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DIRECTIONS for the question: Solve the following question and mark the best possible option.
A student was asked to find the average of the first n natural numbers. By mistake he forgot to add one number somewhere in between. He found the average of the remaining numbers as  Find the number he forgot to add.
Q. All of the following are true as per the passage, EXCEPT
  • a)
    14
  • b)
    16
  • c)
    18
  • d)
    None of these
Correct answer is option 'D'. Can you explain this answer?
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DIRECTIONS for the question:Solve the following question and mark the ...
The average of (n -1) numbers is calculated as 30.17. Since we are calculating the average of the 1st n natural numbers, we know that the average will be the middle number if n is odd and the average will be the average of the middle 2 numbers if n is even. As the given average is 30.17, so the original average of n numbers is either 30 or 30.5.
If the average is 30, n = 59 and if the average is 30.5, n = 60.
if n = 59 and the missing number is x, then

Solving the equation gives x = 20. If n = 60 and the missing number is 
x,  then
 Solving this equation gives x = 49.82. Since x is a natural number, the missing number is 20.
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DIRECTIONS for the question:Solve the following question and mark the ...
The average of (n -1) numbers is calculated as 30.17. Since we are calculating the average of the 1st n natural numbers, we know that the average will be the middle number if n is odd and the average will be the average of the middle 2 numbers if n is even. As the given average is 30.17, so the original average of n numbers is either 30 or 30.5.
If the average is 30, n = 59 and if the average is 30.5, n = 60.
if n = 59 and the missing number is x, then

Solving the equation gives x = 20. If n = 60 and the missing number is 
x,  then
 Solving this equation gives x = 49.82. Since x is a natural number, the missing number is 20.
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DIRECTIONS for the question:Solve the following question and mark the best possible option.A student was asked to find the average of the first n natural numbers. By mistake he forgot to add one number somewhere in between. He found the average of the remaining numbers asFind the number he forgot to add.Q.All of the following are true as per the passage, EXCEPTa)14b)16c)18d)None of theseCorrect answer is option 'D'. Can you explain this answer?
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DIRECTIONS for the question:Solve the following question and mark the best possible option.A student was asked to find the average of the first n natural numbers. By mistake he forgot to add one number somewhere in between. He found the average of the remaining numbers asFind the number he forgot to add.Q.All of the following are true as per the passage, EXCEPTa)14b)16c)18d)None of theseCorrect answer is option 'D'. 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 DIRECTIONS for the question:Solve the following question and mark the best possible option.A student was asked to find the average of the first n natural numbers. By mistake he forgot to add one number somewhere in between. He found the average of the remaining numbers asFind the number he forgot to add.Q.All of the following are true as per the passage, EXCEPTa)14b)16c)18d)None of theseCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for DIRECTIONS for the question:Solve the following question and mark the best possible option.A student was asked to find the average of the first n natural numbers. By mistake he forgot to add one number somewhere in between. He found the average of the remaining numbers asFind the number he forgot to add.Q.All of the following are true as per the passage, EXCEPTa)14b)16c)18d)None of theseCorrect answer is option 'D'. Can you explain this answer?.
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