TIL - I 6. DENEME SINAVI İsim Soyisim E-Posta Telefon Q. 1 For x>0, the expression its equal to:Deselect Answer 10³x 10³+x x³ 3x 10x³ Q. 2 Deselect Answer A B C D E Q. 3 Deselect Answer A B C D E Q. 4 Deselect Answer A B C D E Q. 5 Only one of the following statements is correct; identify which one.Deselect Answer Two isosceles triangles with the same vertex angle are necessarily similar Two right triangles with the same area are necessarily similar Two scalene triangles with the same perimeter are necessarily similar Two triangles with the same perimeter are necessarily similar Two isosceles triangles with the same height are necessarily similar Q. 6 A car factory provides the customer with the possibility of choosing six different body colors for a car, two different interior fittings and three different types of alloy wheels. In how many different ways can the car be set up?Deselect Answer 6⁶ 6²³ 36 11 12 Q. 7 The prime factorization of the number (5⁴-5²)²3² is:Deselect Answer 2³3³5⁴ 2⁴3²5⁴ 2⁶3²5⁴ 2⁶3⁴5⁴ 2⁶3⁴5² Q. 8 Consider two spheres in space both of radius 2 and centers P₁ e P₂ respectively. If the distance between P₁ and P₂ is 3, then the intersection of the spheres is:Deselect Answer An ellipse with different semiaxes a circumference the empty set a parabola a point Q. 9 The sum of the ages of father and son is now 60 years. Eighty years from now the father's age will be three times his current age minus twice the son's current age. How old are father and son?Deselect Answer 48 and 12 years old 45 and 15 years old 50 and 10 years 52 and 8 years old 42 and 18 years old Q. 10 The equation log₂(x+5)⁴=4Deselect Answer has the only solution x=2-log₂5 has the solutions x=-3 and x=-7 has the only solution x=-7 has no real solutions has the only solution x=-3 Q. 11 Which of these equations represents a straight line passing through the point (-1,-3) and perpendicular to the bisector of the first quadrant?Deselect Answer 2x+2y+8=0 x-3y-10=0 x+y-4=0 x-5y-2=0 2x+y=0 Q. 12 The figure shows the graph of the function Deselect Answer A B C D E Q. 13 In a restaurant there are 24 square tables with 4 seats each, which can be arranged individually or combined to form a 6-seater table. Forming the same number of 4-seater and 6-seater tables, how many seats are obtained?Deselect Answer 80 72 76 92 84 Q. 14 The equation (2x²-11)(x⁴-x²+5)=0Deselect Answer has only negative solutions has six real solutions has two (and only two) real solutions has no real solutions has at least two real solutions of the same sign Q. 15 The equation (x-1)²+y²=0 defines in the Cartesian planeDeselect Answer a pair of intersecting lines the empty set a pair of parallel lines a point a straight line Q. 16 The least common multiple of monomials 8x³y⁶, 6x²y⁶z², x⁴y³ isDeselect Answer 24x⁴y⁶z² 24x²z² x⁴y³ 24x³y³ x²y³z Q. 17 Chlorine is a mainstay in most swimming pools in the United States, and is used to eradicate bacteria. A bacteria-free pool will usually ensure that swimmers won’t contract a serious illness if they spend time in, and possibly ingest, the water. When chlorine is added to pool water, a chemical reaction occurs whereby the chlorine breaks down into a legion of chemicals that combine to kill bacteria that may be in the water. These chemicals, specifically hypochlorous acid and hypochlorite ion, eliminate bacteria by annihilating and then oxidizing the abhorrent cells. When this chemical reaction occurs, the bacteria are rendered essentially harmless. This chemical reaction doesn’t occur immediately – individual components within chlorine take varying amounts of time to interact with the bacteria, creating an almost time-release-type of kill in the pool water. Chlorine must be regularly replenished. As they react, the hypochlorous acid and hypochlorite ion combine to create a particular acceptable pH level in the pool water. A pH is a measure of the alkalinity and acidity present; a pH value of 7 represents a neutral value, and 7.4 is the pH value of the human tear. The pH ratio must be regularly monitored to ensure a consistent optimum rate – one usually kept within the spectrum of 7 to 8 as measured by a reliable pH measuring kit. As the chemicals in chlorine