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Read the following passage and answer the following question that follows.


Aman, Binod, Charan, Dharam and Ehsaan are the members of the same family. Each and everyone loves one another very much. Their birthdays are in different months and on different dates. Aman remembers that his birthday is between 25th and 30th, of Binod it is between 20th and 25th, of Charan it is between 10th and 20th, of Dharam it is between 5th and 10th and of Ehsaan it is between 1st and 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 25 and 30).


If the dates of birth, of four of them are prime numbers, then find the maximum average of the sum of their dates of birth? 

  • a)
    29

  • b)
    23

  • c)
    28

  • d)
    27.2

Correct answer is option 'D'. Can you explain this answer?
Verified Answer
Read the following passage and answer the following question that foll...
It is given that the date of births of four of them are prime numbers


For the average to be maximum, the dates we need to choose must be closest to the maximum dates


Therefore, the four prime dates are 29th, 23th, 19 and 5th


Sum of the date of birth = 29+23+19+10+5+12+11+10+9+8 =136


Average = 136/5  = 27.2


The maximum average when the birth dates of four of them are prime numbers is 27.2
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Most Upvoted Answer
Read the following passage and answer the following question that foll...
Solution:
We know that the maximum average of the sum of their dates of birth will be when the dates of birth are as close as possible.
Let's take the four smallest prime numbers: 2, 3, 5, 7
The sum of these prime numbers is 17.
The average of these prime numbers is 17/4 = 4.25
So, the average of their dates of birth will be 4.25.
To get the maximum average, we need to increase the sum without increasing the number of prime numbers.
We can do this by replacing one of the smaller prime numbers with a larger prime number.
The next larger prime number after 7 is 11. If we replace 2 with 11, the new sum of the prime numbers will be 26.
The new average will be 26/4 = 6.5
Therefore, the maximum average of the sum of their dates of birth is 27.2 (option 'D').
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Community Answer
Read the following passage and answer the following question that foll...
The prime dates must be 31st, 29th, 23rd, 19th and 5th.
sum = 102 
avg = 102/4 = 25.5
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Read the following passage and answer the following question that follows.Aman, Binod, Charan, Dharamand Ehsaanare the members of the same family. Each and everyone loves one another very much. Their birthdays are in different months and on different dates. Aman remembers that his birthday is between25th and30th, of Binodit is between20thand25th, of Charanit is between10thand20th, of Dharamit is between5thand10thand of Ehsaan it is between1st and5thof the month. The sum of the date of birth is defined as the addition of the date and the month, for example12thJanuary will be written as12/1and will add to a sum of the date of13. (Between25thand30thincludes25and30).If the dates of birth, of four of them are prime numbers, then find the maximum average of the sum of their dates of birth?a)29b)23c)28d)27.2Correct answer is option 'D'. Can you explain this answer?
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Read the following passage and answer the following question that follows.Aman, Binod, Charan, Dharamand Ehsaanare the members of the same family. Each and everyone loves one another very much. Their birthdays are in different months and on different dates. Aman remembers that his birthday is between25th and30th, of Binodit is between20thand25th, of Charanit is between10thand20th, of Dharamit is between5thand10thand of Ehsaan it is between1st and5thof the month. The sum of the date of birth is defined as the addition of the date and the month, for example12thJanuary will be written as12/1and will add to a sum of the date of13. (Between25thand30thincludes25and30).If the dates of birth, of four of them are prime numbers, then find the maximum average of the sum of their dates of birth?a)29b)23c)28d)27.2Correct answer is option 'D'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about Read the following passage and answer the following question that follows.Aman, Binod, Charan, Dharamand Ehsaanare the members of the same family. Each and everyone loves one another very much. Their birthdays are in different months and on different dates. Aman remembers that his birthday is between25th and30th, of Binodit is between20thand25th, of Charanit is between10thand20th, of Dharamit is between5thand10thand of Ehsaan it is between1st and5thof the month. The sum of the date of birth is defined as the addition of the date and the month, for example12thJanuary will be written as12/1and will add to a sum of the date of13. (Between25thand30thincludes25and30).If the dates of birth, of four of them are prime numbers, then find the maximum average of the sum of their dates of birth?a)29b)23c)28d)27.2Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Read the following passage and answer the following question that follows.Aman, Binod, Charan, Dharamand Ehsaanare the members of the same family. Each and everyone loves one another very much. Their birthdays are in different months and on different dates. Aman remembers that his birthday is between25th and30th, of Binodit is between20thand25th, of Charanit is between10thand20th, of Dharamit is between5thand10thand of Ehsaan it is between1st and5thof the month. The sum of the date of birth is defined as the addition of the date and the month, for example12thJanuary will be written as12/1and will add to a sum of the date of13. (Between25thand30thincludes25and30).If the dates of birth, of four of them are prime numbers, then find the maximum average of the sum of their dates of birth?a)29b)23c)28d)27.2Correct answer is option 'D'. Can you explain this answer?.
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