For a certain month. The dates of three of the Sunday are even numbers. Then the 15th of that month falls on a
For a certain month. The dates of three of the Sunday are even numbers. Then the 15th of that month falls on a
A
Thursday
B
Friday
C
Saturday
D
Sunday
Text Solution
AI Generated Solution
The correct Answer is:
To determine what day the 15th of the month falls on, given that three Sundays in that month are on even-numbered dates, we can follow these steps:
### Step-by-Step Solution:
1. **Understanding the Problem**: We know that there are three Sundays that fall on even-numbered dates in a month. We need to find out what day the 15th of that month is.
2. **Identifying Possible Even Sundays**: Since there are three Sundays on even-numbered dates, the possible even dates for Sundays could be 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30.
3. **Setting Up the Sundays**: For there to be three Sundays on even dates, we can assume the first Sunday falls on an even date. Let's denote the first Sunday as the 2nd of the month. The subsequent Sundays would then be:
- 1st Sunday: 2nd
- 2nd Sunday: 9th (2 + 7)
- 3rd Sunday: 16th (9 + 7)
Here, we see that the 2nd Sunday is on an even date (2), and the 3rd Sunday is also on an even date (16). However, we need to ensure that we have three Sundays on even dates.
4. **Finding Valid Even Sundays**: If we start with the 2nd as the first Sunday, the next Sundays would be:
- 2nd (1st Sunday)
- 9th (2nd Sunday)
- 16th (3rd Sunday)
- 23rd (4th Sunday)
- 30th (5th Sunday)
In this case, we have only one even Sunday (2nd). So, we need to try a different starting point.
5. **Trying Another Starting Point**: Let's assume the first Sunday is the 4th:
- 1st Sunday: 4th
- 2nd Sunday: 11th
- 3rd Sunday: 18th
- 4th Sunday: 25th
Here, we have only one even Sunday (4th).
6. **Finding a Valid Combination**:
- If we start with the 2nd Sunday on the 8th:
- 1st Sunday: 8th
- 2nd Sunday: 15th
- 3rd Sunday: 22nd
- 4th Sunday: 29th
Here, we have two even Sundays (8th and 22nd), but we still need three.
7. **Final Setup**:
- Let’s try starting with the 6th:
- 1st Sunday: 6th
- 2nd Sunday: 13th
- 3rd Sunday: 20th
- 4th Sunday: 27th
We have two even Sundays (6th and 20th), but still not three.
8. **Conclusion**: After checking various combinations, we find that if the Sundays are on 2nd, 16th, and 30th, we have three even Sundays. The 15th will then fall on a Saturday.
### Final Answer:
The 15th of that month falls on a **Saturday**.
|
Topper's Solved these Questions
Similar Questions
Explore conceptually related problems
For a certain month,the dates of three of the Sundays are even numbers.Then,the 15 th of the that month falls on a (a) Thursday Friday (c) Saturday (d) Sunday
Consider the given question and decide which of the following statements is sufficient to answer the question. What day is the 14th of a given month? Statements: 1. The last day of the month is Sunday. 2. The fourth Saturday of the month is 25th .
Knowledge Check
Read the following passage and answer the questions the follow. In a family of five persons A, B, C, D and E, each and everyone loves one another very much. Their birthdays are in different months and on different dates. A remembers that his birthday is between 25th and 30th, of B it is between 20th and 25th, of C it is between 10th and 20th, of D it is between 5th and 10th and of E it is between 1st to 5th of the month, the sum of the date of birth is defined as the addition of the date and the month, for example 12th January will be written as 12/1 and will add to a sum of the date of 13. (Between 25th and 30th includes both 25 and 30). If it is known that the dates of birth of three of them are even numbers then find maximum average of their sum of the dates of birth.
Read the following passage and answer the questions the follow. In a family of five persons A, B, C, D and E, each and everyone loves one another very much. Their birthdays are in different months and on different dates. A remembers that his birthday is between 25th and 30th, of B it is between 20th and 25th, of C it is between 10th and 20th, of D it is between 5th and 10th and of E it is between 1st to 5th of the month, the sum of the date of birth is defined as the addition of the date and the month, for example 12th January will be written as 12/1 and will add to a sum of the date of 13. (Between 25th and 30th includes both 25 and 30). If it is known that the dates of birth of three of them are even numbers then find maximum average of their sum of the dates of birth.
A
24.6
B
15.2
C
27.6
D
28
If the 2nd of a month falls on Sunday, what day will the 31st of that month be?
If the 2nd of a month falls on Sunday, what day will the 31st of that month be?
A
a) Tuesday
B
b) Saturday
C
c) Friday
D
d) Monday
With reference to Banking. The 15th day a month is known as ____
With reference to Banking. The 15th day a month is known as ____
A
Banking Day
B
Customer's Day
C
Holiday
D
Complaints Day
Similar Questions
Explore conceptually related problems
In a certain month, the first Sunday falls on the fifth day of the month. In the same month, the fourth Sunday falls on the ________day.
With reference to Banking. The 15th day a month is known as ____
Ten persons A, B, C, D, E, F, G H, I and J are going to four cities on four different dates i.e. 2nd, 4th, 7th and 9th of the month. Each person goes on different cities on different dates. Four cities are namely Ranchi, Delhi, Kota and Patna, but not necessarily in the same order. At least one person goes on each date. No person goes to Ranchi on 4th of the month. B does not go to any city on 2nd and 7th of the month. The persons, who go on 7, go to every city. I goes to Kota only with that person who goes on 7th of the month. Maximum four persons can go on the same date. Only one person goes to Delhi. J does not go on 7th of the month. C does not go to Ranchi but go with E, who goes on 9th of the month. One of the person, who goes to Kota, goes on even number date of the month, which is more than 3. B goes to Ranchi with A, but does not go with H. H goes on that city in which most of the person are going. F does not go with C and J but go with another person. J goes to Ranchi. D does not go with E. G does not go on 9th and 2nd of the month. H goes on an odd number date of the month and no any person go on that date on which H goes in that city. One of the person, who goes to Ranchi go on even number date of the month. C goes on an odd number date of the month. Who among the following person goes on 2^(nd) of the month ?
If 9th of the month falls on the day preceding Sunday, on what day will 1st of the month fall?
If 5^(th) of the month falls 4 days after Sunday, then what will be the day on the 16^(th) of that month ?