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if $$\frac{1}{2}+\frac{1}{3}+\frac{1}{4}=\frac{13}{x}$$,which of the following must be an integer?I. $$\frac{x}{8}$$II. $$\frac{x}{12}$$III. $$\frac{x}{24}$$
数论 If a and b are integers such that a + b = 5, which of the following is true?I. The product of a and b is odd.II. If a is odd, b is even.III. If a is negative, b is positive.
OG19 OG20 OG2022 The symbol $$\Delta$$ denotes one of the four arithmetic operations: subtraction, multiplication, or division. If 6 $$\Delta$$ 3 $$\le$$ 3, which of the following must be true? I. 2 $$\Delta$$ 2=0 II. 2 $$\Delta$$ 2=1 III. 4 $$\Delta$$ 2=2
The symbol $$\Delta$$ denotes one of the four arithmetic operations: addition, subtraction, multiplication, or division. If 6 $$\Delta 3 \le 3$$, which of the following must be true? I. 2 $$\Delta$$ 2=0 II. 2 $$\Delta$$ 2=1 III. 4 $$\Delta$$ 2=4
OG19 OG20 OG2022 Which of the following statements must be true about the average (arithmetic mean)and the median of 5 consecutive integers? I. The average is one of the integers II. The median is one of the integers III. The median equals the average
OG19-数学分册 If x and y are integers and $$x - y$$ is odd, which of the following must be true? I. xy is even. II. $$x^{2}+y^{2}$$ is odd. Ill. $$(x+y)^{2}$$ is even.
According to the passage, the camel maintains internal fluid balance in which of the following ways?I. By behavioral avoidance of exposure to conditions that lead to fluid lossII. By an ability to tolerate high body temperaturesIII. By reliance on stored internal fluid supplies
OG18-数学分册 A set of numbers has the property that for any number t in the set, t + 2 is in the set. If -1 is in the set, which of the following must also be in the set?I.-3II.1III.5
OG12 OG15 If a, b, and c are consecutive positive integers and $$a < b < c$$, which of the following must be true?I c-a = 2II abc is an even integer.III $$\frac{a+b+c}{3}$$is an integer.
KMFPS If x and y are different prime numbers, each greater than 2, which of the following must betrue?I $${x}+{y} \neq{91} $$II $$x - y$$ is an even integer.III $$\frac{x}{y}$$is not an integer.
According to the author, Feather is best described asI. a modern twentieth-century poetII. a woman poetIII. a Native American poet
Magoosh In the coordinate plane, Line H has a positive slope, and Line J never passes through the first quadrant. Which of the following could be true?I. line J is perpendicular to line HII. line J is parallel to line HIII. line J intersects line H on the x-axis
OG19-数学分册 A set of numbers has the property that for any number t in the set, $$t + 2$$ is in the set. If -1 is in the set, which of the following must also be in the set? I. -3 II. 1 Ill. 5
Ready4

If , which of the following must be true?

  I.

 II.

III. is positive.
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A game is played with a six-sided, regularly numbered die. The player starts with a number equal to 0.1<i>ni>, where <i>n i>is an integer between 1 and 6, inclusive. On each of 20 subsequent rolls, if the number rolled times 0.1 is greater than or equal to the player's current number, the player's current number is incremented by 0.1; if the number rolled times 0.1 is less than the player's current number and is odd, the player's number is decremented by 0.1; if the number rolled times 0.1 is less than the player's current number and is even, the player's number is unaffected. If 55% of the die rolls in a particular game are even, which of the following is a possible final value of that game?

I. 0.8 II. 0.5 III. 0.1
Magoosh A sphere is surrounded by the smallest cylinder that will just contain it. Which of following is a complete set of the points where the cylinder touches the sphere?I. One pointII. Two pointsIII. A Circle
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A set of numbers has the property that for any number in the set, is also in the set. If is in the set, which of the following must also be in the set?

I.

II.

III.

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A set of numbers has the property that for any number in the set, is also in the set. If is in the set, which of the following must also be in the set?

  I.

 II.

III.

Ready4

The passage suggests that the constitutional mandate regarding the establishment of religion is
If the positive integer x is a multiple of 4 and the positive integer y is a multiple of 6, then xy must be a multiple of which of the following?I.8II.12III. 18