GMAT MINI TEST

Choose the correct option:
At 10 am, Bob started driving from his office at a constant speed. At 11:30 am, Chad started from the same place, in pursuit of Bob and overtook Bob at 1 pm and thereafter continued driving for 2 more hours. By what percentage should Chad reduce his speed so that Bob can catch up with him 8 hours after he overtook Bob?

Data Sufficiency:
In a locality, 25% of the people do not like to watch sports; of those who do not like to watch sports, 66.7% do not like to travel either. Can the number of people who do not like to travel be 35?

1. 55 people like to travel and also like to watch sports
2. The number of people in the locality is 240

Choose the correct option:
Three-digit numbers are formed using the digits 1 to 6 such that each digit is used only once. How many three-digit numbers are possible if the digits in the hundreds’ place is greater than the digit in the tens’ place, which is again greater than the digit in the units’ place?

How many integers N in the set of integers (1, 2, 3 … 100) are there such that N² + N³_­ is a perfect square?

Data Sufficiency:
In a rectangular cuboid, each side of the solid has an integer length. What is its volume?
1. Areas of two faces of the solid are 4 sq. units and 20 sq. units respectively.
2. Areas of two faces of the solid are 4 sq. units and 5 sq. units respectively.

Suppose N is an integer such that the sum of the digits of N is 2, and 10⁹ < N < 10¹⁰. How many values of N are possible?

What least natural number should be multiplied to 840 to convert it into a perfect square?

A committee consists of n women and k men. In addition, there are 4 alternates, 2 of whom are women. If one of the committee member selected at random is to be replaced by one of the alternates, also selected at random, what is the probability that the number of women on the committee will increase?  

1. n + k = 12
2. k/n = 1/3

Three vertices of a parallelogram, taken in order, are (a+b, a-b), (2a+b, 2a-b) and (a-b, a+b). What are the coordinates of the fourth vertex?

The numbers 3, 11, 7, a, 15, 2, 13, 21 and 6 have a median value of 7. Which of the following cannot be a possible value of a?

Is one of X or Y a fraction?

1. X² Y³ = 8
2. X is rational.

A salesman gets a fixed salary of Rs 5000 and a commission of 5% on sales above $10000 per month. If, instead, he got a fixed salary of  $6000 and a commission of 4% on sales above $8000, he would have had $1040 more salary at the end of the month. Which of the following can be his sales (in dollars)?

I. $9000

II. $12000

III. $14000

Choose the correct version of the underlined part of the sentence:

During his geography presentation, the student used a map to present direction sense, for not everyone in the audience was knowledgeable that winds are named according to the direction from which they come.

Choose the correct version of the underlined part of the sentence:

There is a growing demand among the people in the country for a public vote that allows voters to propose and pass laws, as well as to repeal them.

Choose the correct version of the underlined part of the sentence:

Green arboreal lizards, also known as chameleons, have recently become important to biologists as an excellent animal for laboratory studies of the interaction between stimuli with hormonal changes.

Choose the correct version of the underlined part of the sentence:
The supply of oil being finite has become an economical consideration of the greatest magnitude for all countries of the world which rely on fossil fuels for industrialization.

Choose the correct version of the underlined part of the sentence:

The auk, which nests on the rocky ledges of sea cliffs, lays an egg that is extremely pointed and so, if accidentally kicked, will roll in a circle rather than straight over the edge

Choose the correct version of the underlined part of the sentence:

Coming to be regarded as a miracle food in the 1980s, it was a staple of the Mediterranean diet even in antiquity; the olive oil consumed in the United States increased steadily ever since, and may surpass that of Greece by next year.

Choose the correct version of the underlined part of the sentence:

A new test for AIDS has proved helpful in eliminating blood, contaminated with the virus, from the nation’s blood supply.

Some animals, such as dolphins, dogs, and African grey parrots, seem to exhibit cognitive functions typically associated with higher-order primates such as chimpanzees, gorillas, and humans. Some parrots, for example, have vocabularies of hundreds of words that they can string together in a comprehensible syntax. This clearly shows that humans and primates are not the only animals capable of using language to communicate. One parrot, named Alex, has been known to ask to be petted or kissed and will exhibit aggression if the gesture offered is not the specific one requested.

Which of the following, if true, would most strengthen the conclusion above?

Antarctic seals dive to great depths and stay submerged for hours. They do not rely solely on oxygen held in their lungs, but also store extra oxygen in their blood. Indeed, some researchers hypothesize that for long dives these seals also store oxygenated blood in their spleens.

Each of the following, if true, provides some support for the researchers’ hypothesis EXCEPT:

Five years ago, during the first North American outbreak of the cattle disease CXC, the death rate from the disease was 5 percent of all reported cases, whereas today the corresponding figure is over 18 percent. It is clear, therefore, that during these past 5 years, CXC has increased in virulence.

Which one of the following, if true, most substantially weakens the argument?

One year ago a local government initiated an antismoking advertising campaign in local newspapers which it financed by imposing a tax on cigarettes of 20 cents per pack. One year later the number of people in the locality who smoke cigarettes had declined by 3 percent. Clearly, what was said in the advertisements had an effect, although a small one, on the number of people in the locality who smoke cigarettes.

Which one of the following, if true, most helps to strengthen argument?

The noise caused by airplanes during takeoff and landing imposes a large burden on people who live or work near airports. When airports operate late at night or early in the morning, the disturbance can disrupt normal sleeping patterns, even leading to severe sleep deprivation disorders. When the flight paths of airplanes lie too close to the ground, the resulting noise interferes with work performance in nearby businesses and the peaceful enjoyment of life by residents in the proximity. However, the operation of an airport, unlike a neighbor who simply plays music too loudly, provides a valuable benefit to the surrounding community, in the form of convenient transportation for both personal and economic purposes. Thus the only option is to establish standards for the reasonable operation of airports and fine those that violate the guidelines.

The bolded phrase plays which of the following roles in the argument above?