LR - Puzzles - Previous Year CAT/MBA Questions
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Which of the following statements is true?
- (a)
C introduced the wrong answer to question 27.
- (b)
E introduced the wrong answer to question 46.
- (c)
F introduced the wrong answer to question 14
- (d)
H introduced the wrong answer to question 46
Answer: Option C
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Text Explanation :
A, D and G each one has only one wrong answer and no blank answers.
∴ They must have obtained the key from the mastermind directly.
∴ A introduced 46 as the wrong answer, D introduced 17 as the wrong answer and G introduced 25 as the wrong answer.
H and E must have obtained the key from A as they got 46 as the wrong answer.
∴ H further introduced 92 as the wrong answer and E introduced 90 as the wrong answer.
F must have obtained the key from H and E and found that answers 92 and 90 did not match. He left these blank and introduced 14 as the wrong answer in addition to 46 (which was the same answer though wrong) for H and E.
I must have obtained the key from D and E. Answers 17, 46, 90 didn’t match and he left these as blank. He also introduced 27 as the wrong answer.
C must have obtained the key from I and introduced 56 as the wrong answer.
B must have obtained the key from E and G. Answers 25, 46, 90 didn’t match and he left these blank. He also marked 96 as the wrong answer.
∴ Combining all the above diagrams we get:
From the flowchart we get that, statement 3 is the only true statement.
Hence, option (c).
Workspace:
Which of the following two groups of people has identical sources?
(I) A, D and G
(II) E and H
- (a)
Only (I)
- (b)
Only (II)
- (c)
Neither (I) nor (II)
- (d)
Both (I) and (II)
Answer: Option D
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Text Explanation :
A, D and G each one has only one wrong answer and no blank answers.
∴ They must have obtained the key from the mastermind directly.
∴ A introduced 46 as the wrong answer, D introduced 17 as the wrong answer and G introduced 25 as the wrong answer.
H and E must have obtained the key from A as they got 46 as the wrong answer.
∴ H further introduced 92 as the wrong answer and E introduced 90 as the wrong answer.
F must have obtained the key from H and E and found that answers 92 and 90 did not match. He left these blank and introduced 14 as the wrong answer in addition to 46 (which was the same answer though wrong) for H and E.
I must have obtained the key from D and E. Answers 17, 46, 90 didn’t match and he left these as blank. He also introduced 27 as the wrong answer.
C must have obtained the key from I and introduced 56 as the wrong answer.
B must have obtained the key from E and G. Answers 25, 46, 90 didn’t match and he left these blank. He also marked 96 as the wrong answer.
∴ Combining all the above diagrams we get:
From the flowchart, we see that
A, D and G had the same source (Mastermind).
E and H had the same source (A).
Hence, option (d).
Workspace:
Answer the following question based on the information given below.
Seven faculty members at a management institute frequent a lounge for strong coffee and stimulating conversation. On being asked about their visit to the lounge last Friday we got the following responses.
JC : I came in first, and the next two persons to enter were SS and SM. When I left the lounge, JP and VR were present in the lounge. DG left with me.
JP : When I entered the lounge with VR, JC was sitting there. There was someone else, but I cannot remember who it was.
SM : I went to the lounge for a short while, and met JC, SS and DG in the lounge on that day.
SS : I left immediately after SM left.
DG : I met JC, SS, SM, JP and VR during my first visit to the lounge. I went back to my office with JC. When I went to the lounge the second time, JP and VR were there.
PK : I had some urgent work, so I did not sit in the lounge that day, but just collected my coffee and left. JP and DG were the only people in the lounge while I was there.
VR : No comments.
Based on the responses, which of the two JP or DG, entered the lounge first?
- (a)
JP
- (b)
DG
- (c)
Both entered together
- (d)
Cannot be deduced
Answer: Option B
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Text Explanation :
The information can be organised in a tabular form as shown above:
JC arrives first in the lounge, followed by SS and SM.
∴ DG must have followed them as SM met him before he left.
SM leaves after DG comes followed by SS.
JP and VR enter to find JC and DG sitting in the lounge.
JC leaves with DG, after meeting JP and VR.
DG comes back on his second visit to the lounge finding JP and VR still sitting in the lounge.
VR leaves the lounge, and only JP and DG are left behind in the lounge.
PK enters the lounge and finds only JP and DG sitting in the lounge.
