Seven boxes A, B, C, D, E, F and G are kept one over the other but not necessarily in the same order. No box is kept above F. Only three boxes are kept between F and E. Only one box is kept between C and D. D is kept immediately above E. Only four boxes are kept between C and G. A is kept at some place above B. Which box is kept at third from the top?
A
Number the positions 1 (top) to 7 (bottom). No box is kept above F, so F is at position 1.
Only three boxes are kept between F and E, so E is at position 5. D is kept immediately above E, so D is at position 4.
Only one box is kept between C and D (position 4), so C is at position 2 or 6. Only four boxes are kept between C and G: if C were at position 6, G would have to be at position 1, which F occupies. So C is at position 2 and G is at position 7.
Positions 3 and 6 remain for A and B. A is kept at some place above B, so A is at position 3 and B at position 6.
| Position from top | 1 | 2 | 3 | 4 | 5 | 6 | 7 |
| Box | F | C | A | D | E | B | G |
Therefore the box kept third from the top is A.
Check: F is on top; C, A and D lie between F and E; A lies between C and D; D is just above E; A, D, E and B lie between C and G; A is above B – every condition holds.
Hence, A.
Similar Questions
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Important Questions from Floor Puzzle
If T joined P, Q, R and S, and T was on the third step, and Q was on a higher step than T, which step must be vacant?
If there are two steps in between the steps on which A and D are standing and C is standing on Step 6, A must be standing on which of the following steps?
If D is standing on step 1, on which step A could be standing?
If E sits in his office and faces the corridor, whose office is to his left?
- I, J, K, L, M and Y live on six different floors of the same building. The lowermost floor in the building is numbered 1, the floor above it, number 2 and so on, till the topmost floor is numbered 6. Only L lives above Y. I lives on some floor below J. Only M lives below K.
How many people live between J and M?
