Study the information carefully and answer the questions given below. Six…
2024
Study the information carefully and answer the questions given below.
Six persons i.e. A, B, C, D, E and F sit in row such that all of them face in the north direction. They all like different fruits i.e. Mango, Strawberry, Guava, Orange, Apple and Banana but not necessarily in the same order.
The one who likes Strawberry sits at the right end. B sits 3rd to the left of the one who likes Guava. A sits 2nd to the left of the one who likes Mango, and likes Banana. C sits 3rd to the right of E but not sit at any extreme ends. There are as many persons sit to the right of D is same as to the left of the one who likes Apple.
Which of the following statement is true?
- A.
C sits to the immediate left of the one who likes Apple.
- B.
The one who likes Mango sits 3rd from the extreme right end.
- C.
B likes Orange.
- D.
A sits third to the left of D.
- E.
None is true
Attempted by 1 students.
Show answer & explanation
Correct answer: D
Concept
In a single-row, all-facing-north arrangement, number the seats 1 to 6 from left to right; for a north-facing person the seat to their left has the smaller number and the seat to their right has the larger number. The method is to pin the fixed clue first (an end position), then test each possibility for the strongest relative clues ("k-th to the left/right of"), discarding any case that clashes with a later clue, and finally use the elimination clue to lock the only consistent layout.
Applying the clues
"Strawberry sits at the right end" fixes Strawberry at seat 6.
"C is 3rd to the right of E" with C not at an end: the E-C pair can be (1,4), (2,5) or (3,6); (3,6) puts C at an end, so it is dropped, leaving (E,C) = (1,4) or (2,5). Test (E=1, C=4): the remaining seats {2,3,5,6} go to A, B, D, F. "B is 3rd to the left of Guava" needs B+3 to be a Guava seat: B=2 gives Guava=5, or B=3 gives Guava=6 — but seat 6 already holds Strawberry, so B=3 is out, leaving B=2 and Guava=5. That leaves only seats {3,5,6} for A, D, F; seats 5 and 6 already hold Guava and Strawberry, so A (who likes Banana) must be at 3. Then "A is 2nd to the left of Mango" needs Mango at seat 5 — but seat 5 already holds Guava, a direct contradiction. So (E=1, C=4) fails completely, and the only workable pairing is E=2, C=5; this forces A, B, D, F into seats 1, 3, 4, 6.
"B is 3rd to the left of the Guava person": B and Guava are three seats apart with B on the left, so B=1 with Guava at 4, or B=3 with Guava at 6. Seat 6 holds Strawberry, so Guava cannot be there; hence B=1 and Guava is at seat 4.
With B=1, E=2, C=5, the clue "A is 2nd to the left of Mango" places A=3 and Mango at seat 5, so C likes Mango. The remaining seats 4 and 6 take F and D; the last clue decides the order.
"Persons to the right of D equal persons to the left of the Apple person." If D=4, two persons sit to its right, so Apple would need two persons to its left, i.e. Apple at seat 3 — but seat 3 (A) already likes Banana, a contradiction, so D=4 fails. If D=6, zero persons sit to its right, so Apple needs zero to its left, i.e. Apple at seat 1 (B); this is consistent. Hence D=6, F=4, and Apple is at seat 1.
Final arrangement (left to right)
Seat | 1 | 2 | 3 | 4 | 5 | 6 |
|---|---|---|---|---|---|---|
Person | B | E | A | F | C | D |
Fruit | Apple | Orange | Banana | Guava | Mango | Strawberry |
Cross-check
A is at seat 3 and D is at seat 6, so A is exactly three seats to the left of D — the statement “A sits third to the left of D” holds. Every other listed statement fails against this grid, so it is the only true one. All five original clues are satisfied by this layout, confirming the result.