There are exactly six rock bands in this year’s Battle of the Bands: Atrophy, Bionics, C-sharps, Disrupted, Egos, and Fallout. Each band will perform exactly once in one of six time slots, and no bands will perform at the same time. The following conditions apply:
- Fallout does not perform immediately before or immediately after Bionics
- Fallout performs before Atrophy
- Atrophy performs immediately before or immediately after Disrupted
- Egos perform fourth.
1. Which one of the following could be an accurate list of order that the groups perform in the Battle of the Bands
(A) Atrophy, Disrupted, Fallouts, Egos, Bionics, C-sharps
(B) Fallouts, Egos, Bionics, C-sharps, Disrupted, Atrophy
(C) Bionics, Fallouts, Atrophy, Egos, Disrupted, C-sharps
(D) Fallouts, C-sharps, Bionics, Egos, Atrophy, Disrupted
(E) Fallouts, Disrupted, Atrophy, Bionics, Egos, C-sharps
2. If C-sharps perform immediately before Fallouts, then which of the following could be the fifth band to perform?
(A) Egos
(B) Disrupted
(C) Fallouts
(D) Bionics
(E) C-sharps
3. Which of the following CANNOT be true?
(A) Disrupted performs second
(B) Fallout performs third
(C) C-sharps perform third
(D) Bionics performs after Egos
(E) Disrupted performs after Bionics
4. If Atrophy performs sixth, which one of the following must be true?
(A) Fallouts performs first
(B) Bionics perform third
(C) Fallouts perform third
(D) Disrupted performs third
(E) C-sharps perform second
5. Suppose the restriction that Egos must perform fourth is replaced by the restriction that the Egos must perform fifth. If all of the other restrictions remain in effect, and if the C-sharps perform after the Bionics, which band must perform fourth?
(A) Fallouts
(B) Bionics
(C) Disrupted
(D) Atrophy
(E) C-sharps
1) D
2) B
3) C
4) E
5) B
A panel of music historians ranked eight contemporary songwriters – Jackson, King, Lennon, Mitchell, Nicks, Prince, Simon, and Wonder – according to their relative impact on the evolution of the popular song form. No other songwriters were considered, and there were no ties in the final ranking. The ranking of the songwriters met the following conditions:
Nicks was ranked higher than Lennon but lower than Simon.
Prince was ranked lower than both Mitchell and Jackson.
Wonder was ranked lower than Nicks.
Jackson was ranked higher than Simon.
Nicks was ranked higher than King.
1. Which one of the following could represent the ranking of songwriters, listed from highest to lowest?
- (A) Jackson, Simon, King, Mitchell, Prince, Nicks, Lennon, Wonder
- (B) Jackson, Simon, Prince, Nicks, Mitchell, Wonder, Lennon, King
- (C) Mitchell, Simon, Jackson, Prince, Nicks, Lennon, Wonder, King
- (D) Mitchell, Jackson, Simon, Nicks, King, Wonder, Lennon, Prince
- (E) Mitchell, Jackson, Prince, Simon, Lennon, Wonder, Nicks, King
2. Each of the following could be true EXCEPT:
- (A) Wonder was ranked higher than King.
- (B) Lennon was ranked higher than King.
- (C) Mitchell was ranked lower than Lennon.
- (D) Prince was ranked lower than Simon.
- (E) King was ranked higher than Simon.
3. If Simon was ranked fourth, which one of the following must be true?
- (A) Prince was ranked third.
- (B) Jackson was ranked first.
- (C) Wonder was ranked sixth.
- (D) Nicks was ranked sixth.
- (E) Lennon was ranked last.
4. If Prince was ranked fourth, each of the following could be true EXCEPT:
- (A) Nicks was ranked fifth.
- (B) Lennon was ranked seventh.
- (C) Mitchell was ranked second.
- (D) Jackson was ranked third.
- (E) Wonder was ranked sixth.
5. Which one of the following must be true?
- (A) At least two songwriters were ranked lower than Mitchell.
- (B) At least two songwriters were ranked higher than Simon.
- (C) At least two songwriters were ranked higher than Nicks.
- (D) At least two songwriters were ranked lower than Wonder.
- (E) At least three songwriters were ranked higher than Prince.
6. If the condition that Nicks was ranked higher than Lennon but lower than Simon is replaced with the condition that Nicks was ranked lower than both Lennon and Simon, and if all other conditions remain in effect, which one of the following must be true?
- (A) Lennon was ranked no lower than fifth.
- (B) Lennon was ranked no higher than third.
- (C) Simon was ranked no higher than third.
- (D) Nicks was ranked no lower than fifth.
- (E) Simon was ranked no lower than fourth.
Highlight to reveal correct answers: D, E, A, D, C, A