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📌 Section 1 is Logical reasoning specially designed for CAT
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SET 1 — 🔍 CAT Level
Seven students – A through G – were asked about their visits to the college library on a particular day.
The following are the responses they gave.
A: I went to the library only once, that too for a short while and met B, D and E there.
B: I was the first to enter the library, and A and D were the next two to enter. E left the library with me and at that time F and G were there in the library.
C: I went to the library only once and at that time E and F were already there. I left before them.
D: I left immediately after A left.
E: When I visited the library for the first time, I met A, B, D, F and G there. B left with me. When I visited for the second time, F and G were there.
F: When G and I entered the library, there was B and one more person there.
G: I do not remember any details of my visit.
Question 1
Who among the following was inside the library when F entered?
A. A
B. E
C. C
D. G
Question 2
Who among E and F entered the library first?
A. E
B. F
C. Both entered at the same time.
D. Cannot be determined.
Question 3
Who were the last two people to leave the library?
A. C and F
B. E and G
C. E and F
D. F and G
Question 4
How many people did G meet in the library?
A. 2
B. 3
C. 4
D. 5
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✅ Answers & Explanations
Let us construct the complete sequence carefully using all the statements.
Step 1: B is the first person to enter
B says:
"I was the first to enter the library, and A and D were the next two to enter."
Therefore:
B enters first → A and D enter next
The exact order between A and D is not specified.
People present:
A, B, D
Step 2: E enters for the first time
A says:
"I went to the library only once... and met B, D and E there."
Therefore, E must enter while A, B and D are still present.
So:
E enters
People present:
A, B, D, E
This also satisfies the first part of E's statement that during her first visit, she met A, B and D.
Step 3: A leaves, followed immediately by D
D says:
"I left immediately after A left."
Therefore:
A leaves → D leaves immediately afterwards
Now the people remaining in the library are:
B and E
Step 4: F and G enter together
F says:
"When G and I entered the library, there was B and one more person there."
At this point, the two people present are B and E.
Therefore:
F and G enter together
People present now:
B, E, F, G
This also satisfies E's statement that during her first visit, she met:
A, B, D, F and G
Step 5: B and E leave together
B says:
"E left the library with me and at that time F and G were there in the library."
Therefore:
B and E leave together
People remaining:
F and G
This completes E's first visit.
Step 6: E enters for the second time
E says:
"When I visited for the second time, F and G were there."
Therefore, while F and G are still inside:
E enters again
People present:
E, F, G
Step 7: G leaves
For the later clues to be satisfied, G leaves at this point.
People remaining:
E and F
Step 8: C enters
C says:
"I went to the library only once and at that time E and F were already there. I left before them."
Therefore, after G leaves:
C enters
People present:
C, E, F
Notice that C does not meet G.
Step 9: C leaves
C explicitly says that C left before E and F.
Therefore:
C leaves
People remaining:
E and F
Step 10: E and F are the last two to leave
Since C has already left and only E and F remain, the final two people to leave the library are:
E and F
Complete Sequence
A possible complete sequence is:
1. B enters
2. A and D enter
3. E enters – first visit
4. A leaves
5. D leaves immediately after A
6. F and G enter together
7. B and E leave together
8. E enters – second visit
9. G leaves
10. C enters
11. C leaves
12. E and F leave last
Answers to the Questions
1. Who among the following was inside the library when F entered?
F says that when F and G entered, B and one more person were already present.
That person was E.
✅ Answer: B. E
2. Who among E and F entered the library first?
E was already present when F entered with G.
Therefore, E entered before F.
✅ Answer: A. E
3. Who were the last two people to leave the library?
During E's second visit:
E, F and G were initially present.
G leaves, after which C enters. C then leaves before E and F.
Therefore, the last two people remaining are:
E and F
✅ Answer: C. E and F
4. How many people did G meet in the library?
G enters together with F.
At that time, B and E are already present.
Therefore, G meets:
B
E
F
G leaves before C enters, so G does not meet C. A and D had already left before G entered.
Therefore, G met 3 people.
✅ Answer: B. 3
⚡ Brain teasers are not just about getting the right answer — they train you to think differently under pressure.
Stay consistent with your daily practice, challenge your assumptions, and keep sharpening your reasoning skills.
See you in tomorrow’s challenge!