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Logical Reasoning Practice Hub (DILR) • 435 Qs• Official Answer Keys

CAT Logical Reasoning Practice Questions & Drills

Authentic CAT LR Caselets Covering Linear & Circular Arrangements, Tournaments, Routes & Networks, and Math Puzzles with Logic Grids

435 Total Questions
MCQ: 205 (+3 / -1)
TITA: 230 (0 Negative Penalty)
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Core Formulas & Shortcut Matrix: Logical Reasoning

Circular Arrangement Facing CenterFormula #1
Left = Clockwise, \quad Right = Anti-Clockwise

Anchor the first person at bottom (facing North) to fix symmetry.

Round-Robin Total MatchesFormula #2
\text{Matches} = N(N−1)2\frac{N(N-1)}{2}$

For N teams playing each other exactly once.

Knockout Tournament Total MatchesFormula #3
\text{Matches} = N - 1

Each match eliminates exactly one participant.

Exam Hall Traps & Speedbreakers to Avoid
  • •Beginning deduction before reading all conditions: scanning all clues often reveals an absolute anchor clue.
  • •Confusing "A sits second to the left of B" with "two persons sit between A and B".
  • •Spending more than 5 minutes without establishing a partial grid; know when to triage and switch sets.

Bite-Sized Practice Sets (20 Modules Available)

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Set 01: Arrangements

Difficulty: Moderate
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Set 02: Arrangements

Difficulty: Hard
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Set 03: Arrangements

Difficulty: Easy
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Set 04: Arrangements

Difficulty: Hard
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Set 05: Arrangements

Difficulty: Moderate
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Set 06: Arrangements

Difficulty: Hard
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Set 07: Coding/Decoding

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Set 08: Games & Tournaments

Difficulty: Moderate
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Set 09: Games & Tournaments

Difficulty: Hard
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Set 10: Games & Tournaments

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Set 11: Games & Tournaments

Difficulty: Hard
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Set 12: Math Puzzles

Difficulty: Hard
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Set 13: Math Puzzles

Difficulty: Moderate
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Set 14: Arrangements

Difficulty: Easy
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Set 15: Math Puzzles

Difficulty: Hard
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Set 16: Arrangements

Difficulty: Hard
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Set 17: Games & Tournaments

Difficulty: Easy
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Set 18: Routes & Networks

Difficulty: Moderate
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Set 19: Routes & Networks

Difficulty: Hard
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Set 20: Routes & Networks

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Official Exam Questions & Explanations (25 of 435)

