Algebra (SSC) (Part-12)

Total Questions: 51

31. If 9๐‘ฅยฒ โˆ’ 6๐‘ฅ + 1 = 0, then the value of 27๐‘ฅยณ + (27๐‘ฅยณ)โปยน will be: [SSC CHSL 05/08/2021 (Afternoon)]

Correct Answer: (c) 2
Solution:

32. Solve the following equation: [SSC CHSL 05/08/2021 (Afternoon)]

Correct Answer: (c) 7/2
Solution:

33. If a + b = 24 and aยฒ + bยฒ = 306, where a > b, then the value of 4a - 5b is: [SSC CHSL 05/08/2021 (Evening)]

Correct Answer: (d) 15
Solution:

34. If a + b - c = 0, then what is the value of: [SSC CHSL 06/08/2021 (Morning)]

Correct Answer: (b) -3/4
Solution:

35. Simplify the following expression: [SSC CHSL 06/08/2021 (Morning)]

(2๐‘Ž - ๐‘ - 3๐‘)(4๐‘Žยฒ + ๐‘ยฒ + 9๐‘ยฒ + 2๐‘Ž๐‘ + 6๐‘Ž๐‘ - 3๐‘๐‘)

Correct Answer: (c) 8๐‘Žยณ โˆ’ ๐‘ยณ โˆ’ 27๐‘ยณ โˆ’ 18๐‘Ž๐‘๐‘
Solution:

36. Solve the following equation: [SSC CHSL 06/08/2021 (Afternoon)]

Correct Answer: (c) ยฑ4
Solution:

37. If (3x + 2y)ยณ + (3x - 2y)ยณ = 3kx(3xยฒ + 4yยฒ), then the value of k will be: [SSC CHSL 09/08/2021 (Morning)]

Correct Answer: (d) 6
Solution:

38. If ๐‘ฅ + ๐‘ฆ = 27 ๐‘Ž๐‘›๐‘‘ ๐‘ฅยฒ + ๐‘ฆยฒ = 425 then the value of (๐‘ฅ - ๐‘ฆยฒ) will be : [SSC CHSL 09/08/2021 (Afternoon)]

Correct Answer: (c) 121
Solution:

39. Solve the following equation: [SSC CHSL 10/08/2021 (Morning)]

Correct Answer: (a) 237.6
Solution:

40. If 2x + 3y + 4z = 11, 8xยณ + 27yยณ + 64zยณ = 105, and xyz = 1, then the value of 4xยฒ + 9yยฒ + 16zยฒ - 6xy - 12yz - 8xz is: [SSC CHSL 10/08/2021 (Afternoon)]

Correct Answer: (a) 3
Solution: