Analytical
NTS Test 1
For question 1 to 4
Three adults—R, S, and V—will be traveling in a van with five children—F, H, J, L, and M. The van has a driver's seat and one passenger seat in the front, and two benches behind the front seats, one bench behind the first. Each bench has room for exactly three people. Everyone must sit in a seat or on a bench, and seating is subject to the following restrictions: An adult must sit on each bench. Either R or S must sit in the driver's seat. J must sit immediately beside M.
Three adults—R, S, and V—will be traveling in a van with five children—F, H, J, L, and M. The van has a driver's seat and one passenger seat in the front, and two benches behind the front seats, one bench behind the first. Each bench has room for exactly three people. Everyone must sit in a seat or on a bench, and seating is subject to the following restrictions: An adult must sit on each bench. Either R or S must sit in the driver's seat. J must sit immediately beside M.
1. Which of the following can sit in
the front passenger seat?
A:
J
B:
L
C:
R
D:
S
E:
V
2. Which of the following groups of
three can sit together on a bench?
A:
F, J, and M
B:
F, J, and V
C:
F, S, and V
D:
H, L, and S
E:
L, M, and R
3. If F sits immediately beside V,
which of the following CANNOT be true?
A:
J sits immediately beside S.
B:
L sits immediately beside V.
C:
H sits in the front passenger seat.
D:
F sits on the same bench as H.
E:
H sits on the same bench as R.
4. If S sits on a bench that is
behind where J is sitting, which of the following must be true?
A:
H sits in a seat or on a bench that is in front of where M is sitting.
B:
L sits in a seat or on a bench that is in front of where F is sitting.
C:
F sits on the same bench as H.
D:
L sits on the same bench as S
For question 5 to 9
The principal of a school is forming a committee. There are to be five members: three teachers, chosen from Mr. A, Ms. B, Ms. C, Mr. D, and Mr. E; and two students, chosen from L, M, N, and O. The composition of the committee must conform to the following conditions: Ms. A will serve only if O is also on the committee. Ms. C will not serve unless Ms. B and L also serve. Neither Mr. D nor Mr. E will serve without the other. If M serves, neither N nor O can serve.
The principal of a school is forming a committee. There are to be five members: three teachers, chosen from Mr. A, Ms. B, Ms. C, Mr. D, and Mr. E; and two students, chosen from L, M, N, and O. The composition of the committee must conform to the following conditions: Ms. A will serve only if O is also on the committee. Ms. C will not serve unless Ms. B and L also serve. Neither Mr. D nor Mr. E will serve without the other. If M serves, neither N nor O can serve.
5. Which of the following is an
acceptable committee?
A:
A, C, D, E, L
B:
B, C, E, L, M
C:
B, D, E, L, O
D:
C, D, E, L, M
E:
D, E, L, M, N
6. How many different committees
could include Mr. A and N?
A.1
B.2
C.3
D.4
E.5
7. If N and O are both on the committee,
who else must be on the committee?
A.A
B.B
C.C
D.D
E.L
8. If M is not on the committee,
each of the following must be on the committee EXCEPT
A.J
B.L
C.O
D.Q
E.R
9. In how many different ways can
the principal select an acceptable committee?
A:
Fewer than 3
B:
3
C:
5
D:
7
E:
More than 7
For question 10 to 13
A contractor will build five houses in a certain town on a street that currently has no houses on it. The contractor will select from seven different models of houses—T, U, V, W, X, Y, and Z. The town's planning board has placed the following restrictions on the contractor: No model can, be selected for more than one house. Either model W must be selected or model Z must be selected, but both cannot be selected. If model Y is selected, then model V must also be selected. If model U is selected, then model W cannot be selected.
A contractor will build five houses in a certain town on a street that currently has no houses on it. The contractor will select from seven different models of houses—T, U, V, W, X, Y, and Z. The town's planning board has placed the following restrictions on the contractor: No model can, be selected for more than one house. Either model W must be selected or model Z must be selected, but both cannot be selected. If model Y is selected, then model V must also be selected. If model U is selected, then model W cannot be selected.
10.If model U is one of the models
selected for the street, then which of the following models must also be
selected?
A.T
B.W
C.X
D.Y
E.Z
11. If T, U, and X are three of the
models selected for the street, then which of the following must be the other
two models selected?
