Calendar – Railway Reasoning

Total Questions: 63

51. If today is a Tuesday, what will be the 64th day from today? [RRB NTPC 15/03/2021 (Morning)]

Correct Answer: (d) Wednesday
Solution:

Today is Tuesday, then after the 64th day it will be Wednesday. As we have 7 days in a week so 63rd day will be also Tuesday as 63 is the multiple of 7.

52. If today (23/02/2012) is Thursday, then what day will it be after 91 days? [RRB NTPC 27/03/2021 (Evening)]

Correct Answer: (a) Thursday
Solution:

Today = (23/02/2012) and Thursday
Days in a week = 7
Remaining days = 91/7 = 0
Thursday will it be after 91 days

53. If 31 December 2005 was a Saturday, then what day of the week will 31 December 2009 be? [RRB JE 25/05/2019 (Morning)]

Correct Answer: (d) Thursday
Solution:

Number of odd days from 31 december 2005 to 31 december 2009
= 1 + 1 + 2 + 1 = 5
Hence the day on 31 december 2009 = saturday + 5 = thursday

54. What day of the week will 1 January 2022 be? [RRB JE 25/05/2019 (Evening)]

Correct Answer: (d) Saturday
Solution:

Formula for calculating day of any date
0 = sunday, 1 = monday.... 6 = saturday
A = century code (4, 2, 0, 6 for remainder
1, 2, 3, 0) dividing by first two digit of the year by 4
B = last two digits of year
C = number of leap years fallen in that century before that date.
D = month code (respective code of the months are 0, 3, 3, 6, 1, 4, 6, 2, 5, 0, 3, 5)
E = date
Day = remainder of (A + B + C + D + E) when divided by 7.
For 1 january 2022
A = 6, B = 22, C = 5, D = 0, E = 1
According to formula,
Remainder of ( 𝐴 + 𝐵 + 𝐶 + 𝐷 + 𝐸 )/7
= 34/7 is 6, 6 stands for saturday .

55. If 6th March 2005 is a Monday, then what was the day of the week on 6th March 2004? [RRB JE 26/05/2019 (Afternoon)]

Correct Answer: (c) Sunday
Solution:

Logic :
(𝑑𝑖𝑓𝑓𝑒𝑟𝑒𝑛𝑐𝑒 𝑏𝑒𝑡𝑤𝑒𝑒𝑛 𝑦𝑒𝑎𝑟𝑠 + 𝑙𝑒𝑎𝑝 𝑦𝑒𝑎𝑟)/7
= odd days
⇒ 1 + 0/7 = 1 (odd days)
Monday – 1 = sunday

56. If today is Monday, then which day will be after 65 days: [ALP Tier II 08/02/2019 (Morning)]

Correct Answer: (b) Wednesday
Solution:

65/7gives remainder 2
Therefore, after 63 + 2 days, it will be
Monday +2 = wednesday

57. On which dates of December, 2018 will be Wednesdays? [RRB ALP 09/08/2018 (Evening)]

Correct Answer: (d) 5, 12, 19 और 26
Solution:

Formula for calculating day of any date
0 = sunday, 1 = monday.... 6 = saturday
A = century code (4, 2, 0, 6 for remainder 1,2,3,0)dividing by first two digit of the
year by 4
B = last two digits of year
C = number of leap years fallen in that century before that date.
D = month code (respective code of the months are 0, 3, 3, 6, 1, 4, 6, 2, 5, 0, 3, 5)
E = date
Day = remainder of (A + B + C + D + E) when divided by 7.
By hit and trial method, option (d) gives
For 5 December 2018,
A = 6 B = 18 C = 4 D = 5 E = 5
According to formula,
Remainder of = ( 𝐴 + 𝐵 + 𝐶 + 𝐷 + 𝐸 )/7 =38/7  is 3
3 stands for Wednesday
Therefore, 5, 12, 19 and 26 will be wednesdays.

58. 11 January 2018 is a Thursday. On which day will 11 June 2019 fall? [RRB ALP 13/08/2018 (Afternoon)]

Correct Answer: (b) Tuesday
Solution:

11 jan 2018 → Thursday
So , on
11 jan 2019 → Thursday +1 = Friday
Number of odd days from11 jan 2019 to
11 june 2019 → 20 + 0 + 3 +2 + 3 +11 = 4
11 june 2019 Friday + 4 days = Tuesday

59. 1st January 2018 was a Monday. Which of the following years will also start on a Monday? [RRB ALP 14/08/2018 (Morning)]

Correct Answer: (b) 2022
Solution:

1 jan 2018 = monday
1 jan 2019 = tuesday
1 jan 2020 = thursday
Since 2020 is a leap year, it has 365 + 1 days, therefore, 1 jan 2020 = thursday
1 jan 2021 = friday
1 jan 2022 = saturday
1 jan 2023 = sunday
1 jan 2024 = monday

60. 15th February 2018 is a Thursday. On what day will 18th April 2019 fall? [RRB ALP 17/08/2018 (Morning)]

Correct Answer: (d) Thursday
Solution:

15 Feb 2018 → Thursday
So , on
15 Feb 2019 → Thursday +1 = Friday
Number of odd days from 15 Feb 2019 to
18 april 2019 → 13 + 3 + 18 = 6 odd days
18 april 2019 →
Friday + 6 िदन = Thursday