Sorted in official convenor sequence
Question 1 of 435
ThinkCAT Practice SetDILRLogical Reasoning • ArrangementsModerate
Five friends, A, B, C, D, and E, are sitting in a circle. A is sitting to the immediate left of B. C is sitting opposite D. E is sitting to the immediate right of C. Who is sitting to the immediate right of D?
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Official Correct Answer: A. From the given information, A is to the immediate left of B, and C is opposite D. Therefore, E is to the immediate right of C. This means the order must be B-A-C-E-D, so the person to the immediate right of D is A.
Question 2 of 435
ThinkCAT Practice SetDILRLogical Reasoning • ArrangementsModerate
If the friend sitting to the immediate left of D is also to the immediate right of B, which friend is sitting directly opposite A?
TITA Answer:
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Official Correct Answer: 3. Given the arrangement B-A-C-E-D, if the friend to the immediate left of D is to the immediate right of B, then B must be at the position originally occupied by E, and D must be at the position originally occupied by C. Thus, the arrangement becomes E-B-A-D-C. The friend directly opposite A is C.
Question 3 of 435
ThinkCAT Practice SetDILRLogical Reasoning • ArrangementsModerate
If D and B switch places, who is now sitting to the immediate left of A?
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Official Correct Answer: B. After D and B switch places, the arrangement becomes B-D-C-E-A. Thus, the person to the immediate left of A is B.
Question 4 of 435
ThinkCAT Practice SetDILRLogical Reasoning • ArrangementsModerate
If E is removed from the circle, who is now sitting to the immediate left of A?
TITA Answer:
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Official Correct Answer: 2. When E is removed, the remaining friends are A, B, C, and D. From the original arrangement B-A-C-E-D, we can see that A was to the immediate left of B. Therefore, B is now to the immediate left of A after E is removed.
Question 5 of 435
ThinkCAT Practice SetDILRLogical Reasoning • ArrangementsModerate
If C and E switch places, who is now sitting opposite B?
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Official Correct Answer: A. After C and E switch places, the arrangement becomes E-B-A-C-D. Thus, A is sitting directly opposite B.
Question 6 of 435
ThinkCAT Practice SetDILRLogical Reasoning • ArrangementsModerate
If D is removed from the circle, who is now sitting to the immediate left of A?
TITA Answer:
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Official Correct Answer: 3. When D is removed, the remaining friends are A, B, C, and E. From the original arrangement B-A-C-E-D, we can see that A was to the immediate left of B. Therefore, B is now to the immediate left of A after D is removed.
Question 7 of 435
ThinkCAT Practice SetDILRLogical Reasoning • ArrangementsModerate
If B and D switch places, who is now sitting to the immediate right of C?
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Official Correct Answer: A. After B and D switch places, the arrangement becomes D-B-A-C-E. Thus, A is now sitting to the immediate right of C.
Question 8 of 435
ThinkCAT Practice SetDILRLogical Reasoning • ArrangementsModerate
If C and D switch places, who is now sitting to the immediate right of B?
TITA Answer:
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Official Correct Answer: 3. After C and D switch places, the arrangement becomes B-D-A-C-E. Thus, A is now sitting to the immediate right of B.
Question 9 of 435
ThinkCAT Practice SetDILRLogical Reasoning • ArrangementsModerate
If E and B switch places, who is now sitting to the immediate right of D?
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Official Correct Answer: A. After E and B switch places, the arrangement becomes B-E-A-C-D. Thus, A is now sitting to the immediate right of D.
Question 10 of 435
ThinkCAT Practice SetDILRLogical Reasoning • ArrangementsModerate
If A and D switch places, who is now sitting directly opposite E?
TITA Answer:
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Official Correct Answer: 2. After A and D switch places, the arrangement becomes D-B-C-E-A. Thus, B is now sitting directly opposite E.
Question 11 of 435
ThinkCAT Practice SetDILRLogical Reasoning • ArrangementsModerate
If C and E switch places, who is now sitting directly opposite A?
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Official Correct Answer: D. After C and E switch places, the arrangement becomes E-B-A-C-D. Thus, D is now sitting directly opposite A.
Question 12 of 435
ThinkCAT Practice SetDILRLogical Reasoning • ArrangementsModerate
If D and C switch places, who is now sitting to the immediate left of A?
TITA Answer:
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Official Correct Answer: 3. After D and C switch places, the arrangement becomes B-C-A-E-D. Thus, C is now sitting to the immediate left of A.
Question 13 of 435
ThinkCAT Practice SetDILRLogical Reasoning • ArrangementsModerate
If B and E switch places, who is now sitting to the immediate right of D?
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Official Correct Answer: A. After B and E switch places, the arrangement becomes E-D-A-C-B. Thus, A is now sitting to the immediate right of D.
Question 14 of 435
ThinkCAT Practice SetDILRLogical Reasoning • ArrangementsModerate
In a classroom, 5 students - A, B, C, D, and E - are sitting in a row. A is not sitting at either end. If B is sitting to the immediate right of C, how many possible arrangements are there for the students?
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Official Correct Answer: C. A cannot sit at the ends, leaving 3 positions for A. B and C must sit together, so treat B and C as a single unit (2! ways to arrange B and C). This gives us 4 units to arrange (A, BC, D, E) in 3 positions (since A is fixed in one of 3 positions). Total arrangements = 3 * 2 * 4! = 36.
Question 15 of 435
ThinkCAT Practice SetDILRLogical Reasoning • ArrangementsModerate
In the same arrangement, if D is sitting immediately to the right of E, how many possible arrangements are there?
TITA Answer:
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Official Correct Answer: 12. E and D form a single unit (2! ways to arrange them). A can sit in 3 positions, and the remaining 2 students (B and C) can be arranged in 2 positions. Total arrangements = 3 * 2 * 2! = 12.
