Algebra (SSC) (Part-3)

Total Questions: 50

21. Find the remainder, when we divide 2x³ - 3x² + 6x - 4 by 2x - 3. [SSC CHSL 04/07/2024 (3rd Shift)]

Correct Answer: (c) 5
Solution:

22. Solve the following equation. [SSC CHSL 10/07/2024 (2nd Shift)]

Correct Answer: (d) A and D are equal.
Solution:


23. Solve the following equation. [SSC CHSL 10/07/2024 (2nd Shift)]

Correct Answer: (c) 5
Solution:


24. If 640 ÷ 8 + 930 ÷ 15 – k + 32 × 5 = 1104 ÷ 16 × 148 ÷ 37, then the value of k is: [SSC CHSL 11/07/2024 (3rd Shift)]

Correct Answer: (b) 26
Solution:

25. For what value of k (k > 0) will the lines 5x + ky − 2 = 0 and (k + 1)x + 4y + 7 = 0 be parallel ? [SSC CHSL 10/07/2024 (4th Shift)]

Correct Answer: (d) 4
Solution:

26. Solve the following equation. [SSC CHSL 11/07/2024 (4th Shift)]

Correct Answer: (b) 313
Solution:

27. If the sum of two numbers x and y is 12 and their product is 27, then find the sum of their cubes. [SSC CPO 27/06/2024 (1st Shift)]

Correct Answer: (d) 756
Solution:

28. The sum of two numbers 𝓍 and y (where 𝓍 is greater than y) is equal to four times of their difference. Find the value of (5𝓍y)/3𝓍² - y²) [SSC CPO 27/06/2024 (1st Shift)]

Correct Answer: (a)
Solution:

29. If 𝓍 + y + z= 1, 𝓍y + yz + z𝓍 = -1 and 𝓍yz = -1, then (𝓍³ + y³ + z³) is equal to _________. [SSC CPO 27/06/2024 (1st Shift)]

Correct Answer: (b) 1
Solution:


30. Solve the following equation. [SSC CPO 27/06/2024 (2nd Shift)]

Correct Answer: (c) 2
Solution: