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OG12 OG15 OG16
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What is the 25th digit to the right of the decimal point in the decimal form of $$\frac{6}{11}$$
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If the integer n has exactly three positive divisors including, 1 and n, how many positive divisors does $${n}^{2}$$ have
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If xy=165, where x and y are positive integers and x>y, what is the least possible value of x – y ?
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OG15 OG16 OG17
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For the positive integers a, b, and k, $${a}^{k}$$ || b means that $${a}^{k}$$ is a divisor of b, but $${a}^{k+1}$$ is not a divisor of b. If k is a positive integer and $${2}^{k}$$ || 72, then k is equal to
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数论
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If s and t are positive integers such that $$\frac{s}{t}={64.12}$$ which of the following could be the remainder when s is divided by t ?
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 The table above shows the results of a recent school board election in which the candidate with the higher total number of votes from the five districts was declared the winner. Which district had the greatest number of votes for the winner?
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What is the maximum integer value of M for which $$\frac{12!}{2^M}$$ is an integer?
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PREP07 Test 1
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 A vending machine is designed to dispense 8 ounces of coffee into a cup. After a test that recorded the number of ounces of coffee in each of 1,000 cups dispensed by the vending machine, the 12 listed amounts, in ounces, were selected from the data. If the 1,000 recorded amounts have a mean of 8.1 ounces and a standard deviation of 0.3 ounce, how many of the 12 listed amounts are within 1.5 standard deviations of the mean?
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For any number x, [ x ] denotes the greatest integer less than or equal to x. What is the value of $$[-\frac{10}{4}]$$
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20 is what percent of 25?
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Balls with consecutive integers from 0 to x are placed in a bowl. Peter draws a ball from the bowl and records the number. Without replacing the first ball, he draws a second ball from the bowl. If the probability that Peter does NOT draw an odd numbered ball on either draw is $$\frac{12}{42}$$, what integer is on the highest numbered ball?
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What is the 18th digit to the right of the decimal point in the decimal expansion of$$\frac{1}{37}$$ ?
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Polly's kindergarten class has 25 children. If 10 children play in the sandbox, and 12 children play on the jungle gym, and 11 play in neither the sandbox nor the jungle gym, how many do both?
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For each value of y greater than $$2\sqrt{3}$$, the function f(x) is such that the equation f(x) = y has the form $$x=({y^2+12\over{y}})$$Select one value for a and one value for b such that the given information implies f(a) = b. Make only two selections, one in each column.
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Jack joins the bank fresh out of college at age 22 as an Analyst. What is the minimum number of years for Jack (from age 22) before Jack can become a Principal at this same bank?
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OG12 OG15 OG16 OG17 OG18 OG19 OG20 OG2022
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If [x] is the greatest integer less than or equal to x, what is the value of [-1.6] +[3.4]+[2.7]?
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PREP07 Test 1
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Six machines, each working at the same constant rate, together can complete a certain job in 12 days. How many additional machines, each working at the same constant rate,will be needed to complete the job in 8 days?
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OG17 OG18 OG19 OG20 OG2022
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The product of two negative numbers is 160. If the lesser of the two numbers is 4 less than twice the greater, what is the greater number?
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PREP07 Test 2
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For every order, a certain mail-order company charges a shipping fee of $3 plus an additional $2 if the value of the order is over $50 but not over $100 or an additional $3 if the value of the order is over $100. How much greater are the total shipping fees for 2 orders of $75 each than the total shipping fee for 1 order of $150 ?
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PREP07 Test 2
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If w, x, and y are consecutive odd positive integers and w < x < y, which of the following could be equal to y - x - w ?
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