Calendar – Railway Reasoning

Total Questions: 63

1. Today is Wednesday. What will be the day of the week after 75 days? [Group - D 24/08/2022 (Afternoon)]

Correct Answer: (d) Monday
Solution:

Today = Wednesday
After 75 days, 75 ÷ 7 = 5
So, required day of the week = Wednesday + 5 = Monday

2. Which of the following years was a leap year? [Group - D 24/08/2022 (Evening)]

Correct Answer: (d) 2012
Solution:

Leap year - Total day 366 instead of 365. February has 29 days. Earth completes its orbit around the Sun in 365 days and 6 hours. So, the year is about 6 hours shorter than the actual solar year. By the end of 4 years, the calendar years will have missed a total of 24 hours, or one full day which occurs in the form of leap year. A year that is a multiple of 4 is a leap year — 2012, 2016, 2020, 2024, 2028, etc. A year ending with 00 is not a leap year - 1900, 3100, etc. A “00 year” in which 00 is preceded by a multiple of 4 remains a leap year 1600, 2000, 2400 etc.

3. Rama remembers that she met her brother on saturday, which was after the day of the particular month. If the 20ᵗʰ 1ˢᵗ day of that month was Tuesday, then on which date did Rama meet her brother ? [NTPC CBT II Level 4 (10/05/2022) Shift 1]

Correct Answer: (a) 26ᵗʰ
Solution:

If 1st day is tuesday then 20th day is after 19 days
remainder =19/7 → 5
So 5 days after tuesday is sunday
Now next saturday is after 6 days
so 20 + 6 = 26th day is saturday

4. A question is given, followed by two statements labelled 1 and 2. Identify which of the statements is/are sufficient /necessary to answer the question. [NTPC CBT II Level 3 (14/06/2022) Shift 2]

 Question:
What day is the 17ᵗʰ of a given month?
Statements;
1. The last day of month is Monday.
2. The second Saturday of month is on 12ᵗʰ

Correct Answer: (c) 2 alone is sufficient while 1 alone is not sufficient
Solution:

According to the given question only option 2 is alone sufficient to get the answer, while option 1 is not.

5. Rajat joined school on 26ᵗʰ February 2020, a Wednesday, and he has his examination scheduled on 26 th May 2020. There was no holiday or leave , except Sundays. For how many active working days did he go to school before the exam ? [NTPC CBT II Level 2 (16/06/2022) Shift 1]

Correct Answer: (d) 77
Solution:

Total number of days between 26ᵗʰ february 2020 and 25ᵗʰ may 2020
= 4 + 31 + 30 + 25 = 90 days
First sunday will be on ⇒ wednesday + 4 = (26ᵗʰ feb. 2020 + 4) = 1 march 2020
Total sunday between them
So number of active working days= 90 - 13 = 77 days

6. Ramu and Ravi met in the market on 5th of a month. Ramu goes to the market every 4th day and Ravi goes every 5th day. On what day of the month will they meet again? [NTPC CBT - I 19/01/2021 (Morning)]

Correct Answer: (d) 25th day
Solution:

Method 1 :
Let us assume today was the 5th day of the month.
L.C.M of these two numbers (5,4) = 20.
They both meet again after
= 20 + 5 = 25th of the month.
Method 2:
Ravi goes once in 5 days ⇒ 5, 10, 15, 20, 25
Ramu goes once every 4 days ⇒ 5, 9, 13, 17, 21, 25.
So the common day for both Ramu and Ravi is 25.
Hence they will meet again after 20 days i.e. 25st if we assume today is 5th.

7. Identify the day from the options that belongs to the following class. [NTPC CBT - I 22/01/2021 (Morning)]

15-08, 02-10, 26-01

Correct Answer: (d) Sunday
Solution:

As all the three dates mentioned are national holidays, similarly Sunday is also a holiday.

8. Ravi goes to a movie on the first Wednesday of every month. Last month he went for Movie on 6th August. Today he is going for a movie. What is Today's date? [NTPC CBT - I 15/02/2021 (Evening)]

Correct Answer: (c) 3rd September
Solution:

Ravi goes to a movie on the first Wednesday of every month
Last month ist wednesday = 4th august
In august month = 31 days
So that today = 3rd sep.

9. On which dates will Sundays come in February 2020 ? [RRB JE 26/05/2019 (Morning)]

Correct Answer: (b) 2, 9, 16, 23 of February
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.
Here we have to find sunday in february 2020 so firstly we will find the day on 1
february 2020
So For 1 february 2020
A = 6, B = 20, C = 4, D = 3, E = 1
According to formula,

=34/7 is 6, 6 stands for saturday .
So day on 1 february 2020 = saturday
So day on 2 february 2020 = saturday + 1 = sunday Hence sunday comes on 2, 9, 16 and 23 in february 2020.

10. How many odd days are there in 94 years? [RRB JE 27/06/2019 (Morning)]

Correct Answer: (b) 5
Solution:

Leap year in 94 years = 94/4 = 23
And ordinary year in 94 years = 94 - 23 = 71
We know that number of odd days in leap year = 2 And number of odd days in
ordinary year = 1
Hence total number of odd days in 94 years = 23 × 2 + 71 = 117 Or 117/7= 5
(remainder) Hence total number of odd days in 94 years = 5