Q. In a line of people, if X is at the front and Y is at the back, which of the following statements is necessarily true?
A.
Y is in front of X
B.
X is behind Y
C.
There are no people between X and Y
D.
X is to the left of Y
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Solution
If X is at the front and Y is at the back, it is necessary that there are no people between them.
Correct Answer:
C
— There are no people between X and Y
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Q. In a linear arrangement of eight people, if person X is at one end and person Y is at the other end, which of the following must be true?
A.
X is to the left of Y
B.
Y is to the right of X
C.
X and Y are adjacent
D.
There are six people between X and Y
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Solution
If X is at one end and Y at the other, there can be six people between them, making this statement true.
Correct Answer:
D
— There are six people between X and Y
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Q. In a linear arrangement of five friends A, B, C, D, and E, A is to the left of B but to the right of C. D is to the left of E. Who is in the middle?
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Solution
The arrangement is C, A, B, D, E. A is in the middle.
Correct Answer:
A
— A
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Q. In a linear arrangement of five friends A, B, C, D, and E, if A is to the left of B and C is to the right of D, which of the following must be true?
A.
A is to the left of C
B.
D is to the right of A
C.
B is to the left of D
D.
E is in the middle
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Solution
Since A is to the left of B and C is to the right of D, we cannot definitively place E without additional information. However, A being to the left of C is a possible arrangement.
Correct Answer:
A
— A is to the left of C
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Q. In a linear arrangement of five people, if D is sitting next to E and F is sitting at one end, which of the following must be true?
A.
D is at one end
B.
E is next to F
C.
F is not next to D
D.
D is not at one end
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Solution
Since F is at one end and D is next to E, D cannot be at one end.
Correct Answer:
D
— D is not at one end
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Q. In a linear arrangement of five people, if E is at one end and A is to the right of E, which of the following must be true?
A.
A is at the end
B.
E is to the left of A
C.
A is to the left of E
D.
E is to the right of A
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Solution
Since E is at one end and A is to the right of E, it is clear that E is to the left of A.
Correct Answer:
B
— E is to the left of A
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Q. In a linear arrangement of five people, if E is to the left of F and G is to the right of F, which of the following is true?
A.
E is to the right of G
B.
F is in the middle
C.
G is to the left of E
D.
E is at one end
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Solution
The arrangement E, F, G satisfies the condition, placing F in the middle.
Correct Answer:
B
— F is in the middle
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Q. In a linear arrangement of four friends, if A is to the left of B and C is to the right of A, who is in the middle?
A.
A
B.
B
C.
C
D.
None of the above
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Solution
The arrangement is A, B, C. A is in the middle.
Correct Answer:
A
— A
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Q. In a linear arrangement of four friends, if P is to the left of Q and R is to the right of P, which of the following must be true?
A.
Q is to the right of R
B.
R is to the left of Q
C.
P is in the middle
D.
Q is to the left of R
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Solution
Since P is to the left of Q and R is to the right of P, R must be to the left of Q.
Correct Answer:
B
— R is to the left of Q
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Q. In a linear arrangement of four people P, Q, R, and S, if P is sitting next to Q and R is sitting at one end, which of the following is a possible arrangement?
A.
R, P, Q, S
B.
S, R, P, Q
C.
Q, P, R, S
D.
P, S, R, Q
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Solution
R can be at one end, and P must be next to Q, making R, P, Q, S a valid arrangement.
Correct Answer:
A
— R, P, Q, S
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Q. In a linear arrangement of four people P, Q, R, and S, if P is sitting next to Q and R is sitting at one of the ends, which of the following is a possible arrangement?
A.
R, P, Q, S
B.
S, R, P, Q
C.
Q, P, R, S
D.
P, S, R, Q
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Solution
R can be at one end, and since P is next to Q, the arrangement R, P, Q, S satisfies all conditions.
Correct Answer:
A
— R, P, Q, S
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Q. In a linear arrangement of seven students, if A is to the left of B, and C is to the right of D, which of the following cannot be true?
A.
A is to the left of C
B.
B is to the right of D
C.
D is to the left of A
D.
C is to the right of B
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Solution
If A is to the left of B, D cannot be to the left of A without contradicting the arrangement.
Correct Answer:
C
— D is to the left of A
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Q. In a linear arrangement of six friends A, B, C, D, E, and F, A is to the left of B but to the right of C. D is to the right of E but to the left of F. Who is in the middle of the arrangement?
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Solution
The arrangement from left to right is C, A, B, E, D, F. A is in the middle.
Correct Answer:
A
— A
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Q. In a linear arrangement, if A is at one end and E is at the other end, which of the following cannot be true?
A.
B is between A and C
B.
D is to the left of B
C.
C is to the right of D
D.
E is to the left of A
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Solution
If A is at one end and E is at the other, E cannot be to the left of A as that would contradict their positions.
Correct Answer:
D
— E is to the left of A
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Q. In a linear arrangement, if E is sitting between A and B, and C is sitting to the left of A, which of the following is true?
A.
C is to the left of E
B.
B is to the right of C
C.
A is to the right of C
D.
E is to the left of A
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Solution
Since C is to the left of A and E is between A and B, it follows that C must also be to the left of E.
Correct Answer:
A
— C is to the left of E
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Q. In a linear arrangement, if G is to the right of H and I is to the left of H, which of the following is true?
A.
G is to the left of I
B.
H is in the middle
C.
I is to the left of G
D.
H is to the right of I
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Solution
Since G is to the right of H and I is to the left of H, it follows that I is to the left of G.
Correct Answer:
C
— I is to the left of G
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Q. In a linear arrangement, if X is at one end and Y is at the other end, and Z is between X and Y, which of the following is true?
A.
Z is at one end
B.
X is to the left of Z
C.
Y is to the right of Z
D.
Both B and C are true
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Solution
Since Z is between X and Y, X is to the left of Z and Y is to the right of Z.
Correct Answer:
D
— Both B and C are true
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Q. In a queue, if T is behind U and V is in front of T, who is at the front of the queue?
A.
U
B.
T
C.
V
D.
None of the above
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Solution
The arrangement is V, U, T. Therefore, V is at the front.
Correct Answer:
C
— V
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Q. In a row of five people, if M is to the left of N and O is to the right of N, which of the following is a possible arrangement?
A.
M, N, O, P, Q
B.
P, M, N, O, Q
C.
N, M, O, Q, P
D.
O, N, M, P, Q
Show solution
Solution
The arrangement P, M, N, O, Q satisfies the condition of M being to the left of N and O being to the right of N.
Correct Answer:
B
— P, M, N, O, Q
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Q. In a row of four chairs, if chair 1 is occupied by A, chair 2 by B, and chair 3 by C, who must be in chair 4?
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Solution
If A, B, and C occupy the first three chairs, then D must occupy chair 4, assuming D is the only one left.
Correct Answer:
A
— D
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Q. In a row of six books, A is placed to the left of B, but to the right of C. D is placed to the right of E, who is to the left of F. Which book is at the extreme right?
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Solution
The arrangement is C, A, B, E, D, F. F is at the extreme right.
Correct Answer:
D
— F
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Q. In a sequence where M is to the right of N and O is to the left of N, which of the following must be true?
A.
M is to the left of O
B.
N is in the middle
C.
O is to the right of M
D.
N is to the right of O
Show solution
Solution
Given that O is to the left of N and M is to the right of N, it must be true that N is to the right of O.
Correct Answer:
D
— N is to the right of O
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