GMAT Hard Math Questions | Series 21 to 30

Challenging GMAT Practice Questions | 700 800 Level Questions

  1. 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?

    1. 21
    2. 27
    3. 9
    4. 45
    5. 12
    Choice A
    21 numbers exist.

  2. 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?

    1. 100
    2. 210
    3. 150
    4. 200
    5. 105
    Choice D
    In 200 ways.

  3. 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?

    1. 1809
    2. 7569
    3. 9369
    4. 8649
    5. 8289
    Choice C
    9369 such numbers.


  4. 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?

    1. 111
    2. 462
    3. 74
    4. 33
    5. 210
    Choice E
    When x = 210.

  5. 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.
    Choice E
    Statements Together are NOT Sufficient

  6. GMAT Data Sufficiency | Challenging Number Properties & Inequalities Question

    Is x |x| = x2?

    Statement 1: x(1 – x2) < 0
    Statement 2: x(1 – x) < 0
    Choice E
    Statements NOT sufficient.

  7. 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.
    Choice C
    Statements Together Sufficient.

  8. 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.
    Choice C
    Statements TOGETHER sufficient.

  9. 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?

    1. 120
    2. 36,28,800
    3. 3840
    4. 240
    5. 1536
    Choice C
    3840

  10. GMAT Hard Math Questions | Arithmetic | Number Properties DS

    Is the twelve-digit positive integer a perfect square?

    Statement 1: The number comprises only the digits 0, 1, and 2, each written four times.
    Statement 2: The sum of the digits of the twelve-digit number is 12.
    Choice D
    Statements INDEPENDENTLY sufficient.



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