TOLC-E 2. DENEME SINAVI İsim Soyisim E-Posta Telefon Q. 1 In an interesting clock 12-hour scaled, a large gear which shows the minutes completes a rotation every 48 seconds, and a small gear which shows the hours completes a rotation every 48 minutes. What is angle between them when the time shows 4:40.Deselect Answer 150 153.5 155 157 158.5 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 allTony’s numbers are even, but the great Hiyam Smarta does not agree.This means that Hiyam Smarta believes that:Deselect Answer there is at least one Tony’s number which is not even if a natural number is not a Tony’s number, then it is odd all Tony’s numbers are odd no odd number can be a Tony’s number no even number can be a Tony’s number 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 it is possible that all students of the school have taken the test no student of the school showed up for the test we are not sure whether someone showed up for the test the majority of the students of the school showed up for the test not all students of the school failed to show up for the test, but at least one did Q. 4 Consider the following statements:. All mathematicians are absent–minded. Lewis likes to swim. All people who like to swim are absent–mindedIf these statements are true, which of the following statements is also necessarily true?Deselect Answer All absent–minded people like to swim Lewis is a mathematician All absent–minded people are mathematicians Lewis is absent–minded All mathematicians like to swim 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 all private houses which fulfill the standards for water saving also fulfill the standards for energy saving if a private house fulfills the required standards for energy and water savings, then certainly it will be considered habitable fulfilling the required standards for water and energy saving fulfilling the required standards for water and energy saving is a sufficient condition to be considered habitable . there are private houses which do not fulfill the required standards for water saving but are considered habitable 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 all ten people must be younger than 40 if one person is younger than 20, then at least one of the others is older than 40 if one person is older than 40, then at least one of the others is younger than 20 at least one person is 39 years old or older all ten people are at least 19 years old 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 6 8 9 10 11 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 19 20 21 22 23 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 1-20 7-14 5-15 10-11 19-20 Q. 10 The circle graph that shows preferred shopping days of United States shoppers.If the shoppers with no preference could be persuaded to shop on Wednesdays, what would be the new angle measure of the Wednesday section of the graph?Deselect Answer 25 72 76 90 100 Q. 11 The product of 40 integer numbers is positive. From this information we can deduce that it is necessarily true that:Deselect Answer at least two factors are negative 20 factors are positive and 20 factors are negative the number of positive factors is either zero or an even number all factors are positive 2 factors are positive and 38 factors are negative 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 it is 99% certain that Anthony didn't pass the professional certification exam John doesn't have any evidence either of the fact that Anthony passed the professional certification exam or of the fact that he didn't pass the professional certification exam Anthony is certainly among those who didn't pass the professional certification exam John has evidence that Anthony didn't pass the professional certification exam if someone passed the professional certification exam, it wasn't Anthony Q. 13 As it is true that:- all sparrows are birds- all sparrows are small- all birds are animals- some animals don't eat leavesit can be deduced that:Deselect Answer Some small birds eat leaves At least one species of bird doesn't eat leaves All small animals are sparrows Some sparrows don't eat leaves All sparrows are small animals Q. 14 (text for Q.14 - 15 - 16 - 17 - 18)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 there is still a lot that has to be learned about the moon scientists are extensively familiar with the structure of the moon the exploration of the lunar surface is not so urgent as understanding the inner structure of the moon the scientific community does not regard NASA’s objectives about the moon as feasible NASA is determined to make the moon a new base for space exploration Q. 15 One understands from the passage that NASA ----.Deselect Answer and scientists have conflicting research objectives about the moon has already developed a multi-purpose research programme for the moon always consults the scientific community, but seldom takes its advice into consideration is planning to send robots to the moon before