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Ready4

A set of numbers has the property that for any number z in the set, z^{2} and z^{3} are also in the set. If −3 is in the set, which of the following must also be in the set?

I. −27

II. 27

III. 81

 
Ready4

Which of the following is an integer?

  I.

 II.

III.

PREP07 Test 1 Last month 15 homes were sold in Town X. The average (arithmetic mean) sale price of the homes was $150,000 and the median sale price was $130,000. Which of the following statements must be true?I. At least one of the homes was sold for more than $165,000.II. At least one of the homes was sold for more than $130,000 and less than $150,000.III. At least one of the homes was sold for less than $130,000.
PREP07 Test 2 In a certain bathtub, both the cold-water and the hot-water fixtures leak. The cold-water leak alone would fill an empty bucket in c hours, and the hot-water leak alone would fill the same bucket in h hours, where c < h. If both fixtures began to leak at the same time into the empty bucket at their respective constant rates and consequently it took t hours to fill the bucket, which of the following must be true? I. $$0 \lt t \lt h$$ II. $$c\lt t\lt h$$ III.$$ \frac{c}{2}\lt t \lt \frac{h}{2}$$
OG18-数学分册 Which of the following represent positive numbers?I. -3 - (-5)II. (-3)(-5)III. -5 - (-3)
Ready4

Today, Rose is twice as old as Sam and Sam is 3 years younger than Tina. If Rose, Sam and Tina are all alive 4 years from today, which of the following must be true on that day?

I. Rose is twice as old as Sam

II. Sam is 3 years younger than Tina.

III. Rose is older than Tina.

 
The three-digit integer kss is the sum of the two-digit integers ks and rs, where k, r, and s are the digits of the integers. Which of the following must be true?I. k = 2II. r = 9III. s = 5
Magoosh Note: Figure not drawn to scaleGMAT、gmat题库、gmat模考、gmat考满分If x and y are numbers on the number line above, which of the following statements must be true? I. |x+y| < y II. x + y < 0 III. xy < 0
Manhattan If a, b, c, and d are integers and$$ ab^{2}c^{3}d^{4} > 0$$, which of the following must be positive? I. $$a^{2}cd $$II. $$bc^{4}d $$III.$$ a^{3}c^{3}d^{2} $$
PREP07 Test 2 GMAT、gmat题库、gmat模考、gmat考满分The table shows the number of residents in a certain development who are willing to contribute to build a swimming pool, provided the required contribution does not exceed the amount indicated by the resident. The following three amounts are being considered as the required contribution. Which would ensure that more than half of the residents contribute to build the pool? Ⅰ.$33 Ⅱ.$48 Ⅲ.$55
PREP07 Test 2 If 0 < x < 1, which of the following inequalities must be true?Ⅰ. $$x^5 < x^3$$ Ⅱ.$$x^4+x^5 < x^3+x^2$$ Ⅲ. $$x^4-x^5 < x^2-x^3$$
Magoosh Just as the ancient Celtic stories of Arthur had a relationship to Malory's <i style="font-style: italic;">Le Morte d'Arthuri>, then the Muslim tales of the Prophet's <i style="font-style: italic;">Mi'raji> were to Dante's Divine Comedy.
OG18 The symbol $$\Delta$$denotes one of the four arithmetic operations: addition, subtraction, multiplication, or division. If 6$$\Delta3\le3$$, which of the following must be true? I. 2$$\Delta$$2=0II.2$$\Delta$$2=1III. 4$$\Delta$$2=2
The number of defects in the first five cars to come through a new production line are 9, 7, 10, 4, and 6, respectively. If the sixth car through the production line has either 3, 7, or 12 defects, for which of theses values does the mean number of defects per car for the first six cars equal the median?I.3II.7III.12
Ready4

In 1963, Vladimir Nabokov finished his translation of <i zoompage-fontsize="16">Eugene Onegini>, a text that, requiring an excruciating process, and that American critic Edmund Wilson, Nabokov’s friend, declared an execrably poor translation of verse.
OG17 The numbers x and y are three-digit positive integers, and x + y is a four-digit integer. The tens digit of x equals 7 and the tens digit of y equals 5. If x < y, which of the following must be true?I.The units digit of x + y is greater than the units digit of either x or y.II.The tens digit of x + y equals 2.III.The hundreds digit of y is at least 5.
$${10},{000}^{100}$$ is equivalent to which of the following?I. $$({100}^{2})({100}^{100})$$II. $${100}^{200}$$III. $${10}^{400}$$
OG16 OG17 OG18 OG19 OG20 OG2022 If x and y are positive numbers such that x + y = 1, which of the following could be the value of 100x + 200y?I. 80II. 140III. 199
PREP07 Test 1 If two sides of a triangle have lengths 2 and 5, which of the following could be the perimeter of the triangle?I. 9II. 15III. 19
Magoosh Line P has a positive slope and a positive y-intercept. Line Q also has a positive slope and a positive y-intercept. The two slopes and the two y-intercepts are four different numbers, none equal. Lines P & Q have a single intersection point --- what is the full set of possible quadrants in which the intersection point could be?