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Asha ranks 16th from the top and 15th from the bottom in an examination. How many students are there in the class?
- a)30
- b)31
- c)32
- d)Cannot be determined
- e)None of these
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
Asha ranks 16th from the top and 15th from the bottom in an examinatio...
The correct answer is A as 15+15= 30 students in class.
Most Upvoted Answer
Asha ranks 16th from the top and 15th from the bottom in an examinatio...
Given: Asha ranks 16th from the top and 15th from the bottom in an examination.
To find: How many students are there in the class?
Let the total number of students in the class be 'x'.
From the given information, we can write two equations:
1. Asha's rank from the top = 16
2. Asha's rank from the bottom = 15
Using these equations, we can calculate Asha's actual rank in the class:
Asha's actual rank = (Total number of students in the class) - (Asha's rank from the bottom) + 1
Asha's actual rank = x - 15 + 1
Asha's actual rank = x - 14
Asha's actual rank can also be calculated using the rank from the top:
Asha's actual rank = (Asha's rank from the top) + (Total number of students in the class) - (Asha's rank from the bottom) - 1
Asha's actual rank = 16 + x - 15 - 1
Asha's actual rank = x
Equating the two expressions for Asha's actual rank, we get:
x - 14 = x
14 = x - x
14 = 0
This is not possible, so there must be an error in the problem. However, we can still use the given information to find the total number of students in the class:
Total number of students in the class = (Asha's rank from the top) + (Asha's rank from the bottom) - 1
Total number of students in the class = 16 + 15 - 1
Total number of students in the class = 30
Therefore, there are 30 students in the class. The correct answer is option (a).
To find: How many students are there in the class?
Let the total number of students in the class be 'x'.
From the given information, we can write two equations:
1. Asha's rank from the top = 16
2. Asha's rank from the bottom = 15
Using these equations, we can calculate Asha's actual rank in the class:
Asha's actual rank = (Total number of students in the class) - (Asha's rank from the bottom) + 1
Asha's actual rank = x - 15 + 1
Asha's actual rank = x - 14
Asha's actual rank can also be calculated using the rank from the top:
Asha's actual rank = (Asha's rank from the top) + (Total number of students in the class) - (Asha's rank from the bottom) - 1
Asha's actual rank = 16 + x - 15 - 1
Asha's actual rank = x
Equating the two expressions for Asha's actual rank, we get:
x - 14 = x
14 = x - x
14 = 0
This is not possible, so there must be an error in the problem. However, we can still use the given information to find the total number of students in the class:
Total number of students in the class = (Asha's rank from the top) + (Asha's rank from the bottom) - 1
Total number of students in the class = 16 + 15 - 1
Total number of students in the class = 30
Therefore, there are 30 students in the class. The correct answer is option (a).
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Asha ranks 16th from the top and 15th from the bottom in an examinatio...
Asha is 16th from top so, there are 15 students ahead of her. Further the question says she is 15th from bottom, so, 15+15= 30 students in class. U can understand it well if u know alphabet and their position series.
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Asha ranks 16th from the top and 15th from the bottom in an examination. How many students are there in the class?a)30b)31c)32d)Cannot be determinede)None of theseCorrect answer is option 'A'. Can you explain this answer?
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