İsim Soyisim
Q. 1

Let A, B, and C be three sets such that A ∪ B = C, where ∪ denotes the union of sets (and ∩ the intersection). If C has
12 elements, whereas A and B have 7 elements each, then
we can say that:Deselect Answer

Q. 2

In Mathland lived a mathematician, Tony, who studied natural numbers for years. The natural numbers in Mathland have the same properties as our natural numbers; in particular they can either be even or odd. Tony discovered a special kind of natural numbers, Tony’s numbers; many contemporary mathematicians believe all
Tony’s numbers are even, but the great Hiyam Smarta does not agree.

This means that Hiyam Smarta believes that:Deselect Answer

Q. 3

We know that some students showed up for today’s test in school, but also that not all students of the school were present.
Therefore we can deduce that:Deselect Answer

Q. 4

Consider the following statements:
. All mathematicians are absent–minded
. Lewis likes to swim
. All people who like to swim are absent–minded
If these statements are true, which of the following statements is also necessarily true?Deselect Answer

Q. 5

In order to comply with the building codes of a certain city, a private house is not deemed habitable if it does not fulfill the required standards for energy and water saving.
If this regulation is always applied it means that:Deselect Answer

Q. 6

The sum of the ages (taken as integer numbers) of ten people of age (i.e. 18 or older) is equal to 380 years.
Therefore we can deduce that:Deselect Answer

Q. 7

A robot is programmed to apply the following instructions in order to move through a maze:

  • If it is possible to move forwards, then move one space forwards
  • If it is not possible to move forwards, then keep turning right until it is possible to move forwards again.

The robot is placed in the square at the bottom left of the maze (marked R on the diagram).

How many of the squares will the robot move through before leaving the maze?

Deselect Answer

Q. 8

A word game involves making words from random letters. Letters in a word can score 1, 2, 3, 4 or 5 points.

  • STALE scores 15 points
  • CHEAT scores 15 points
  • CHEST scores 19 points
  • CHASE scores 16 points
How many points is CHALETS worth?Deselect Answer

Q. 9

My tablet computer can fit 20 apps on the screen. When I hold the tablet in a landscape orientation there are five apps going across and four going downwards. When I rotate the tablet so it is portrait there are four apps going across and five going downwards. The icons then shuffle themselves so they are in the same order, reading from the top left of the screen. Which two icons stay in the same spot on the screen?Deselect Answer

Q. 10

There are four cards, all of which have a number on one side and a colour on the other side. They are placed on the table like this:

Which cards do you need to turn over to check whether the following statement is true?
'If there is an even number on one side of the card then the other side is red.'Deselect Answer

Q. 11

The product of 40 integer numbers is positive. From this information we can deduce that it is necessarily true that:

Deselect Answer

Q. 12

John doesn't believe that Anthony passed the professional certification exam, but he doesn't have any evidence to the contrary.
We can deduce that:

Deselect Answer

Q. 13

As it is true that:
- all sparrows are birds
- all sparrows are small
- all birds are animals
- some animals don't eat leaves
it can be deduced that:Deselect Answer

Q. 14

A couple of months ago NASA asked the scientific community what kinds of research it should conduct when it returns humans to the moon. In doing so, NASA wanted prioritized research objectives for the robotic orbiters and landers that will be used primarily for reconnaissance purposes prior to later explorations by astronauts of the lunar surface. Recommendations made by scientists varied greatly, but they can be summarized. The top priority that scientists have recommended is the development of programmes for lunar data analysis. Next is the exploration of the moon’s south pole, which is called “the Aitken basin,” an impact scar mostly on the moon’s back side. Then comes an instrument network for probing the interior of the moon, and this is followed by rock sample returns, scientifically selected landing sites, and analysis of any icy polar deposits.

