[….., -1, 0, 1, …….] the given set shows which type of numbers?
1.Rational numbers
2.Integers
3.Natural numbers
4.Whole numbers
3 + 2–√ is a/an __________ number.
1.natural
2.irrational
3.rational
4.whole
A – B, A ∩ B and B – A are mutually disjoint sets or not.
1.True
2.False
A sequence in which each term differs from its preceding term by a constant is called arithmetic progression.
1.True
2.False
All irrational numbers are real numbers.
1.True
2.False
An irrational number has ________
1.Non-terminating decimal
2.Non-repeating decimal
3.Non-terminating and non-repeating decimal
4.Terminating decimal
Between any consecutive two integers, there are always infinite integers.
1.True
2.False
By simplifying (3–√+2–√)∗(3–√+2–√), we get __________
1.5 + 4√6
2.5 + 2√6
3.1
4. 5
By simplifying (7–√+5–√)∗(7–√−5–√), we get __________
1.24
2.2
3.12
4. 74
By using the properties of rational numbers solve the following equation (8 + 0) + (6 * 3).
1.26
2. 24
3.28
4.0
Does A-B=B-A always correct?
1.True
2.False
Every point on the number line represents a unique real number.
1.True
2.False
Find the incorrect option (Assume conventional notations).
1.Q = p/q where p and q are integers and q=0
2.N = {1, 2, 3…}
3.W = {0, 1, 2, 3…}
4.Z = {…-2, -1, 0, 1, 2…}
Four numbers whose sum is 40 and sum of their squares is 480. What are the four numbers?
1.4, 8, 12, and -16
2.4, 8, 12, and 16
3.-4, 8, 12, and 16
4.4, -8, 12, and 16
How many real numbers are there between 3 and 8 (Including 3 and 8)?
1.Six
2.Four
3.Infinite
4.Five
How many terms are there in the AP 9, 16, 23, 30……………282?
1.50
2.45
3.40
4.42
How many terms of the AP 5,10,15,20….. must be added to get a sum of 330?
1.-11
2.-12
3.12
4.11
How many whole numbers are there between -3 and 3 (Including -3 and 3)?
1.Four
2.Zero
3. Seven
4.Three
π – π is __________ number.
1.natural
2.irrational
3.rational
4.negative
If A-B=B-A then A and B are ____________
1.equivalent sets
2.equal sets
3.disjoint sets
4.empty sets
If R is the set of real numbers and S is the set of rational numbers, then what is R – S?
1.Set of integers
2.Set of whole numbers
3.Set of irrational numbers
4.Set of complex numbers
If set A = {1,2,3,4} and B = {3,4,5,6}. Find B-A.1.{1,2,3,4,5,6}
2.{3,4}
3.{1,2}
4.{5,6}
If set A={1,2,3,4} and B={3,4,5,6}. Find A-B.1.{1,2,3,4,5,6}
2.{3,4}
3.{1,2}
4.{5,6}
If the first term of an AP is a and its common difference is d then the nth term is given by Tn = a + (n – 1)d
1.True
2.False
If the sum of first n terms of an AP is given by Sn = 4n2 + 6, then its first term will be _________
1.4
2.3
3.5
4.1
If we add or subtract an irrational number and a rational number (non-zero), then we get a/an __________ number.
1.natural
2.rational
3. irrational
4.rational or irrational
If we add or subtract two irrational numbers, we get __________ number.
1.natural
2.rational
3.irrational
4.rational or irrational
If we add the terms of an AP, then we get a corresponding series.
1.True
2.False
If we multiply or divide two rational numbers, we get a/an __________
1.natural number
2.whole number
3.rational Number
4.irrational number
Integer numbers set is denoted by which letter?
1.N
2.W
3.Q
4.Z
Irrational numbers are denoted by _______
1.N
2.Z
3.Q
4.S
N is subset of W, Z and Q. (Assume conventional notations)
1.True
2.False
Real numbers are denoted by which letter?
1.R
2.W
3. Q
4.N
Sequences which follow a definite pattern called progressions.
1.True
2.False
Summation or Subtraction of rational number and irrational number is always a/an __________ number.
1.natural
2.whole number
3.rational number
4.irrational number
Summation or Subtraction of two non-zero rational numbers is a/an __________
1.natural number
2.whole number
3. rational Number
4.irrational number
The maximum number of integers between two consecutive natural numbers is ________
1.zero
2.2
3.3
4.infinite
The middle term of the AP 11, 8, 5, … , -79 will be?
1.30
2.-34
3.34
4.-30
The product of a rational and an irrational number is rational number.
1.True
2.False
The product of two irrational numbers is an irrational number.
1.True
2.False
The sum of 5 numbers in AP is 10 and their product is 80. What are the five numbers?
1.2 + 2√6, 2 + √6, 2, 2 – 2√6, 2 – √6
2.2 + 2√6, 2 + √6, 2 – 2√6, 2 – √6
3.2 + 2√6, 2 – √6, 2, 2 – 2√6, 2 – √6
4.2 + 2√6, 2, 2 – 2√6, 2 – √6
The sum of 50 + 100 + 150 + 200 + …….. + 1000 is _________
1.10000
2.14400
3.10500
4.12100
The sum of all 2 – digit numbers divisible by 19 will be __________
1.345
2.245
3.275
4.285
The sum of first 20 terms of the AP 10, 12, 14, 16, 18…. is _________
1.200
2.580
3.620
4.440
The sum of the first 10 terms of an AP is the same as the sum of its first 5 terms, then the sum of its 15th term will be _______
1.1
2.0
3.2
4.3
The sum of the first 12 terms of an AP is 15 and the sum of its first 15 terms is 12, then the sum of its first 27 terms will be __________
1.-24
2.24
3.27
4.-27
The sum of three numbers is 30 and their product 750. What are the three numbers?
1.-2, -6 and -10
2.2, 6, and 10
3.5, 10 and 15
4.-5, -10 and -15
The sum of two irrational numbers is a rational number.
1.False
2. True
The sum of two rational numbers is a rational number.
1.False
2.True
There are _________ rational numbers between 2 and 3.
1.zero
2.two
3.infinite
4.data is insufficient
What will be the sum of all 3-digit even positive numbers?
1.247050
2.269450
3.269350
4.269580
What will be the sum of all natural numbers lying between 500 and 5000, which are divisible by 17?
1.567898
2.729810
3.765835
4.234526
Which of the following is Natural number?
1.3.5
2.7
3.0
4.-2
Which of the following is not rational number?
1.8/9
2.5/7
3.-3/2
4.√2
Which of the following option is correct according to the below statements? i) Every rational number is real number. ii) Every real number is rational number.
1.Both statements are correct
2.Statement (i) is correct and statement (ii) is incorrect
3.Statement (i) is incorrect and statement (ii) is correct
4.Both statements are incorrect
Which of the following option is true based on the below statements? i) All integers are rational numbers. ii) All rational numbers are integers.
1.Both statements are true
2.Statement (i) is true and Statement (ii) is false
3.Statement (i) is false and Statement (ii) is true
4.Both statements are false
Which of the following type of numbers are closed under only multiplication?
1.Rational Numbers
2.Integers
3.Whole Numbers
4.Natural Numbers
Which term of the AP 2, 11, 20, 29…… is 290?
1.32
2.35
3.30
4.33
Which term of the AP 80, 76, 72, 68……. is the first negative term?
1.22
2.21
3.23
4.24
Zero is a rational number.
1.False
2.True