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.
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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
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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
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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 for Logical Reasoning Puzzles for CAT Set-2 PDF:
Answers & Solutions (1 – 5):
First let’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. Let’s first assume A has a lower Math rank than B.
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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)