Algebraic Identities: Cubic Type

1. There will be total 30 MCQ in this test.
2. Please keep a pen and paper ready for rough work but keep your books away.
3. The test will consist of only objective type multiple choice questions requiring students to mouse-click their correct choice of the options against the related question number.
4. No negative marking for incorrect choice.
5. Please click on “Finish the Test” when you want to exit.
6. All the best – Happy Studying

1. Evaluate : (101)³

1030001

1030301

1003301

1000301

Question 1 of 20

2. Evaluate (11)³

1313

1331

3131

3113

Question 2 of 20

3. Factorise:(3x- 5y)³+ (5y - 2z)³ + (2z - 3x)³

3(3x + 5y) (5y + 2z) (2z + 3x)

2(3x + 5y) (5y + 2z) (2z + 3x)

3(3x- 5y) (5y - 2z) (2z - 3x)

2(3x - 5y) (5y - 2z) (2z - 3x)

Question 3 of 20

4. Evaluate: 5³ - 2³ - 3³

90

60

120

- 90

Question 4 of 20

5. Factorise : 8a³+ b³ + 12a²b + 6a b²

(2a + b) (2a + b) (2a + b)

(2a - b) (2a - b) (2a + b)

(2a-b)(2a-b)(2a-b)

(-2a + b) (-2a + b) (2a + b)

Question 5 of 20

6. Evaluate

A

B

C

D

Question 6 of 20

7. Factorise : 8a³ + b³ + 12a² b + 6ab²

(2a + b) (2a + b) (2a + b)

(2a - b) (2a - b) (2a + b)

(a+b)(2a+2b)(a+2b)

(-2a + b) (-2a + b) (2a + b)

Question 7 of 20

8. p³+ q³ + r³ – 3pqr = ?

(p + q +r)³

(p - q - r)³

(p + q + r)(p² + q² + r² – pq – qr - pr)

3pqr

Question 8 of 20

9. Factorize: 125a³ – 27b³ – 225a²b + 135ab².

(3a – 5b) (5a – 3b) (3a + 5b)²

(3a – 5b) (3a – 5b) (3a – 5b)

(5a – 3b) (5a – 3b) (5a – 3b)

(5a + 3b) (5a – 3b) (5a + 9b)

Question 9 of 20

10. Evaluate

1142864

1124864

1124844

1142846

Question 10 of 20

11. Factorize: (x - y)³ + (y - z)³ + (z - x)³

(2x - y) (y – z) ( z – x)

3(x – y) (y – z) (z – x)

(x – y) (2y – 3z) (z – x)

(2x – 3y) (5x + 3y) (6x – 7y)

Question 11 of 20

12. Factorise: x⁷y + xy⁷

A

B

C

D

Question 12 of 20

13. What is the value 8³ - 3³ (without solving the cubes)?

485

845

458

854

Question 13 of 20

14. p³+ q³ = ?

(p + q)³

(p + q)(p² + q² + p q)

(p + q)(p² + q² – p q)

p³ + q³ + 3pq

Question 14 of 20

15. What is the value of 5³ - 1³(without solving cube)?

126

142

124

104

Question 15 of 20

16. Factorize: 27x³ – 125y³

(3x – 5y) (9x² + 25y² + 56xy)

(3x – 5y) (9x² + 125y² + 10xy)

(3x – 5y) (9x² + 25y² + 15xy)

(7x – 5y) (7x² + 25y² – 5xy)

Question 16 of 20

17. a³ - b³ equals

(a + b)(a² - b² - ab)

(a + b)(a² + b² + a b)

(a – b)(a² + b² + a b)

(a- b)³ 3ab

Question 17 of 20

18. Evaluate: 30³ + 20³ – 50³.

90000

36000

15000

-90000

Question 18 of 20

19. If , the value of x³ - y³ is:

1

1/2

0

-1

Question 19 of 20

20. If = 0, then which one of the following expression is correct:

A

B

C

D

Question 20 of 20

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