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191020
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f(s)=$$\frac { 1 } { 4 } * s * t ^ { 2 }$$,and s= $$ 4^ { t }$$,so f(64)=?
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190215
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a=$$2^{4}$$,b=$$a^{4}$$,$$2^{x}$$=$$a^{b}$$.x=?
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190415 还原机经选题: 数论&代数
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12! can be divided by $$(4!)^{n}$$ but cannot be divided by $$(4!)^{n+1}$$ .n=?
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If $${x}^{2}={4}$$ and $${y}^{2}={7}$$, then $${x}^{6}-{y}^{4}=$$
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Manhattan
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If $$4^{x} + 4^{-x} = 2$$, which of the following is the value of x?
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Manhattan
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What is the units digit of $$(10 ^{4})(4^{ 5})(3^{ 3})?$$
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PREP07 Test 1
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If $${x}^{4}+{y}^{4}$$ = 100, then the greatest possible value of x is between
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PREP07 Test 2
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If zt < -3, is z < 4 ?(1) z < 9 (2) t < -4
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排列组合
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How many 4-digit positive integers are there in which all 4 digits are even?
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OG12 OG15 OG16
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if $$\frac{(4-x)}{(2+x)}= x$$, what is the value of $${x}^{2} + 3x - 4$$?
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OG16 OG17 OG18 OG19 OG20 OG2022
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Is zp negative?(1) $${p}{z}^{4}< 0$$(2) $$p + {z}^{4} = 14$$
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OG19-数学分册
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Points A, B, C, and D, in that order, lie on a line. If AB= 3 cm, AC= 4 cm, and BD= 6 cm, what is CD, in centimeters?
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300难题
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A merchant purchased a jacket for $60 and then determined a selling price that equaled the purchase price of the jacket plus a markup that was 25 percent of the selling price. During a sale, the merchant discounted the selling price by 20 percent and sold the jacket. What was the merchant`s gross profit on this sale?
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300难题
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Ifn =$$p^{2}$$and p is a prime number greater than 5,what is the units digit of $$n^{2}$$ ?
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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
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An "Armstrong numbe" is an n-digit number that is equal to the sum of the nth powers of its individual digits. For example, 153 is an Armstrong number because it has 3 digits and $$1^{3}+ 5^{3} + 3^{3}$$= 153. What is the digit k in the Armstrong number 1,6k 4 ?
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The buyer of a new home must choose 2 of 4 types of flooring and 2 of 6 paint colors. How many different combinations of type of flooring and paint color are available to the home buyer?
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OG12 OG15 OG16 OG17
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In a certain game, a large container is filled with red, yellow, green, and blue beads worth, respectively, 7, 5, 3, and 2 points each. A number of beads are then removed from the container. If the product of the point values of the removed beads is 147,000, how many red beads were removed?
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OG17
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At a certain food stand, the price of each apple is ￠ 40 and the price of each orange is ￠ 60. Mary selects a total of 10 apples and oranges from the food stand, and the average (arithmetic mean) price of the 10 pieces of fruit is ￠ 56. How many oranges must Mary put back so that the average price of the pieces of fruit that she keeps is￠52?
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[test] - test - test - test - The outer dimensions of a closed rectangular cardboard box are 8 centimeters by 10 centimeters by 12 centimeters, and the six sides of the box are uniformly $$\frac{1}{2}$$ centimeter thick.
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