complete their reactions, they break down and are no longer effective in keeping the pool water neutralized. Additional chlorine must be added to water at specific times. Outdoor pools that are in direct sunlight need to have water added more often because the chemical reaction time for chlorine is increased and its effectiveness is reduced in these conditions. Since the hypochlorite ion is an especially potent chemical capable of fading fabrics and paint, most people are meticulous about rinsing chlorine from potentially affected areas. Although chlorine is inexpensive and widely available, some people find the bleach smell to be repugnant and the distinct aroma present at many swimming pools to be overwhelming. These people may not be able to enjoy aquatic pursuits in those pools that employ chlorine as a cleansing agent. Other people may find that inhaling chlorine at the high levels present around some pools may be difficult to tolerate. Still others may experience skin irritation after swimming in a pool containing chlorine. Although there are other chemicals and compounds available to clean swimming pools, they may be prohibitively expensive or incapable of killing all types of bacteria present in the water. All of the following statements are true about chlorine EXCEPT:Deselect Answer Chlorine’s efficacy is affected by sunlight Chlorine is made up of two chemicals: hypochlorous acid and hypochlorine ion. Chlorine is usually said to be malodorous. Chlorine levels must be routinely assessed in pool water. Chlorine affects the pH level of water. All of all of the following Q. 18 According to the passage, a stable pH value in pool water is dependent upon which of the following:Deselect Answer Ensuring that there is only a minimum amount of bacteria in the water Monitoring and adding chlorine when warranted Paying close attention to the reactions of chemicals in the pool water Ensuring that water is protected from direct sunlight Having a bacteria-free pool Q. 19 The author’s primary purpose is toDeselect Answer offer an unbiased opinion of chlorine’s efficacy. provide an argument for using chlorine. discuss the chemical reaction taking place within a pool. show how chlorine can keep pool water safe. suggest alternatives to keeping a pool clean. Q. 20 Based on the passage, which statement is probably NOT true of chlorine?Deselect Answer It can be harmful if swallowed. Occasional high levels in pool water are probably not harmful. It can kill most common types of pool water bacteria. A pool’s size will dictate the amount needed. It won’t affect the color of the pool water. Q. 21 Based on the information in the passage, which of the following statements is true about keeping pool water neutralized? I. Bacteria are kept at a tolerable level.II. Chlorine is being added at regular intervals. III. The pH level is being constantly monitored.Deselect Answer I only II only III only I and II only II and III only Q. 22 If the dollar amount of sales at Store P was 800,000 dolar for 2006, what was the dollar amount of sales at that store for 2008?Deselect Answer $727,200 $792,000 $800,000 $880,000 $968,000 Q. 23 The figure above represents a rectangular garden with a walkway around it. The garden is 18 feet long and 12 feet wide. The walkway is uniformly 3 feet wide, and its edges meet at right angles. What is the area of the walkway?Deselect Answer 216 196 144 120 96 Q. 24 Approximately what percent of the faculty in humanities are non-adjunct faculty?Deselect Answer 35% 38% 41% 45% 51% Q. 25 A washing machine takes 35 minutes to wash one load of laundry, and in between washing different loads of laundry it takes Derek 2 minutes to unload and another 4 minutes to reload the machine. If the washing machine begins washing one load of laundry at 12:30pm, how many loads of laundry can Derek wash and unload before 6:35pm?Deselect Answer 8 9 10 14 15 Q. 26 Randall purchased a shirt for 19.44 dolars using a 20 dolars bill. If his correct change was returned in only dimes (0.10 dolars) and pennies (0.01 dolars), how many coins could Randall have received?Deselect Answer 9 21 29 37 44 Q. 27 In a science fiction film, there is a scene on the Lunar surface in which an astronaut becomes aware of the arrival of a spaceship by hearing the noise of its engines. This scene is physically inconsistent because:Deselect Answer the acceleration due to gravity is smaller on the Moon compared to the Earth The moon has no atmosphere and the sound cannot propagate in the absence of a suitable medium the laws of physics do not hold on the Moon the temperature of the Moon is so high that the sound cannot propagate The astronaut's space-suit, like all clothing, completely absorbs sound Q. 28 A car, initially at rest, moves along a line with constant acceleration equal to 10m/s^{2}. What will be the velocity of the car after 45m?Deselect Answer 50m/s 30m/s 40m/s 5m/s 20m/s Q. 29 Deselect Answer There is not enough data to give an answer 7 N Little more than 6 N Approximately 5.5 N 30 N Q. 30 Two capacitors have capacitances C₁,C₂ (with C₁>C₂) and charges whose respective absolute values are Q₁,Q₂. One can deduce thatDeselect Answer Q₁ depends on the form of the plates Q₁ = Q₂ if the capacitors are connected in parallel Q₁ > Q₂ if the capacitors are connected in series Q₁ is always greater than Q₂ Q₁ > Q₂ if the capacitors are connected in parallel Q. 31 Consider two blocks of the same material, one of mass 5kg, the other of mass 10kg. Initially, the two blocks have equal temperature 300K. Suppose that they are then both heated to a temperature of 500K. One can assert thatDeselect Answer Both blocks have absorbed the same amount of heat because they are made of the same material The 10kg block has absorbed more heat The heat absorbed depends on the geometrical shape of the two blocks Both blocks have absorbed the same quantity of heat because the increase in temperature has been the same The 5kg block has absorbed more heat Q. 32 A current of 10A passes through a resistor, across which the voltage is 220V. The power dissipated isDeselect Answer 2,2 kJ 2,2 kWh 0,045 A/V 2,2 kW 22 V/A Q. 33 Two planets undertake uniform circular motion around a star. For the two planets, the mass, speed and distance from the star's centre is repectively m,v,r and m',v',r'. If r' = 4r, the ratio T'/T of the periods of revolution of the planets isDeselect Answer 1 4 8 1/2 1/4 Q. 34 In the electric field, which one of the following relations concernig "volt" unit of measure is correct?Deselect Answer 1 volt = 1 coulomb.farad 1 volt = 1 ohm/ampere 1 volt = 1 ohm.ampere 1 volt = 1 farad/coulomb 1 volt = 1 ampere/ohm Q. 35 Whilst travelling by train, a passenger is able to detect the passage of one of the wheels across the joins of the track. The passenger counts 240 in two minutes and each piece of track is 15 metres long. What is the speed of the train (assumed to be constant)?Deselect Answer 15 m/s 30 m/s 80 m/s 60 m/s 45 m/s Q. 36 Two canisters hold equals volumes of gas held at the same temperature and pressure. One contains H₂ (molecular mass equal to 2) and the other N₂ (molecular mass equal to 28).Deselect Answer The molecules of N₂ and those of H₂ have the same speed The number of moles of N₂ is 14 times that of the H₂ The number of H₂ molecules is 14 times that of the N₂ The molecules of N₂ and those of H₂ have the same kinetic energy The quantity in grams of the two gases is equal Q. 37 The "if" keyword, in programming languages like C or Python, is:Deselect Answer a cycle a control an assignment a mathematical operation a logarithmic function Q. 38 A path like /home/paolo/examples.txt is:Deselect Answer an absolute path a file in the trashcan a file in the file system root a missing file a relative path Q. 39 Indicate in which historical period the descriptive geometry has been geometrically codedDeselect Answer Ancient age Middle Ages Prehistory Modern age Contemporary age Q. 40 What kind of representation is used in the figure? Deselect Answer elevated projection section orthogonal projection Isometric orthogonal axonometry Central perspective Q. 41 At what scale is it preferable to represent a complex object with an approximate size of 100x100x100 mm?Deselect Answer scale 1:20 or 1:30 scale 1:50 or 1:100 scale 1:1000 scale 10:1 or 20:1 scale 1:1 or 1:2 Q. 42 What does the program print after execution?Deselect Answer 5 1 4 2 3 1 out of 1