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Solved CBSE Class 8 Maths Chapter 16 Assertion and Reason Questions – Playing with Numbers. 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 16 Playing with Numbers
1.) Assertion (A) –The generalised form of the number 52 is 10 × 5 + 2
Reasons (R) –A number is said to be in a generalized form if it is expressed as the sum of the product of its digits with their respective place values
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) –The generalised form of the number 33 is10 × 3 + 3
Reasons (R) –A number is said to be in a generalized form if it is expressed as the sum of the product of its digits with their respective place values
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) –The number 10 × 7 + 5 in usual form is 77
Reasons (R) –Usual form is a way to write very large or very small numbers in a more compact form
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) –The number 10 × 2 + 7 in usual form is 22
Reasons (R) –Usual form is a way to write very large or very small numbers in a more compact form
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) –The generalised form of the number 123 is3 × 100 + 1 × 10 + 2
Reasons (R) –A number is said to be in a generalized form if it is expressed as the sum of the product of its digits with their respective place values
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 generalised form of the number 234 is2 × 100 + 3 × 10 + 4
Reasons (R) –A number is said to be in a generalized form if it is expressed as the sum of the product of its digits with their respective place values
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 3 × 100 + 4 × 10 + 5 in usual form is345.
Reasons (R) –Usual form is a way to write very large or very small numbers in a more compact form
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 5 × 100 + 7 × 10 + 9 in usual form is 579
Reasons (R) –Usual form is a way to write very large or very small numbers in a more compact form
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 number 100 × a + 10 × 6 + c in usual form is bca
Reasons (R) –Usual form is a way to write very large or very small numbers in a more compact form
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 number 100 × b + 10 × c + a in usual form is bca
Reasons (R) –Usual form is a way to write very large or very small numbers in a more compact form
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) –50 is divisible by 2
Reasons (R) –All even numbers are 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) –235 is divisible by 2
Reasons (R) –All even numbers are 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
13.) Assertion (A) – 670is not divisible by 2
Reasons (R) –All even numbers are 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
14.) Assertion (A) –532 is not divisible by 2
Reasons (R) –All even numbers are 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
15.) Assertion (A) –If the number 1 x 8 is divisible by 3, then x is equal to0 or 3 or 6 or 9
Reasons (R) –According to the divisibility rule of 3, any big number is exactly divisible by 3 if the sum of the digits is a multiple of 3
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) –If the number 9 y 7 is a multiple of 3, then y =2 or 5 or 8.
Reasons (R) –According to the divisibility rule of 3, any big number is exactly divisible by 3 if the sum of the digits is a multiple of 3
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) –If the three-digit number 4 3 x is divisible by 9, the value of x=4
Reasons (R) –A number is divisible by 9, if the sum is a multiple of 9 or if the sum of its digits is divisible by 9.
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) –If the three-digit number x 2 7 is divisible by 9, then the value of x is 9
Reasons (R) –A number is divisible by 9, if the sum is a multiple of 9 or if the sum of its digits is divisible by 9
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) –If the three-digit number 6 y 8 is divisible by 9, then the value of y is 4
Reasons (R) –A number is divisible by 9, if the sum is a multiple of 9 or if the sum of its digits is divisible by 9
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) –134 is not divisible by 3
Reasons (R) ––According to the divisibility rule of 3, any big number is exactly divisible by 3 if the sum of the digits is a multiple of 3
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) –243 is not divisible by 3
Reasons (R) –According to the divisibility rule of 3, any big number is exactly divisible by 3 if the sum of the digits is a multiple of 3
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) –237 is not divisible by 3
Reasons (R) –According to the divisibility rule of 3, any big number is exactly divisible by 3 if the sum of the digits is a multiple of 3
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) – 234is divisible by 9
Reasons (R) –A number is divisible by 9, if the sum is a multiple of 9 or if the sum of its digits is divisible by 9
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) –351 is not divisible by 9
Reasons (R) –A number is divisible by 9, if the sum is a multiple of 9 or if the sum of its digits is divisible by 9
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) –513 is divisible by 9
Reasons (R) –A number is divisible by 9, if the sum is a multiple of 9 or if the sum of its digits is divisible by 9
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 usual form of 100 × 7 + 10 × 1 + 8 is 718
Reasons (R) –Usual form is a way to write very large or very small numbers in a more compact form
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) –If a number is divisible 9, then it is divisible by 6
Reasons (R) –A number is divisible by 9, if the sum is a multiple of 9 or if the sum of its digits is divisible by 9
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 general form of abc is 100b + 10c + a
Reasons (R) –A number is said to be in a generalized form if it is expressed as the sum of the product of its digits with their respective place values
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) –The generalised form of 129 is 100 + 20 + 9
Reasons (R) –A number is said to be in a generalized form if it is expressed as the sum of the product of its digits with their respective place values
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) –The number 15287 is divisible by 9
Reasons (R) –A number is divisible by 9, if the sum is a multiple of 9 or if the sum of its digits is divisible by 9
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:d 6:a
7:a 8:a 9:d 10:a 11:a 12:d
13:d 14:a 15:a 16:b 17:d 18:a
19:a 20:a 21:d 22:d 23:a 24:d
25:a 26:a 27:d 28:d 29:a 30:d