MCQ Questions for Class 8 Maths Chapter 14 Factorisation with Answers

1. The common factor of x²y² and x³y³ is

x²y²

x³y³

x²y³

x³y²

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Question 1 of 25

2. The common factor of x³y² and x⁴y is

(A) x⁴³y²(B) x⁴y
(C) x³y²(D) x³y

Option A

Option B

Option C

Option D

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Question 2 of 25

3. The common factor of a² m⁴ and a⁴m² is

(A) a⁴m⁴(B) a²m²(C) a²m⁴(D) a⁴m²

Option A

Option B

Option C

Option D

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Question 3 of 25

4. The common factor of p3q4 and p4q3 is

(A) p⁴q⁴(B) p⁴q³(C) p³q³(D) p³q⁴

Option A

Option B

Option C

Option D

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Question 4 of 25

5. The common factor 12y and 30 is

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Question 5 of 25

6. The common factor of 2x, 3x³, 4 is

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Question 6 of 25

7. The common factor of 10ab, 30bc, 50ca is

abc

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Question 7 of 25

8. The common factor of 14a²b and 35a⁴b² is

(A) a⁴b²
(B) 35a⁴b²
(C) 14a²b
(D) 7a²b

Option A

Option B

Option C

Option D

Your comments:

Question 8 of 25

9. The common factor of 8a²b⁴c², 12a⁴bc⁴ and 20a³b⁴ is

(A) a⁴b⁴(B) a²b²(C) 4a²b²(D) 4a²b.

Option A

Option B

Option C

Option D

Your comments:

Question 9 of 25

10. The common factor of 6a³b⁴c², 21a²b and 15a³ is

(A) 3a²(B) 3a³(C) 6a³(D) 6a²

Option A

Option B

Option C

Option D

Your comments:

Question 10 of 25

11. The common factor of 2a²b⁴c², 8a⁴b³c⁴ and 6a³b⁴c² is

(A) 2a²b³c²(B) 6a²b³c²(C) 8a²b³c²(D) a⁴b⁴c⁴.

Option A

Option B

Option C

Option D

Your comments:

Question 11 of 25

12. The common factor of 3a²b⁴c², 12b²c⁴ and 15a³b⁴c⁴ is

(A) b⁴c⁴(B) 3b²c²(C) 15b²c⁴(D) 12b²c⁴

Option A

Option B

Option C

Option D

Your comments:

Question 12 of 25

13. The common factor of 24x³y⁴, 36x⁴z⁴ and 48x³y²z is

(A) 12x³(B) 24x³(C) 36x³(D)48x³

Option A

Option B

Option C

Option D

Your comments:

Question 13 of 25

14. The common factor of 72x³y⁴z⁴, 120z²d⁴x⁴ and 96y³z⁴d⁴ is

(A) 96z³(B) 120z³(C) 72z³(D) 24z²

Option A

Option B

Option C

Option D

Your comments:

Question 14 of 25

15. The common factor of 36p²q³x⁴, 48pq³x² and 54p³q³x⁴ is

(A) 6pq³x²(B) 36pq³x²(C) 54pq³x²(D) 48pq³x²

Option A

Option B

Option C

Option D

Your comments:

Question 15 of 25

16. The factorisation of 12a²b + 15ab² is

(A) 3ab (4a + 5b)
(B) 3a²b (4a + 5b)
(C) 3ab² (4a + 5b)
(D) 3a²b² (4a + 5b)

Option A

Option B

Option C

Option D

Your comments:

Question 16 of 25

17. The factorisation of 10x² – 18x³ + 14x⁴ is

(A) 2x² (7x² – 9x + 5)
(B) 2x (7x² – 9x + 5)
(C) 2 (7x² – 9x + 5)
(D) 2x³ (7x² – 9x + 5)

Option A

Option B

Option C

Option D

Your comments:

Question 17 of 25

18. The factorisation of 6x – 42 is

6(x – 7)

3(x – 7)

2(x – 7)

6(x + 7)

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Question 18 of 25

19. The factorisation of 6x + 12y is

6(x + 2y)

3(x + 4y)

2(3x + 12y)

none of these

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Question 19 of 25

20. The factorisation of 28a³b⁵ – 42a⁵b³ is

(A) 14a³b³(2b² – 3a²)
(B) 14a²b³(2b² – 3a²)
(C) 14a³b²(2b² – 3a²)
(D) none of these.

Option A

Option B

Option C

Option D

Your comments:

Question 20 of 25

21. The factorisation of a³ + a²b + ab² is

(A) a(a² + ab + b²)
(B) 6(a² + ab + b²)
(C) ab(a² + ab + b²)
(D) none of these.

Option A

Option B

Option C

Option B

Your comments:

Question 21 of 25

22. The factorisation of x²yz + xy²z + xyz² is

(A) xyz(x + y + z)
(B) x²yz(x + y + z)
(C) xy²z(x + y + z)
(D) xyz²(x + y + z)

Option A

Option B

Option C

Option D

Your comments:

Question 22 of 25

23. The factorisation of ax²y + bxy² + cxyz is

xy(ax + by + cz)

axy(ax + by + cz)

bxy(ax + by + cz)

cxy(ax + by + cz)

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Question 23 of 25

24. The factorisation of
a (x + y + z) + b(x + y + z) + c(x + y + z) is

(a + b + c)(x + y + z)

(ab + bc + ca)(x + y + z)

(xy + yz + zx)(a + b + c)

none of these

Your comments:

Question 24 of 25

25. The factorisation of 6xy – 4y + 6 – 9x is

(3x – 2)(2y – 3)

(3x + 2)(2y – 3)

(3x – 2)(2y + 3)

(3x + 2)(2y + 3)

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Question 25 of 25