Initial Positions Analysis
We are given the initial positions of Rakesh and Ankit in a line:
- Rakesh is 17th from the right end.
- Ankit is 15th from the left end.
Interchange Position Logic
The problem states that Rakesh and Ankit interchange their places. After the interchange, Ankit's new position is 19th from the left.
Since Ankit moved into Rakesh's original spot, this means Rakesh's original position was 19th from the left.
Calculating Total Students
Now we have two pieces of information about Rakesh's original position:
- Original position from the left: 19th
- Original position from the right: 17th
To find the total number of students in the line, we use the formula:
Total Students = (Position from Left) + (Position from Right) - 1
Substituting the values:
Total Students = $19 + 17 - 1$
Total Students = $36 - 1$
Total Students = 35
Important Questions from Ordering and Ranking (Notes)
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?
- A ranks 10th from both the top and the bottom in merit among the girls in her class. B ranks 6th from the top and 16th from the bottom among boys in the same class. If A is immediately ahead of B in merit order, her rank in the entire class would be
- 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?
