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Answer the question based on the given information. P, Q, R, S, T, U and V are sitting around a circular table, facing the centre. Additional information: i. R is next to the left of U and V is second to the left of R. ii. P is sitting third to the left of T. iii. Q is between S and T. Which of the following is false?

Question

Answer the question based on the given information.

P, Q, R, S, T, U and V are sitting around a circular table, facing the centre.

Additional information:

i. R is next to the left of U and V is second to the left of R.

ii. P is sitting third to the left of T.

iii. Q is between S and T.

Which of the following is false?

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Solution

To answer this question, we need to arrange the people around the circular table based on the given information.

Let's start with the first piece of information: "R is next to the left of U and V is second to the left of R."

We can place U anywhere on the table, then place R to the left of U. Then, we place V two seats to the left of R.

Next, we use the information: "P is sitting third to the left of T."

Since we don't know where T is yet, we can't place P yet. We'll come back to this.

The last piece of information is: "Q is between S and T."

This means that S, Q, and T are sitting next to each other. Since we don't have S or T placed yet, we can't place Q yet. We'll come back to this.

Now, let's look at the table. We have U, R, and V placed. There are four seats left, which must be occupied by P, Q, S, and T.

Since Q is between S and T, we know that these three must take up three of the remaining four seats. The only way this can happen is if they take the three seats to the right of V. This means that P must be in the remaining seat, to the left of V.

Now, we can place P, S, Q, and T. P is to the left of V. S is to the right of V, Q is to the right of S, and T is to the right of Q.

So, the final arrangement is: U, R, V, P, S, Q, T.

Now, let's check the statements:

i. R is next to the left of U and V is second to the left of R. - This is true.

ii. P is sitting third to the left of T. - This is false. P is fourth to the left of T.

iii. Q is between S and T. - This is true.

So, the false statement is: "P is sitting third to the left of T."

This problem has been solved

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