1. Question 13 of the Must Solve 100 GMAT quant question series by q-51.com.

    This question is a descriptive statistics question and tests concepts in mean and median of 3 numbers.

    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?
    A. 23
    B. 21
    C. 25
    D. 26
    E. 24

    Visit gmatpractice.q-51.com for difficult GMAT quant questions and videos. By 4GMAT.

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  2. Concept covered in this question is absolute value. How to work around algebraic expressions with absolute value?

    If x and y are integers and |x - y| = 12, what is the minimum possible value of xy?
    A. -12
    B. -18
    C. -24
    D. -36
    E. -48

    Visit gmatpractice.q-51.com for tough GMAT quant questions. Collection of must solve 100 gmat quant questions by 4GMAT.

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  3. This question tests concepts in mean, median and range and also includes elementary number properties such as prime numbers and odd and even numbers.

    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.

    A. I only
    B.I and II only
    C. I and III only
    D. III only
    E. I, II, and III

    Part of the Q-51 series by 4GMAT. Visit gmatpractice.q-51.com for more practice questions

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  4. Part of the Q-51 series by 4GMAT, this question is a problem solving question and tests concepts in absolute values. An algebra topic.

    If a, b, and c are not equal to zero, what is the difference between the maximum and minimum value of S?
    S = 1 + {|a|/a} + 2{|b|/b} + 3{|ab|/ab} - 4{|c|/c}
    A. 12
    B. 14
    C. 22
    D. 20
    E. 18

    Solution and video explanation to this GMAT hard math question provided by 4GMAT. Visit gmatpractice.q-51.com for more questions

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  5. This tough GMAT quant question is a problem solving question in geometry. The question is to find the area of a shape which is a portion of two equal semicircles. The concept tested are one's ability to segregate the semicircle into parts for which area can be found. This question is a part of the q-51.com series by 4GMAT.

    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?
    A. 4π - 1
    B. 3π - 1
    C. 2π - 4
    D. (3π−1)/2
    E. 2π - 2

    Detailed video explanation to this hard math GMAT question is provided in this video. Presented by K S Baskar of 4GMAT.
    Visit gmatpractice.q-51.com/ for more of these question.

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Videos providing explanations, tricks, framework for some interesting GMAT Quant questions. While many of these questions are relatively difficult, a few not so difficult ones figure if the 4GMAT team believes those questions hit the nail on the head…


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