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300难题
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Exactly 3 deposits have been made in a savings account and the amounts of the deposits are 3 consecutive integer multiples of $7. If the sum of the deposits is between $120 and $170, what is the amount of each of the deposits?
1.The amount of one of the deposits is $49.
2.The amount of one of the deposits is $63.
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300难题
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If m and n are positive integers, what is the value of $$\frac{3}{m}+\frac{n}{4}$$ ?
1.mn=12
2.$$\frac{3}{m}$$ is in lowest terms and $$\frac{n}{4}$$ is in lowest terms.
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300难题
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If x and z are integers: is x + $$z^{2}$$ odd?
1.x is odd and z is even.
2.x -z is odd.
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300难题
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If 1 < d < 2, is the tenths digit of the decimal representation of d equal to 9 ?
1.d + 0.01 < 2
2.d + 0.05 > 2
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300难题
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King School has an enrollment of 900 students. The school day consists of 6 class periods during which each class is taught by one teacher. There are 30 students per class. Each teacher teaches a class during 5 of the 6 class periods and has one class period free. No students have a free class period. How many teachers does the school have?
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300难题
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Pat will walk from intersection X to intersection Y along a route that is confined to the square grid of four streets and three avenues shown in the map above. How many routes from X to Y can Pat take that have the minimum possible length?
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300难题
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The sum of the first 100 positive integers is 5,050. What is the sum of the first 200 positive integers?
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300难题
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Let n and k be positive integers with $$ k\leq n$$. From an n * n array of dots, a k * k array of dots is selected. The figure above shows two examples where the selected k * k array is enclosed in a square. How many pairs (n,k) are possible so that exactly 48 of the dots in the n * n array are NOT in the selected k * k array?
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300难题
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A school supply store sells only one kind of desk and one kind of chair， at a uniform cost per desk or per chair. If the total cost of 3 desks and 1 chair is twice that of 1 desk and 3 chairs, then the total cost of 4 desks and 1 chair is how many times that of 1 desk and 4 chairs?
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300难题
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A car traveled 462 miles per tankful of gasoline on the highway and 336 miles per tankful of gasoline in the city. If the car traveled 6 fewer miles per gallon in the city than on the highway, how many miles per gallon did the car travel in the city?
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300难题
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A certain manufacturer uses the function C (x) = 0.04$$x^{2}$$ - 8.5x + 25,000 to calculate the cost, in dollars, of producing x thousand units of its product. The table above gives values of this cost function for values of x between 0 and 50 in increments of 10. For which of the following intervals is the average rate of decrease in cost less than the average rate of decrease in cost for each of the other intervals?
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300难题
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If C is the temperature in degrees Celsius and F is the temperature in degrees Fahrenheit, then the relationship between temperatures on the two scales is expressed by the equation 9C =5(F - 32). On a day when the temperature extremes recorded at a certain weather station differed by 45 degrees on the Fahrenheit scale, by how many degrees did the temperature extremes differ on the Celsius scale?
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300难题
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In the formula w=$$\frac{P}{\sqrt[t]{v}}$$, integers p and t are positive constants. If w = 2 when v = 1 and if w=1/2 when v = 64, then t =
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300难题 OG20
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A certain truck traveling at 55 miles per hour gets 4.5 miles per gallon of diesel fuel consumed. Traveling at 60 miles per hour, the truck gets only 3.5 miles per gallon. On a 500-mile trip, if the truck used a total of 120 gallons of diesel fuel and traveled part of the trip at 55 miles per hour and the rest at 60 miles per hour, how many miles did it travel at 55 miles per hour?
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300难题 OG17
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Carbon-14 dating reveals that the megalithic monuments in Brittany are nearly 2,000 years as old as any of their supposed Mediterranean predecessors.
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300难题
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The effect of the earthquake that caused most of Port Royal to sink into the Caribbean was like the eruption that buried ancient Pompeii: in each case a slice of civilization was instantly frozen in time.
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300难题
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The spraying of pesticides can be carefully planned, but accidents, weather conditions that could not be foreseen, and pilot errors often cause much larger deposits of spray than they had anticipated.
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300难题
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Indoor air pollution can threaten the health of closely confined farm animals and the workers who tend them and perhaps as well impairs the quality of such farm products like eggs, poultry, and pork.
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300难题 OG17
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Many states, in search of industries that are clean, fast-growing, and pay good wages to skilled workers, are trying to attract high-technology industries.
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300难题 OG17
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Much of the hope for continued improvement of the economy lies in the projection of increasing consumer spending this year.
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