CAT · Quantitative Aptitude

Modern Math

~5–7% of QA. P&C and probability lead this area.

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  • Q1 · Modern Math · MEDIUM

    In how many ways can 12 identical books be distributed among 4 students such that each student receives at least 2 books?

  • Q2 · Modern Math · EASY

    A committee of 5 members is to be formed from 6 men and 4 women such that the committee has at least 2 women. In how many ways can this be done?

  • Q3 · Modern Math · HARD

    How many 5-digit numbers can be formed using the digits 1, 2, 3, 4, 5, 6 such that the number is divisible by 4 and no digit is repeated?

  • Q4 · Modern Math · MEDIUM

    In how many ways can the letters of the word 'PROMISE' be arranged such that all vowels come together?

  • Q5 · Modern Math · EASY

    A die is rolled twice. What is the probability that the sum of the numbers on the two rolls is 8?

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