Simplification (Railway Maths) (51 to 100)

Total Questions: 50

31. Simplify the equation? [Group D 22/08/2022 ( Morning ) ]

Correct Answer: (b) 41/33
Solution:

32. The equivalent fraction of 4.2222......is: [Group D 22/08/2022 ( Afternoon ) ]

Correct Answer: (b) 38/9
Solution:

4.2222....
= 4 + 0.2222...
= 4 + 2/9
= 38/9

33. Simplify 234 x [8 - (6 + 2) x 3] + 4234. [Group D 22/08/2022 (Afternoon) ]

Correct Answer: (a) 490
Solution:

234 × [8 − (6 + 2) × 3] + 4234
= 234 × [8 − 24] + 4234
= 234 × (−16) + 4234
= −3744 + 4234
= 490

34. If 3⁽ˣ ⁻ ²⁾ + 3ˣ = 7290, then the value of x is: [Group D 22/08/2022 (Evening) ]

Correct Answer: (a) 8
Solution:

35. Simplify (3/2)x² + 2x − 3/2 + x²/2 − 6x + 1/2? [Group D 22/08/2022 (Evening)]

Correct Answer: (c) 2x² − 4x − 1
Solution:

36. Find the value of √(0.030625 / 0.001225)? [Group D 22/08/2022 (Evening) ]

Correct Answer: (d) 5
Solution:

37. The value of √144 + √0.0169 − √4.41 = ? [Group D 23/08/2022 (Morning)]

Correct Answer: (b) 10.03
Solution:

√144 + √0.0169 − √4.41
= 12 + 0.13 − 2.1
= 10.03

38. The value of (3⁰ + 3⁻² + 3⁻¹) × 27 = ? [Group D 23/08/2022 (Morning)]

Correct Answer: (d) 39
Solution:

(3⁰ + 3⁻² + 3⁻¹) × 27
= (1 + 1/9 + 1/3) × 27
= 13/9 × 27
= 39

39. Which of the following options is the closest approximate value which will come in place of question mark(?) in the following equation? [Group D 23/08/2022 (Morning) ]

125.99 - 35.92 + 3.89 × 16.11 =?

Correct Answer: (c) 154
Solution:

= 125.99 − 35.92 + 3.89 × 16.11
= 126 − 36 + 4 × 16
= 126 − 36 + 64
= 190 − 36
= 154

40. The value of 4² + √(8²) − 4√25 − 10 = [Group D 23/08/2022 (Afternoon)]

Correct Answer: (a) −6
Solution:

4² + √(8²) − 4√25 − 10
= 16 + 8 − 4 × 5 − 10
= 16 + 8 − 20 − 10
= −6