Simplification (Railway Maths) (51 to 100)

Total Questions: 50

21. If 2ˣ × 4¹² × 8³ = 16¹¹, then the value of x is: [Group D 17/08/2022 (Evening)]

Correct Answer: (c) 11
Solution:

22. If x/y = 3/2, then find (x² + y²) / (x² − y²)? [Group D 17/08/2022 (Evening)]

Correct Answer: (c) 13/5
Solution:

x / y = 3 / 2 , (x² + y²) / (x² − y²)
= (9 + 4) / (9 − 4)
= 13 / 5

23. 2.666... + 2.77... in fraction form is: [Group D 18/08/2022 (Morning)]

Correct Answer: (c) 49/9
Solution:

2.666... + 2.77...
= 2 + 6/9 + 2 + 7/9
= 4 13/9
= 49/9

24. The fraction equivalent to 0.474747... is: [Group D 18/08/2022 (Afternoon)]

Correct Answer: (d) 47/99
Solution:

0.474747... = 47/99

25. If 10% of 24% of x is 240, then x = ? [Group D 18/08/2022 (Afternoon)]

Correct Answer: (b) 10000
Solution:

10/100 × 24/100 × x = 240
x = (240 × 100 × 100) / (10 × 24)
x = 10000

26. Which of the following options is the closest approximate value which will come in place of question mark (?) in the following equation? [Group D 18/08/2022 (Afternoon)]

26.52 × 3.89 − 7.79 × 2 + 27.39 = ?

Correct Answer: (c) 119
Solution:

26.52 × 3.89 − 7.79 × 2 + 27.39
= 27 × 4 − 8 × 2 + 27
= 108 − 16 + 27
= 119

27. Simplify: [Group D 18/08/2022 (Evening)]

6 (x³ − 2x² + 3x) − (x³ + 2x − 3)

Correct Answer: (b) 5x³ − 12x² + 16x + 3
Solution:

6(x³ − 2x² + 3x) − (x³ + 2x − 3)
= 6x³ − 12x² + 18x − x³ − 2x + 3
= 5x³ − 12x² + 16x + 3

28. Simplify 8² × 3³/ √64 × √81? [Group D 18/08/2022 (Evening)]

Correct Answer: (c) 24
Solution:

8² × 3³/ √64 × √81
= (8² × 3³) / (8 × 9)
= 24

29. Find the value of 325 × 5 + 31 × 21 − 22 × (63 − 52)? [Group D 18/08/2022 (Evening)]

Correct Answer: (c) 2034
Solution:

325 × 5 + 31 × 21 − 22 × (63 − 52)
= 1625 + 651 − 22 × 11
= 1625 + 651 − 242
= 2034

30. Simplify 6² + 7² + √16? [Group D 22/08/2022 (Morning)]

Correct Answer: (a) 89
Solution:

6² + 7² + √16 ⇒ 36 + 49 + 4 = 89