If 200 people like tea, 300 people like coffee and 250 people like both. Is the data correct?
1.True
2.False
Posted Date:-2022-05-15 08:40:30
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
Posted Date:-2022-05-15 08:38:36
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
Posted Date:-2022-05-15 08:36:08
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
Posted Date:-2022-05-15 08:40:08
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
Posted Date:-2022-05-15 08:39:11
A scalar quantity has only magnitude and no direction.
1.True
2.False
Posted Date:-2022-05-15 09:17:21
A set can be a collection but a collection cannot be a set.
1.True
2.False
Posted Date:-2022-05-15 09:14:13
A unit vector is a vector whose magnitude is unity.
1.True
2.False
Posted Date:-2022-05-15 09:20:32
Cardinality of the set of even prime number under 10 is 4.
1.True
2.False
Posted Date:-2022-05-15 08:45:06
Cardinality of the set of lower letter english alphabets is 26.
1.True
2.False
Posted Date:-2022-05-15 08:44:40
Find the degree of the differential equation yâ€-12cosec y=0.
1.1
2.2
3.4
4.Not defined
Posted Date:-2022-05-15 09:24:55
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
Posted Date:-2022-05-15 09:25:36
Find the order of the differential equation y’-20y+2=0.
1.2
2.8
3.0
4.1
Posted Date:-2022-05-15 09:24:19
For two equal sets there ___________
1.Cardinality is same
2.Cardinality is different
3.May be same or different
4.None of the mentioned
Posted Date:-2022-05-15 08:42:02
How is a set denoted?
1.()
2.{}
3.[]
4.**
Posted Date:-2022-05-15 08:56:04
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
Posted Date:-2022-05-15 09:26:33
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
Posted Date:-2022-05-15 08:51:48
How to solve for x, if |x-1| ≥ 3?
1.(-∞, -2) ∪ (4, ∞)
2.(-∞, -2] ∪ [4, ∞)
3.(0, -2] ∪ (4, 0)
4.(-∞, ∞) – {-2, 4}
Posted Date:-2022-05-15 09:12:50
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}
Posted Date:-2022-05-15 08:56:31
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}
Posted Date:-2022-05-15 08:57:13
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
Posted Date:-2022-05-15 08:47:15
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
Posted Date:-2022-05-15 08:42:42
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
Posted Date:-2022-05-15 08:46:35
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
Posted Date:-2022-05-15 08:45:48
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
Posted Date:-2022-05-15 08:29:42
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
Posted Date:-2022-05-15 08:32:16
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
Posted Date:-2022-05-15 08:30:22
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
Posted Date:-2022-05-15 08:43:34
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
Posted Date:-2022-05-15 08:36:46
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
Posted Date:-2022-05-15 08:37:24
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
Posted Date:-2022-05-15 08:38:00
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
Posted Date:-2022-05-15 08:34:11
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
Posted Date:-2022-05-15 08:34:50
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
Posted Date:-2022-05-15 08:35:30
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
Posted Date:-2022-05-15 08:39:33
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
Posted Date:-2022-05-15 08:44:17
The cardinality of the set A = {1, 2, 3, 4, 6} is?
1.5
2.6
3.Integer
4.None of the mentioned
Posted Date:-2022-05-15 08:41:24
The number of arbitrary constants in a particular solution of a fourth order differential equation is __________________
1.1
2.0
3.4
4.3
Posted Date:-2022-05-15 09:27:12
The vector whose initial and final points coincide is called ____________
1.unit vector
2.coinitial vectors
3.equal vectors
4.zero vector
Posted Date:-2022-05-15 09:21:55
The vectors which start from the same initial point are called collinear vectors.
1.True
2.False
Posted Date:-2022-05-15 09:22:18
Two vectors having the same initial points are called as ________________
1.collinear vectors
2.unit vectors
3.coinitial vectors
4.equal vectors
Posted Date:-2022-05-15 09:20:10
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)
Posted Date:-2022-05-15 08:33:17
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
Posted Date:-2022-05-15 09:28:20
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}
Posted Date:-2022-05-15 09:13:28
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}
Posted Date:-2022-05-15 09:12:01
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
Posted Date:-2022-05-15 09:21:13
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
Posted Date:-2022-05-15 09:16:49
Which of the following is not a vector quantity?
1.Speed
2.Density
3.Force
4.Velocity
Posted Date:-2022-05-15 09:19:00
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
Posted Date:-2022-05-15 09:23:02
Which of the given qualities is a vector?
1.Speed
2.Time
3.Weight
4.Volume
Posted Date:-2022-05-15 09:18:15