Directions (76-80) :Study the following information carefully and answer the questions given below:
Nine boxes are placed one above the other. The bottommost shelf is numbered as 1 and just above it is numbered as 2 and so on till the topmost shelf is numbered as 9.
Box C is placed at the position which is a multiple of 3. Three boxes are placed between Box C and Box H. There are as many boxes placed below Box H as above Box L. Box G is placed just above Box E but not placed just below Box C. Box D is placed below Box E. More than two boxes are placed between Box M and Box B. Box F is placed above Box M.
Four of the following five are alike in a certain way and hence form a group. Which of the following does not belong to that group?
Correct Answer :
Box E
Solution :
The correct answer is Box E.
Step-by-step Explanation:
Let us determine the positions of all nine boxes from shelf 9 (topmost) to shelf 1 (bottommost) based on the given information:
1. Position of Box C:
Box C is placed on a shelf numbered as a multiple of 3 (i.e., shelf 3, 6, or 9).
2. Positions of Box H and Box L:
There are three boxes between C and H.
- If C is at 9: H would be at position 5 (9 - 1 - 3 = 5). Below H are 4 boxes (shelves 1-4). Thus, above L there must be 4 boxes, putting L at position 5 (conflict with H).
- If C is at 3: H would be at position 7 (3 + 1 + 3 = 7). Below H are 6 boxes (shelves 1-6). Thus, L has 6 boxes above it, putting L at position 3 (conflict with C).
- If C is at 6: H can be at position 2 (6 - 1 - 3 = 2). Below H are 1 box (shelf 1). Therefore, L has 1 box above it, putting L at position 8.
So, we have:
- Shelf 8: Box L
- Shelf 6: Box C
- Shelf 2: Box H
3. Positions of Box G, E, and D:
- Box G is placed just above Box E (G is immediately above E).
- Box G is not placed just below Box C (G cannot be at position 5).
- Box D is placed below Box E.
Since G cannot be at shelf 5, the pair (G, E) must be on shelves (4, 3) or (9, 8-taken), so (G, E) = (4, 3).
Since D is below E, D must be at shelf 1.
4. Remaining Boxes (F, M, B):
The available empty shelves are 9, 7, and 5.
- Box F is placed above Box M.
- More than two boxes are placed between Box M and Box B.
If M is at shelf 5 and B is at shelf 9 (or vice versa), the number of boxes between them is 3 (shelves 6, 7, 8), which satisfies "more than two boxes".
Since F is above M, F must be at shelf 7, M at shelf 5, and B at shelf 9.
Final Arrangement:
Shelf 9: Box B
Shelf 8: Box L
Shelf 7: Box F
Shelf 6: Box C
Shelf 5: Box M
Shelf 4: Box G
Shelf 3: Box E
Shelf 2: Box H
Shelf 1: Box D
Finding the Odd One Out:
Let us check the shelf positions of the given options:
- Box E is on Shelf 3 (Odd number)
- Box H is on Shelf 2 (Even number)
- Box L is on Shelf 8 (Even number)
- Box C is on Shelf 6 (Even number)
All boxes except Box E are placed on even-numbered shelves. Therefore, Box E does not belong to the group.
Access expert-curated educational resources and study materials—completely free.
Create, conduct, and manage professional online assessments with Mindyard. Perfect for teachers and institutes.
Copyright © 2026 Mindyard. All Rights Reserved.