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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 Akram celebrate his birthday in the year X?
  • a)
    1st February
  • b)
    3rd February
  • c)
    3rd March
  • d)
    1st April
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
Akram, Amit, Salman and Saif are four friends listed in a descending o...
Akram celebrate his birthday on 3rd February.
Hence, option 2.
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Akram, Amit, Salman and Saif are four friends listed in a descending o...
Given:
- Akram, Amit, Salman, and Saif are four friends listed in descending order of their ages.
- They were all born in the same year, denoted as year X.
- Year X started with a Monday and ended with the same day.
- In year X, all of them celebrated their birthdays in three different months, which all started with the same day of the week.
- 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.
- Amit celebrated his birthday on the 10th of a month.
- All of them were born on different dates.

To Find:
- The month and date on which Akram celebrated his birthday in year X.

Solution:
Let's analyze the given information step by step:

Step 1: Determine the starting day of the year X:
Since year X started with a Monday and ended with the same day, the year X must have had 365 days, which is not a leap year. Therefore, the starting day of the year X will be the same as the ending day, i.e., Monday.

Step 2: Determine the months with the same starting day:
Since all four friends celebrated their birthdays on the same day of the week, there must be three months in year X that started with the same day of the week. Let's consider the months one by one:

- January: The starting day of January can be any day of the week. But since Akram celebrated his birthday in the first week of the month, his birthday cannot be in January.
- February: The starting day of February can be any day of the week. Akram's birthday could be in February, but we need more information to confirm.
- March: The starting day of March can be any day of the week. Akram's birthday could be in March, but we need more information to confirm.
- April: The starting day of April can be any day of the week. Akram's birthday could be in April, but we need more information to confirm.
- May: The starting day of May can be any day of the week. Since Amit celebrated his birthday on the 10th, his birthday cannot be in May because May 10th is already taken.
- June: The starting day of June can be any day of the week. Since Salman and Saif have their birthdays in the same month, Akram's birthday cannot be in June.
- July: The starting day of July can be any day of the week. Since Akram celebrated his birthday in the first week of the month, his birthday cannot be in July.
- August: The starting day of August can be any day of the week. Since Amit celebrated his birthday on the 10th, his birthday cannot be in August because August 10th is already taken.
- September: The starting day of September can be any day of the week. Since Salman and Saif have their birthdays in the same month, Akram's birthday cannot be in September.
- October: The starting day of October can be any day of the week. Since Akram celebrated his birthday in the first week of the month, his birthday cannot be in October.
- November: The starting day of November can be any day of
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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 Akram celebrate hisbirthday in the year X?a)1st Februaryb)3rd Februaryc)3rd Marchd)1st AprilCorrect answer is option 'B'. 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 Akram celebrate hisbirthday in the year X?a)1st Februaryb)3rd Februaryc)3rd Marchd)1st AprilCorrect answer is option 'B'. 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 Akram celebrate hisbirthday in the year X?a)1st Februaryb)3rd Februaryc)3rd Marchd)1st AprilCorrect answer is option 'B'. 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 Akram celebrate hisbirthday in the year X?a)1st Februaryb)3rd Februaryc)3rd Marchd)1st AprilCorrect answer is option 'B'. Can you explain this answer?.
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