Simplification (Railway Maths) (01 to 50)

Total Questions: 50

1. Find the answer of given question? [Group D 17/08/2022 ( Afternoon ) ]

Correct Answer: (a) 14/33
Solution:

2. Find the answer of given equation? [Group D 17/08/2022 ( Evening ) ]

Correct Answer: (a) 17/90
Solution:

3. The value of 5³ × 5⁴ × 5² = ? [Group D 18/08/2022 (Morning)]

Correct Answer: (a) 5⁹
Solution:

4. Simplify (1/3)⁻³ + (1/5)⁻⁴ + (1/15)⁻². [Group D 18/08/2022 (Evening)]

Correct Answer: (a) 877
Solution:

5. Which of the following options is the closest approximate value which will come in place of question mark (?) in the following equation? [Group D 22/08/2022 (Morning)]

(√360 + 12 ÷ 6 × 3 − √170) ÷ 2 = ?

Correct Answer: (b) 6
Solution:

6. Simplify: [Group D 22/08/2022 (Morning)]

3x (x − 6) + x² + 6x − 9 + 24 − x³

Correct Answer: (c) 15 − 12x + 4x² − x³
Solution:

3x (x − 6) + x² + 6x − 9 + 24 − x³
⇒ 3x² − 18x + x² + 6x − 9 + 24 − x³
⇒ 15 − 12x + 4x² − x³

7. Find the answer of given equation? [Group D 22/08/2022 ( Morning ) ]

Correct Answer: (a)
Solution:

8. If 2³ᵏ ⁻ ⁵ = 4096, then find the value of k. [Group D 23/08/2022 ( Evening ) ]

Correct Answer: (d) 17/3
Solution:

2³ᵏ ⁻ ⁵ = 4096
⇒ 2³ᵏ ⁻ ⁵ = 2¹² ⇒ 3k − 5 = 12
⇒ 3k = 12 + 5 ⇒ 3k = 17 ⇒ k = 17/3

9. Simplify the equation? [Group D 24/08/2022 ( Morning ) ]

Correct Answer: (d) 6.96
Solution:

10. Simplify:

(x² + m² − z²)² − (x² − m² + z²)² = ?

Correct Answer: (b) 4x² (m² − z²)
Solution: