NMAT · Quantitative Skills

Algebra and probability

Linear and quadratic equations, inequalities, sequences and series, permutations and combinations, probability.

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  • Next exam day: NMAT 2026 testing window closes (last exam day): 20 Dec 2026 (Reported, mba.com).

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  • Q1 · Algebra and probability · EASY

    A sequence of integers is defined by the first term a1 = 2 and the recurrence relation a(n+1) = 3a(n) - 2 for n >= 1. What is the value of a4?

  • Q2 · Algebra and probability · MEDIUM

    The roots of the quadratic equation x^2 - 5x + k = 0 are real and distinct. What is the maximum integer value of k for which this condition holds?

  • Q3 · Algebra and probability · MEDIUM

    A committee of 4 members is to be selected from a group of 6 men and 4 women. How many ways can the committee be formed if it must include at least one woman?

  • Q4 · Algebra and probability · MEDIUM

    A fair six-sided die is rolled twice. What is the probability that the sum of the two numbers is a prime number?

  • Q5 · Algebra and probability · HARD

    If x is a real number such that x^2 - 4x - 5 < 0, which of the following intervals contains all possible values of x?

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