To solve the problem, we need to determine A's rank in the entire class based on the given information about her and B's ranking among the girls and boys separately.
Step 1: Determine Total Number of Girls
A ranks 10th from both the top and the bottom among the girls, which implies that:
- Total number of girls = 10 + 10 - 1 = 19.
Step 2: Determine Total Number of Boys
B's ranking among the boys is given as 6th from the top and 16th from the bottom. Therefore:
- Total number of boys = 6 + 16 - 1 = 21.
Step 3: Calculate Total Number of Students in the Class
Adding the number of girls and boys together gives us:
- Total students = 19 (girls) + 21 (boys) = 40.
Step 4: Determine A and B's Positions in the Entire Class
- A ranks 10th from the top among girls. There are 19 girls in total, hence she is the 10th girl.
- B ranks 6th from the top among boys. There are 21 boys in total, hence he is the 26th (19 + 6 - 1) in the overall class because all the girls are considered first.
Step 5: A is Ahead of B in the Merit Order
A is immediately ahead of B, meaning A takes the 25th position in the overall order of 40 students.
Conclusion: Find A's Rank from the Top and Bottom
- From the top: A's position is 25th.
- From the bottom: Total students - A's position from top + 1 = 40 - 25 + 1 = 16, so she is 16th from the bottom.
Therefore, A's rank in the entire class is 15th from the top and 26th from the bottom.
Important Questions from Ordering and Ranking (Notes)
- Rakesh is 17th from the right and Ankit is 15th from the left in a line of students. If they interchange their places, the position of Ankit becomes 19th from the left. How many students are there in the line ?
Each of P, Q, R, S, T, U and V has an exam on a different day of a week, starting from Monday and ending on Sunday of the same week. U has an exam on Friday. Only 2 people have exams between U and R. V has an exam immediately before Q and T has an exam immediately after S. Only 2 people have exams between P and Q. Who has an exam on Sunday?
- Seven boxes, A, B, C, D, E, F and G, are kept one over the other but not necessarily in the same order. Only two boxes are kept below E. Only one box is kept above D. Only one box is kept between D and B. G is kept immediately above C. F is kept at some place below A. How many boxes are kept below A?
- Among five toys in a store, toy V is taller than toy M, but not as tall as toy R. Toy J is taller than toy D, but shorter than toy M. Which toy is the tallest in the store?
- The houses of three sisters lie in the same row, but the middle sister does not live in the middle house. In the morning, the shadow of the eldest sister's house falls on the youngest sister's house. What can be concluded for sure?
