Analyzing Toy Heights: Step-by-Step Comparison
This problem involves comparing the heights of five toys: V, M, R, J, and D. We need to establish their relative heights based on the given clues to determine which toy is the tallest.
Breaking Down the Clues
Let's list the height comparisons provided:
- Toy V is taller than toy M. This can be written as: $V > M$.
- Toy V is not as tall as toy R. This means toy R is taller than toy V: $R > V$.
- Toy J is taller than toy D. This can be written as: $J > D$.
- Toy J is shorter than toy M. This means toy M is taller than toy J: $M > J$.
Combining the Height Relationships
Now, let's combine these individual comparisons to create a sequence of heights:
- From $V > M$ and $M > J$, we can deduce that V is taller than M, and M is taller than J. So, the order is $V > M > J$.
- We also know $R > V$. Combining this with the previous sequence ($V > M > J$), we get $R > V > M > J$.
- Finally, we have the comparison $J > D$. Adding this to our sequence, we get the complete height order: $R > V > M > J > D$.
Identifying the Tallest Toy
Looking at the combined height order, $R > V > M > J > D$, we can clearly see the tallest toy.
- The toy at the beginning of the sequence is the tallest.
- In this case, toy R is taller than all other toys (V, M, J, and D).
Therefore, toy R is the tallest toy in the store.
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?
- 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?
- 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?
