Mathematics-Mathematics MCQs Set/5 Sample Test,Sample questions

Question:
3 + 2–√ is a/an __________ number.

1.natural

2.irrational

3.rational

4.whole


Question:
A – B, A ∩ B and B – A are mutually disjoint sets or not.

1.True

2.False


Question:
A sequence in which each term differs from its preceding term by a constant is called arithmetic progression.

1.True

2.False


Question:
All irrational numbers are real numbers.

1.True

2.False


Question:
An irrational number has ________

1.Non-terminating decimal

2.Non-repeating decimal

3.Non-terminating and non-repeating decimal

4.Terminating decimal


Question:
Between any consecutive two integers, there are always infinite integers.

1.True

2.False


Question:
By simplifying (3–√+2–√)∗(3–√+2–√), we get __________

1.5 + 4√6

2.5 + 2√6

3.1

4. 5


Question:
By simplifying (7–√+5–√)∗(7–√−5–√), we get __________

1.24

2.2

3.12

4. 74


Question:
By using the properties of rational numbers solve the following equation (8 + 0) + (6 * 3).

1.26

2. 24

3.28

4.0


Question:
Does A-B=B-A always correct?

1.True

2.False


Question:
Every point on the number line represents a unique real number.

1.True

2.False


Question:
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…}


Question:
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


Question:
How many real numbers are there between 3 and 8 (Including 3 and 8)?

1.Six

2.Four

3.Infinite

4.Five


Question:
How many terms are there in the AP 9, 16, 23, 30……………282?

1.50

2.45

3.40

4.42


Question:
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


Question:
How many whole numbers are there between -3 and 3 (Including -3 and 3)?

1.Four

2.Zero

3. Seven

4.Three


Question:
If A-B=B-A then A and B are ____________

1.equivalent sets

2.equal sets

3.disjoint sets

4.empty sets


Question:
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


Question:
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}


Question:
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}


Question:
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


Question:
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


Question:
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


Question:
If we add or subtract two irrational numbers, we get __________ number.

1.natural

2.rational

3.irrational

4.rational or irrational


Question:
If we add the terms of an AP, then we get a corresponding series.

1.True

2.False


Question:
If we multiply or divide two rational numbers, we get a/an __________

1.natural number

2.whole number

3.rational Number

4.irrational number


Question:
Integer numbers set is denoted by which letter?

1.N

2.W

3.Q

4.Z


Question:
Irrational numbers are denoted by _______

1.N

2.Z

3.Q

4.S


Question:
π – π is __________ number.

1.natural

2.irrational

3.rational

4.negative


Question:
N is subset of W, Z and Q. (Assume conventional notations)

1.True

2.False


Question:
Real numbers are denoted by which letter?

1.R

2.W

3. Q

4.N


Question:
Sequences which follow a definite pattern called progressions.

1.True

2.False


Question:
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


Question:
Summation or Subtraction of two non-zero rational numbers is a/an __________

1.natural number

2.whole number

3. rational Number

4.irrational number


Question:
The maximum number of integers between two consecutive natural numbers is ________

1.zero

2.2

3.3

4.infinite


Question:
The middle term of the AP 11, 8, 5, … , -79 will be?

1.30

2.-34

3.34

4.-30


Question:
The product of a rational and an irrational number is rational number.

1.True

2.False


Question:
The product of two irrational numbers is an irrational number.

1.True

2.False


Question:
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


Question:
The sum of 50 + 100 + 150 + 200 + …….. + 1000 is _________

1.10000

2.14400

3.10500

4.12100


Question:
The sum of all 2 – digit numbers divisible by 19 will be __________

1.345

2.245

3.275

4.285


Question:
The sum of first 20 terms of the AP 10, 12, 14, 16, 18…. is _________

1.200

2.580

3.620

4.440


Question:
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


Question:
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


Question:
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


Question:
The sum of two irrational numbers is a rational number.

1.False

2. True


Question:
The sum of two rational numbers is a rational number.

1.False

2.True


Question:
There are _________ rational numbers between 2 and 3.

1.zero

2.two

3.infinite

4.data is insufficient


Question:
What will be the sum of all 3-digit even positive numbers?

1.247050

2.269450

3.269350

4.269580


Question:
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


Question:
Which of the following is Natural number?

1.3.5

2.7

3.0

4.-2


Question:
Which of the following is not rational number?

1.8/9

2.5/7

3.-3/2

4.√2


Question:
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


Question:
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


Question:
Which of the following type of numbers are closed under only multiplication?

1.Rational Numbers

2.Integers

3.Whole Numbers

4.Natural Numbers


Question:
Which term of the AP 2, 11, 20, 29…… is 290?

1.32

2.35

3.30

4.33


Question:
Which term of the AP 80, 76, 72, 68……. is the first negative term?

1.22

2.21

3.23

4.24


Question:
Zero is a rational number.

1.False

2.True


Question:
[….., -1, 0, 1, …….] the given set shows which type of numbers?

1.Rational numbers

2.Integers

3.Natural numbers

4.Whole numbers


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