Directions: Each question or group of questions is based on a passage, graph, table, or set of conditions. In answering some of the questions, it may be useful to draw a rough diagram. For each question, select the best answer choice given.
Two male singers, P and S; two female singers, R and V; two male comedians, T and W; and two female comedians, Q and U, are the eight entertainers who are to perform at the Stuart Theater on a certain night. Each entertainer is to perform alone and only once that night. The entertainers may perform in any order that conforms to the following restrictions:
The performances by singers and the performances by comedians must alternate throughout the evening.
The first performance that evening must be by a female entertainer, and the second performance by a male entertainer.
The final performance must be by a male singer.
1) Which of the following could be the last of the entertainers to perform?
(A) R
(B) S
(C) T
(D) V
(E) W
2) Which of the following could be the first of the entertainers to perform?
(A) P
(B) R
(C) U
(D) V
(E) W
3) If R is to perform fourth, which of the following must perform sixth?
(A) P
(B) S
(C) U
(D) V
(E) W
4) If U is to perform seventh, which of the following must perform first?
(A) Q
(B) R
(C) S
(D) T
(E) V
5) If P is to perform eighth, which of the following must perform second?
(A) R
(B) S
(C) T
(D) V
(E) W
6) If T is to perform third, W must perform
(A) first or fifth
(B) second or fifth
(C) fourth or seventh
(D) fifth or seventh
(E) sixth or seventh
7) If Q is to perform third, V fourth, and W fifth, which of the following must perform sixth?
(A) P
(B) R
(C) S
(D) T
(E) U
Growth unlocks straight to your inbox
You’re optimizing for growth. You need ecom tactics that actually work. Not mushy strategies.
Go-to-Millions is the ecommerce growth newsletter from Ari Murray, packed with tactical insights, smart creative, and marketing that drives revenue.
Every issue is built for operators: clear, punchy, and grounded in what’s working, from product strategy to paid media to conversion lifts.
Subscribe free and get your next growth unlock delivered weekly.
Answer Keys
1 | 2 | 3 |
B | C | D |
4 | 5 | 6 |
A | B | D |
7 | ||
B |



