R4RIN – MCQs, Mock Tests | Mathematics Mathematics MCQs Set-5

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

1. Rational Numbers
2. Integers
3. Whole Numbers
4. Natural Numbers

✅ Correct Answer: 3

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

1. 26
2. 24
3. 28
4. 0

✅ Correct Answer: 1

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

1. True
2. False
3.
4.

✅ Correct Answer: 2

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

1. zero
2. 2
3. 3
4. infinite

✅ Correct Answer: 4

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

1. Rational numbers
2. Integers
3. Natural numbers
4. Whole numbers

✅ Correct Answer: 2

An irrational number has ________

1. Non-terminating decimal
2. Non-repeating decimal
3. Non-terminating and non-repeating decimal
4. Terminating decimal

✅ Correct Answer: 3

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

1. True
2. False
3.
4.

✅ Correct Answer: 2

The product of two irrational numbers is an irrational number.

1. True
2. False
3.
4.

✅ Correct Answer: 2

The sum of two rational numbers is a rational number.

1. False
2. True
3.
4.

✅ Correct Answer: 2

The sum of two irrational numbers is a rational number.

1. False
2. True
3.
4.

✅ Correct Answer: 1

Irrational numbers are denoted by _______

1. N
2. Z
3. Q
4. S

✅ Correct Answer: 4

Real numbers are denoted by which letter?

1. R
2. W
3. Q
4. N

✅ Correct Answer: 1

All irrational numbers are real numbers.

1. True
2. False
3.
4.

✅ Correct Answer: 1

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

1. Six
2. Four
3. Infinite
4. Five

✅ Correct Answer: 3

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

1. True
2. False
3.
4.

✅ Correct Answer: 1

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

✅ Correct Answer: 2

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

1. natural number
2. whole number
3. rational Number
4. irrational number

✅ Correct Answer: 3

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

1. natural number
2. whole number
3. rational Number
4. irrational number

✅ Correct Answer: 3

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

✅ Correct Answer: 3

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

1. natural
2. rational
3. irrational
4. rational or irrational

✅ Correct Answer: 4

3 + 2–√ is a/an __________ number.

1. natural
2. irrational
3. rational
4. whole

✅ Correct Answer: 2

π – π is __________ number.

1. natural
2. irrational
3. rational
4. negative

✅ Correct Answer: 3

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

1. 24
2. 2
3. 12
4. 74

✅ Correct Answer: 2

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

1. 5 + 4√6
2. 5 + 2√6
3. 1
4. 5

✅ Correct Answer: 2

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

✅ Correct Answer: 4

Which of the following is Natural number?

1. 3.5
2. 7
3. 0
4. -2

✅ Correct Answer: 2

Integer numbers set is denoted by which letter?

1. N
2. W
3. Q
4. Z

✅ Correct Answer: 4

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…}

✅ Correct Answer: 1

Zero is a rational number.

1. False
2. True
3.
4.

✅ Correct Answer: 2

There are _________ rational numbers between 2 and 3.

1. zero
2. two
3. infinite
4. data is insufficient

✅ Correct Answer: 3

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

✅ Correct Answer: 2

Which of the following is not rational number?

1. 8/9
2. 5/7
3. -3/2
4. √2

✅ Correct Answer: 4

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

1. Four
2. Zero
3. Seven
4. Three

✅ Correct Answer: 1

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

1. True
2. False
3.
4.

✅ Correct Answer: 1

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

1. True
2. False
3.
4.

✅ Correct Answer: 1

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

1. True
2. False
3.
4.

✅ Correct Answer: 1

Sequences which follow a definite pattern called progressions.

1. True
2. False
3.
4.

✅ Correct Answer: 1

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
3.
4.

✅ Correct Answer: 1

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

1. 32
2. 35
3. 30
4. 33

✅ Correct Answer: 4

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

1. 50
2. 45
3. 40
4. 42

✅ Correct Answer: 3

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

1. 30
2. -34
3. 34
4. -30

✅ Correct Answer: 2

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

1. 22
2. 21
3. 23
4. 24

✅ Correct Answer: 1

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

✅ Correct Answer: 3

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

✅ Correct Answer: 2

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

✅ Correct Answer: 1

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

1. 200
2. 580
3. 620
4. 440

✅ Correct Answer: 2

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

1. 10000
2. 14400
3. 10500
4. 12100

✅ Correct Answer: 3

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

1. 247050
2. 269450
3. 269350
4. 269580

✅ Correct Answer: 1

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

1. 345
2. 245
3. 275
4. 285

✅ Correct Answer: 3

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

✅ Correct Answer: 2

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

✅ Correct Answer: 1

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

✅ Correct Answer: 4

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

✅ Correct Answer: 2

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

✅ Correct Answer: 4

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}

✅ Correct Answer: 3

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}

✅ Correct Answer: 4

Does A-B=B-A always correct?

1. True
2. False
3.
4.

✅ Correct Answer: 2

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

1. equivalent sets
2. equal sets
3. disjoint sets
4. empty sets

✅ Correct Answer: 2

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

1. True
2. False
3.
4.

✅ Correct Answer: 1

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

✅ Correct Answer: 3