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Solved CBSE Class 8 Maths Chapter 6 Assertion and Reason Questions – Squares and Square Roots. Here we (Net Explanations) working very hard to providing you with the Important Assertion Reason Questions for this Chapter.
Assertion and Reason Questions Class 8 Maths Chapter 6 Squares and Square Roots
1.) Assertion (A) –The perfect square number out of 2, 3, 4 and 5 is 4.
Reasons (R)–A perfect square is a number that can be expressed as the product of an integer by itself or as the second exponent of an integer.
a) Both A and R are true and R is the correct explanation of A
b) Both A and R are true but R is not the correct explanation of A
c) A is true but R is false
d) A is false but R is true
2.) Assertion (A) –A perfect square number between 30 and 40 is 36.
Reasons (R) –A perfect square is a number that can be expressed as the product of an integer by itself or as the second exponent of an integer.
a) Both A and R are true and R is the correct explanation of A
b) Both A and R are true but R is not the correct explanation of A
c) A is true but R is false
d) A is false but R is true
3.) Assertion (A) –Between 50 and 60, the perfect square number is 54.
Reasons (R) –A perfect square is a number that can be expressed as the product of an integer by itself or as the second exponent of an integer.
a) Both A and R are true and R is the correct explanation of A
b) Both A and R are true but R is not the correct explanation of A
c) A is true but R is false
d) A is false but R is true
4.) Assertion (A) –7828 is a perfect square number.
Reasons (R) –A perfect square is a number that can be expressed as the product of an integer by itself or as the second exponent of an integer.
a) Both A and R are true and R is the correct explanation of A
b) Both A and R are true but R is not the correct explanation of A
c) A is true but R is false
d) A is false but R is true
5.) Assertion (A) –10000 is a perfect square number
Reasons (R) –A perfect square is a number that can be expressed as the product of an integer by itself or as the second exponent of an integer.
a) Both A and R are true and R is the correct explanation of A
b) Both A and R are true but R is not the correct explanation of A
c) A is true but R is false
d) A is false but R is true
6.) Assertion (A) –the number of zeros in the square of the number 100 is 4.
Reasons (R) –The number of zeros at the end of the number obtained, by multiplying the number from 1 to 100 will be.
a) Both A and R are true and R is the correct explanation of A
b) Both A and R are true but R is not the correct explanation of A
c) A is true but R is false
d) A is false but R is true
7.) Assertion (A) –the number of zeros in the square of the number 50 is 3
Reasons (R) –The number of zeros at the end of the number obtained, by multiplying the number from 1 to 100 will be.
a) Both A and R are true and R is the correct explanation of A
b) Both A and R are true but R is not the correct explanation of A
c) A is true but R is false
d) A is false but R is true
8.) Assertion (A) –the number of zeros in the square of the number 9000 is 6.
Reasons (R) –The number of zeros at the end of the number obtained, by multiplying the number from 1 to 100 will be.
a) Both A and R are true and R is the correct explanation of A
b) Both A and R are true but R is not the correct explanation of A
c) A is true but R is false
d) A is false but R is true
9.) Assertion (A) –the Square of the following numbers will be even
11, 111, 1111
Reasons (R) –Even numbers are those numbers that can be divided into two equal groups or pairs and are exactly divisible by 2.
a) Both A and R are true and R is the correct explanation of A
b) Both A and R are true but R is not the correct explanation of A
c) A is true but R is false
d) A is false but R is true
10.) Assertion (A) –the Square of the following numbers will be odd
10, 100, 1000, 99
Reasons (R) –An odd number is an integer when divided by two, either leaves a remainder or the result is a fraction.
a) Both A and R are true and R is the correct explanation of A
b) Both A and R are true but R is not the correct explanation of A
c) A is true but R is false
d) A is false but R is true
11.) Assertion (A) –the Square of the following number will be even 50
Reasons (R) –Even numbers are those numbers that can be divided into two equal groups or pairs and are exactly divisible by 2.
a) Both A and R are true and R is the correct explanation of A
b) Both A and R are true but R is not the correct explanation of A
c) A is true but R is false
d) A is false but R is true
12.) Assertion (A) –the Square of the following numbers will be odd 81.
Reasons (R) –An odd number is an integer when divided by two, either leaves a remainder or the result is a fraction.
a) Both A and R are true and R is the correct explanation of A
b) Both A and R are true but R is not the correct explanation of A
c) A is true but R is false
d) A is false but R is true
13.) Assertion (A) –natural numbers lie between 12² and 13² are 24.
Reasons (R) –Natural numbers are the positive integers or non-negative integers which start from 1 and ends at infinity.
a) Both A and R are true and R is the correct explanation of A
b) Both A and R are true but R is not the correct explanation of A
c) A is true but R is false
d) A is false but R is true
14.) Assertion (A) – nonsquare numbers lie between the pair of numbers 80² and 81² are 160.
Reasons (R) –squares of 12 and 13 and then subtract square of 12 from square of 13, we get numbers of non-square numbers
a) Both A and R are true and R is the correct explanation of A
b) Both A and R are true but R is not the correct explanation of A
c) A is true but R is false
d) A is false but R is true
15.) Assertion (A) –nonsquare numbers he between the pair of numbers 36² and 37² are 74.
