GMAT Hard Math Questions | Number Properties

Must Solve GMAT Number Theory Questions | 700 800 Level Questions

Must solve GMAT practice questions in Number Theory and Number Properties. A good number of questions in the GMAT quant section appear from this topic. It is a core topic. Includes concepts such as LCM, HCF, Factors, number of factors, reminders, divisors, factorial, prime numbers, composite numbers, relatively prime numbers. Focus on understanding the basics and principles behind each of the concepts. In short, it is not just sufficient to know how to find the LCM of two or more numbers - you also need to know what LCM actually means and in what scenario will one find the LCM of numbers.

  1. GMAT Hard Math Data Sufficiency Question

    Is x3 > x2?

    Statement 1: x > 0
    Statement 2: x < 1
    Choice B
    Statement (2) alone is sufficient

  2. GMAT Hard Math Question | Number Properties DS Practice

    What is the remainder when the positive integer x is divided by 6?

    Statement 1: When x is divided by 7, the remainder is 5.
    Statement 2: When x is divided by 9, the remainder is 3.
    Choice E
    Statements Together NOT Sufficient


  3. 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?

    1. -12
    2. -18
    3. -24
    4. -36
    5. -48
    Choice D
    The minimum possible value for xy is -36.

  4. 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)?

    1. 90
    2. 63
    3. 34
    4. 87
    5. 62
    Choice C
    34 such four-digit numbers exist.

  5. GMAT Challenging Math Question | Arithmetic | Number Properties DS Practice

    Is |x| > x?

    Statement 1: x2 + y2 = 4
    Statement 2: x3 + y2 = 0
    Choice C
    Statements Together are Sufficient.

  6. GMAT Hard Math Question | Algebra & Numbers | 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?

    1. 5
    2. 2
    3. 9
    4. 3
    5. 7
    Choice D
    3 gift hampers did not have $5 certificates.

  7. 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})?

    Statement 1: 20 < x < 30
    Statement 2: y = 10
    Choice B
    Statement 2 ALONE is sufficient.

  8. 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.

  9. 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.

  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.

  11. GMAT 650 Level Sample Question | Arithmetic DS | Number Properties

    If a and b are positive integers, is (a + b) prime?

    Statement 1: 13a = 43b
    Statement 2: 8a = 15b
    Choice A
    Statement 1 ALONE sufficient.

  12. GMAT Hard Math Arithmetic - Counting Methods | GMAT Problem Solving

    What is the sum of all 3-digit positive integers such that all the digits of each of the number is even?

    1. 55,500
    2. 1300
    3. 44,400
    4. 247,275
    5. 54,400
    Choice E
    54,400

  13. GMAT Challenging Math Question | Arithmetic | Number Properties - Remainders

    What is the least number that when divided by 44 leaves a remainder 31, when divided by 56 leaves a remainder 43, and when divided by 32 leaves a remainder 19?

    1. 2464
    2. 2477
    3. 2451
    4. 616
    5. 603
    Choice C
    2451

  14. GMAT Data Sufficiency | Number Properties

    What is the value of (m + n) if m and n are positive integers?

    Statement 1: m2 – n2 = 105
    Statement 2: Neither m nor n is divisible by 8.
    Choice E
    Data Insufficient.

  15. GMAT Number Properties Practice | 650 Level Question | Factors Problem Solving

    What is the product of all the factors of the cube of a positive integer 'n' if the product of all the factors of square of n is n3?

    1. n4
    2. n6
    3. n9
    4. n5
    5. Cannot be determined
    Choice B
    n6

  16. GMAT Algebra Practice Question | Equations & Numbers PS

    If x and y are non-negative integers such that 4x + 7y = 68, how many values are possible for (x + y)?

    1. 11
    2. 3
    3. 5
    4. 17
    5. 14
    Choice B
    3 Values.



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