Algebra (Railway Maths) (Part – III)

Total Questions: 50

21. If x⁴ + 1/x⁴ = 27, then what is the value of x² + 1/x²? [Group D 08/09/2022 (Evening) ]

Correct Answer: (b) √29
Solution:

22. Which of the following statements is true about the nature of roots for the equation 2x² + 9x + 15 = 0? [Group D 09/09/2022 (Morning) ]

Correct Answer: (a) Both roots are imaginary or non-real
Solution:

23. Solutions for the equation 11a² + 18a + 7 = 0 are: [Group D 09/09/2022 (Morning) ]

Correct Answer: (d) -1, -7/11
Solution:

24. If p + q + r = 13 and pq + qr + rp = 30, then the value of p³ + q³ + r³ − 3pqr is: [Group D 09/09/2022 (Afternoon) ]

Correct Answer: (b) 1027
Solution:

25. The quadratic equation with real coefficients which has real roots 4 and -5 is: [Group D 09/09/2022 (Afternoon) ]

Correct Answer: (b) x² + x - 20 = 0
Solution:

26. Simplify (4x - 5y)² + (5x + 4y)² + (4x + 5y)(4x − 5y). [Group D 09/09/2022 (Afternoon) ]

Correct Answer: (a) 57x² + 16y²
Solution:

27. Which of the following statements is true about the nature of roots for the equation x(x + 3) - 8 = 2(x + 3) (x − 3)? [Group D 09/09/2022 (Afternoon) ]

Correct Answer: (c) Two real and distinct roots
Solution:

28. The quadratic equation whose roots are 2 and -1/2 is: [Group D 09/09/2022 (Evening) ]

Correct Answer: (d) 2x² - 3x - 2 = 0
Solution:

29. If (a + b) = 11 and (a - b) = 3 then, the value of (a² + b²) is: [Group D 09/09/2022 (Evening) ]

Correct Answer: (a) 65
Solution:

30. Roots of the equation x² = 24 - 10x are: [Group D 12/09/2022 (Morning) ]

Correct Answer: (a) 2 , - 12
Solution: