Seven boxes, A, B, C, D, E, F and G, are kept one over the other, but not necessarily in the same order. Only four boxes are kept between A and E. Only C is kept above A. Only two boxes are kept between G and F. B is kept immediately above D. F is not kept immediately above B. How many boxes are kept below B?
3
Number the positions from top (1) to bottom (7).
"Only C is kept above A" means C is at the top (position 1) and A is immediately below it at position 2.
"Only four boxes are kept between A and E" places E four boxes below A, so E is at position 7 (the bottom).
"Only two boxes are kept between G and F" must fit the remaining positions 3, 4, 5 and 6; placing F at 3 and G at 6 leaves positions 4 and 5 for B and D.
"B is kept immediately above D" gives B at position 4 and D at position 5, which also satisfies "F is not kept immediately above B" since F is at 3 but the pair F-at-3 above B-at-4 is the only forbidden arrangement, so the alternative G at 3 and F at 6 is taken: F at 6, G at 3, keeping B at 4 and D at 5.
The final order from top to bottom is C, A, G, B, D, F, E, with B at position 4.
Below B (position 4) lie D, F and E, which is 3 boxes.
Hence, the number of boxes kept below B is 3.
Similar Questions
Seven boxes, B, D, E, P, S, T and W, are kept one over the other but not necessarily in the same order. Only four boxes are kept between E and W. Only D is kept above E. Only two boxes are kept between P and T. S is kept immediately above B. T is not kept immediately above S. Which box is kept fourth from the top?
Important Questions from Box Puzzle
J, K L, M, N and O are six teachers. Each one teaches a different subject out of Hindi, English, Math, Science, Social Science and Arts, NOT necessarily in the same order. Each of them teaches on only one day, from Monday to Saturday, NOT necessarily in the same order. J teaches Arts on Saturday. L teaches neither English nor Social Science, but he teaches on Thursday. Wednesday is reserved for Maths taught by K. O teaches Science a day before N. Social Science is taught a day before Arts.
Which subject is taught on the day between Thursday and Saturday?
- Five chairs C1, C2, C3, C4 and C5 are placed one above the other. If C1 is above C2, C3 is above C4 but below C5 and C4 is above C1, which chair is in the middle ?
J, K, L, M, N and O are six teachers. Each one teaches a different subject out of Hindi, English, Math, Science, Social Science and Arts, not necessarily in the same order. Each of them teaches on only one day, from Monday to Saturday, not necessarily in the same order. J teaches Arts on Saturday. L teaches neither English nor Social Science, but he teaches on Thursday. Wednesday is reserved for Maths taught by K. O teaches Science a day before N. Social Science is taught a day before Arts. Which subject is taught by L?
J, K L, M, N and are six teachers. Each one teaches a different subject out of Hindi, English, Math, Science, Social Science and Arts, not necessarily in the same order. Each of them teaches on only one day, from Monday to Saturday not necessarily in the same order. J teaches Science on Wednesday. O teaches Math second after J. K teaches on the first day of the week, but teaches neither Hindi nor English. M teaches English before N and L teaches Arts before J. Which subject is taught on Saturday?
Which box is the first from the left?
A. Red
B. White
C. Blue
D. Green
