Algebra (SSC) (Part-9)

Total Questions: 50

21. If the equation k(21x² + 24) + rx + (14x² - 9) = 0 and k(7x² + 8) + px+ (2x² – 3) = 0 have both roots common, then the value of p/r is: [SSC CPO 11/11/2022 (Evening)]

Correct Answer: (a) 1/3
Solution:

22. Solve the following equation: [SSC CGL Tier II (08/08/2022)]

Correct Answer: (c) √2 + 1
Solution:

23. Solve the following equation: [SSC CGL Tier II (08/08/2022)]

Correct Answer: (d) - 2
Solution:

24. What is the solution of the following equations? [SSC CGL Tier II (08/08/2022)]

2X + 3Y = 12 and 3X - 2Y = 5

Correct Answer: (a) X = 3, Y = 2
Solution:

25. If xy = - 6 and 𝓍 + y = 19 (x and y are integers), then what is the value of: [SSC CGL Tier II (08/08/2022)]

Correct Answer: (c) 1
Solution:

26. Solve the following equation: [Graduate Level 01/08/2022 (Shift - 4)]

Correct Answer: (c) 0
Solution:

27. If (a + b) = √11 and (a - b) = √7 then find the value of a² b² (a² + b²). [Graduate Level 01/08/2022 (Shift - 4)]

Correct Answer: (d) 9
Solution:

28. If arithmetic and geometric mean of x and y is 8 and 3√7, respectively, then the of 𝓍³ + y³ is: [Graduate Level 01/08/2022 (Shift - 4)]

Correct Answer: (a) 1072
Solution:

29. The algebraic expression 25x² + 16y² + 9z² - 40xy + 24yz - 30zx is equal to: [Graduate Level 02/08/2022 (Shift - 3)]

Correct Answer: (c) (4y + 3z - 5x)²
Solution:

30. If xy = 6 and x²y + xy² + x + y = 63, then the value of x² + y² is: [Graduate Level 02/08/2022 ( Shift - 3)]

Correct Answer: (a) 69
Solution: