Concept of “Calendar”-01

1. Q. Which one of the following is a leap year? [Ans. (c) 2000 A D]

(a) 1900 A D (b) 1962 A D  (c) 2000 A D (d)All are leap years (e) None of these

2. Q. Which one of the following may be the first day of a century? [Ans. (d)  Saturday]          (a) Friday (b) Sunday (c) Wednesday (d) Saturday (e) None of these

3. Q. Which one of the following may be the last day of a century? [Ans. (b) Sunday]

(a) Saturday (b) Sunday (c) Thursday (d) Tuesday (e) None of these

Solution:

Detailed Explanation:

Concept:

A.      Every year, which is divisible by 4 is a leap year; except centurieth year, which should divisible by 400 to be a leap year.

B.      The period of a particular day in a week is 7. So, a week contains zero odd days.

C.      A month of 30 days contains 2 odd days; whereas the month of 31 days contains 3 odd days.

D.      A simple year contains one odd day, whereas a leap year contains two odd days.

E.      A period of 100 years contain 5 odd days.

F.       A period of 200 years contain 3 odd days.

G.      A period of 300 years contain 1 odd day.

H.      A period of 400 years contain 0 odd days.

I.        1^st January, 1^st A D was Sunday.

J.       If counting starts from 1^st January, 1^st A D, then

K.      “0” stands for Sunday

L.      “1” stands for Monday

M.     “2” stands for Tuesday

N.      “3” stands for Wednesday

O.      “4” stands for Thursday

P.       “5” stands for Friday

Q.      “6” stands for Saturday

R.      “0” stands for Sunday

1. Q. Which one of the following is a leap year? [Ans. (c) 2000 A D]

(a) 1900 A D (b) 1962 A D  (c) 2000 A D (d)All are leap years (e) None of these

Solution: 2000 is divisible by 400, so this is a leap year.

Concept: “A Leap Year is a year which is divisible by 4; except centurieth year, where it should be divisible by 400”

In the options, 1962 is not divisible by 4. Also, 1900 is not divisible by 400; but 2000 is divisible by 400, so 2000 AD is the answer.

2. Q. Which one of the following may be the last day of a century? [Ans. (b) Sunday]

(a) Saturday (b) Sunday (c) Thursday (d) Tuesday (e) None of these

Solution:

Concept: “A century contains 5, 3, 1, or 0 odd days.” So, last day of a century will be only out of “Friday, Wednesday, Monday or Sunday.” 

Therefore, The answer is Sunday. [As ‘5’ stands for Friday; ‘3’ stands for Wednesday; ‘1’ stands for Monday and ‘0’ stands for Sunday]

3. Q. Which one of the following may be the first day of a century? [Ans. (d) Saturday]            (a) Friday (b) Sunday (c) Wednesday (d) Saturday (e) None of these

Solution:

Concept: “A century contains 5, 3, 1, or 0 odd days.” So, 1^st day of a century will be the next day of last day of a century; that is, only out of 6, 4, 2 or 1; that is, out of “Saturday, Thursday, Tuesday or Monday.” 

So, the answer is Saturday. Ans. [As ‘6’ stands for Saturday; ‘4’ stands for Thursday; ‘2’ stands for Tuesday and ‘1’ stands for Monday]

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