Algebra (SSC) (Part-5)

Total Questions: 50

31. Solve the following equation: [SSC CHSL 17/08/2023 (4th Shift)]

Correct Answer: (d) 1
Solution:

32. Solve the following equation: [SSC CGL 14/07/2023 (1st shift)]

Correct Answer: (c) 120/7
Solution:

33. What is the value of (3𝓍³ + 5𝓍²y + 12𝓍y² + 7y³), when x = -4 and y = -1? [SSC CGL 14/07/2023 (1st shift)]

Correct Answer: (d) -327
Solution:

34. If (a + b + c) = 16, and (a² + b² + c²) = 90, find the value of (ab + bc + ca). [SSC CGL 14/07/2023 (1st shift)]

Correct Answer: (b) 83
Solution:

35. What is the value of a³ + b³ + c³ , if (a + b + c) = 0 ? [SSC CGL 14/07/2023 (2nd shift)]

Correct Answer: (c) 3abc
Solution:

36. Solve the following equation: [SSC CGL 14/07/2023 (3rd shift)]

Correct Answer: (b) 103682
Solution:

37. If a = 17, b = 13, then find the value of the expression (a³ - b³ - 3a²b + 3ab²). [SSC CGL 14/07/2023 (4th shift)]

Correct Answer: (d) 64
Solution:

38. Simplify, (𝓍⁴ - 2𝓍² + 1)/(𝓍² - 2𝓍² + 1). [SSC CGL 17/07/2023 (2nd shift)]

Correct Answer: (c) 𝓍² + 2𝓍 + 1
Solution:

39. Solve the following equation: [SSC CGL 17/07/2023 (2nd shift)]

Correct Answer: (b) 992√15
Solution:

40. What is the value of the given expression?(a + b + c)² - a² - b² - c² [SSC CGL 17/07/2023 (3rd shift)]

Correct Answer: (b) 2(ab + bc + ca)
Solution: