Algebra (Railway Maths) (Part – III)

Total Questions: 50

1. If 4ˣ − 4ˣ⁻¹ = 24, then the value of 2x - 1 / 2x + 3 is: [Group D 05/09/2022 (Morning) ]

Correct Answer: (c) 1/2
Solution:

2. If (−7)²ᵏ⁺¹ (−7)⁵ = (−7)¹², then k is: [Group D 05/09/2022 (Afternoon)]

Correct Answer: (c) 3
Solution:

3. If a and b are the roots of the equation x² + 3x − 4 = 0, then the value of 1/a + 1/b + ab is: [Group D 05/09/2022 (Afternoon)]

Correct Answer: (d) −13/4
Solution:

4. The roots of the quadratic equation x² - 4x + 3 = 0 are: [Group D 05/09/2022 (Evening) ]

Correct Answer: (a) 1 and 3
Solution:

5. The value of [Group D 05/09/2022 (Evening) ]

Correct Answer: (c) 1
Solution:

6. The common root of the quadratic equations 2x² - 5x - 3 = 0 and x² + x - 12 = 0 is: [Group D 05/09/2022 (Evening) ]

Correct Answer: (c) 3
Solution:

7. If α and β are the roots of the equation 8x² + 22x − 21 = 0, where β > α, then find the value of (2α + 3β). [Group D 06/09/2022 (Morning)]

Correct Answer: (a) −19/4
Solution:

8. Find the roots of the quadratic equation x² − (11x)/2 + 6 = 0. [Group D 06/09/2022 (Morning)]

Correct Answer: (d) 4 and 3/2
Solution:

9. Find the answer of given question? [Group D 06/09/2022 (Morning) ]

Correct Answer: (a) x² - 6x + 8
Solution:

10. If a = 50, b = 20, then find the value of a³ + b³. [Group D 06/09/2022 (Morning) ]

Correct Answer: (c) 1,33,000
Solution: