#### GMAT 700 Level Sample Question in Statistics

Consider a set S = {2, 4, 6, 8, x, y} with distinct elements. If x and y are both prime numbers and 0 < x < 40 and 0 < y < 40, which of the following MUST be true?

I. The maximum possible range of the set is greater than 33.

II. The median can never be an even number.

III. If y = 37, the average of the set will be greater than the median.

#### GMAT Hard Math Algebra - Absolute Values | GMAT Problem Solving

If x and y are integers and |x - y| = 12, what is the minimum possible value of xy?

#### GMAT Challenging Question | Statistics Problem Solving

Three positive integers a, b, and c are such that their average is 20 and a ≤ b ≤ c. If the median is (a + 11), what is the least possible value of c?

#### GMAT Hard Math | Arithmetic | Permutation Combination Sample Question

How many four-digit positive integers exist that contain the block 25 and are divisible by 75. (2250 and 2025 are two such numbers)?

#### GMAT Challenging Math Question | Arithmetic | Number Properties DS Practice

Is |x| > x?

**Statement 1**: x^{2}+ y^{2}= 4

**Statement 2**: x^{3}+ y^{2}= 0

#### 700 800 Level GMAT Word Problem | Number Properties & Equations Problem Solving Question

A movie hall sold tickets to one of its shows in two denominations, $11 and $7. A fourth of all those who bought a ticket also spent $4 each on refreshments at the movie hall. If the total collections from tickets and refreshments for the show was $124, how many $7 tickets were sold?

__Note__: The number of $11 tickets sold is different from the number of $7 tickets sold.

#### GMAT DS Sample Question | Geometry | Triangles

Is the triangle ABC right angled at B an isosceles triangle?

**Statement 1**: All 3 sides are integers.

**Statement 2**: The square of the hypotenuse is twice the product of the other two sides.

#### GMAT 700 800 Level Question | Coordinate Geometry & Permutation Combination

Rectangle ABCD is constructed in the xy-plane so that sides AB and CD are parallel to the x-axis. Both the x and y coordinates of all four vertices of the rectangle are integers. How many rectangles can be constructed if x and y coordinates satisfy the inequality 11 < x < 29 and 5 ≤ y ≤ 13?

#### GMAT Hard Math Question | Algebra | Difficult Equations Question

Susan invited 13 of her friends for her birthday party and created return gift hampers comprising one each of $3, $4, and $5 gift certificates. One of her friends did not turn up and Susan decided to rework her gift hampers such that each of the 12 friends who turned up got $13 worth gift certificates. How many gift hampers did not contain $5 gift certificates in the new configuration?

#### GMAT Hard Math Questions | Arithmetic | Number Properties DS

x is a two-digit positive integer. y is obtained by multiplying the tens place of x by 2. Is y > \\frac{x}{6})?

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