CAT Exam  >  CAT Questions  >  Average of 20 distinct natural number are19.2... Start Learning for Free
Average of 20 distinct natural number are 19.25. 10 more natural numbers are added such that each of the newly added number is greater than 19 and the average increases to 20.1. What is the maximum possible value of the number which is added to the original set?
  • a)
    40
  • b)
    32
  • c)
    38
  • d)
    35
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
Average of 20 distinct natural number are19.25. 10 more natural number...
Average of 20 distinct natural numbers = 19.25
Sum of those 20 numbers = 19.25 × 20 = 385 ....(I)
When 10 more numbers were added, the average becomes 20.1
Sum of all the 30 numbers = 20.1 × 30 = 603 ...(II)
Sum of the 10 numbers added = (II) -(I) = 218
All of these numbers are greater than 19. Thus the number to me maximum, 9 of them has to be 20 and tenth number will be the maximum
9 × 20 + n = 218
180 + n = 218 or n = 38
View all questions of this test
Most Upvoted Answer
Average of 20 distinct natural number are19.25. 10 more natural number...
Given:
- Average of 20 distinct natural numbers = 19.25
- 10 more natural numbers are added such that each of the newly added number is greater than 19 and the average increases to 20.1

To Find:
- Maximum possible value of the number which is added to the original set

Approach:
- Let sum of original 20 numbers be S
- Then, S/20 = 19.25 or S = 385
- Let the sum of 10 new numbers be X
- Then, (S+X)/30 = 20.1 or S+X = 603

Calculation:

- From above, S = 385 and S+X = 603
- Therefore, X = 218
- To find the maximum possible value of the number which is added to the original set, we need to find the maximum possible value of any one of the 10 new numbers
- Let the maximum value be 'm'
- Then, (385+m)/30 = 20.1 or m = 603 - 385 - 19*10
- Solving, m = 38

Therefore, the maximum possible value of the number which is added to the original set is 38 (Option C).
Free Test
Community Answer
Average of 20 distinct natural number are19.25. 10 more natural number...
38
Attention CAT Students!
To make sure you are not studying endlessly, EduRev has designed CAT study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in CAT.
Explore Courses for CAT exam

Similar CAT Doubts

Average of 20 distinct natural number are19.25. 10 more natural numbers are added such that each of the newly added number is greater than 19 and the average increases to 20.1. What is the maximum possible value of the number which is added to the original set?a)40b)32c)38d)35Correct answer is option 'C'. Can you explain this answer?
Question Description
Average of 20 distinct natural number are19.25. 10 more natural numbers are added such that each of the newly added number is greater than 19 and the average increases to 20.1. What is the maximum possible value of the number which is added to the original set?a)40b)32c)38d)35Correct 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 Average of 20 distinct natural number are19.25. 10 more natural numbers are added such that each of the newly added number is greater than 19 and the average increases to 20.1. What is the maximum possible value of the number which is added to the original set?a)40b)32c)38d)35Correct 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 Average of 20 distinct natural number are19.25. 10 more natural numbers are added such that each of the newly added number is greater than 19 and the average increases to 20.1. What is the maximum possible value of the number which is added to the original set?a)40b)32c)38d)35Correct answer is option 'C'. Can you explain this answer?.
Solutions for Average of 20 distinct natural number are19.25. 10 more natural numbers are added such that each of the newly added number is greater than 19 and the average increases to 20.1. What is the maximum possible value of the number which is added to the original set?a)40b)32c)38d)35Correct answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for CAT. Download more important topics, notes, lectures and mock test series for CAT Exam by signing up for free.
Here you can find the meaning of Average of 20 distinct natural number are19.25. 10 more natural numbers are added such that each of the newly added number is greater than 19 and the average increases to 20.1. What is the maximum possible value of the number which is added to the original set?a)40b)32c)38d)35Correct answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of Average of 20 distinct natural number are19.25. 10 more natural numbers are added such that each of the newly added number is greater than 19 and the average increases to 20.1. What is the maximum possible value of the number which is added to the original set?a)40b)32c)38d)35Correct answer is option 'C'. Can you explain this answer?, a detailed solution for Average of 20 distinct natural number are19.25. 10 more natural numbers are added such that each of the newly added number is greater than 19 and the average increases to 20.1. What is the maximum possible value of the number which is added to the original set?a)40b)32c)38d)35Correct answer is option 'C'. Can you explain this answer? has been provided alongside types of Average of 20 distinct natural number are19.25. 10 more natural numbers are added such that each of the newly added number is greater than 19 and the average increases to 20.1. What is the maximum possible value of the number which is added to the original set?a)40b)32c)38d)35Correct answer is option 'C'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice Average of 20 distinct natural number are19.25. 10 more natural numbers are added such that each of the newly added number is greater than 19 and the average increases to 20.1. What is the maximum possible value of the number which is added to the original set?a)40b)32c)38d)35Correct answer is option 'C'. Can you explain this answer? tests, examples and also practice CAT tests.
Explore Courses for CAT exam

Top Courses for CAT

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev