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Logical Reasoning • Linear & Circular Arrangements Practice Drills (167 Qs)• Official Answer Keys

CAT Linear & Circular Arrangements Practice Questions (165+ Questions)

Multi-Attribute Matrix Grids, Facing Center/Outward Circular Tables, Row Seating, and Parallel Tracks

167 Total Questions
MCQ: 86 (+3 / -1)
TITA: 81 (0 Negative Penalty)
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Core Formulas & Shortcut Matrix: Linear & Circular Arrangements Practice Drills

Directional Rule in CircleFormula #1
\text{Facing Center} \implies \text{Right is Anti-Clockwise, Left is Clockwise}

Reverse when facing outward.

Exam Hall Traps & Speedbreakers to Avoid
  • •Assuming symmetric seating means opposite seats exist in an odd-numbered person table.

Bite-Sized Practice Sets (8 Modules Available)

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Official Exam Questions & Explanations (25 of 167)

Sorted in official convenor sequence
Question 1 of 167
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 167
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 167
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 167
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 167
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 167
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 167
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 167
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 167
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 167
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 167
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 167
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 167
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 167
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 167
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 167
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 167
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 167
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 167
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 167
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 167
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 167
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 167
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 167
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 167
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 Linear & Circular Arrangements Practice Questions (165+ Questions)

What concepts are covered in the Linear & Circular Arrangements Practice Drills practice module?

This module covers Arrangements with 167 verified problems ranging from core foundation to high-difficulty CAT exam hall level.

What is the recommended solving time for Linear & Circular Arrangements Practice Drills questions?

The ideal target pace is 10 to 12 mins / caselet (2.2 mins / question). Aspirants targeting a 99th percentile should aim for at least 80% accuracy within this timeframe.

Where can I find official past year CAT papers for Linear & Circular Arrangements Practice Drills?

Official past year exam questions are available in our CAT Arrangements Previous Year Questions module.

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