#### GMAT 700 Level Sample Question in Counting Methods

149 is a 3-digit positive integer, product of whose digits is 1 × 4 × 9 = 36. How many 3-digit positive integers exist, product of whose digits is 36?

#### GMAT Hard Math Arithmetic | Permutation Combination - Selections | GMAT Problem Solving

A student is required to solve 6 out of the 10 questions in a test. The questions are divided into two sections of 5 questions each. In how many ways can the student select the questions to solve if not more than 4 questions can be chosen from either section?

#### GMAT 700 800 Level Question | Arithmetic | Counting Methods Problem Solving

How many 6-digit numbers can be formed using the digits {1, 2, 3, ... 9} such that any digit that appears in such a number appears at least twice?

#### GMAT Hard Math | Arithmetic | Number Properties Sample Question

If y is the highest power of a number 'x' that can divide 101! without leaving a remainder, then for which among the following values of x will y be the highest?

#### Geometry | Coordinate Geometry DS Practice | GMAT Challenging Math Question

Does the line L whose equation is y = mx + c cut the x-axis in the positive direction of x-axis?

**Statement 1**: The intercepts of Line K, perpendicular to L, are of the opposite signs.

**Statement 2**: Line L passes through the 4th quadrant.

#### GMAT Data Sufficiency | Challenging Number Properties & Inequalities Question

Is x |x| = x

^{2}?

#### GMAT DS Sample Question | Statistics | Mean Median Range

What is the range of 5 distinct single digit positive integers if their average is 5?

**Statement 1**: Their median is 6.

**Statement 2**: The average of the 3 largest among the 5 numbers is 7.

#### GMAT Challenging Question | Arithmetic | Numbers & Progressions DS

What is the range of 3 positive integers a, b, and c?

**Statement 1**: 21a = 9b = 7c

**Statement 2**: a + 8, b, and c, in that order are in AP.

#### GMAT 650 Level Algebra Question | Polynomials

If a, b, .. , j are real numbers such that (a - 1)

^{2}+ (b - 2)^{4}+ (c - 3)^{6}+ ... + (j - 10)^{20}= 0, what is the value of b × d × f × h × j?

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

Is the twelve-digit positive integer a perfect square?

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