Six participants — U, V, W, X, Y and Z — are sitting in two rows of three,…

20202020

Six participants — U, V, W, X, Y and Z — are sitting in two rows of three, with each person facing someone in the other row. X is second to the right of Z. W, who is a neighbour of Y, is sitting diagonally opposite X. V is a neighbour of Z. Y is not at the end of any row. If V and U interchange their positions, who would be the neighbours of U in the new position?

  1. A.

    W and X

  2. B.

    X and Y

  3. C.

    Z and Y

  4. D.

    Z and X

Attempted by 81 students.

Show answer & explanation

Correct answer: D

Step 1 — Build one row. "X is second to the right of Z" places Z and X at the two ends of the same row, with one seat between them. Since "V is a neighbour of Z", V takes that middle seat. So this row reads: Z – V – X.

Step 2 — Build the other row. "Y is not at the end of any row", so Y sits in the middle of the opposite row. "W is the neighbour of Y" and W is diagonally opposite X, so W takes the end of that row that lies diagonally across from X. The only person left, U, takes the remaining end. So this row reads: U – Y – W (or W – Y – U), with U opposite Z.

Step 3 — Apply the interchange. V and U swap seats. U moves into V's old middle seat, which sits between Z and X.

Therefore, after the swap, U's neighbours are Z and X, which is option 4.

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