Class 12 Exam > Class 12 Questions > In a class of 70 students, a boy is ranked 18...
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In a class of 70 students, a boy is ranked 18th When five boys joined, his rank was dropped by two. What is his new rank from the end?
- a)52nd
- b)56th
- c)58th
- d)55th
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
In a class of 70 students, a boy is ranked 18th When five boys joined,...
After 5 boys joined, total strength of class = 70 + 5 = 75
As rank was dropped by two from 18th rank, new rank is 20.
Rank of the boy from the beginning = 20
Number of students below his rank = 75 - 20 = 55
Rank from the end = (75- 20) + 1 = 56
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In a class of 70 students, a boy is ranked 18th When five boys joined,...
Given:
- Total number of students in the class = 70
- Boy's rank before the new boys joined = 18
- Five boys joined the class
To find:
- Boy's new rank from the end after the five boys joined
Approach:
1. Determine the boy's initial rank from the end.
2. Calculate the new rank after the five boys joined.
Calculation:
1. Initial rank from the end:
- Total number of students in the class = 70
- Boy's rank = 18
- Boy's initial rank from the end = Total number of students - Boy's rank + 1
= 70 - 18 + 1
= 53rd
2. New rank after the five boys joined:
- Total number of students in the class after the five boys joined = 70 + 5 = 75
- Boy's rank dropped by two, so his new rank = 18 - 2 = 16
- Boy's new rank from the end = Total number of students - Boy's new rank + 1
= 75 - 16 + 1
= 60th
Answer:
The boy's new rank from the end after five boys joined the class is 60th.
- Total number of students in the class = 70
- Boy's rank before the new boys joined = 18
- Five boys joined the class
To find:
- Boy's new rank from the end after the five boys joined
Approach:
1. Determine the boy's initial rank from the end.
2. Calculate the new rank after the five boys joined.
Calculation:
1. Initial rank from the end:
- Total number of students in the class = 70
- Boy's rank = 18
- Boy's initial rank from the end = Total number of students - Boy's rank + 1
= 70 - 18 + 1
= 53rd
2. New rank after the five boys joined:
- Total number of students in the class after the five boys joined = 70 + 5 = 75
- Boy's rank dropped by two, so his new rank = 18 - 2 = 16
- Boy's new rank from the end = Total number of students - Boy's new rank + 1
= 75 - 16 + 1
= 60th
Answer:
The boy's new rank from the end after five boys joined the class is 60th.
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