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DIRECTIONS: Choose the most appropriate answer.
Q. There were 24 students in a class. One of them, who was 18 years old, left the class and his place was filled up by a new comer. If the average of the class was thereby lowered by 1 month, the age of new comer is
  • a)
    14 years
  • b)
    15 years
  • c)
    16 years
  • d)
    17 years
Correct answer is option 'C'. Can you explain this answer?
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DIRECTIONS:Choose the most appropriate answer.Q. There were 24 student...
Age of new comer 
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DIRECTIONS:Choose the most appropriate answer.Q. There were 24 student...
Solution:

Given,
Number of students in the class = 24
Age of the student who left the class = 18 years

Let the age of the new comer be x years.

After the new student joined, the total age of the class = Total age of 24 students - Age of the student who left + Age of the new comer
= (24 * Average age of the class) - 18 + x

Also, it is given that the average of the class was lowered by 1 month which means the new average is 1/12 less than the previous average.

So, we can write the equation as:

(24 * Average age of the class) - 18 + x = 23 * (Average age of the class - 1/12)

Simplifying the above equation, we get:

24 * Average age of the class - 18 + x = 23 * Average age of the class - 23/12

1 * Average age of the class = 23/12 + 18 - x

Average age of the class = (23/12 + 18 - x)/1

Average age of the class = (221 + 12 - x)/12

Average age of the class = (233 - x)/12

Now, substituting the given value of the new average, we get:

(Average age of the class) - 1/12 = (233 - x)/12 - 1/12

(23/12) - (1/12) = (233 - x)/12 - 1/12

22/12 = (233 - x)/12

22 = 233 - x

x = 233 - 22 = 211

Therefore, the age of the new comer is 16 years (Option C).
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DIRECTIONS:Choose the most appropriate answer.Q. There were 24 students in a class. One of them, who was 18 years old, left the class and his place was filled up by a new comer. If the average of the class was thereby lowered by 1 month, the age of new comer isa)14 yearsb)15 yearsc)16 yearsd)17 yearsCorrect answer is option 'C'. Can you explain this answer?
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DIRECTIONS:Choose the most appropriate answer.Q. There were 24 students in a class. One of them, who was 18 years old, left the class and his place was filled up by a new comer. If the average of the class was thereby lowered by 1 month, the age of new comer isa)14 yearsb)15 yearsc)16 yearsd)17 yearsCorrect answer is option 'C'. Can you explain this answer? for Defence 2024 is part of Defence preparation. The Question and answers have been prepared according to the Defence exam syllabus. Information about DIRECTIONS:Choose the most appropriate answer.Q. There were 24 students in a class. One of them, who was 18 years old, left the class and his place was filled up by a new comer. If the average of the class was thereby lowered by 1 month, the age of new comer isa)14 yearsb)15 yearsc)16 yearsd)17 yearsCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Defence 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for DIRECTIONS:Choose the most appropriate answer.Q. There were 24 students in a class. One of them, who was 18 years old, left the class and his place was filled up by a new comer. If the average of the class was thereby lowered by 1 month, the age of new comer isa)14 yearsb)15 yearsc)16 yearsd)17 yearsCorrect answer is option 'C'. Can you explain this answer?.
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