Question 16 of 435
ThinkCAT Practice SetDILRLogical Reasoning • ArrangementsModerate
If A is not adjacent to B, how many possible arrangements are there?
TITA Answer:
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Official Correct Answer: 24. Total arrangements = 5! = 120. Arrangements where A and B are adjacent = 4! * 2 = 48. Thus, arrangements where A and B are not adjacent = 120 - 48 = 72. Since A cannot sit at the ends, we need to adjust for the specific positions, yielding 24.
Question 17 of 435
ThinkCAT Practice SetDILRLogical Reasoning • ArrangementsModerate
If C is at one end and A is not adjacent to B, how many possible arrangements are there?
TITA Answer:
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Official Correct Answer: 12. C is at one end, so there are 2 ways to place C. A cannot sit at the ends, leaving 2 positions for A. A and B are not adjacent, so we have 2 valid arrangements for B and 3 for the remaining 2 students. Total arrangements = 2 * 2 * 3 = 12.
Question 18 of 435
ThinkCAT Practice SetDILRLogical Reasoning • ArrangementsModerate
If A is not adjacent to B, C is at one end, and D is immediately to the right of E, how many possible arrangements are there?
TITA Answer:
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Official Correct Answer: 4. C is at one end, leaving 2 positions for C. D and E are a single unit (2! ways to arrange them). A cannot sit at the ends, leaving 1 position for A. B and the remaining student can be arranged in 2 ways. Total arrangements = 2 * 2 * 1 * 2 = 4.
Question 19 of 435
ThinkCAT Practice SetDILRLogical Reasoning • ArrangementsModerate
If A and B are not adjacent, and D is immediately to the right of E, how many possible arrangements are there?
TITA Answer:
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Official Correct Answer: 24. A and B are not adjacent (4 valid pairs for A and B). D and E are a single unit (2! ways to arrange them). The remaining 2 students can be arranged in 2! ways. Total arrangements = 4 * 2 * 2! = 24.
Question 20 of 435
ThinkCAT Practice SetDILRLogical Reasoning • ArrangementsModerate
If A and C are not adjacent, and B is immediately to the left of D, how many possible arrangements are there?
TITA Answer:
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Official Correct Answer: 24. A and C are not adjacent (4 valid pairs for A and C). B and D are a single unit (2! ways to arrange them). The remaining 2 students can be arranged in 2! ways. Total arrangements = 4 * 2 * 2! = 24.
Question 21 of 435
ThinkCAT Practice SetDILRLogical Reasoning • ArrangementsModerate
If A is not adjacent to B, C is at one end, and D is not adjacent to E, how many possible arrangements are there?
TITA Answer:
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Official Correct Answer: 12. C is at one end, leaving 2 positions for C. A cannot sit at the ends, leaving 1 position for A. D and E are not adjacent (3 valid pairs). The remaining student can be placed in 2 ways. Total arrangements = 2 * 1 * 3 * 2 = 12.
Question 22 of 435
ThinkCAT Practice SetDILRLogical Reasoning • ArrangementsModerate
If A is not adjacent to B, C is at one end, and D is immediately to the right of E, how many possible arrangements are there?
TITA Answer:
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Official Correct Answer: 4. C is at one end, leaving 2 positions for C. D and E are a single unit (2! ways to arrange them). A cannot sit at the ends, leaving 1 position for A. B and the remaining student can be arranged in 2 ways. Total arrangements = 2 * 2 * 1 * 2 = 4.
Question 23 of 435
ThinkCAT Practice SetDILRLogical Reasoning • ArrangementsModerate
If A is not adjacent to B, C is at one end, and D is immediately to the right of E, and E is not adjacent to A, how many possible arrangements are there?
TITA Answer:
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Official Correct Answer: 2. C is at one end, leaving 2 positions for C. D and E are a single unit (2! ways to arrange them). A cannot sit at the ends, leaving 1 position for A. E cannot be adjacent to A, so E must be at the other end, leaving only 1 valid arrangement for the remaining student. Total arrangements = 2 * 1 * 1 = 2.
Question 24 of 435
ThinkCAT Practice SetDILRLogical Reasoning • ArrangementsModerate
If A is not adjacent to B, C is at one end, and D is immediately to the right of E, and A is not adjacent to E, how many possible arrangements are there?
TITA Answer:
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Official Correct Answer: 4. C is at one end, leaving 2 positions for C. D and E are a single unit (2! ways to arrange them). A cannot sit at the ends or next to E, so A has 1 valid position. B and the remaining student can be arranged in 2 ways. Total arrangements = 2 * 2 * 1 * 2 = 4.
Question 25 of 435
ThinkCAT Practice SetDILRLogical Reasoning • ArrangementsModerate
If A is not adjacent to B, C is at one end, and D is immediately to the right of E, and A is not adjacent to E, and B is not adjacent to D, how many possible arrangements are there?
TITA Answer:
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Official Correct Answer: 2. C is at one end, leaving 2 positions for C. D and E are a single unit (2! ways to arrange them). A cannot sit at the ends or next to E, so A has 1 valid position. B cannot be adjacent to D, so B has 1 valid position. Total arrangements = 2 * 2 * 1 * 1 = 2.

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Frequently Asked Questions about CAT Logical Reasoning Practice Questions & Drills

How many Logical Reasoning practice questions are in this collection?

This repository contains 435 curated CAT Logical Reasoning practice questions organized by subtopic and difficulty (Easy, Moderate, Hard).

What is the historical weightage of Logical Reasoning in the CAT exam?

2 to 3 Caselets in DILR (10–15 Questions, ~50–60% of DILR weightage). Excelling in Logical Reasoning is critical for securing a 99.0+ percentile.

Are these practice questions accompanied by past year CAT questions?

Yes! You can explore verified official past year questions for this section in our dedicated CAT Logical Reasoning Previous Year Questions (2017–2025) archive.

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