Data Sufficiency

If x is an integer, is y an integer? (1) The average (arithmetic mean) of x, y, and y - 2 is x. (2) The average (arithmetic mean) of x and y is not an integer.

If x and y are positive, then x is what percent of y? (1) 15 is 25 percent of y. (2) x is 10 percent of 2y. This is a DS Butler Question Check the links to other Butler Projects: Problem Solving Butler Critical Reasoning Butler Sentence Correction Butler Reading Comprehension Butler Integrated Reasoning Butler

If x < 0, is y > 0 ? (1) x/y < 0 (2) y - x > 0

Is x 2 𝑥 2 greater than x ? (1) x 2 𝑥 2 is greater than 1. (2) x is greater than -1.

Is the product of a and b equal to 1? (1) a∗b∗a=a (2) b∗a∗b=b M01-36 Experience GMAT Club Test Questions Yes, you've landed on a GMAT Club Tests question Craving more? Unlock our full suite of GMAT Club Tests here Want to experience more? Get a taste of our tests with our free trial today Rise to the challenge with GMAT Club Tests. Happy practicing! GMAT Club Tests Check Our Products Try Free Tests

A certain bookcase has 2 shelves of books. On the upper shelf, the book with the greatest number of pages has 400 pages. On the lower shelf, the book with the least number of pages has 475 pages. What is the median number of pages for all of the books on the 2 shelves? (1) There are 25 books on the upper shelf. (2) There are 24 books on the lower shelf.

In the figure above, D is a point on side AC of ΔABC. Is ΔABC is isosceles? (1) The area of triangular region ABD is equal to the area of triangular region DBC. (2) BD┴AC and AD = DC Show Spoiler

What is the volume of a certain cube? (1) The sum of the areas of the faces of the cube is 54. (2) The greatest possible distance between two points on the cube is 3 3 √ 3 3

A sum of $200,000 from a certain estate was divided among a spouse and three children. How much did the youngest child receive? (1) The spouse received 1/2 of the sum from the estate, and the oldest child received 1/4 of the reminder (2) Each of the two younger children received 12,500 more than the oldest child and 62500 less than the spouse

If x, y and z are positive, is x = y/z^2 ? (1) z= y xz 𝑧 = 𝑦 𝑥 𝑧 (2) z= y x − − √ 𝑧 = 𝑦 𝑥

The inside of a rectangular carton is 48 centimeters long, 32 centimeters wide, and 15 centimeters high. The carton is filled to capacity with k identical cylindrical cans of fruit that stand upright in rows and columns, as indicated in the figure above. If the cans are 15 centimeters high, what is the value of k? (1) Each of the cans has a radius of 4 centimeters. (2) Six of the cans fit exactly along the length of the carton. Show Spoiler

In year X a total of 355 billion dollars was spent for health care in the United States, 30 percent of which was spent by private health insurance companies. Was the amount spent for health care by the federal government's medicare program less than 60 billion dollars? (1) In year X medicare spent more than 1/2, but less than 2/3, of the amount spent by the private health insurance companies for health care. (2) In year X medicare spent 50 billion dollars less for health care than the amount spent by private health insurance companies.

If x, y and z are positive integers, is x - y odd? (1) x = z^2 (2) y = (z - 1)^2

What is the value of r/2 + s/2 ? (1) (r + s)/2 = 5 (2) r + s = 10

Is (x−3 ) 2 − − − − − − − √ =3−x ( 𝑥 − 3 ) 2 = 3 − 𝑥 ? (1) x≠3 𝑥 ≠ 3 (2) −x|x|>0 − 𝑥 | 𝑥 | > 0 Show Spoiler

A clothing manufacturer makes jackets that are wool or cotton or a combination of wool and cotton. The manufacturer has 3,000 pounds of wool and 2,000 pounds of cotton on hand. Is this enough wool and cotton to make at least 1,000 jackets? (1) Each wool jacket requires 4 pounds of wool, and no cotton (2) Each cotton jacket requires 6 pounds of cotton, and no wool

Is (3x + 8)/(x + 2) an integer? (1) x is an integer (2) an integer? (1) x is an integer (2) x = 0

If x is an integer, what is the value of x? (1) –2(x + 5) < -1 (2) – 3x > 9

What is the value of k^2 - k? (1) The value of k - 1/k is 1. (2) The value of 2k –1 is 5 √ 5

If the Lincoln Library's total expenditure for books, periodicals, and newspapers last year was $44,000, how much of the expenditure was for books? (1) The expenditure for books was 20 percent greater than the total expenditure for periodicals and newspapers. (2) The total of the expenditure for books and newspapers was twice the expenditure for periodicals.