**Logical Reasoning Puzzles for CAT Set-2 PDF:**

Download important logical reasoning (LR) Solved Puzzles Set-2 PDF based on previous asked questions in CAT exam.

Download Logical Reasoning Puzzles for CAT Set-2 PDF

25 Mocks + 30 Sectionals for Rs. 1249

Download LR Puzzles Set-1 PDF

Download All CAT LR Questions PDF

Take Free Mock Test for CAT 2018

**Instructions:Â **Four friends A, B, C and D study in the same class in St. Theresa Public school. The first four ranks in the class were obtained by these four students. They also were the top 4 rankers in Mathematics. The following observations are made based on their overall class ranks and ranks of each subject.

**(i)** The one with the lower rank in Maths between A and B had the least class rank

**(ii)** The one with the higher class rank between D and C had the least Math rank

**(iii)** The one with the lower class rank between B and C, had a better Math rank than exactly two other friends

**(iv)** The one with the lower Math rank between B and D, had the highest class rank

**(v)** The one with lower class rank between A and C had the highest Math rank

**Note:** A lower numerical rank is considered as a higher rank

**Question 1:**

How many different combinations are possible for the class rank?

a) 1

b) 2

c) 3

d) 4

Download CAT 2018 Syllabus PDF

**Question 2:**

Who got the third rank in the class?

a) A

b) B

c) C

d) D

**Question 3:**

The exact Math ranks of how many people can be uniquely determined?

a) 1

b) 2

c) 3

d) 4

**Question 4:**

Who obtained the third rank in Maths ?

a) A

b) B

c) C

d) cannot be determined

Factors of a number – Formulas for CAT

Formulas on Number system and factorialsÂ

**Question 5:** How many friends obtained the same rank for the math and class rank?

a) 0

b) 1

c) 2

d) cannot be determined

**Answers & Solutions forÂ Logical Reasoning Puzzles for CAT Set-2 PDF:**

**Answers & Solutions (1 – 5):**

First letâ€™s write down the conditions given for Class rank and Math rank separately.

We see A and B are present in both the columns. Thus, making assumptions based on them will yield the most result. Letâ€™s first assume A has a lower Math rank than B.

Take a free CAT online mock test

From I, A has the least class rank. Thus, from IV, A has the highest Math rank. This contradicts our assumption. Thus, A definitely has a higher Math rank than B.

Thus, from I. B is 4th in Class rank. From V. B is the second in Math. Since A has higher Math rank than B, A will be the 1st in Math. Applying II, we get D is the 1st in the Class. Further using conditions III and IV, the following table can be formed.

**1) Answer (A)**

**2) Answer (A)**

**3) Answer (D)**

**4) Answer (C)**

**5) Answer (A)**