In the figure above, X and Y represent locations in a district of a certain city where the streets form a rectangular grid. In traveling only north or east along the streets from X to Y, how many different paths are possible?

If a code word is defined to be a sequence of different letters chosen from the 10 letters A, B, C, D, E, F, G, H, I, and J, what is the ratio of the number of 5-letter code words to the number of 4-letter code words?

The business school is planning to construct a new Infinity Hub on its Lake Michigan campus to accommodate students enrolled in its MBA program. The school administration has provided the following guidelines for the building design:

1. The Hub must have capacity for at least 1,800 students at any given time.

2. There must be at least one study room for every 50 students.

3. A separate floor must include individual offices for at least 80 faculty members and administrators.

4. Plan A meets the minimum required percentage of open area in the building.

5. The total construction budget must not exceed $200 million.

Although the earliest surviving Greek inscriptions written in an alphabet date from the eighth century B.C., the fact that the text of these Greek inscriptions sometimes runs from right to left and sometimes from left to right indicates that the Greeks adopted alphabetic writing at least two centuries before these inscriptions were produced. After all, the Greeks learned alphabetic writing from the Phoenicians, and presumably, along with the alphabet, they also adopted the then-current Phoenician practice with respect to the direction of text. And although Phoenician writing was originally inconsistent in direction, by the eighth century B.C. Phoenician was consistently written from right to left and had been for about two centuries.

In the argument given, the two portions in boldface play which of the following roles?

Although the earliest surviving Greek inscriptions written in an alphabet date from the eighth century B.C., a strong case can be made that the Greeks actually adopted alphabetic writing at least two centuries earlier. Significantly, the text of these earliest surviving Greek inscriptions sometimes runs from right to left and sometimes from left to right. Now, the Greeks learned alphabetic writing from the Phoenicians, and in the process they would surely have adopted whatever convention the Phoenicians were then using with respect to the direction of writing. Originally, Phoenician writing ran in either direction, but by the eighth century B.C. it had been consistently written from right to left for about two centuries.

In the argument given, the two portions in boldface play which of the following roles?

Allison always leaves her office at 5.00pm and reaches her hotel in an hour, while Brittany leaves the same hotel sometime after 5, meets Allison and reaches the same office at 6.00pm. On Wednesday, just when Brittany met Allison, she realized she had left her laptop. So she went back to the hotel, picked up her laptop and reached the office late. If Allison and Brittany always travel at constant rates, and it took Brittany exactly five minutes to retrieve her laptop between arriving at the hotel and departing again, at what time did Brittany reach the office on Wednesday?

(1) When Allison and Brittany meet each day, Allison has already covered exactly rd of the distance between the hotel and office.

(2) Brittany always leaves the hotel at exactly 5.30pm

The Venetian Renaissance painter Vittore Carpaccio used sumptuous reds in most of his paintings. Since the recently discovered Venetian Renaissance painting Erato Declaiming contains notable sumptuous reds, it is probably by Carpaccio.

Which one of the following contains a pattern of flawed reasoning most similar to that in the argument above?

The table summarizes the movement of the prices of ten stocks in a portfolio. The percentage change suggests the fluctuation in the price of stock as a function of the price at the end of the previous month. Negative sign suggests that the price decreased. The last column suggests the absolute price of the stock in US dollars on 30th Jun 2016.

16-Jan 16-Feb 16-Mar 16-Apr 16-May 16-Jun

Percentage change in the price at the end of the month (All values are in %)

For each of the following select True if the statement is true based on the information provided. Otherwise select False.­

Doctors have advised Rita, a chocolate freak, not to consume more than 20 chocolates in one day. When she went to the market to buy her daily quota, she found that if she were to buy chocolates from the market-complex, she would have to pay $3 more for the same number of chocolates than she would have spent had she bought them from her uncle Scrooge’s shop, getting two chocolates fewer per dollar at the market complex than at uncle Scrooge’s shop. She finally decided to get them from uncle Scrooge’s shop paying only in one-dollar bills.

Choose for 1 the number of chocolates Rita bought and for 2 the amount she would have paid if she had purchased the chocolates from the market complex. Make only two selections, one in each column.

In Kravonia, the average salary for jobs requiring a college degree has always been higher than the average salary for jobs that do not require a degree. Over the last few years, the number of Kravonians enrolled in college has been growing steadily. Therefore, the number of Kravonians entering the job market who have at least the qualification of a college degree will eventually be significantly higher than it has been over the last few years.

Which of the following, if true, most seriously weakens the argument?