XAT Permutations — practice questions

Explore 2 free Permutations questions in XAT Quantitative Aptitude. Open each question or exercise to read its content, reference answers and available explanation.

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Permutations questions and exercises with answers

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Letters of 'CORPORATION' arranged so vowels stay together. Number of ways:Read the answer and worked solution →How many three-digit numbers can be formed from digits 1–9 without repetition?Read the answer and worked solution →

Worked practice questions

Letters of 'CORPORATION' arranged so vowels stay together. Number of ways:

810
1440
2880
50400

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Correct answer: D. 50400

1. CORPORATION = 11 letters with vowels O, O, A, I, O (5 vowels, three O's repeating) and consonants C, R, P, R, T, N (6 letters with two R's). 2. Treat vowels as one block: 7 objects to arrange = 7!/(2!) for the two R's = 7!/2 = 2520. 3. Internal vowel arrangement = 5!/3! = 20. Total = 2520 × 20 = 50400. _Source: KMAT Karnataka 2023 PYQ Q.42_

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How many three-digit numbers can be formed from digits 1–9 without repetition?

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Correct answer: A. 504

1. Hundreds: 9 choices; tens: 8 remaining; units: 7 remaining. 2. Total = 9 × 8 × 7. 3. = 504. _Source: KMAT Karnataka 2022 PYQ Q.74_