PK leaves, which means that JP and DG must be the last two faculty members to leave the lounge.
Between JP and DG, DG entered the lounge first.
Hence, option (b).
Workspace:
Who was sitting with JC when JP entered the lounge?
- (a)
SS
- (b)
SM
- (c)
DG
- (d)
PK
Answer: Option C
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Text Explanation :
The information can be organised in a tabular form as shown above:
JC arrives first in the lounge, followed by SS and SM.
∴ DG must have followed them as SM met him before he left.
SM leaves after DG comes followed by SS.
JP and VR enter to find JC and DG sitting in the lounge.
JC leaves with DG, after meeting JP and VR.
DG comes back on his second visit to the lounge finding JP and VR still sitting in the lounge.
VR leaves the lounge, and only JP and DG are left behind in the lounge.
PK enters the lounge and finds only JP and DG sitting in the lounge.
PK leaves, which means that JP and DG must be the last two faculty members to leave the lounge.
DG was sitting with JC when JP entered the lounge.
Hence, option (c).
Workspace:
How many of the seven members did VR meet on Friday in the lounge?
- (a)
2
- (b)
3
- (c)
4
- (d)
5
Answer: Option B
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Text Explanation :
The information can be organised in a tabular form as shown above:
JC arrives first in the lounge, followed by SS and SM.
∴ DG must have followed them as SM met him before he left.
SM leaves after DG comes followed by SS.
JP and VR enter to find JC and DG sitting in the lounge.
JC leaves with DG, after meeting JP and VR.
DG comes back on his second visit to the lounge finding JP and VR still sitting in the lounge.
VR leaves the lounge, and only JP and DG are left behind in the lounge.
PK enters the lounge and finds only JP and DG sitting in the lounge.
PK leaves, which means that JP and DG must be the last two faculty members to leave the lounge.
VR met JC, DG and JP in the lounge on Friday.
Hence, option (b).
Workspace:
Who were the last two faculty members to leave the lounge?
- (a)
JC and DG
- (b)
PK and DG
- (c)
JP and PK
- (d)
JP and DG
Answer: Option D
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Text Explanation :
The information can be organised in a tabular form as shown above:
JC arrives first in the lounge, followed by SS and SM.
∴ DG must have followed them as SM met him before he left.
SM leaves after DG comes followed by SS.
JP and VR enter to find JC and DG sitting in the lounge.
JC leaves with DG, after meeting JP and VR.
DG comes back on his second visit to the lounge finding JP and VR still sitting in the lounge.
VR leaves the lounge, and only JP and DG are left behind in the lounge.
PK enters the lounge and finds only JP and DG sitting in the lounge.
PK leaves, which means that JP and DG must be the last two faculty members to leave the lounge.
JP and DG were the last two faculty members to leave the lounge.
Hence, option (d).
Workspace:
Directions: Answer the questions based on the following information.
Ten coins are distributed among four people P, Q, R and S such that one of them gets one coin, another gets two coins, the third gets three coins and the fourth gets four coins. It is known that Q gets more coins than P, and S gets fewer coins than R.
If the number of coins distributed to Q is twice the number distributed to P, then which one of the following is necessarily true?
- (a)
R gets an even number of coins.
- (b)
R gets an odd number of coins.
- (c)
S gets an even number of coins.
- (d)
S gets an odd number of coins.
Answer: Option D
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Text Explanation :
It is given that Q > P and R > S.
Q P R S
4 2 3 1
2 1 4 3
The distribution of coins can be of two types in both the cases, S gets an odd number.
Workspace:
If R gets at least two more coins than S, then which one of the following is necessarily true?
- (a)
Q gets at least two more coins than S.
- (b)
Q gets more coins than S.
- (c)
P gets more coins than S.
- (d)
P and Q together get at least five coins.
Answer: Option B
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Text Explanation :
P Q R S
1 3 4 2
2 4 3 1
Clearly, Q gets more coins than S in both the cases.
Workspace:
If Q gets fewer coins than R, then which one of the following is not necessarily true?
- (a)
P and Q together get at least four coins.
- (b)
Q and S together get at least four coins.
- (c)
R and S together get at least five coins.
- (d)
P and R together get at least five coins.
Answer: Option A
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Text Explanation :
R S Q P
4 2 3 1
4 1 3 2
4 3 2 1
Looking at the possible distribution of coins, we find that option (a) is not always true.
Workspace:
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