Simplification (Railway Maths) (701 to 750)

Total Questions: 50

41. Which of the following is the perfect square? [RPF Constable 18/01/2019 (Evening) ]

Correct Answer: (c) 5776
Solution:

Clearly , 5776 is a perfect square of 76.

42. Find the Value of 𝑥 : [RPF Constable 19/01/2019 (Morning) ]

(x³) ÷ 14 = 1568

Correct Answer: (a) 28
Solution:

43. Solve: 1/8 + 3/4 - 5/8 = ? [RPF Constable 19/01/2019 (Morning) ]

Correct Answer: (d) 0.25
Solution:

1/8 + 3/4 − 5/8
= 1/8 + 6/8 − 5/8
= (1 + 6 − 5) / 8 ⇒ 1/4 = 0.25

44. Solve: 79 - [23 - {84 ÷ 7 - (16 - 16 ÷ 4) ÷ 4}] [RPF Constable 19/01/2019 (Morning) ]

Correct Answer: (d) 65
Solution:

79 − [23 − {84 ÷ 7 − (16 − 16 ÷ 4) ÷ 4}]
= 79 − [23 − {12 − (16 − 4) ÷ 4}]
= 79 − [23 − {12 − 12 ÷ 4}]
= 79 − [23 − {12 − 3}]
= 79 − [23 − 9]
= 79 − 14 = 65

45. Simplify: ((4⁴)² × 1/64²)² + 10 = ? [RPF S.I. 19/12/2018 (Morning) ]

Correct Answer: (d) 266
Solution:

46. Simplify: √16.81 + √67.24 ÷ 2 = ? [RPF S.I. 19/12/2018 (Evening) ]

Correct Answer: (c) 8.2
Solution:

√16.81 + √67.24 ÷ 2
⇒ 4.1 + 8.2 ÷ 2 ⇒ 4.1 + 4.1 = 8.2

47. Simplify: 5 ÷ 5² + √25 - √121 = ? [RPF S.I. 19/12/2018 (Evening) ]

Correct Answer: (d) 119
Solution:

5 ÷ 5⁻² + √25 − √121
5 ÷ (1 / 5²) + 5 − 11
⇒ 5 × 5² − 6
⇒ 125 − 6 = 119

48. Simplify: [RPF S.I. 19/12/2018 (Evening) ]

1/10 ÷ 1/10 ÷ 1/10 ÷ 1/10 ÷ 1/10

Correct Answer: (b) 1000
Solution:

1/10 ÷ 1/10 ÷ 1/10 ÷ 1/10 ÷ 1/10
= 1/10 × 10 × 10 × 10 × 10 ⇒ 1000

49. Simplify: [RPF S.I. 24/12/2018 (Morning) ]

Correct Answer: (d) 232
Solution:

50. Simplify: 6 ÷ 6⁻² + √36 - √144 = ? [RPF S.I. 24/12/2018 (Morning) ]

Correct Answer: (d) 210
Solution: