3x + 2 = 0}
What is the value of (A
B)?
U = {x | x5 – 6x4 + 11x3 – 6 x 2 = 0}
A = {x | x2 – 5x + 6 = 0}
B = {x | x2 – 3x + 2 = 0}
What is the value of (A
B)?46
47
If P(A) denotes the power set of A and A is the void set, then what is the number of elements in P{P{P{P(A)}}}?
48
If A = {1, 2, 3, 4, 5}, b = {x : x2 – 5x + 6 = 0} and C = {x : x2 = 4 or x = 1}, then
49
In a group of 50 people, 35 speak Hindi, 25 speak both English and Hindi and all the people speak atleast one of two languages. The number of people who speak 'English', 'English but not Hindi' are respectively
50
If P = {1, 2}, then P × P × P = {(1, 1, 1), (1, 1, 2), (1, 2, 1), (2, 1, 2), (2, 2, 1), (2, 2, 2)}. The ordered triplet missing in P × P × P are
51
If A = {1, 2, 3, 4} and B = {5, 7, 9} then
52
Let A and B are two sets having 3 elements in common. If n(A) = 5 and n(B) = 4, then n[(A × B) 
รขโฌโน (B × A)] is equal to
รขโฌโน (B × A)] is equal to53
If n(A) = 3, n(B) = 4 then, n(A × A × B) is equal to
54
If A = {1, 2, 3}, B = {3, 8}, then (A
B) × (A 
B) is equal to
B) × (A B) is equal to55
The Cartesian product A × A has 9 elements among which are found (–1, 0) and (0, 1). Then, the remaining elements of A × A are
56
Let A = {1, 2, 3}. The total number of distinct relations that can be defined over A, is
57
Let A = {x, y, z} and B = {1, 2}. Then, the number of relations from A to B is
58
Let A = {x, y, z} and B = {a, b, c, d}. Then, which one of the following is not a relation from A to B?
59
The relation R defined on the set of natural numbers as {(a, b): a differs from b by 3} is given by
60
If R is a relation on a finite set A having (n – 1) elements, then the number of relations on A is
61
62
Let R = {(3, 3), (6, 6), (9, 9), (12, 12), (6, 12), (3, 9),
(3, 12), (3, 6)} be a relation on the set A ={3, 6, 9, 12}
The relation is
(3, 12), (3, 6)} be a relation on the set A ={3, 6, 9, 12}
The relation is
63
64
65
The relation ' has the same father as ' over the set of children is
66
If N be the set of natural numbers and define the relation R on N by R = {(1, 2)(2, 5), (3, 10)(4, 17)(5, 26)}. Then, the set builder form of R is
- A.{(x, x2 + 1) |
รขโฌโน N and x < 6} - B.{(x, x2 – 1) |
รขโฌโน N and x < 6} - C.{(x, 2x + 1) |
รขโฌโน N and x < 6} - D.None of the above
67
Let R be a relation in the set {1, 2, 3, 4} given by
R = {(1, 1), (1, 2), (2, 2), (4, 4), (1, 3), (3, 3), (3, 2)}.
Choose the correct option
68
Which of the following functions is inverse of itself?
69
If f(x) = ex and g(x) = logex, then which of the following is true?
- A.f{g(x)}
รขโฌโน g{f(x)} - B.f{g(x)} = g{f(x)}
- C.f{g(x)} + g{f(x)} = 0
- D.f{g(x)} – g{f(x)} = 1
70
The value of parameter a, for which the function f : R → R given by f(x) = 1 + ax, a 
0 is the inverse of itself, is
0 is the inverse of itself, is71
Let f: (2, 3) → (0, 1) be defined by f(x) = x – [x]. Then, f–1(x) equals to
72
The greatest integer function f: R → R, given by f(x) = [x] is
73
The number of all one-one functions from set
A = {1, 2, 3} to itself is
74
75
76
The number of 3-digit numbers divisible by 6, is ………….. .
77
78
Let N be the set of natural numbers and the relation R be defined such that R = {(x, y): y = 2x, x,
y 
N}. Then,
N}. Then,79
If G represents the name of the function in below graph, then G is a/an
80
Let X = {–1, 0, 1}, Y = {0, 2} and a function f: X → Y defined by y = 2x4, is