CAT Practice Questions Library (3,439 Questions)

25 QuestionsFree Pass

Set 02: Arrangements

Difficulty: Hard

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Set 03: Arrangements

Difficulty: Easy

25 QuestionsPro Pass

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

Difficulty: Easy

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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

Difficulty: Easy

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Set 11: Games & Tournaments

Difficulty: Hard

25 QuestionsFree Pass

Set 12: Grids

Difficulty: Hard

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Set 13: Grids

Difficulty: Moderate

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Set 14: Grids

Difficulty: Hard

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Set 15: Grids

Difficulty: Easy

25 QuestionsFree Pass

Set 16: Arrangements

Difficulty: Easy

25 QuestionsFree Pass

Set 17: Math Puzzles

Difficulty: Hard

23 QuestionsPro Pass

Set 18: Arrangements

Difficulty: Hard

25 QuestionsPro Pass

Set 19: Games & Tournaments

Difficulty: Easy

25 QuestionsFree Pass

Set 20: Routes & Networks

Difficulty: Moderate

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Set 21: Routes & Networks

Difficulty: Hard

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Set 22: Routes & Networks

Difficulty: Easy

25 QuestionsFree Pass

Set 23: Set Theory

Difficulty: Moderate

25 QuestionsFree Pass

Set 24: Venn Diagrams

Difficulty: Hard

25 QuestionsPro Pass

Set 25: Venn Diagrams

Difficulty: Easy

24 QuestionsFree Pass

Set 26: Linear Equation

Difficulty: Easy

12 QuestionsFree Pass

Set 27: Inequalities

Difficulty: Easy

24 QuestionsPro Pass

Set 28: Polynomials

Difficulty: Easy

23 QuestionsPro Pass

Set 29: Indices

Difficulty: Easy

25 QuestionsPro Pass

Set 30: Progression & Series

Difficulty: Easy

17 QuestionsPro Pass

Set 31: Functions

Difficulty: Hard

25 QuestionsPro Pass

Set 32: Linear Equation

Difficulty: Moderate

24 QuestionsPro Pass

Set 33: Progression & Series

Difficulty: Hard

22 QuestionsPro Pass

Set 34: Functions

Difficulty: Hard

22 QuestionsPro Pass

Set 35: Quadratic Equations

Difficulty: Easy

24 QuestionsPro Pass

Set 36: Linear Equation

Difficulty: Moderate

21 QuestionsPro Pass

Set 37: Polynomials

Difficulty: Hard

25 QuestionsPro Pass

Set 38: Indices

Difficulty: Easy

22 QuestionsPro Pass

Set 39: Quadratic Equations

Difficulty: Hard

25 QuestionsPro Pass

Set 40: Progression & Series

Difficulty: Easy

25 QuestionsPro Pass

Set 41: Linear Equation

Difficulty: Easy

25 QuestionsPro Pass

Set 42: Indices

Difficulty: Moderate

18 QuestionsPro Pass

Set 43: Quadratic Equations

Difficulty: Hard

25 QuestionsPro Pass

Set 44: Linear Equation

Difficulty: Easy

19 QuestionsPro Pass

Set 45: Polynomials

Difficulty: Hard

20 QuestionsPro Pass

Set 46: Modulus

Difficulty: Easy

18 QuestionsPro Pass

Set 47: Functions

Difficulty: Hard

24 QuestionsPro Pass

Set 48: Progression & Series

Difficulty: Hard

25 QuestionsPro Pass

Set 49: Linear Equation

Difficulty: Easy

19 QuestionsPro Pass

Set 50: Inequalities

Difficulty: Moderate

25 QuestionsPro Pass

Set 51: Quadratic Equations

Difficulty: Moderate

24 QuestionsPro Pass

Set 52: Progression & Series

Difficulty: Easy

24 QuestionsPro Pass

Set 53: Integral Solutions

Difficulty: Hard

20 QuestionsFree Pass

Set 54: Percentages

Difficulty: Easy

25 QuestionsFree Pass

Set 55: Ratio, Proportion & Variation

Difficulty: Easy

25 QuestionsPro Pass

Set 56: Time & Work

Difficulty: Easy

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Set 57: Time, Speed & Distance

Difficulty: Easy

15 QuestionsPro Pass

Set 58: Mixture & Alligation

Difficulty: Easy

25 QuestionsPro Pass

Set 59: Percentages

Difficulty: Hard

24 QuestionsPro Pass

Set 60: Time & Work

Difficulty: Hard

25 QuestionsPro Pass

Set 61: Profit & Loss

Difficulty: Moderate

24 QuestionsPro Pass

Set 62: Percentages

Difficulty: Easy

25 QuestionsPro Pass

Set 63: Time & Work

Difficulty: Easy

25 QuestionsPro Pass

Set 64: Profit & Loss

Difficulty: Hard

25 QuestionsPro Pass

Set 65: Simple & Compound Interest

Difficulty: Easy

25 QuestionsPro Pass

Set 66: Ratio, Proportion & Variation

Difficulty: Moderate

25 QuestionsPro Pass

Set 67: Time, Speed & Distance

Difficulty: Hard

25 QuestionsPro Pass

Set 68: Percentages

Difficulty: Easy

25 QuestionsPro Pass

Set 69: Time & Work

Difficulty: Hard

25 QuestionsPro Pass

Set 70: Mean

Difficulty: Easy

25 QuestionsPro Pass

Set 71: Ratio, Proportion & Variation

Difficulty: Moderate

25 QuestionsPro Pass

Set 72: Profit & Loss

Difficulty: Hard

25 QuestionsPro Pass

Set 73: Ratio, Proportion & Variation

Difficulty: Easy

25 QuestionsPro Pass

Set 74: Percentages

Difficulty: Moderate

25 QuestionsPro Pass

Set 75: Time & Work

Difficulty: Moderate

25 QuestionsPro Pass

Set 76: Mixture & Alligation

Difficulty: Hard

25 QuestionsPro Pass

Set 77: Time, Speed & Distance

Difficulty: Easy

25 QuestionsPro Pass

Set 78: Percentages

Difficulty: Easy

24 QuestionsPro Pass

Set 79: Simple & Compound Interest

Difficulty: Hard

25 QuestionsPro Pass

Set 80: Ratio, Proportion & Variation

Difficulty: Easy

25 QuestionsPro Pass

Set 81: Percentages

Difficulty: Moderate

25 QuestionsPro Pass

Set 82: Profit & Loss

Difficulty: Hard

25 QuestionsPro Pass

Set 83: Time, Speed & Distance

Difficulty: Easy

25 QuestionsPro Pass

Set 84: Percentages

Difficulty: Easy

25 QuestionsPro Pass

Set 85: Time & Work

Difficulty: Moderate

20 QuestionsPro Pass

Set 86: Mixture & Alligation

Difficulty: Hard

25 QuestionsPro Pass

Set 87: Time, Speed & Distance

Difficulty: Easy

25 QuestionsPro Pass

Set 88: Simple & Compound Interest

Difficulty: Hard

25 QuestionsPro Pass

Set 89: Ratio, Proportion & Variation

Difficulty: Easy

25 QuestionsFree Pass

Set 90: Triangles

Difficulty: Easy

23 QuestionsFree Pass

Set 91: Quadrilaterals

Difficulty: Easy

24 QuestionsPro Pass

Set 92: Straight Lines

Difficulty: Easy

25 QuestionsPro Pass

Set 93: Triangles

Difficulty: Hard

23 QuestionsPro Pass

Set 94: Circles

Difficulty: Hard

25 QuestionsPro Pass

Set 95: Triangles

Difficulty: Moderate

24 QuestionsPro Pass

Set 96: Triangles

Difficulty: Hard

18 QuestionsPro Pass

Set 97: Solids

Difficulty: Easy

15 QuestionsPro Pass

Set 98: Triangles

Difficulty: Easy

24 QuestionsPro Pass

Set 99: Circles

Difficulty: Hard

25 QuestionsPro Pass

Set 100: Quadrilaterals

Difficulty: Moderate

25 QuestionsPro Pass

Set 101: Triangles

Difficulty: Easy

24 QuestionsPro Pass

Set 102: Polygons

Difficulty: Hard

25 QuestionsPro Pass

Set 103: Circles

Difficulty: Easy

25 QuestionsPro Pass

Set 104: Solids

Difficulty: Easy

25 QuestionsPro Pass