Reasons (R) –squares of 12 and 13 and then subtract square of 12 from square of 13, we get numbers of non-square numbers
a) Both A and R are true and R is the correct explanation of A
b) Both A and R are true but R is not the correct explanation of A
c) A is true but R is false
d) A is false but R is true
16.) Assertion (A) –nonsquare numbers he between the pair of numbers 500² and 501² are 1001
Reasons (R) –squares of 12 and 13 and then subtract square of 12 from square of 13, we get numbers of non-square numbers
a) Both A and R are true and R is the correct explanation of A
b) Both A and R are true but R is not the correct explanation of A
c) A is true but R is false
d) A is false but R is true
17.) Assertion (A) –9² = 40+41
Reasons (R) –The sum of any two consecutive numbers is always odd
a) Both A and R are true and R is the correct explanation of A
b) Both A and R are true but R is not the correct explanation of A
c) A is true but R is false
d) A is false but R is true
18.) Assertion (A) –7² = 23+24
Reasons (R) –The sum of any two consecutive numbers is always odd
a) Both A and R are true and R is the correct explanation of A
b) Both A and R are true but R is not the correct explanation of A
c) A is true but R is false
d) A is false but R is true
19.) Assertion (A) –The unit digit number 132 is in the square of the 4.
Reasons (R) –Units digit of a number is the digit in the one’s place of the number. i.e. it is the rightmost digit of the number.
a) Both A and R are true and R is the correct explanation of A
b) Both A and R are true but R is not the correct explanation of A
c) A is true but R is false
d) A is false but R is true
20.) Assertion (A) –The unit digit in the square of the number 1000 is 1.
Reasons (R) –Units digit of a number is the digit in the one’s place of the number. i.e. it is the rightmost digit of the number.
a) Both A and R are true and R is the correct explanation of A
b) Both A and R are true but R is not the correct explanation of A
c) A is true but R is false
d) A is false but R is true
21.) Assertion (A) –The unit digit in the square of the number 1111 is 1
Reasons (R) –Units digit of a number is the digit in the one’s place of the number. i.e. it is the rightmost digit of the number.
a) Both A and R are true and R is the correct explanation of A
b) Both A and R are true but R is not the correct explanation of A
c) A is true but R is false
d) A is false but R is true
22.) Assertion (A) –The unit digit in the square of the number 1333 is 9.
Reasons (R) –Units digit of a number is the digit in the one’s place of the number. i.e. it is the rightmost digit of the number.
a) Both A and R are true and R is the correct explanation of A
b) Both A and R are true but R is not the correct explanation of A
c) A is true but R is false
d) A is false but R is true
23.) Assertion (A) –The unit digit in the square of the number 2644 is 4
Reasons (R) –Units digit of a number is the digit in the one’s place of the number. i.e. it is the rightmost digit of the number.
a) Both A and R are true and R is the correct explanation of A
b) Both A and R are true but R is not the correct explanation of A
c) A is true but R is false
d) A is false but R is true
24.) Assertion (A) –The unit digit in the square of the number 125 is 5
Reasons (R) –Units digit of a number is the digit in the one’s place of the number. i.e. it is the rightmost digit of the number.
a) Both A and R are true and R is the correct explanation of A
b) Both A and R are true but R is not the correct explanation of A
c) A is true but R is false
d) A is false but R is true
25.) Assertion (A) –The unit digit in the square of the number 166 is 6.
Reasons (R) –Units digit of a number is the digit in the one’s place of the number. i.e. it is the rightmost digit of the number.
a) Both A and R are true and R is the correct explanation of A
b) Both A and R are true but R is not the correct explanation of A
c) A is true but R is false
d) A is false but R is true
26.) Assertion (A) –The unit digit in the square of the number 27 is 5
Reasons (R) –Units digit of a number is the digit in the one’s place of the number. i.e. it is the rightmost digit of the number.
a) Both A and R are true and R is the correct explanation of A
b) Both A and R are true but R is not the correct explanation of A
c) A is true but R is false
d) A is false but R is true
27.) Assertion (A) –The unit digit in the square of the number 78 is 4
Reasons (R) –Units digit of a number is the digit in the one’s place of the number. i.e. it is the rightmost digit of the number.
a) Both A and R are true and R is the correct explanation of A
b) Both A and R are true but R is not the correct explanation of A
c) A is true but R is false
d) A is false but R is true
28.) Assertion (A) –The unit digit in the square of the number 209 is 1
Reasons (R) –Units digit of a number is the digit in the one’s place of the number. i.e. it is the rightmost digit of the number.
a) Both A and R are true and R is the correct explanation of A
b) Both A and R are true but R is not the correct explanation of A
c) A is true but R is false
d) A is false but R is true
29.) Assertion (A) –If 102 = 100, then the square root of 100 is 10
Reasons (R) –The square root is the number that we need to multiply by itself to get the original number.
a) Both A and R are true and R is the correct explanation of A
b) Both A and R are true but R is not the correct explanation of A
c) A is true but R is false
d) A is false but R is true
30.) Assertion (A) –If 252 = 625, then the square root of 625 is 125
Reasons (R) –The square root is the number that we need to multiply by itself to get the original number.
a) Both A and R are true and R is the correct explanation of A
b) Both A and R are true but R is not the correct explanation of A
c) A is true but R is false
d) A is false but R is true
Answers:
1:a 2:a 3:d 4:d 5:a 6:a
7:d 8:a 9:d 10:d 11:a 12:a
13:a 14:a 15:d 16:d 17:a 18:d
19:a 20:d 21:a 22:a 23:d 24:a
25:a 26:d 27:a 28:a 29:a 30:d
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