Algebra (SSC) (Part-9)

Total Questions: 50

31. Factorize the given algebraic expression. x³ + 27y³ + 64z³ - 36xyz [Graduate Level 02/08/2022 (Shift - 3)]

Correct Answer: (b) (x + 3y + 4z)(x² + 9y² + 16z² - 3xy - 12yz - 4xz)
Solution:

32. Simplify (5x + 4y)² + (5x - 4y)² [Graduate Level 03/08/2022 (Shift - 3)]

Correct Answer: (b) 50x² + 32y²
Solution:

33. What must be subtracted from 𝓍³ - 3𝓍²y + 3xy² - y³ to get 𝓍³ - y³ ? [Graduate Level 04/08/2022 (Shift - 2)]

Correct Answer: (a) -3𝓍²y + 3xy²
Solution:

34. If a - b = 10 and ab = 4, then the value of a³ - b³ + 4(a+ b)² is: [Graduate Level 04/08/2022 (Shift - 2)]

Correct Answer: (b) 1584
Solution:

35. Find the value of a² + b² + c² - 2ab + 2ac - 2bc, if a = x + y, b = x - y and c = 2x - 1. [Graduate Level 04/08/2022 (Shift - 4)]

Correct Answer: (c) (2x + 2y - 1)²
Solution:

36. Solve the following equation: [Graduate Level 05/08/2022 (Shift - 3)]

Correct Answer: (a) 18
Solution:

37. Solve the following equation: [Graduate Level 05/08/2022 (Shift - 3)]


Correct Answer: (b)
Solution:

38. Solve the following equation: [Higher Secondary 01/08/2022 (Shift - 3)]

Correct Answer: (a) 15
Solution:

39. Solve the following equation: [Higher Secondary 03/08/2022 (Shift - 4)]

Correct Answer: (c) 17
Solution:

40. Solve the following equation: [Higher Secondary 04/08/2022 (Shift - 3)]

Correct Answer: (c) 321
Solution: