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Question 1 of 5
1. Question
In 1980, Indian Republic day was celebrated on Saturday. Subhash was born on 5th September in the same year. Arvind is 5 days younger to Subhash while Arunima is 2 days elder to Arvind. Find out on which days of the week were Arvind and Arunima born?
Correct
Solution: Option (a)
Explanation:
In 1980, Indian Republic day was celebrated on Saturday. Therefore, 26th January 1980 was Saturday.
Number of odd days from 26th January to 31st January = 5
Number of odd days in:
February (1980 is a leap year, therefore February has 29 days) = 1
March = 3
April = 2
May = 3
June= 2
July = 3
August = 3
September = 5
Number of odd days from 26th January to 5th September = {5 + 1 + 3 + 2 + 3 + 2 + 3 + 3 + 5}/7 = 27/7 = 6
Subhash was born on 5th September 1980. Therefore, his birthday fell on (Saturday + 6 days) = Friday
Arvind is 5 days younger to Subhash. Therefore, his birthday fell on (Friday + 5 days) = Wednesday
Arunima is 2 days elder to Arvind. Therefore, her birthday fell on (Wednesday – 2 days) = Monday
Arvind and Arunima were born on Wednesday and Monday respectively.
Incorrect
Solution: Option (a)
Explanation:
In 1980, Indian Republic day was celebrated on Saturday. Therefore, 26th January 1980 was Saturday.
Number of odd days from 26th January to 31st January = 5
Number of odd days in:
February (1980 is a leap year, therefore February has 29 days) = 1
March = 3
April = 2
May = 3
June= 2
July = 3
August = 3
September = 5
Number of odd days from 26th January to 5th September = {5 + 1 + 3 + 2 + 3 + 2 + 3 + 3 + 5}/7 = 27/7 = 6
Subhash was born on 5th September 1980. Therefore, his birthday fell on (Saturday + 6 days) = Friday
Arvind is 5 days younger to Subhash. Therefore, his birthday fell on (Friday + 5 days) = Wednesday
Arunima is 2 days elder to Arvind. Therefore, her birthday fell on (Wednesday – 2 days) = Monday
Arvind and Arunima were born on Wednesday and Monday respectively.
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Question 2 of 5
2. Question
The 4th day of September of a particular year is Tuesday. On what date shall the last Monday of the month fall?
Correct
Solution: Option (c)
Explanation:
The first Monday is on 3rd.
Last Monday will be on 21 + 3 = 24th.
Remember: September has only 30 days.
Incorrect
Solution: Option (c)
Explanation:
The first Monday is on 3rd.
Last Monday will be on 21 + 3 = 24th.
Remember: September has only 30 days.
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Question 3 of 5
3. Question
If 1st day of a century is Friday then what could be the 1st day of the next century.
Correct
Solution: Option (c)
Explanation:
In a period of 100 years, there are 23 or 24 leap years (as for century year it might be or might not be a leap year, as 1900 was not a leap year)
The number of odd days in a period of 100 years is 100 + 23 or 100 + 24 or 123/124 odd days.
The number of odd days in 100 years is when 123/124 divided by 7, the remainder is 4 or 5. So next century should start with Tuesday or Wednesday.
Incorrect
Solution: Option (c)
Explanation:
In a period of 100 years, there are 23 or 24 leap years (as for century year it might be or might not be a leap year, as 1900 was not a leap year)
The number of odd days in a period of 100 years is 100 + 23 or 100 + 24 or 123/124 odd days.
The number of odd days in 100 years is when 123/124 divided by 7, the remainder is 4 or 5. So next century should start with Tuesday or Wednesday.
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Question 4 of 5
4. Question
If you were born on 14th April 1992, which was a Sunday, then on which day of the week does your birthday fall in 1993?
Correct
Solution: Option (a)
Explanation:
14th April 1992 to 14th April 1993 is a complete year, which has 365 days. Hence, the number of odd days from 14th April 1992 to 14th April 1993 is 1. Hence, 14th April 1993 is one day after Sunday. i.e, Monday.
Incorrect
Solution: Option (a)
Explanation:
14th April 1992 to 14th April 1993 is a complete year, which has 365 days. Hence, the number of odd days from 14th April 1992 to 14th April 1993 is 1. Hence, 14th April 1993 is one day after Sunday. i.e, Monday.
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Question 5 of 5
5. Question
If every second Saturday and all the Sundays are holidays in a 30 days month beginning on Saturday, then how many working days are there in that month?
Correct
Solution: Option (c)
Explanation:
Since the month begins on Saturday, so 2nd, 9th, 16th, 23rd and 30th days are Sundays.
While 8th and 22nd days are second Saturdays.
Thus, there are 7 holidays in all.
Therefore, the number of working days = 30 – 7 = 23.
Incorrect
Solution: Option (c)
Explanation:
Since the month begins on Saturday, so 2nd, 9th, 16th, 23rd and 30th days are Sundays.
While 8th and 22nd days are second Saturdays.
Thus, there are 7 holidays in all.
Therefore, the number of working days = 30 – 7 = 23.
