GMAT Maths Questions | 1 to 10

Q51 GMAT quant questions in both problem solving and data sufficiency that you should solve to crack the GMAT quant section. These are hard math questions and include many 700 800 level GMAT quant sample questions. Detailed explanatory answers and solution videos are provided all of these practice questions. These GMAT Math Questions cover all 3 areas of the GMAT Quant Syllabus tested in the actual GMAT exam viz., Arithmetic, Algebra, and Geometry. Includes a fair dose of word problems.

1. 700 Level GMAT Sample Question in Inequalities & Polynomials

   If x is a positive integer such that (x - 1)(x - 3)(x - 5)....(x - 93) < 0, how many values can x take?

   1. 47
   2. 23
   3. 46
   4. 21
   5. 22

   Correct AnswerChoice B
   x can take 23 integer values.

   Solution Video Solution

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2. GMAT Hard Math Data Sufficiency Question

   Is x³ > x²?

   Statement 1: x > 0
   Statement 2: x < 1

   Correct AnswerChoice B
   Statement (2) alone is sufficient

   Solution Video Solution

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3. GMAT Data Sufficiency Question | Inequalities & Exponents

   If m and n are non-zero integers, is mⁿ > nⁿ?

   Statement 1: |m| = n
   Statement 2: m < n

   Correct AnswerChoice A
   Statement (1) alone is sufficient

   Solution Video Solution

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4. 700 800 Level GMAT Sample Question | Probability

   If two distinct integers a and b are picked from {1, 2, 3, 4, .... 100} and multiplied, what is the probability that the resulting number has EXACTLY 3 factors?

   1. \\frac{4}{25 \times 99})
   2. \\frac{2}{25 \times 99})
   3. \\frac{8}{25 \times 99})
   4. \\frac{16}{25 \times 99})
   5. \\frac{32}{25 \times 99})

   Correct AnswerChoice B
   2/(25 × 99)

   Solution Video Solution

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5. 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.

   Correct AnswerChoice E
   Statements Together NOT Sufficient

   Solution Video Solution

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6. 700 800 Level GMAT Word Problem | Rates Problem Solving Question

   Working alone, A can complete a task in ‘a’ days and B in ‘b’ days. They take turns in doing the task with each working 2 days at a time. If A starts they finish the task in exactly 10 days. If B starts, they take half a day more. How long does it take to complete the task if they both work together?

   1. \\frac{46}{9})
   2. \\frac{50}{9})
   3. \\frac{50}{11})
   4. \\frac{36}{7})
   5. \\frac{210}{41})

   Correct AnswerChoice D
   They will take 36/7 days

   Solution Video Solution

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7. GMAT DS Sample Question | Percentage | Ratios | Word Problem

   A candy manufacturer decided to decrease the weight of each candy bar, while retaining the price. By how many cents did the per kilogram cost of candy change after the reduction in weight?

   Statement 1: The weight of each piece of candy bar reduced by 9 grams.
   Statement 2: The weight of each piece of candy bar reduced by 9%

   Correct AnswerChoice E
   Statements Together NOT Sufficient

   Solution Video Solution

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8. GMAT 700 800 Level Question | Geometry | Area of Circles

   In the figure given below, ABC and CDE are two identical semi-circles of radius 2 units. B and D are the mid points of the arc ABC and CDE respectively. What is the area of the shaded region?

   1. 4π - 1
   2. 3π - 1
   3. 2π - 4
   4. ½(3π - 1)
   5. 2π - 2

   Correct AnswerChoice C
   The area of the shaded region is
   (2π - 4) sq units.

   Solution Video Solution

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9. GMAT Data Sufficiency | Hard Math Question | Geometry

   a, b, and c are sides of a right triangle. What is the area of the triangle?

   Statement 1:a = 4.
   Statement 2: a + b + c = 4.

   Correct AnswerChoice C
   Statements Together Sufficient

   Solution Video Solution

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10. GMAT Hard Math Questions | Algebra | Absolute Values Sample Question

    If a, b, and c are not equal to zero, what is the difference between the maximum and minimum value of S?
    \\ S = 1+\frac { \left| a \right| }{ a } +\frac {2 \left| b \right| }{ b } +\frac {3 \left| ab \right| }{ ab } -\frac {4 \left| c \right| }{ c } \\)

    1. 12
    2. 14
    3. 22
    4. 20
    5. 18

    Correct AnswerChoice E
    The difference is 18.

    Solution Video Solution

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