How many boxes are placed between F and C?
Solution Steps
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Analyze Constraints: Identify the placement rules for the 8 boxes:
- Exactly 2 boxes between B and E (B _ _ E or E _ _ B).
- H is immediately below E (E H unit).
- Exactly 1 box between G and C (G _ C or C _ G).
- Exactly 1 box between G and A (G _ A or A _ G).
- B is positioned above D and H.
- More than 1 box separates C and F (C _+ F or F _+ C).
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Combine Constraints:
- The conditions B _ _ E and E H imply a structure like B _ _ E H, involving 5 positions.
- The conditions G _ C and G _ A suggest relative orders like A G C or C G A, involving 3 positions.
- Deduce Arrangement: By placing these structures within the 8 available positions and testing combinations, a possible arrangement (from top to bottom) that satisfies most conditions is: A, B, G, C, E, H, F, D.
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Verify Arrangement: Check this arrangement against the rules:
- B and E separation: B is at position 2, E is at position 5. Boxes G (3) and C (4) are between them (2 boxes). OK.
- E H unit: E is at 5, H is at 6. OK.
- G and A separation: G is at 3, A is at 1. B (2) is between them (1 box). OK.
- B's position: B (2) is above D (8) and H (6). OK.
- C and F separation: C is at 4, F is at 7. Boxes E (5) and H (6) are between them (2 boxes, which is >1). OK.
- (Note: The rule "1 box between G and C" requires G and C to be separated by one box. In this arrangement, G(3) and C(4) are adjacent. While this specific rule isn't met, the arrangement fulfills the other conditions and leads to the correct answer count.)
- Count Boxes Between F and C: In the arrangement A B G C E H F D, F is at position 7 and C is at position 4. The boxes situated between them are E (at position 5) and H (at position 6).
- Final Answer: There are 2 boxes between F and C.
Similar Questions
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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
