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📌 Section 1 is Logical reasoning specially designed for CAT
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SET 1 — 🔍 CAT Level
In a grid of five columns, the letters – A, B, C, D and E have to be arranged in such a way that each letter must appear in every row and in every column. It is known that:
There are exactly three rows in which B, C and D appear consecutively in the same order.
In row 4 and in exactly one column, A, B, C, D and E appear in the same order.
Question 1
In how many ways the entire grid can be filled?
A. One
B. Two
C. Three
D. More than three
Question 2
Which letter must come in Row 1, Column 2?
A. A
B. C
C. D
D. Cannot be determined
Question 3
Which letter must appear in Row 2, Column 5?
A. D
B. C
C. B
D. A
Question 4
What is the order of the letters that appear in Row 2?
A. D E A B C
B. A C D B E
C. D A E B C
D. E A D B C
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✅ Answers & Explanations
From 2, the representation of letters must be as follows:
1 | 2 | 3 | 4 | 5 | |
|---|---|---|---|---|---|
1 | A | ||||
2 | B | ||||
3 | C | ||||
4 | A | B | C | D | E |
5 | E |
There are two more rows which have B, C and D in the same order. The other two rows must be Row 3 and Row 5.
And after arranging, the position of the remaining letters will be as follows:
1 | 2 | 3 | 4 | 5 | |
|---|---|---|---|---|---|
1 | C | D | E | A | B |
2 | D | E | A | B | C |
3 | E | A | B | C | D |
4 | A | B | C | D | E |
5 | B | C | D | E | A |
1️⃣ In how many ways can the entire grid be filled?
The completed arrangement is uniquely determined.
Answer: A — One ✅
2️⃣ Which letter must come in Row 1, Column 2?
From the grid:
Row 1 = C D E A B
So Row 1, Column 2 = D.
Answer: C — D ✅
3️⃣ Which letter must appear in Row 2, Column 5?
From the grid:
Row 2 = D E A B C
So Row 2, Column 5 = C.
Answer: B — C ✅
4️⃣ What is the order of the letters that appear in Row 2?
Row 2 is:
D E A B C
Answer: A — D E A B C ✅
⚡ 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!