CAT Logical Reasoning Questions with Solutions PDF

CAT Logical Reasoning can not be mastered by merely covering the syllabus. Practising a good number of CAT LR sets is the only preparation strategy that can help. Shiksha.com brings to you a range of CAT Logical Reasoning questions with solutions for exam preparation. CAT 2026 will 2-3 Logical Reasoning (LR) sets with moderate to tough difficulty level. To solve CAT LR questions with accuracy, candidates must practice 1000s of LR questions. 

Since CAT Logical Reasoning does not have any formula to memorise or theorems to understand, the only way to prepare for it is by practice. LR questions test the ability to analyse patterns and solve puzzles. CAT LR questions can be pictorial, abstract, mathematical or verbal.  The best study material for Logical Reasoning are CAT previous year papers and CAT mock tests. 

Logical Reasoning topics for CAT include Alphanumeric series, Analogies, Blood Relations, Calendars, Cause and Effect, Clocks, Coding-Decoding, Cubes and Cuboids, Data Sufficiency, Statement Analysis, Figure Matrix, Input-Output, Dices, Odd One Out, Syllogism, Picture Series and Sequences, Pattern Series and Sequences, Shape Construction, Statement and Assumptions, Statement and Conclusions.

CAT Logical Reasoning Questions with Solutions PDF

Sample CAT Logical Reasoning Questions with Solutions

DIRECTIONS for questions 1 to 3: Refer to the data below and answer the questions that follow. 

Three balls coloured Yellow, Green and Red are to be put in one of the three boxes numbered 1, 2 and 3 (not necessarily in the same order). Three friends John, Jani and Janardhan make two statements about the arrangement of the balls in the boxes, one of which is true and the other is false.

Their statements are as follows:

• John: The Yellow Ball is not in Box 2. The Red ball is in Box 1
• Jani: The Yellow Ball is not in Box 3. The Green ball is in Box 2
• Janardhan: The Green ball is in Box 3. The Red ball is not in Box 1

Q1. What does the box 1 contains:

1. Red Ball
2. Yellow Ball
3. Green Ball
4. Cannot be determined

Q2. The Yellow Ball is in which box?

1. Box 1
2. Box 2
3. Box 3
4. Either Box 2 or Box 3

Q3. If we ignore the second statement made by Jani and consider the first statement made by him to be true, then how many possible arrangements can we have following the remaining conditions?

1. 3
2. 4
3. 5
4. None of these

DIRECTIONS for questions 4 to 6: Refer to the data below and answer the questions that follow.

Mr. Swamy, a Professor of an MBA school Laurels is an expert at creating puzzles. On the induction day for the first year MBA students of the academic year 2012 he asked his students to guess his date of birth in the form(dd-mm-yy), where yy represent the last two digits of the year in which he was born. He put the following conditions before them.

• In 2012, his age is more than 46 years but less than 49 years.
• Three of the digits in his date of birth are consecutive odd numbers.
• There is exactly one natural number of the form (x2 -1) in his date of birth (where x is a single digit odd number).
• There is exactly one two digit prime number (taken either as dd or mm or yy) in his date of birth. Now on the basis of the above information answer the following questions.

Q4. Which is the month in which Mr. Swamy was born?

1. November
2. July
3. August
4. Cannot be determined 

Q5. What is the sum of (d d m m y y) in his date of birth?

1. 15
2. 18
3. 23
4. 27

Q6. On which date (dd) was Mr. Swamy born?

1. 21
2. 11
3. 13
4. Cannot be determined

DIRECTIONS for questions 7 to 9: Refer to the data below and answer the questions that follow

A group of 7 people Salman, Shahrukh, Aamir, Ranbir, Imran, Shahid and Akshay are to be arranged in a row of 7 chairs (not necessarily in the same order), such that 2 adjacent chairs are facing opposite directions but not facing each other . Given below are some of the conditions to be followed for the seating arrangement a) Akshay sits in a chair whose direction is opposite to that of Imran b) None of Salman, Shahrukh or Aamir can sit adjacent to each other c) Ranbir and Shahid are best friends, so they always sit together d) Imran has 4 people sitting to his right e) Aamir is sitting 2 positions to the right of Ranbir

Q7. Which of the following can never occupy adjacent chairs?

1. Akshay & Imran
2. Ranbir & Salman
3. Shahrukh & Shahid
4. Aamir & Imran

Q8. If Ranbir is 3 places to the right of Imran, then who is 2 places to the left of Akshay?

1. Salman
2. Aamir
3. Either Shahrukh or Salman
4. Either Aamir or Shahrukh 

Q9. If Akshay is 3 places to the left of Shahid, then who can occupy the corner positions (in any order)?

1. Salman and Aamir
2. Shahrukh and Salman
3. Shahrukh and Aamir
4. None of these

DIRECTIONS for questions 10 and 11: Refer to the data below and answer the questions that follow

Ajay takes part in a pistol shooting competition. There are four different coloured targets (red, yellow, green, blue) in front of him. He can take a maximum of 10 shots at the target. He gets 10, 9, 8 and 7 points for hitting the red, yellow, green and blue coloured targets respectively. For every red coloured target that Ajay hits, he has to hit at least two or more blue coloured targets and for every yellow coloured target that he hits he has to hit at least two or more green coloured targets. Answer the questions on the basis of the above information.

Q10. If the aim of the Ajay is to maximize his points by hitting the targets, then what is the number of green coloured targets that he should hit?

1. 4
2. 3
3. 6
4. None of these

Q11. If Ajay should hit each of the red, yellow, green and blue coloured targets atleast once, then what is the maximum number of points that he can earn?

1. 84
2. 81
3. 82
4. 83