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Akram, Amit, Salman and Saif are four friends listed in a descending order according to their ages. They were all born in the same year. Year X which started with a Monday also ends with the same day. In this year X, all of them celebrated their birthdays in three different months which all started with the same day of a week, on different dates but their birthdays fell on the same day of the week. Salman and Saif have their birthdays in the same month. Akram celebrated his birthday in the first week of the month and Amit on the 10th of a month. All were born on different dates.
 
Q.In which month and on which date did Salman celebrate his birthday in the year X?
  • a)
    17th September
  • b)
    12th September
  • c)
    17th November
  • d)
    12th November
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
Akram, Amit, Salman and Saif are four friends listed in a descending o...
Salman celebrate his birthday on 17th November.
Hence, option 3.
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Most Upvoted Answer
Akram, Amit, Salman and Saif are four friends listed in a descending o...
A) Introduction:
In this problem, we are given information about the birthdays of four friends - Akram, Amit, Salman, and Saif. We need to determine in which month and on which date Salman celebrated his birthday in the year X.

B) Given Information:
1. The four friends were born in the same year.
2. Year X started with a Monday and also ended with the same day.
3. All four friends celebrated their birthdays in three different months.
4. These three months all started with the same day of the week.
5. Salman and Saif have their birthdays in the same month.
6. Akram celebrated his birthday in the first week of the month.
7. Amit celebrated his birthday on the 10th of a month.
8. All four friends were born on different dates.

C) Solution:
Let's analyze the given information step by step to determine the month and date of Salman's birthday.

Step 1:
Since Year X started and ended on the same day (Monday), it means that it consisted of 365 days. Now, we need to find the day of the week on the 10th of January in Year X.

Step 2:
Since Year X started with a Monday, we can calculate the day of the week on any given date by counting the number of days from the start of the year.

Step 3:
We know that the 10th of January is the 10th day of the year. Since January has 31 days, there are 9 days remaining in January after the 10th.

Step 4:
Now, if we divide the remaining 9 days by 7 (the number of days in a week), we get a remainder of 2. This means that the 10th of January falls on a Wednesday in Year X.

Step 5:
According to the given information, all four friends celebrated their birthdays in three different months that started with the same day of the week. This means that the months with the same starting day must have 31 days, as only then will the 10th of a month fall on the same day of the week.

Step 6:
Since Salman and Saif have their birthdays in the same month and their birthdays fall on the same day of the week, we can conclude that this month must be either January, March, May, July, August, October, or December (months with 31 days).

Step 7:
Since Akram celebrated his birthday in the first week of the month, it means that his birthday must have fallen before the 10th of the month. Therefore, the month cannot be January or March, as their 10th day has already passed.

Step 8:
Since Amit celebrated his birthday on the 10th of a month, and his birthday fell on the same day of the week as Salman and Saif, it means that the 10th day of the month when Amit celebrated his birthday must be the same as the day when Salman and Saif celebrated their birthdays.

Step 9:
Based on the information mentioned in Steps 6, 7, and 8, we can conclude that the only possible month for Salman's birthday is November, as
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Akram, Amit, Salman and Saif are four friends listed in a descending order according to their ages. They were all born in the same year. Year X which started with a Monday also ends with the same day. In this year X, all of them celebrated their birthdays in three different months which all started with the same day of a week, on different dates but their birthdays fell on the same day of the week. Salman and Saif have their birthdays in the same month. Akram celebrated his birthday in the first week of the month and Amit on the 10th of a month. All were born on different dates.Q.In which month and on which date did Salman celebrate his birthday in the year X?a)17th Septemberb)12th Septemberc)17th Novemberd)12th NovemberCorrect answer is option 'C'. Can you explain this answer?
Question Description
Akram, Amit, Salman and Saif are four friends listed in a descending order according to their ages. They were all born in the same year. Year X which started with a Monday also ends with the same day. In this year X, all of them celebrated their birthdays in three different months which all started with the same day of a week, on different dates but their birthdays fell on the same day of the week. Salman and Saif have their birthdays in the same month. Akram celebrated his birthday in the first week of the month and Amit on the 10th of a month. All were born on different dates.Q.In which month and on which date did Salman celebrate his birthday in the year X?a)17th Septemberb)12th Septemberc)17th Novemberd)12th NovemberCorrect answer is option 'C'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about Akram, Amit, Salman and Saif are four friends listed in a descending order according to their ages. They were all born in the same year. Year X which started with a Monday also ends with the same day. In this year X, all of them celebrated their birthdays in three different months which all started with the same day of a week, on different dates but their birthdays fell on the same day of the week. Salman and Saif have their birthdays in the same month. Akram celebrated his birthday in the first week of the month and Amit on the 10th of a month. All were born on different dates.Q.In which month and on which date did Salman celebrate his birthday in the year X?a)17th Septemberb)12th Septemberc)17th Novemberd)12th NovemberCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Akram, Amit, Salman and Saif are four friends listed in a descending order according to their ages. They were all born in the same year. Year X which started with a Monday also ends with the same day. In this year X, all of them celebrated their birthdays in three different months which all started with the same day of a week, on different dates but their birthdays fell on the same day of the week. Salman and Saif have their birthdays in the same month. Akram celebrated his birthday in the first week of the month and Amit on the 10th of a month. All were born on different dates.Q.In which month and on which date did Salman celebrate his birthday in the year X?a)17th Septemberb)12th Septemberc)17th Novemberd)12th NovemberCorrect answer is option 'C'. Can you explain this answer?.
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