MCQ Questions for Class 8 Maths Chapter 14 Factorisation with Answers

 

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Factorisation: MCQ Questions for Class 8 Maths Chapter 14 Factorisation with Answers

 

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 Board                    CBSE


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TextBook                NCERT


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CLASS                    Class 8


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SUBJECT                 Maths


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CHAPTER               Chapter 14


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SUBJECT     Factorisation MCQ                      


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Visit               NCERT Solutions 

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Visit: Multiple Choice Questions for Class 8 Maths

 

Question 1. Factorise: 16x² + 64xy + 64y²

(i)    (4x + 5y) ²

(ii)  (5x + 8y) ²

(iii)   (4x + 8y) ²

(iv)  (6x + 4y) ²


Answer: (iii) (4x + 8y)²



Question 2. Factorise: 8ab - 6b + 12a - 9

(i)    (4a - 3) (2b + 3) 

(ii)  (4a + 3) (2b - 3) 

(iii)   (2a + 3) (4b - 3) 

(iv)  (2a - 3) (4b + 3)


Answer: (i)    (4a - 3) (2b + 3) 



Question 3. Write the product when we multiplied 5x²y³z5 by 7y⁴x³z²

(i)    35x5y6z7

(ii)  35x6y7z7

(iii)   35x7y6z7

(iv)  35x5y7z7


Answer: (iv)  35x5y7z7



Question 4. Factorise: a² + 14a + 33

(i)    (a + 2) (a + 7) 

(ii)  (a + 3) (a + 11) 

(iii)   (a - 2) (a - 7) 

(iv)  none of the above


Answer: (ii)  (a + 3) (a + 11)



Question 5. Factorise: 6a³b + 4a²b³ + 3ab + 3b³

(i)    (2a²b + 3b)(3a + 2b²) 

(ii)  (2ab + 3b²) (3a + 2b²) 

(iii)   (2a²b + 3b) (3a + 2b²) 

(iv)  (2a²b + 3b)(3a² + 2b²) 


Answer: (i)    (2a²b + 3b)(3a + 2b²)



Question 6. Write the common factor of 27x²yz⁴ and 18z³y²x⁴

(i)    x²yz³

(ii)  27x²yz³

(iii)   18x²yz³

(iv)  9x²yz³


Answer: (iv)  9x²yz³



Question 7. Write the product of (x + 2) (x² + x + 5) 

(i)    x³ + 5x² + 7x + 5

(ii)  x³ + 3x² + 7x + 10

(iii)   x³ + 3x² + 6x + 10

(iv)  none of the above


Answer: (ii)  x³ + 3x² + 7x + 10



Question 8. a² + 4a - 21 = 

(i)    (a - 7) (a + 3) 

(ii)  (a + 7)(a - 3) 

(iii)   (a - 7) (a - 3) 

(iv)  (a + 7) (a + 3) 


Answer: (ii)  (a + 7)(a - 3)



Question 9. Number of factors of (x5 - x) 

(i)    one

(ii)  two

(iii)   three

(iv)  four


Answer: (iv)  four



Question 10. The result of division of (3x³ - 3x) by 3x will be 

(i)    (x + 1) 

(ii)  (x - 1) 

(iii)   (3x³

(iv)  (x +1) (x - 1) 


Answer: (iv)  (x +1) (x - 1) 



Question 11. The factors of 3x² - 3y + 2x² - 2 are

(i)    x², (3y +2) 

(ii)  (x + 1) (3y + 2) 

(iii)   (x + 1), (x - 1), (3y + 2) 

(iv)  none of the above


Answer: (iii)   (x + 1), (x - 1), (3y + 2)



Question 12. When we divide x² + 5x + 6 by (x +3) (x +2), the result is

(i)    (x +3) 

(ii)  (x +2) 

(iii)   (x + 2) (x + 3) 

(iv)  none of the above


Answer: (iii)   (x + 2) (x + 3)



