Question Bank
WBJEE Exam - English
Duration: 120 · Questions: 155 · Max Marks: 155 · Language: 3
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) 
​ (B × A)] is equal to
​ (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) |
​ N and x < 6} - B.{(x, x2 – 1) |
​ N and x < 6} - C.{(x, 2x + 1) |
​ 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)}
​ 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
Physics
1
Temperature can be expressed as derived quantity in terms of
2
Electron volt is a unit of
3
Dimensions of impulse are
4
Potential is measured in
5
One Nanometer is equal to
6
Maxwell is the unit of
7
Which of the following is derived physical quantity ?
8
What are the units of magnetic permeability ?
9
The dimensions of pressure gradient are
10
The dimensions of Rydberg's constant are
11
'Farad' is the unit of
12
S.I. unit of surface tension is
13
Which one of the following pairs does not have the same dimension ?
14
Which one of the following physical quantity has the same unit as that of pressure ?
15
The symbol of SI unit of inductance is H. It stands for
16
Light year is a measure of
17
Which one of the following is not a dimension less quantity ?
18
The dimensions of universal gas constant are
19
The dimensions of magnetic moment are
20
The dimensions of Wien's constant are
21
The dimensional formula of wave number is
22
The dimensional of Hubble ‘s wave number is
23
The dimensions of solar constant is
24
The dimensional formula for entropy is
25
Dimension of specific heat are
26
The physical quantity which has the dimensional formula [M¹T–3] is
27
Which one of the following elements is used as a timekeeper in atomic clocks ?
28
Which one of the following is the value of one nanometer ?
29
What is the unit of pressure ?
30
The unit of pressure is
31
Which one of the following quantities doe not have unit ?
32
Dimensional formula for thermal conductivity is here K denotes the temperature:
33
Which of the following is the unit of molar gas constant ?
34
Density of liquid is 16.8 g cm–3. Its value in the International System of Units is
35
The dimensional formula of couple is
36
Subtract 0.2 J from 7.26 J and express the result with correct number of significant figures.
37
Multiply 107.88 by 0610 and express the result with correct number of significant figures.
38
When 97.52 is divided by 2.54, the correct result is
39
Which of the following is the most accurate ?
40
The area of a square is 5.29 cm². The area of 7 such square taking into account the significant figures is:
Chemistry
1
Which of the following is not a synthetic fibre:
2
Which one of the following is not contained in Portland cement ?
3
What is the reson for white cement to be white ?
4
Which fertilizer is assimilated directly by the plant ?
5
Which of the following chemicals is used in foam fire extinguishers ?
6
What is a mixture of potassium nitrate, powdered charcoal and sulphur called ?
7
Which one of the following chemicals is used in beauty parlours for hair – setting ?
8
Which one of the following is used as a mordant in dyeing and tanning industry ?
9
Which one of the following substances is used in the manufacture of safety matches ?
10
Which one of the following polymeric materials is used for making bullet proof jacket ?
11
Which one of the following is another name of RDX
12
Which one of the following is used as an explosive ?
13
Flint glass is obtained from which of the following ?
14
Which one of the following correctly defines the state of glass ?
15
Which one of the following is not used as fertilizer ?
16
Which one of the following elements is needed in the human body to transfer electrical signals by nerve cells ?
17
Which one of the following is NOT true for bleaching powder ?
18
Hard glass having the same ingredientsas soft glass excepts.
19
A complete fertilizer provides
20
Antacids are commonly used to get rid of acidity in the Stomach. A commonly used antacid is.
21
Annealing of glass is done to.
22
Petrochemicals are obtained from.
23
The use of chemicals for treatment of diseases is called as.
24
Which of the following is a hypnotic drug ?
25
Teflon is a polymer of which of the following monomers ?
26
LPG used as domestic fuel chiefly contains–
27
Glass is a.
28
Which one of the following acids is used for etching glass ?
29
What is the purpose of adding plasticizers in paint manufacturing process ?
30
Which raw material is used in the preperation of soft glass ?
31
What is the composition of nitrolim – a chemical fertilizer ?
32
the major component used in preparation of different type of glasses is.
33
Salts of which of the following elements provide colours to fireworks ?
34
Given below are two statements :
Statement I : Phenyl is used as a household germicide.
Statement II : Phenyl is phenol derivative and phenol is an effective germicide.
In the light of the above statement, choose the correct answer from the options given below:
Statement I : Phenyl is used as a household germicide.
Statement II : Phenyl is phenol derivative and phenol is an effective germicide.
In the light of the above statement, choose the correct answer from the options given below:
35
Given below are two statements :
Statement I : Coal–based thermal power stations contribute to acid–rain.
Statement II : Oxides of carbon are emitted when coal burns.
In the light of the above statement, choose the correct answer from the options given below:
Statement I : Coal–based thermal power stations contribute to acid–rain.
Statement II : Oxides of carbon are emitted when coal burns.
In the light of the above statement, choose the correct answer from the options given below:
36
Terfenadine is commonly used as a/an.
37
Which one of the following is not a tranqualizer ?
38
Barbituric acid and its derivatives are well known.
39
Which one among is not an analgesic ?
40
Various phenol derivatives, tincture of iodine (2 – 3%) I 2 in (water/alcohol) and some dyes like methylene blue are.