A:
V and W
B:
V and Y
C:
V and Z
D:
W and Y
E:
Y and Z
12. Which of the following is an
acceptable combination of models that can be selected for the street?
A:
T, U, V, X, Y
B:
T, U, X, Y, Z
C:
T, V, X, Y, Z
D:
U, V, W. X, Y
E:
V, W, X, Y, Z
13. If model Z is one model not
selected for the street, then the other model NOT selected must be which of the
following?
A.Y
B.U
C.V
D.W
E.X
For question 14 to 16
Seven children—F, J, K, M, R, S, and T—are eligible to enter a spelling contest. From these seven, two teams must be formed, a red team and a green team, each team consisting of exactly three of the children. No child can be selected for more than one team. Team selection is subject to the following restrictions: If M is on the red team, K must be selected for the green team. If F is on the red team, R, if selected, must be on the green team. R cannot be on the same team as S. J cannot be on the same team as K.
Seven children—F, J, K, M, R, S, and T—are eligible to enter a spelling contest. From these seven, two teams must be formed, a red team and a green team, each team consisting of exactly three of the children. No child can be selected for more than one team. Team selection is subject to the following restrictions: If M is on the red team, K must be selected for the green team. If F is on the red team, R, if selected, must be on the green team. R cannot be on the same team as S. J cannot be on the same team as K.
14. Which of the following can be
the three members of the Red team?
A:
F, J, and K
B:
F, R, and T
C:
J, K, and T
D:
K, M, and R
E:
M, R, and T
15. If M and F are both on the red
team, the green team can consist of which of the following?
A:
J, K, and R
B:
J, S, and T
C:
K, R, and S
D:
K, R, and T
E:
R, S, and T
16. If M is on the red team, which
of the following, if selected, must also be on the red team?
A.F
B.J
C.R
D.S
E.T
For question 17 to 20
A mail carrier must deliver mail by making a stop at each of six buildings: K, L, M, O, P, and S. Mail to be delivered are of two types, ordinary mail and priority mail. The delivery of both types of mail is subject to the following conditions: Regardless of the type of mail to be delivered, mail to P and mail to S must be delivered before mail to M is delivered. Regardless of the type of mail to be delivered, mail to L and mail to K must be delivered before mail to S is delivered. Mail to buildings receiving some priority mail must be delivered, as far as the above conditions permit, before mail to buildings receiving only ordinary mail.
A mail carrier must deliver mail by making a stop at each of six buildings: K, L, M, O, P, and S. Mail to be delivered are of two types, ordinary mail and priority mail. The delivery of both types of mail is subject to the following conditions: Regardless of the type of mail to be delivered, mail to P and mail to S must be delivered before mail to M is delivered. Regardless of the type of mail to be delivered, mail to L and mail to K must be delivered before mail to S is delivered. Mail to buildings receiving some priority mail must be delivered, as far as the above conditions permit, before mail to buildings receiving only ordinary mail.
17. If K is the only building
receiving priority mail, which of the following lists the buildings in an
order, from first through sixth, in which they can receive their mail?
A:
L, K, P, S, O, M
B:
L, K, S, P, M, O
C:
K, L, P, M, S, O
D:
K, P, L, S, O, M
E:
O, K, L, P, S, M
18. If L, M, and S are each
receiving priority mail, which of the following lists the buildings in an
order, from first to sixth, in which they must receive their mail?
A:
K, L, P, S, O, M
B:
L, K, O, P, S, M
C:
L, K, S, P, M, O
D:
M, L, S, P, K, O
E:
S, L, M, P, K, O
19. If the sequence of buildings to
which mail is delivered is O, P, L, K, S, M and if S is receiving priority
mail, which of the following is a complete and accurate list of buildings that
must also be receiving priority mail?
A:
O, L
B:
O, P
C:
P, L
D:
P, M
E:
O, P, L, K
20. If only one building is to
receive priority mail, and, as a result, O can be no earlier than fourth in the
order of buildings, which of the following must be the building receiving
priority mail that day?
A.K
B.L
C.M
D.P
E.S
Answer
Sheet
1
B
11
C
2
D
12
C
3
E
13
B
4
E
14
E
5
C
15
D
6
A
16
B
7
B
17
D
8
D
18
C
9
D
19
B
10
E
20
E