Algebra (SSC) (Part-10)

Total Questions: 50

31. Solve the following equation: [SSC CHSL 03/06/2022 (Morning)]

Correct Answer: (d) 2
Solution:

32. If a + b + c = 0 , then find the value of 𝑎² + 𝑏² + 𝑐²/𝑎² - 𝑏𝑐. [SSC CHSL 03/06/2022 (Afternoon)]

Correct Answer: (c) 2
Solution:

33. If a - b = 3 and 𝑎³ - 𝑏³ = 999 , then find the value of 𝑎² - 𝑏². [SSC CHSL 03/06/2022 (Afternoon)]

Correct Answer: (d) 63
Solution:

34. If (𝑎 − 1)² +(𝑏 + 2)² + (𝑐 − 1)² = 0, then the value of 𝑎² + 𝑏² + 𝑐². [SSC CHSL 06/06/2022 (Morning)]

Correct Answer: (a) 6
Solution:

35. 16𝑎² + 4𝑏² + 9𝑐² - 16ab + 12bc - 24ca = ? [SSC CHSL 06/06/2022 (Afternoon)]

Correct Answer: (b) (4𝑎 - 2𝑏² - 3𝑐)²
Solution:

36. If p = 38, then the value of p(𝑝² + 3p + 3) is ______ . [SSC CHSL 06/06/2022 (Evening)]

Correct Answer: (d) 59318
Solution:

37. If a + b = √7 and a - b = √5 , then the value of 8ab (𝑎² + 𝑏²) - (𝑎 - 𝑏)². [SSC CHSL 07/06/2022 (Morning)]

Correct Answer: (a) 19
Solution:

38. If P(x) = (𝑥³ - 8) (𝑥 + 1) and Q(x) = (𝑥³+ 1) (𝑥 - 2) the LCM of P(x) and Q(x) is: [SSC CHSL 07/06/2022 (Afternoon)]

Correct Answer: (b) (𝑥 + 1)(𝑥 − 2)(𝑥² + 2𝑥 + 4) (𝑥² − 𝑥 + 1)
Solution:

39. If 𝑥 + y + z = 0, then find the value of: [SSC CHSL 07/06/2022 (Evening)]

Correct Answer: (a) 2
Solution:

40. If 𝑥 = √10 + √11, y = √10 − √11, then the value of 7𝑥² - 50𝑥y + 7y² _______ . [SSC CHSL 08/06/2022 (Morning)]

Correct Answer: (a) 344
Solution: