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Solved CBSE Class 8 Maths Chapter 14 Assertion and Reason Questions – Factorisation. 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 14 Factorisation
1.) Assertion (A) –The common factor of x²y² and x³y³ isx²y²
Reasons (R) –The factorisation is defined as expressing or decomposing a number or an algebraic expression as a product of its prime factors or irreducible factors.
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 common factor of x3y2 and x4y isx3y.
Reasons (R) –The factorisation is defined as expressing or decomposing a number or an algebraic expression as a product of its prime factors or irreducible factors.
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 common factor of a2 m4 and a4m2 isa2m4
Reasons (R) –A common factor is a number that can be divided into two different numbers, without leaving a remainder.
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 common factor of p3q4 and p4q3 isp3q3
Reasons (R) –A common factor is a number that can be divided into two different numbers, without leaving a remainder.
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 common factor 12y and 30 is 12
Reasons (R) –A common factor is a number that can be divided into two different numbers, without leaving a remainder.
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 common factor of 2x, 3×3, 4 is 1
Reasons (R) –A common factor is a number that can be divided into two different numbers, without leaving a remainder.
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 common factor of 10ab, 30bc, 50ca is 10
Reasons (R) –A common factor is a number that can be divided into two different numbers, without leaving a remainder.
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 common factor of 14a2b and 35a4b² is14a²b
Reasons (R) –A common factor is a number that can be divided into two different numbers, without leaving a remainder.
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 common factor of 8a2b4c2, 12a4bc4 and 20a3b4 is4a2b.
Reasons (R) –A common factor is a number that can be divided into two different numbers, without leaving a remainder.
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 common factor of 6a3b4c2, 21a2b and 15a3 is3a2
Reasons (R) –A common factor is a number that can be divided into two different numbers, without leaving a remainder.
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 common factor of 2a2b4c2, 8a4b3c4 and 6a3b4c2 is 2a2b3c2
Reasons (R) –A common factor is a number that can be divided into two different numbers, without leaving a remainder.
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 common factor of 3a2b4c2, 12b2c4 and 15a3b4c4 is15b2c4
Reasons (R) –A common factor is a number that can be divided into two different numbers, without leaving a remainder.
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) –The common factor of 24x3y4, 36x4z4 and 48x3y2z is12x3
Reasons (R) –A common factor is a number that can be divided into two different numbers, without leaving a remainder.
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) –The common factor of 72x3y4z4, 120z2d4x4 and 96y3z4d4 is72z3
Reasons (R) –A common factor is a number that can be divided into two different numbers, without leaving a remainder.
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) –The common factor of 36p2q3x4, 48pq3x2 and 54p3q3x4 is6pq3x2
Reasons (R) –A common factor is a number that can be divided into two different numbers, without leaving a remainder.
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) –The factorisation of 12a2b + 15ab2 is3ab (4a + 5b)
Reasons (R) –The factorisation is defined as expressing or decomposing a number or an algebraic expression as a product of its prime factors or irreducible factors.
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) –The factorisation of 10x2 – 18x3 + 14x4 is2 (7x2 – 9x + 5)
Reasons (R) –The factorisation is defined as expressing or decomposing a number or an algebraic expression as a product of its prime factors or irreducible factors.
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) –The factorisation of 6x – 42 is6(x + 7)
Reasons (R) –The factorisation is defined as expressing or decomposing a number or an algebraic expression as a product of its prime factors or irreducible factors.
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 factorisation of 6x + 12y is 6(x + 2y)
Reasons (R) –The factorisation is defined as expressing or decomposing a number or an algebraic expression as a product of its prime factors or irreducible factors.
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 factorisation of 28a3b5 – 42a5b3 is14a3b3(2b2 – 3a2)
Reasons (R) –The factorisation is defined as expressing or decomposing a number or an algebraic expression as a product of its prime factors or irreducible factors.
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 factorisation of a3 + a2b + ab2 isa(a2 + ab + b2)
Reasons (R) –The factorisation is defined as expressing or decomposing a number or an algebraic expression as a product of its prime factors or irreducible factors.
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 factorisation of x2yz + xy2z + xyz2 isxyz2(x + y + z).
Reasons (R) –The factorisation is defined as expressing or decomposing a number or an algebraic expression as a product of its prime factors or irreducible factors.
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 factorisation of ax2y + bxy2 + cxyz isaxy (ax + by + cz)
Reasons (R) –The factorisation is defined as expressing or decomposing a number or an algebraic expression as a product of its prime factors or irreducible factors.
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 factorisation ofa (x + y + z) + b(x + y + z) + c(x + y + z) is(xy + yz + zx)(a + b + c)
Reasons (R) –The factorisation is defined as expressing or decomposing a number or an algebraic expression as a product of its prime factors or irreducible factors.
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 factorisation of 6xy – 4y + 6 – 9x is (3x – 2) (2y – 3)
Reasons (R) –The factorisation is defined as expressing or decomposing a number or an algebraic expression as a product of its prime factors or irreducible factors.
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 factorisation of x2 + xy + 2x + 2y is(x + 2) (x – y)
Reasons (R) –The factorisation is defined as expressing or decomposing a number or an algebraic expression as a product of its prime factors or irreducible factors.
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 factorisation of ax + bx – ay – by is(x – y) (a + b)
Reasons (R) –The factorisation is defined as expressing or decomposing a number or an algebraic expression as a product of its prime factors or irreducible factors.
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 factorisation of ab – a – b + 1 is(a – 1) (b – 1)
Reasons (R) –The factorisation is defined as expressing or decomposing a number or an algebraic expression as a product of its prime factors or irreducible factors.
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 factorisation ofx2 + x + xy + y + zx + z is(x + y + z) (x + y)
Reasons (R) –The factorisation is defined as expressing or decomposing a number or an algebraic expression as a product of its prime factors or irreducible factors.
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 factorisation of x2y2 + xy + xy2z + yz + x2yz + xz is(xy + yz + zx) (zx + 1)
Reasons (R) –The factorisation is defined as expressing or decomposing a number or an algebraic expression as a product of its prime factors or irreducible factors.
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:a 5:d 6:a
7:a 8:d 9:d 10:a 11:a 12:d
13:a 14:d 15:a 16:a 17:d 18:d
19:a 20:a 21:a 22:d 23:d 24:d
25:a 26:d 27:a 28:a 29:d 30:d