it sends astronauts has been indifferent to various recommendations made by scientists Q. 16 As is clear from the passage, NASA’s purpose in consulting scientists is to ----.Deselect Answer make sure that its programmes for lunar data analysis are supported by them learn whether the moon has water deposited as ice under its poles find out about the kind of research which is primarily important for lunar exploration encourage them to focus their attention on a full study of the Aitken basin give them the opportunity to discuss their research results about the moon Q. 17 According to the passage, one of the recommendations made by the scientific community concerns ----.Deselect Answer the scientific specification of the locations where robots or astronauts can land the problems related to the working of the robots orbiting the moon or landing on the surface the analysis of the rock samples that will be taken from the Aitken basin the tasks that will be performed by the astronauts when they explore the moon’s south pole the question of how NASA can benefit from the results obtained from lunar explorations Q. 18 It is clearly stated in the passage that astronauts ----.Deselect Answer will use a variety of instruments only to learn about the interior of the moon will be sent to the moon to investigate the lunar surface will, in the first place, select a suitable spot for landing their craft are expected to discover icy deposits under the south pole have been trained to perform lunar data analysis Q. 19 (text for Q.19 - 20 - 21 - 22 - 23)Advantages of public transportA 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 asDeselect Answer a European city a place where people prefer to live a city with a growing demand for car parks a city with an efficient outer suburban tram system a city where people use two opposing modes of transport Q. 20 The use of private transportDeselect Answer has caused enormous traffic problems in Singapore has created hundreds of urban villages is more common among rich Europeans was supported in some Asian cities by banks has increased recently in Stockholm Q. 21 The ISTP report showed that cities with well-developed public transportDeselect Answer spent less money on transport spent more money on transport offered people better jobs were a good example to other cities were less well-organized Q. 22 Some people who prefer travelling by car do not agree with an increase in public transport becauseDeselect Answer it is bad for the environment it didn't work in Hong Kong and Zurich it didn't work in Toronto and Singapore there aren't enough hills in their cities it is not compatible with typical weather conditions Q. 23 In the case of Portland, the most significant aspect governing the choice of trains wasDeselect Answer the building of more roads government decisions financial issues the demands of the inhabitants dramatic changes in the city Q. 24 What is the simplest form of the following expression if x=12 and y=18Deselect Answer 60√2 60√3 180 360 180√3 Q. 25 |3-4x|≤9 What is the sum of the solution of the x which is an integer?Deselect Answer -2 -1 0 3 5 Q. 26 Deselect Answer the two equations have no common solutions the set of solutions of B) is included in the set of solutions of A) the two equations have two solutions in common the set of solutions of A) is included in the set of solutions of B) the two equations have the same set of solutions 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 isDeselect Answer a point a parable an ellipse with different semiaxes a circumference the empty set Q. 28 By simplifying the expression where a and b are two non-zero real numbers different from each other, we obtainDeselect Answer (a-b)/(a+b) a(a-b) a-b 1/a 1 Q. 29 Deselect Answer x x/5 5x √(5x) (√5) x Q. 30 The prime factorization of the number (2⁵-2³)⁴3² isDeselect Answer 2⁴3² 2¹²3⁶ 2⁴3⁴ 2³²3¹² 2⁸3² Q. 31 Deselect Answer A B C D E 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 x-2y+8=0 2x+2y-2=0 4x+5y=0 x+y+1=0 x-8y-6=0 Q. 33 A solution of the equation is log₃(2+x)²=6 isDeselect Answer x=log₃ 2 x=25 x=1 x=3³-log₃ 2 x=log₂3 Q. 34 All natural numbers are integers. No negative numbers are odd. No irrational numbers are even. Every even number is a composite number Which of the above statements are (T) and which are false (F) respectivelyDeselect Answer T,F,T,F T,T,T,T T,F,T,T T,T,T,F F,F,T,F Q. 35 Circle P has centre (−4, 9) and radius 2 units, circle Q has equationx² + y² −2x + 6 y +1=0. What is the closest distance between them?Deselect Answer 8 10 11 13 15 Q. 36 Only one of the following statements is correct; identify which one.Deselect Answer Two parallelograms with the same area are necessarily similar Two right triangles with proportional legs are necessarily similar Two isosceles triangles with the same height are necessarily similar Two scalene triangles with the same area are necessarily similar Two rectangles with the same perimeter are necessarily similar 1 out of 1