List of practice Questions

Column A: \(p^4 - p^6\)
Column B: \(p^3 - p^5\)

A scientist will perform six experiments - P, R, T, X, Y, and z - during a three-month period, August through October. In each of the three months, exactly two of the experiments will be performed. Each experiment will start on the first day of a month and be completed during that month, The order in which the experiments are performed will also be governed by the following restrictions:
R must be performed in August or in September.
T must be performed in September or in October.
T cannot be performed in the same month in which X is performed.
X must be performed in an earlier month than the month in which Z is performed.

A seating arrangement is being planned for a group of eight people - three women: J, K, and L; two men: N and O ;and three children: R, S, and T, Each of the eight will sit at exactly one of three tables according to the following conditions:
No table can have more than three people sitting at it .
Each table must have one of the children sitting at it .
O and S must sit at the same table as each other.
K and L cannot sit at the same table as each other.
N and R cannot sit at the same table as each other.

A library is equipped with a system of pneumatic tubes for sending documents from one to another of exactly six departments-G, H, L, M, S, and T. A tube line is a pair of tubes that connects one department with exactly one other department, with documents moving in one direction in one tube and in the opposite direction in the other tube. The library's system consists of the following seven tube lines and no others.
Line 1 connects H and L.
Line 2 connects H and S.
Line 3 connects L and T.
Line 4 connects S and T.
Line 5 connects M and T.
Line 6 connects L and M.
Line 7 connects G and H.
Use of the system is subject to the following restrictions:
Documents to be sent between departments that are not connected by a tube line can be transferred from one line to another at departments served by two or more lines, until the document reaches its destination.
A document cannot use any tube line more than once on its way to its destination, nor can the document return to its department of origin on its way to its destination.

Eight figure skaters -four women: Fiona, Gloria, Heidi, and Jill; and four men: Ravi, Shigeru, Toby, and Vernon-will participate in a one-day skating exhibition consisting of four consecutively performed sets - set 1 through set 4. Each set will be performed in exactly one pair of skaters, one man and one woman. Each skater will perform by exactly one of the sets, subject to the following constraints:
Ravi skates in an earlier set than Vernon does.
Fiona skates in either set 1 or set 4.
Jill does not skate with Toby.
Shigeru skates with either Fiona or Gloria.

Neither the Sami nor the Kephrian delegations attended the international conference. Beforehand, the delegations of Daqua and Kephria, allies whose governments had grievances against Tessia, officially announced that one or both of the two would stay away if the Tessian delegation attended the conference. In response, the Sami delegation officially announced that it would definitely attend if both the Daquan and Kephrian delegations stayed away.
If the statements given are all true and all the delegations adhered to their official announcements, it must also be true that the

On turning 65 years old, everyone living in the town of Malton becomes eligible to receive a card that guarantees discounts. Census records for 1990 show that 2,450 inhabitants of Malton turned 64 in that year. Yet, in 1991 over 3,000 people applied for and properly received discount cards. So clearly some of Malton's population growth between 1990 and 1992 must be attributable to migration into the city by people in their mid-60's.
Which of the following is an assumption on which the argument depends?

Despite a dramatic increase in the number of people riding bicycles for recreation in Parkville, a recent report by the Parkville Department of Transportation shows that the number of accidents involving bicycles has decreased for the third consecutive year.
Which of the following, if true during the last three years, best reconciles the apparent discrepancy in the facts above?

Do strong electric currents, by means of the electromagnetic fields that accompany them, cause cancer in people who live and work nearby? Telephone line workers, who work near such currents every day, can provide a test case. They show elevated levels of brain cancer, therefore, the hypothesis of electromagnetic causation is supported. Which of the following if true, most seriously weakens the argument?

Roger: Reading a lot as a child causes nearsightedness-difficulty seeing things at a distance.
Louise: I disagree. Any correlation between nearsightedness and reading results from the fact that children who have trouble seeing things at a distance are likeliest to prefer those activities, such as reading, that involve looking at things close up.
Louise disputes Roger's claim by

Years ago, consumers in Frieland began paying an energy tax in the form of two Frieland pennies for each unit of energy consumed that came from nonrenewable sources. Following the introduction of this energy tax, there was a steady reduction in the total yearly consumption of energy from nonrenewable sources.
If the statements in the passage are true, then which of the following must on the basis of them be true?

CATHOLIC:

OSTRACIZE:

LOATH:

VITIATE:

LAVISH:

VITUPERATIVE: