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Akil ranked seventeenth from the top and thirty seventh from the bottom in a class.How many students are there in the class?
- a)53
- b)45
- c)54
- d)52
- e)None of these
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
Akil ranked seventeenth from the top and thirty seventh from the botto...
Problem: Akil ranked seventeenth from the top and thirty seventh from the bottom in a class. How many students are there in the class?
Solution:
Let us assume that there are 'x' students in the class.
Given, Akil ranked seventeenth from the top and thirty-seventh from the bottom.
We know that the sum of the ranks of the same student from the top and bottom is always equal to the total number of students in the class.
Therefore, the rank of Akil from the bottom = (x - 16) [since Akil is 17th from the top]
Now, we can write the equation as:
(x - 16) + 17 = x - 37 + 1
Simplifying the above equation, we get:
x - 16 + 17 = x - 36
x + 1 = x - 36
1 + 36 = x - x
x = 37 + 1
x = 38
Therefore, there are 38 students in the class.
Answer: Option (a) 53.
Solution:
Let us assume that there are 'x' students in the class.
Given, Akil ranked seventeenth from the top and thirty-seventh from the bottom.
We know that the sum of the ranks of the same student from the top and bottom is always equal to the total number of students in the class.
Therefore, the rank of Akil from the bottom = (x - 16) [since Akil is 17th from the top]
Now, we can write the equation as:
(x - 16) + 17 = x - 37 + 1
Simplifying the above equation, we get:
x - 16 + 17 = x - 36
x + 1 = x - 36
1 + 36 = x - x
x = 37 + 1
x = 38
Therefore, there are 38 students in the class.
Answer: Option (a) 53.
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Akil ranked seventeenth from the top and thirty seventh from the botto...
Ans) A
( 37+17)-1=53.
( 37+17)-1=53.
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Akil ranked seventeenth from the top and thirty seventh from the bottom in a class.How many students are there in the class?a)53b)45c)54d)52e)None of theseCorrect answer is option 'A'. Can you explain this answer?
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