If 200 people like tea, 300 people like coffee and 250 people like both. Is the data correct?
1.True
2.False
In a committee, if 50 people speak French, 20 people speak Spanish, 10 people speak both the languages, then how many people speak at least one of the two languages?
1.10
2.20
3.50
4.60
In a family of 10 members, 7 of them like tea or coffee, 4 of them like tea and 5 of them like coffee. How many of them like only coffee?
1.2
2.3
3.4
4.5
In a group of students, 100 students know Hindi, 50 know English and 25 know both. Each of the student knows either Hindi or English. How many students are there in the group?
1.75
2.100
3.125
4.175
A group conducted a survey of 100 consumers and reported that 72 consumers like apples and 45 consumers like oranges, what is the least number that must have liked both products?
1.14
2.15
3.16
4.17
A scalar quantity has only magnitude and no direction.
1.True
2.False
A set can be a collection but a collection cannot be a set.
1.True
2.False
A unit vector is a vector whose magnitude is unity.
1.True
2.False
Cardinality of the set of even prime number under 10 is 4.
1.True
2.False
Cardinality of the set of lower letter english alphabets is 26.
1.True
2.False
Find the degree of the differential equation yâ€-12cosec y=0.
1.1
2.2
3.4
4.Not defined
Find the order and degree of the differential equation 7y’-3y=0.
1.Order -1, Degree-2
2.Order -2, Degree-3
3.Order -1, Degree-1
4.Order -3, Degree-2
Find the order of the differential equation y’-20y+2=0.
1.2
2.8
3.0
4.1
For two equal sets there ___________
1.Cardinality is same
2.Cardinality is different
3.May be same or different
4.None of the mentioned
How is a set denoted?
1.()
2.{}
3.[]
4.**
How many arbitrary constants will be there in the general solution of a second order differential equation?
1.3
2.4
3.2
4.1
How to define a set?
1.A collection of well-defined objects or element
2.A collection of unordered objects or element
3.Any random elements
4.A collection of special characters
How to solve for x, if |x-1| ≥ 3?
1.(-∞, -2) ∪ (4, ∞)
2.(-∞, -2] ∪ [4, ∞)
3.(0, -2] ∪ (4, 0)
4.(-∞, ∞) – {-2, 4}
How will you define a set of all real numbers?
1.{x: -1 < x < 1}
2.[x: -∞ < x < ∞]
3.{x: -∞ < x < ∞}
4.{x: -Z < x < +Z}
How will you define Union of two sets A and B?
1.{x: x € A or x € B}
2.{x: x € A or x € B (or both)}
3.{x: x € A and B}
4.{x: x € A – B}
If A is a subset of B and B is a subset of C, then cardinality of A U B U C is equal to ____________
1.Cardinality of C
2.Cardinality of B
3.Cardinality of A
4.None of the mentioned
If A is a subset of B then _______
1.The cardinality of A is greater than B
2.The cardinality of B is greater than A
3.Can’t say
4.None of the mentioned
If cardinality of (A U B) = cardinality of A+ cardinality of B. This means ____________
1.A is a subset of B
2.B is a subset of A
3.A and B are disjoint
4.None of the mentioned
If for sets A and B there exists an injective function but not bijective function from A to B then?
1.Cardinality of A is strictly greater than B
2.Cardinality of B is strictly greater than A
3.Cardinality of B is equal to A
4.None of the mentioned
If set A and B have 3 and 4 elements respectively then the number of subsets of set (A X B) is?
1.1024
2.2048
3.512
4.4096
If set A has 10 elements, set B has 20 elements, 5 elements are common to both then find the number of elements in X∪Y.
1.10
2.15
3.20
4.25
If set A X B=B X A then which of the following sets may satisfy?
1.A={1, 2, 3}, B={1, 2, 3, 4}
2.A={1, 2}, B={2, 1}
3.A={1, 2, 3}, B={2, 3, 4}
4.None of the mentioned
If there is a bijection between two sets A and B then _______
1.Cardinality of A is greater than B
2.Cardinality of B is greater than A
3.Cardinality of B is equal to A
4.None of the mentioned
In a city of 1000 population, all people read newspaper. 600 people read Hindustan Times and 700 people read Times of India. How many people read both newspaper?
1.100
2.300
3.1000
4.1300
In a city of 1000 population, all people read newspaper. 600 people read Hindustan Times and 700 people read Times of India. How many people read only Hindustan Times?
1.100
2.200
3.300
4.600
In a city of 1000 population, all people read newspaper. 600 people read Hindustan Times and 700 people read Times of India. How many people read only Times of India?
1.200
2.400
3.600
4.700
In a family of 10 members, 7 of them like tea or coffee, 4 of them like tea and 5 of them like coffee. How many of them like both tea and coffee?
1.1
2. 2
3.7
4.9
In a family of 10 members, 7 of them like tea or coffee, 4 of them like tea and 5 of them like coffee. How many of them like neither tea nor coffee?
1.1
2.2
3. 3
4.4
In a family of 10 members, 7 of them like tea or coffee, 4 of them like tea and 5 of them like coffee. How many of them like only tea?
1.2
2.3
3.4
4.5
In a population of 1000 people, 700 people play football, 600 people play cricket, and 100 people play both. Is the data correct?
1.True
2.False
Let a set E ={0,2,4,6,8….} of non-negative even numbers and O = {1, 3, 5, 7, 9,…..} of non-negative odd numbers then?
1.Cardinality of set E is greater than that of O
2.Cardinality of set O is greater than that of E
3.Cardinality of set E is equal to that of O
4.None of the mentioned
The cardinality of the set A = {1, 2, 3, 4, 6} is?
1.5
2.6
3.Integer
4.None of the mentioned
The number of arbitrary constants in a particular solution of a fourth order differential equation is __________________
1.1
2.0
3.4
4.3
The vector whose initial and final points coincide is called ____________
1.unit vector
2.coinitial vectors
3.equal vectors
4.zero vector
The vectors which start from the same initial point are called collinear vectors.
1.True
2.False
Two vectors having the same initial points are called as ________________
1.collinear vectors
2.unit vectors
3.coinitial vectors
4.equal vectors
What is A ∪ B for two mutually exclusive sets A and B?
1.n (A) + n (B)
2.n (A) – n (B)
3.n (B) – n (A)
4.n (A) * n (B)
What is the order of the differential equation of the family of circles with one diameter along the line y = x axis?
1.3
2.2
3.1
4.0
What is the set of all x for which 1/(x – 1)(3 – x) ≤ 1?
1.(-∞, 1) ∪ (3, ∞)
2.(-∞, 1) ∪ (3, ∞) ∪ {2}
3.(-∞, 1) ∪ {2}
4.(3, ∞) ∪ {2}
What will be the set of the interval (a, b]?
1.{x: a < x < b}
2.{x: a ≤ x ≤ b}
3.{x: a < x ≤ b}
4.{x: a ≤ x < b}
Which of the following condition is true for equal vectors?
1.They have the same direction but not same magnitude
2.They have the same magnitude and direction
3.They have the same initial point
4.They are parallel to the same line
Which of the following holds true for a vector quantity?
1.It has only magnitude
2.It has only direction
3.A vector has both direction and magnitude
4.A vector can never be negative
Which of the following is not a vector quantity?
1.Speed
2.Density
3.Force
4.Velocity
Which of the following is the condition for two vectors to be Collinear?
1.The vectors should be parallel to the same line
2.The vectors should have the same initial point
3.The vectors should have the same magnitude
4.The vectors should have the magnitude 1 and 0 respectively
Which of the given qualities is a vector?
1.Speed
2.Time
3.Weight
4.Volume