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XAT Logical Reasoning — practice questions

Explore 30 free Logical Reasoning questions in XAT Quantitative Aptitude. Open each question or exercise to read its content, reference answers and available explanation.

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Logical Reasoning questions and exercises with answers

Showing questions 1–30 of 30.

Mohan owns 3 pants and 2 shirts. The number of pant and shirt pairs he can wear is:Read the answer and worked solution →Sabnam has 2 school bags, 3 tiffin boxes and 2 water bottles. Choosing one of each, she can carry them in:Read the answer and worked solution →If one event can happen in m ways and then another in n ways, the pair happens in:Read the answer and worked solution →Four letter words from the letters of ROSE, with no letter repeated, number:Read the answer and worked solution →If letters may repeat, the number of four letter words from R, O, S and E becomes:Read the answer and worked solution →With 4 flags of different colours, signals using 2 flags one below the other number:Read the answer and worked solution →Two digit even numbers formed from the digits 1, 2, 3, 4, 5 with repetition allowed number:Read the answer and worked solution →Using 5 different flags, signals of at least 2 flags on a staff number:Read the answer and worked solution →Three digit numbers from the digits 1 to 5, with repetition allowed, number:Read the answer and worked solution →Three digit numbers from the digits 1 to 5, with no digit repeated, number:Read the answer and worked solution →An arrangement in a definite order of objects taken some or all at a time is a:Read the answer and worked solution →Choosing 2 objects out of 3 without caring about order gives each result the name:Read the answer and worked solution →The product 1 times 2 times 3 up to n is written as:Read the answer and worked solution →The value of 5 factorial is:Read the answer and worked solution →The value of 6 factorial is:Read the answer and worked solution →The number of permutations of n different objects taken r at a time, with no repetition, is written as:Read the answer and worked solution →Permutations of n objects where p are alike and the rest all differ number:Read the answer and worked solution →The relation linking arrangements and selections of r objects from n is nPr equals:Read the answer and worked solution →The number of ways to arrange all 5 different flags on a staff is:Read the answer and worked solution →Three digit even numbers from the digits 1 to 6, with repetition allowed, number:Read the answer and worked solution →Signals using exactly 3 flags out of 5 different flags number:Read the answer and worked solution →Signals using exactly 4 flags out of those 5 different flags number:Read the answer and worked solution →Catch the counting wordsRead the answer and worked solution →Pop the right countsRead the answer and worked solution →Run the counting gatesRead the answer and worked solution →Slice the counting wordsRead the answer and worked solution →Order or no orderRead the answer and worked solution →Sort the flag countsRead the answer and worked solution →Type the numberRead the answer and worked solution →Counting bingoRead the answer and worked solution →

Worked practice questions

Mohan owns 3 pants and 2 shirts. The number of pant and shirt pairs he can wear is:

  1. 6
  2. 5
  3. 8
  4. 9
Show answer and solution

Correct answer: A. 6

1. A pant can be picked in 3 ways. 2. For each, a shirt can be picked in 2 ways. 3. That gives 3 times 2, or 6 pairs. _Source: syllabus Mathematics, Chapter 7, Permutations and Combinations._

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Sabnam has 2 school bags, 3 tiffin boxes and 2 water bottles. Choosing one of each, she can carry them in:

  1. 14 ways
  2. 12 ways
  3. 7 ways
  4. 10 ways
Show answer and solution

Correct answer: B. 12 ways

1. Bags and boxes give 2 times 3, or 6 pairs. 2. Each pair takes 2 bottle choices. 3. That gives 12 ways. _Source: syllabus Mathematics, Chapter 7, Permutations and Combinations._

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If one event can happen in m ways and then another in n ways, the pair happens in:

  1. m times n ways
  2. m plus n ways
  3. m minus n ways
  4. m over n ways
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Correct answer: A. m times n ways

1. Each way of the first pairs with every way of the second. 2. So the counts multiply. 3. The total is m times n. _Source: syllabus Mathematics, Chapter 7, Permutations and Combinations._

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