From the research recommendations summarized in the passage, it becomes clear that ----.Deselect Answer

Q. 15

One understands from the passage that NASA ----.Deselect Answer

Q. 16

As is clear from the passage, NASA’s purpose in consulting scientists is to ----.Deselect Answer

Q. 17

According to the passage, one of the recommendations made by the scientific community concerns ----.Deselect Answer

Q. 18

It is clearly stated in the passage that astronauts ----.Deselect Answer

Q. 19

Advantages of public transport

A new study conducted for the World Bank by Murdoch University's Institute for Science and Technology Policy (ISTP) has demonstrated that public transport is more efficient than cars. The study compared the proportion of money poured into transport by thirty-seven cities around the world. This included both the public and private costs of building, maintaining and using a transport system.
The study found that the Western Australian city of Perth is a good example of a city with minimal public transport. As a result, 17% of its wealth went into transport costs. Some European and Asian cities, on the other hand, spent as little as 5%. As a consequence, these more efficient cities were able to put the money saved into attracting industry and jobs or creating a better place to live.
Professor Newman, ISTP Director describes Melbourne as two cities: "A European city surrounded by a car-dependent one''. Melbourne's large tram network has greatly reduced car use in the inner city, but the outer suburbs have the same car-based structure as most other Australian cities. The increasing demand for accommodation in the inner suburbs of Melbourne suggests that people now prefer to live there.
Newman believes there is a new, more general way of considering public transport issues. In the past, environmental and social justice were considered before economics. Newman, however, thinks the study demonstrates that "the auto-dependent city model is inefficient and very inadequate in both economic and environmental terms''.
Supporters of the road networks often reject the models of cities with good public transport by saying that these systems would not work in their particular city. One objection is climate. Some people say their city could not make more use of public transport because it is either too hot or too cold. Newman rejects this, pointing out that public transport has been successful in both Toronto and Singapore and, in fact, checks have demonstrated no correlation between the use of cars and the climate.
When it comes to other physical characteristics, road lobbies are in a stronger position. For example, Newman accepts it would be hard for a city with a lot of hills like Auckland to develop a really good rail network. However, he points out that both Hong Kong and Zurich have managed to make a success of their rail systems, even if they have more hills than most cities in the world.
In fact, Newman believes the main reason for choosing one sort of transport instead of another is politics: "the more democratic the process, the more public transport is favored". He considers Portland, Oregon, a perfect example of this. Some years ago, the central government decided to finance the construction of a new road. However, local pressure groups called for a referendum and the money was spent on a railway instead, which worked extremely well. In the years that have followed, more and more rail systems have been put in, dramatically changing the nature of the city.
In the UK, travel times to work had been stable for at least six centuries, and people generally avoided spending more than half an hour travelling to work. Trains and cars initially allowed people to live at greater distances without taking longer to reach their destination. However, public infrastructure did not grow with the increase in urban areas, and this caused enormous congestion problems and much longer commuting times.
Many think that if people have more money they want to live further from the city centre where cars are the only practical means of transport. The example of European cities contradicts that. People are often wealthier than their American counterparts but do not use their cars as much. In Stockholm, car use has actually fallen in recent years as the city has become larger and wealthier. New studies show that developing cities in Asia, such as Jakarta and Bangkok, make more use of the car than wealthy Asian cities such as Tokyo and Singapore. In cities that developed later, the World bank and Asian Development Bank discouraged the building of public transport and people have been forced to depend on cars -- creating the massive traffic jams that characterize those cities.
An alternative proposal is to convert cities that have been built for cars to rail use, by creating urban villages at hundreds of sites, mostly around railway stations.

In the study Melbourne emerges as

Deselect Answer

Q. 20

The use of private transport

Deselect Answer

Q. 21

The ISTP report showed that cities with well-developed public transport

Deselect Answer

Q. 22

Some people who prefer travelling by car do not agree with an increase in public transport because

Deselect Answer

Q. 23

In the case of Portland, the most significant aspect governing the choice of trains wasDeselect Answer

Q. 24
Q. 25
Q. 26
Q. 27

In space consider a point  Q and a plane which is 1 away from Q. The intersection between this plane and the sphere with center Q and radius 2 is

Deselect Answer

Q. 28

By simplifying the expression 

where a and b are two non-zero real numbers different from each other, we obtainDeselect Answer

Q. 29

The least common multiple of monomials 8x³y⁶, 6x²y⁶z², x⁴y³ isDeselect Answer

Q. 30

The prime factorization of the number (2⁵-2³)⁴3² isDeselect Answer

Q. 31
Q. 32

Which of these equations represents a straight line passing through the point (-2,3)  and perpendicular to the bisector of the first quadrant?

Deselect Answer

Q. 33

A solution of the equation  is log₃(2+x)²=6 isDeselect Answer

Q. 34

The figure shows the graph of the function
Deselect Answer

Q. 35

The equation (x-1)²+y²=0 defines in the Cartesian planeDeselect Answer

Q. 36

Only one of the following statements is correct; identify which one.

Deselect Answer