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Magoosh
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If$$(\frac{1}{2})^{24}(\frac{1}{81})^{k}={{1}\over18^{24}}$$ , then k =
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How many integers k greater than 100 and less than 1000 are there such that if the hundreds and the units digits of k are reversed, the resulting integer is k + 99?
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Magoosh
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The sum of k consecutive integers is 41. If the least integer is -40, then k =
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PREP07 Test 2
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Of the 4,800 voters who voted for or against Resolution K, 1800 were Democrats and 3,000 were Republicans. What was the total number of female voters who voted for Resolution K ?(1) 3/4 of the Democrats and 2/3 of the Republicans voted for Resolution K.(2)$$\frac{1}{3}$$ of the Democrats who voted for Resolution K and $$\frac{1}{2}$$ of the Republicans who voted for Resolution K were females.
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OG19-数学分册
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3, k, 2, 8, m, 3
The arithmetic mean of the list of numbers above is 4. If k and m are integers and $$ k\neq m$$, what is the median of the list?
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OG12
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If line k in the xy-plane has equation y = mx + b, where m and b are constants, what is the slope of k ?(1)k is parallel to the line with equation y = (1 - m)x + b + 1.(2)k intersects the line with equation y = 2x + 3 at the point (2,7).
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OG17
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If the units digit of the three-digit positive integer k is nonzero, what is the tens digit of k?(1)The tens digit of k + 9 is 3.(2)The tens digit of k + 4 is 2.
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PREP07 Test 1
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If k is a positive integer, then 20k is divisible by how many different positive integers?(1) k is prime.(2) k = 7
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OG21 OG2022
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If the units digit of $$\frac{5610.37}{10^{k}}$$ is 6, what is the value of k?
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Magoosh
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If jk $$\neq$$0 and (j, k) lies in the xy-coordinate system, in which quadrant does (j, k) lie?(1) jk $$\lt$$ 0(2) j + k $$\gt$$0
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OG16 OG17 OG18 OG19 OG20 OG2022
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Lines k and m are parallel to each other. Is the slope of line k positive?(1)Line k passes through the point (3, 2).(2)Line m passes through the point (-3, 2).
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In the xy-plane, is the slope of line k positive?(1)Line k passes through the points (-1, -7) and (2, 5).(2)Line k has equation y = 4x - 3.
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Magoosh
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k is an integer from 1 to 9 inclusive. If N = 29736 + k , what is the value of k ?(1) N is divisible by 9(2) N is divisible by 5
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190207
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Two machines of the same model work together and can complete a certain task in k hours. If three machines of this model work together, k -2 hours can complete the same task. k =?
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OG18-数学分册
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The sequence $$s_{1}$$, $$s_{2}$$, $$s_{3}$$, ...$$s_{n}$$,... is such that $$s_{n} = \frac{1}{n} - \frac{1}{n +1}$$ for all integers $$n\ge 1$$. If k is a positive integer, is the sum of the first k terms of the sequence greater than $$\frac{9}{10}$$?(1) k > 10(2) k < 19
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OG19-数学分册
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The sequence $$s_1$$, $$s_2$$, $$s_3$$, ... , $$s_n$$, ... is such that $$s_n= \frac{1}{n} -\frac{1}{n+1}$$ for all integers $$n\geq 1$$. If k is a positive integer, is the sum of the first k terms of the sequence greater than $$\frac{9}{10}$$?
(1) $$k>10$$
(2) $$k < 19$$
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PREP07 Test 1
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List K consists of 12 consecutive integers. If -4 is the least integer in list K, what is the range of the positive integers in list K ?
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PREP07 Test 2
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If xy + k = k and x is not 0, which of the following must be true?
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Magoosh
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Given$$f(x)= {{x}\over{x+1}}$$, for what value k does $$f(f(k))=\frac{2}{3}?$$
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Ready4
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If k is an integer, is k even?
- is not an even integer.
- is an even integer.
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