Set 105: Triangles

Difficulty: Moderate

20 QuestionsPro Pass

Set 106: Polygons

Difficulty: Hard

24 QuestionsPro Pass

Set 107: Triangles

Difficulty: Easy

23 QuestionsPro Pass

Set 108: Circles

Difficulty: Hard

14 QuestionsPro Pass

Set 109: Triangles

Difficulty: Easy

25 QuestionsPro Pass

Set 110: Solids

Difficulty: Moderate

25 QuestionsPro Pass

Set 111: Circles

Difficulty: Easy

22 QuestionsPro Pass

Set 112: Polygons

Difficulty: Hard

23 QuestionsPro Pass

Set 113: Triangles

Difficulty: Hard

23 QuestionsFree Pass

Set 114: Permutation & Combination

Difficulty: Easy

24 QuestionsFree Pass

Set 115: Set Theory

Difficulty: Easy

24 QuestionsPro Pass

Set 116: Permutation & Combination

Difficulty: Hard

12 QuestionsPro Pass

Set 117: Minima & Maxima

Difficulty: Hard

25 QuestionsPro Pass

Set 118: Permutation & Combination

Difficulty: Moderate

25 QuestionsPro Pass

Set 119: Set Theory

Difficulty: Easy

25 QuestionsPro Pass

Set 120: Probability

Difficulty: Easy

16 QuestionsPro Pass

Set 121: Permutation & Combination

Difficulty: Hard

24 QuestionsPro Pass

Set 122: Set Theory

Difficulty: Easy

23 QuestionsPro Pass

Set 123: Permutation & Combination

Difficulty: Hard

24 QuestionsPro Pass

Set 124: Set Theory

Difficulty: Moderate

19 QuestionsPro Pass

Set 125: Permutation & Combination

Difficulty: Hard

24 QuestionsPro Pass

Set 126: Permutation & Combination

Difficulty: Easy

25 QuestionsPro Pass

Set 127: Set Theory

Difficulty: Easy

22 QuestionsPro Pass

Set 128: Probability

Difficulty: Hard

25 QuestionsPro Pass

Set 129: Permutation & Combination

Difficulty: Easy

25 QuestionsFree Pass

Set 130: HCF/LCM

Difficulty: Easy

14 QuestionsFree Pass

Set 131: Factorisation

Difficulty: Easy

19 QuestionsPro Pass

Set 132: Integral Solutions

Difficulty: Hard

25 QuestionsPro Pass

Set 133: HCF/LCM

Difficulty: Moderate

25 QuestionsPro Pass

Set 134: Remainder

Difficulty: Easy

11 QuestionsPro Pass

Set 135: Factorisation

Difficulty: Hard

25 QuestionsPro Pass

Set 136: Divisibility Rules

Difficulty: Easy

25 QuestionsPro Pass

Set 137: HCF/LCM

Difficulty: Easy

25 QuestionsPro Pass

Set 138: Divisibility Rules

Difficulty: Moderate

21 QuestionsPro Pass

Set 139: Remainder

Difficulty: Hard

25 QuestionsPro Pass

Set 140: Divisibility Rules

Difficulty: Easy

13 QuestionsPro Pass

Set 141: Divisibility Rules

Difficulty: Hard

22 QuestionsPro Pass

Set 142: HCF/LCM

Difficulty: Easy

25 QuestionsPro Pass

Set 143: Divisibility Rules

Difficulty: Hard

15 QuestionsPro Pass

Set 144: Factorisation

Difficulty: Moderate

16 QuestionsPro Pass

Set 145: Divisibility Rules

Difficulty: Easy

16 QuestionsPro Pass

Set 146: HCF/LCM

Difficulty: Hard

24 QuestionsPro Pass

Set 147: Divisibility Rules

Difficulty: Easy

19 QuestionsPro Pass

Set 148: HCF/LCM

Difficulty: Moderate

12 QuestionsPro Pass

Set 149: Divisibility Rules

Difficulty: Hard

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Official Exam Questions & Explanations (25 of 3439)

Sorted in official convenor sequence

Question 1 of 3439

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?

