P, Q, R, S, T, U, V and W are sitting around a circular table, facing the centre. P sits third to the right of W and third to the left of Q. S sits second to the right of T. V sits second to the left of R. T is not the neighbour of Q while U is neither a neighbour of T nor of W. Starting from P’s position, if all the eight people are arranged in alphabetical order and in clockwise direction, the seating position of how many members (excluding P) would not change?
Question
P, Q, R, S, T, U, V and W are sitting around a circular table, facing the centre. P sits third to the right of W and third to the left of Q. S sits second to the right of T. V sits second to the left of R. T is not the neighbour of Q while U is neither a neighbour of T nor of W. Starting from P’s position, if all the eight people are arranged in alphabetical order and in clockwise direction, the seating position of how many members (excluding P) would not change?
Solution
The problem is a logical reasoning problem. Here are the steps to solve it:
Step 1: Understand the problem The problem is about 8 people sitting around a circular table. The positions of the people are given in a certain order. We need to rearrange them in alphabetical order and find out how many people's positions do not change.
Step 2: Draw a diagram It's easier to solve this problem by drawing a diagram. Draw a circle and mark 8 positions for the 8 people.
Step 3: Place the people according to the given conditions
- P sits third to the right of W and third to the left of Q. So, place P, W and Q in their respective positions.
- S sits second to the right of T. So, place S and T.
- V sits second to the left of R. So, place V and R.
- T is not the neighbour of Q and U is neither a neighbour of T nor of W. So, place U in the remaining position.
Step 4: Rearrange the people in alphabetical order Now, starting from P’s position, arrange all the eight people in alphabetical order in clockwise direction.
Step 5: Compare the initial and final positions Finally, compare the initial and final positions of the people to find out how many people's positions have not changed.
Without the actual diagram or the final positions of the people, it's not possible to give the exact number of people whose positions have not changed.
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