GMAT Hard Math Questions | Q-51 Series 11 to 20

GMAT Sample Questions | Must Solve GMAT Practice Questions | 700 800 Level Questions
  1. 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.

    1. I only
    2. I and II only
    3. I and III only
    4. III only
    5. I, II, and III
    Choice E
    All 3 statements are correct.

  2. 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.

  3. 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?

    1. 23
    2. 21
    3. 25
    4. 26
    5. 24
    Choice C
    Least possible value for c is 25.


  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. 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.

    1. 14
    2. 11
    3. 2
    4. 8
    5. 5
    Choice E
    The movie hall sold 5 $7 tickets.

  7. 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.
    Choice D
    Statements are Independently Sufficient to answer the question.

  8. 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?

    1. 153
    2. 153C4
    3. 4896
    4. 2448
    5. 5508
    Choice C
    4896 rectangles can be constructed.

  9. 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?

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

  10. 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.

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