Official Convenor Answer Key: A

Verified Solution: 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 3439

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:

Official Convenor Answer Key: 3

Verified Solution: 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 3439

ThinkCAT Practice SetDILRLogical Reasoning • ArrangementsModerate

If D and B switch places, who is now sitting to the immediate left of A?

Official Convenor Answer Key: B

Verified Solution: 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 3439

ThinkCAT Practice SetDILRLogical Reasoning • ArrangementsModerate

If E is removed from the circle, who is now sitting to the immediate left of A?

TITA Answer:

Official Convenor Answer Key: 2

Verified Solution: 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 3439

ThinkCAT Practice SetDILRLogical Reasoning • ArrangementsModerate

If C and E switch places, who is now sitting opposite B?

Official Convenor Answer Key: A

Verified Solution: After C and E switch places, the arrangement becomes E-B-A-C-D. Thus, A is sitting directly opposite B.

Question 6 of 3439

ThinkCAT Practice SetDILRLogical Reasoning • ArrangementsModerate

If D is removed from the circle, who is now sitting to the immediate left of A?

TITA Answer:

Official Convenor Answer Key: 3

Verified Solution: 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 3439

ThinkCAT Practice SetDILRLogical Reasoning • ArrangementsModerate

If B and D switch places, who is now sitting to the immediate right of C?

Official Convenor Answer Key: A

Verified Solution: 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 3439

ThinkCAT Practice SetDILRLogical Reasoning • ArrangementsModerate

If C and D switch places, who is now sitting to the immediate right of B?

TITA Answer:

Official Convenor Answer Key: 3

Verified Solution: 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 3439

ThinkCAT Practice SetDILRLogical Reasoning • ArrangementsModerate

If E and B switch places, who is now sitting to the immediate right of D?

Official Convenor Answer Key: A

Verified Solution: 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 3439

ThinkCAT Practice SetDILRLogical Reasoning • ArrangementsModerate

If A and D switch places, who is now sitting directly opposite E?

TITA Answer:

Official Convenor Answer Key: 2

Verified Solution: 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 3439

ThinkCAT Practice SetDILRLogical Reasoning • ArrangementsModerate

If C and E switch places, who is now sitting directly opposite A?

Official Convenor Answer Key: D

Verified Solution: 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 3439

ThinkCAT Practice SetDILRLogical Reasoning • ArrangementsModerate

If D and C switch places, who is now sitting to the immediate left of A?

TITA Answer:

Official Convenor Answer Key: 3

Verified Solution: 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 3439

ThinkCAT Practice SetDILRLogical Reasoning • ArrangementsModerate

If B and E switch places, who is now sitting to the immediate right of D?

Official Convenor Answer Key: A

Verified Solution: 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 3439

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?

Official Convenor Answer Key: C

Verified Solution: 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 3439

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:

Official Convenor Answer Key: 12

Verified Solution: 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 3439

ThinkCAT Practice SetDILRLogical Reasoning • ArrangementsModerate

If A is not adjacent to B, how many possible arrangements are there?

TITA Answer:

Official Convenor Answer Key: 24

Verified Solution: 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 3439

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:

Official Convenor Answer Key: 12

Verified Solution: 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 3439

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:

Official Convenor Answer Key: 4

Verified Solution: 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 3439

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:

Official Convenor Answer Key: 24

Verified Solution: 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 3439

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:

Official Convenor Answer Key: 24

Verified Solution: 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 3439

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:

Official Convenor Answer Key: 12

Verified Solution: 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 3439

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:

Official Convenor Answer Key: 4

Question 23 of 3439

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:

Official Convenor Answer Key: 2

Verified Solution: 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 3439

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:

Official Convenor Answer Key: 4

Verified Solution: 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 3439

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: