Algebra (Railway Maths) (Part – II)

Total Questions: 50

1. If 16x² - 8x + 1 = 0, then find the value of (16x² + 1/4x²). [Group D 23/08/2022 (Evening) ]

Correct Answer: (c) 5
Solution:

2. Find the roots of 3a²x² + 8abx + 4b²=0 [Group D 24/08/2022 (Morning) ]

Correct Answer: (c)
Solution:

3. If 1 + √3 and 1 - √3 are the roots of a quadratic equation, find the quadratic equation. [Group D 24/08/2022 (Afternoon) ]

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

4. The coefficient of x⁴y³ in the expansion of (3x − 2y)² (x² + y³)² is: [Group D 24/08/2022 (Evening)]

Correct Answer: (b) 18
Solution:

5. If one root of the equation (a + 3)x² − 13ax + 7 − a = 0 is the reciprocal of the other, then the value of a is: [Group D 24/08/2022 (Evening)]

Correct Answer: (a) 2
Solution:

6. For what values of z will the following equation have equal roots? (z + 4)x² + (z + 1)x + 1 = 0 [Group D 24/08/2022 (Evening)]

Correct Answer: (c) 5, −3
Solution:

7. Simplify: a² + 9b² + c² - 6ab + 6bc - 2ac = [Group D 25/08/2022 (Morning)]

Correct Answer: (c) (a − 3b − c)²
Solution:

8. If one root of a quadratic equation, α is half of the other root of the same equation, then find the quadratic equation. [Group D 25/08/2022 (Morning) ]

Correct Answer: (c) x² - 3αx + 2α² = 0
Solution:

9. Which of the following is the quadratic equation whose roots are −2 and 4? [Group D 25/08/2022 (Afternoon)]

Correct Answer: (c) 3x² − 6x − 24 = 0
Solution:

10. If a and b are the roots of x² − x − 12 = 0, and a > b, then the quadratic equation whose roots are (2a − 1) and (2b + 1) is: [Group D 25/08/2022 (Afternoon)]

Correct Answer: (d) x² − 2x − 35 = 0
Solution: