Analytical Reasoning Question No. 20
In a game, exactly six inverted caps stand side by side in a straight line, and each has exactly one paper hidden under it. The caps are numbered consecutively 1 through 6. Each of the papers is painted a single solid color. The colors of the papers are gold, mauve, olive, pink, silver, and white. The papers have been hidden under the caps in a manner that conforms to the following conditions:
1. The pink paper must be hidden under a lower-numbered cap than the olive paper.
2. The silver paper must be hidden under a cap immediately adjacent to the cap under which the mauve paper is hidden.
3. The gold paper must be hidden under cap 5.
1. Which of the following could be the colors of the papers under the caps, in order from 1 through 6?
(A) Gold, white, mauve, silver, pink, olive
(B) Mauve, gold, pink, silver, olive, white
(C) Mauve, silver, pink, white, gold, olive
(D) Olive, white, silver, mauve, gold, pink
(E) Silver, pink, mauve, white, gold, olive
2. If the mauve paper is under cap 4, the silver paper must be under cap
(A) 1 (B) 2 (C) 3 (D) 5 (E) 6
3. A paper of which of the following colors could be under cap 6?
(A) Gold (B) Mauve (C) Pink (D) Silver (E) White
4. If the pink paper is under cap 4, the olive paper must be under cap
(A) 1 (B) 2 (C) 3 (D) 5 (E) 6
5. Which of the following must be true?
(A) The gold paper is under a lower-numbered cap than the white paper.
(B) The olive paper is under a lower-numbered cap than the gold paper.
(C) The pink paper is under a lower-numbered cap than the gold paper.
(D) The pink paper is under a lower-numbered cap than the silver paper.
(E) The silver paper is under a lower-numbered cap than the white paper.
6. If the olive paper is under cap 2, papers of which of the following colors could be under caps immediately adjacent to each other?
(A) Gold and mauve
(B) Gold and pink
(C) Olive and white
(D) Pink and silver
(E) Silver and white
7. If the mauve paper is under cap 1, papers of which of the following colors must be under caps immediately adjacent to each other?
(A) Gold and olive
(B) Gold and white
(C) Pink and silver
(D) Pink and white
(E) Silver and white
