Question

Where is E?

• A. Between A and B
• B. Between A and C
• C. Between D and C
• D. Between F and C
• E. Between F and B
• A. A
• B. B
• C. C
• D. D
• J. E
• A. A
• B. B
• C. C
• D. D
• O. E
• A. A
• B. B
• C. C
• D. D
• T. E

Answer 1

The Correct Option is C

Concept: Arrangement based on relative positions.
Step 1: Arrange extremes.} Shortest in front, tallest at back.
Step 2: Use given relations.} F between B and A. E between D and C (based on height relation).
Step 3: Apply spacing rule.} E and F have two people between them.
Step 4: Test placements.} Only valid arrangement satisfies E between D and C.
Step 5: Conclusion.} Hence, E lies between D and C.

Answer 2

Concept: Linear arrangement (height order).
Step 1: Arrange known relations.
\[ D>E>C>A \]
Step 2: Use condition.

• F is between B and A
• E and F have two persons between them

Step 3: Form valid order.
\[ \text{(Front)} \; C \; A \; F \; B \; E \; D \; \text{(Back)} \]
Step 4: Identify tallest.

• Last position = tallest = D

Conclusion:
Thus, the tallest is
D.

Answer 3

Concept: Linear arrangement based on height with multiple constraints.
Step 1: Understand ordering.
Shortest is at position 1 and tallest at position 6.
Step 2: Use height relations.
Given: A<C<E<D
Step 3: Try placing these four in order.
Possible placement: A (3), C (4), E (5), D (6)
Step 4: Place F and B using conditions.
E and F have two people between them → positions differ by 3. So if E is at 5, F must be at 2. Remaining position for B = 1.
Step 5: Check F between B and A.
Order becomes: B (1), F (2), A (3) → valid.
Step 6: Final arrangement.
B, F, A, C, E, D
Step 7: Identify 4th position from shortest.
4th position = C
Conclusion:
Hence, the required answer is C.

Answer 4

Concept: Linear arrangement based on height using constraints.
Step 1: Use given height relation.
A<C<E<D
Step 2: Assign positions (shortest to tallest).
Positions: 1 (shortest) → 6 (tallest) Try placing: A (3), C (4), E (5), D (6)
Step 3: Apply spacing condition.
E and F have two people between them → if E = 5, F = 2
Step 4: Place remaining person.
Remaining position = 1 → B
Step 5: Verify condition.
F is between B and A → B (1), F (2), A (3)
Step 6: Final arrangement.
B, F, A, C, E, D
Step 7: Identify shortest.
Position 1 (shortest) = B
Conclusion:
Hence, B is the shortest.