Question 13. Choose the correct option:

   15x² - 16xy - 15y²

(i)    (3x - 5y) (5x + 3y) 

(ii)  (3x - 5y) (5x + 3y)

(iii)   (5x + 3y) (x + 3y) 

(iv)  none of the above


Answer: (i)    (3x - 5y) (5x + 3y)

 


MCQ Questions for Class 8 Maths Chapter 14 Factorisation with Answers

Question 14. (x8 - 1) =

(i)   (x⁴ + 1) (x⁴ - 1) 

(ii)  (x⁴ + 1) (x² + 1) (x² - 1) 

(iii)  (x⁴ + 1) (x² + 1)(x + 1) (x + 1) 

(iv)  none of the above


Answer: (iii)  (x⁴ + 1) (x² + 1)(x + 1) (x + 1)



Question 15. 3 + 23b - 8y² = 

(i)    (1 - 8b)(3 + b) 

(ii)   (1 + 8b) (3 - b) 

(iii)   (1 - 8b)( b - 3) 

(iv)  (8b - 1) (b + 3) 


Answer: (ii)   (1 + 8b) (3 - b)



Question 16. The factors of 5m² + 15m + 10  are:

(i)    (m + 1) (m + 2)

(ii)  6(m + 1) (m + 2)

(iii)   5(m + 1) (m + 2)

(iv)  9(m + 1) (m + 2)


Answer: (iii)   5(m + 1) (m + 2)



Question 17. When we factorise x2 - 5x + 6, then we get:

(i)    (x + 2) (x + 3)

(ii)  (x – 2) (x – 3)

(iii)   (x × 2) + (x × 3)

(iv)  none of the above


Answer: (ii)  (x – 2) (x – 3)



Question 18. The factorisation  of a² - 196 is

(i)    (a + 16) ²

(ii)  (a - 14) ²

(iii)   (a + 14) (a - 14) 

(iv)  none of the above. 


Answer: (iii)   (a + 14) (a - 14) 



Question 19. The factorisation of 36m² - 49n² is

(i)   ( 6m + 7n)(6m - 7n) 

(ii)  (6m + 7n ) ²

(iii)   (6m - 7n )²

(iv)  none of the above


Answer: (i)   ( 6m + 7n)(6m - 7n)



Question 20. The factorisation of a² ab - 12ab =

(i)    (a + 4b )(a - 3b) 

(ii)  (a + 4b)(a + 3b) 

(iii)   (a - 4b) (a - 3b) 

(iv)  none of the above


Answer: (i)    (a + 4b )(a - 3b)



Question 21. 2x² + 6x + xy + 3y =

(i)    (2x + y) (x - 3) 

(ii)  (2x - y) (x + 3)

(iii)   (2x - y) (x - 3)

(iv)  (2x + y) (x + 3)


Answer: (iv)  (2x + y) (x + 3)


Question 22. On factorising 54a² +72a + 42ab + 56b, we get

(i) (9a - 7b)(6a + 8)

(ii) (9a + 7b)(6a + 8) 

(iii) (9a + 7b)(6a - 8)

(iv) (9a - 7b)(6a - 8)


Answer: (ii) (9a + 7b)(6a + 8)



Question 23.  factorising 18ab²c - 6bc, we get

(i) 18abc(b + 1) 

(ii) 6abc(b + c) 

(iii) 6bc(3ab + 1) 

(iv) 6ac(3bc + 1) 


Answer: (iii) 6bc(3ab + 1)



Question 24. The common between the terms 12x²yz and 15xyz is 

(i) 12 xyz

(ii) 15xyz

(iii) 3xyz

(iv) none of the above


Answer: (iii) 3xyz



Question 25. The quotient of 28m² ÷ 14m is

(i) 2m

(ii) 2m²

(iii) 2

(iv) 4m


Answer: 2m


MCQ Questions for Class 8 Maths Chapter 14 Factorisation with Answers

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