Mathematical Operations – Railway Reasoning (part – 1)

Total Questions: 50

41. In the following statements, if A, B, C, D and E denote +, -, ×, ÷ and =, respectively, then which statement is correct ? [Group - D 30/08/2022 (Afternoon)]

Correct Answer: (d) 7A3C6D2E30B14
Solution:

Going through options one by one option(d) is correct.
7 + 3 × 6 ÷ 2 = 30 - 14
16 = 16

42. Which of the following interchanges of signs would make the given equation correct ? [Group - D 30/08/2022 (Evening)]

4 - 10 ÷ 8 + 3 × 2 = 6

Correct Answer: (c) ×, -
Solution:

4 - 10 ÷ 8 + 3 × 2 = 6
By checking all the options one by one we found by interchanging × and - we get our right answer
4 × 10 ÷ 8 + 3 - 2
5 + 3 - 2 = 6 = RHS(satisfied)

43. Which of the following interchanges of signs would make the given equation correct? [Group - D 01/09/2022 (Morning)]

3 - 6 ÷ 9 + 6 × 2 = 6

Correct Answer: (d) - and ×
Solution:

By Hit and trial method choosing option one by one we get,
3 × 6 ÷ 9 + 6 - 2 = 6
2 + 6 - 2 = 6 R.H.S.

44. If P denotes ‘×’, T denotes ‘-’, M denotes ‘+’ and B denotes ‘÷’, what will come in place of the question mark (?) in the following equation? [Group - D 01/09/2022 (Afternoon)]

54 B 9 P 11 T 13 M 17 = ?

Correct Answer: (b) 70
Solution:

54 B 9 P 11 T 13 M 17
After interchanging letters with mathematical operators
54 ÷ 9 × 11 - 13 + 17 = 66 + 4 = 70

45. Which of the following interchanges of numbers would make the given equation correct? [Group - D 01/09/2022 (Afternoon)]

6 × 40 ÷ 8 + 2 - 5 = 11

Correct Answer: (b) 2, 6
Solution:

6 × 40 ÷ 8 + 2 - 5 = 11
Here we have to check by options. In option b Interchange 2 and 6
2 × 40 ÷ 8 + 6 - 5 = 11

46. Which of the following interchanges of numbers would make the given equation correct? [Group - D 01/09/2022 (Evening)]

5 × 15 ÷ 5 + 22 - 18 = 25

Correct Answer: (b) 22, 25
Solution:

Interchanging the position of the number of 25 ⇔ 22
The following equation will be
5 × 15 ÷ 5 + 25 - 18 = 22
⇒ 15 + 25 - 18 = 22

47. Which two signs should be interchanged to make the following equation correct? [Group - D 02/09/2022 (Evening)]

13 + 6 ÷ 12 - 4 × 5 = 4

Correct Answer: (b) ÷ and -
Solution:

Given : 13 + 6 ÷ 12 - 4 × 5 = 4
By interchanging ÷ and - we get ,
13 + 6 - 12 ÷ 4 × 5 = 4 (RHS)

48. If L denotes ÷, M denotes ×, P denotes + and Q denotes -, then which of the following statements is true out of the options given below? [Group - D 05/09/2022 ( Morning )]

Correct Answer: (d) 11 L 34 M 17 P 8 Q 3 = 42/4
Solution:

The letters of all the alternatives are replaced by mathematical symbols respectively, then the statement of option D is true

49. If '-' means '÷', '+' means '×', '÷' stands for '-' and '×' means '+', then which of the following equations is correct ? [Group - D 05/09/2022 (Morning)]

Correct Answer: (b) 20 - 3 + 9 × 5 ÷ 2 = 63
Solution:

20 - 3 + 9 × 5 ÷ 2 = 63
After changing the mathematical sign
20 ÷ 3 × 9 + 5 - 2
20/3 × 9 + 5 - 2 ⇒ 20 × 3 + 5 - 2
⇒ 60 + 5 - 2 ⇒ 65 - 2 = 63 (satisfied)

50. If @means 'multiplication', % means 'subtraction', $ means 'addition', and & means 'division', then 28 & 7 @ 8 % 6 $ 4 = ? [Group - D 05/09/2022 (Afternoon)]

Correct Answer: (b) 30
Solution:

Given, 28 & 7 @ 8 % 6 $ 4 = ?
As per given instruction after changing the signs we get,
28 ÷ 7 × 8 - 6 + 4 = 32 - 6 + 4 = 30