Question
Seven boxes, B, F, G, H, R, T and Y, kept one over the other, but not necessarily in the same order.
R is kept immediately above H. G is kept immediately above T. Only one box is kept between H and T. T is kept above R. Only one box is kept below Y. G or B are not kept at the top.
How many boxes are kept above T?
The correct answer is
2
Boxes Arrangement Analysis
The problem requires determining the stacking order of seven boxes (B, F, G, H, R, T, Y) based on given constraints and finding how many boxes are above box T.
Constraint Analysis
- R is immediately above H. (Implies RH pair)
- G is immediately above T. (Implies GT pair)
- Only one box is between H and T.
- T is above R.
- Only one box is below Y. (Implies Y is at position 2)
- G or B is not at the top.
Arrangement Derivation
- From "T is above R" and "R is immediately above H", we deduce the order T ... R H.
- From "G is immediately above T", we get G T ... R H.
- The constraint "Only one box is between H and T" combined with T being above R H means R must be the single box between T and H. This forms the block T R H.
- Combining G T and T R H gives a definite block: G T R H (4 boxes).
- "Only one box is kept below Y" means Y must be at the second position from the bottom (Position 2).
- The 7 positions are: 7 (Top), 6, 5, 4, 3, 2, 1 (Bottom).
- We place Y at Position 2. Position 1 must be occupied by one of the remaining boxes (B or F).
- We place the G T R H block. To accommodate Y at 2 and have 7 boxes, the block can occupy positions 6, 5, 4, 3.
- This gives: Pos 7 = ?, Pos 6 = G, Pos 5 = T, Pos 4 = R, Pos 3 = H, Pos 2 = Y, Pos 1 = ?.
- The remaining boxes are B and F. They must occupy positions 7 (Top) and 1.
- Constraint: "G or B are not kept at the top".
- If B is at the top (Position 7), it violates the constraint.
- Therefore, F must be at the top (Position 7), and B must be at the bottom (Position 1).
Final Stack Order
The complete order from top (7) to bottom (1) is:
- Position 7: F
- Position 6: G
- Position 5: T
- Position 4: R
- Position 3: H
- Position 2: Y
- Position 1: B
Boxes Above T
Box T is at Position 5. The boxes above it are at Positions 6 (G) and 7 (F).
There are 2 boxes kept above T.
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Important Questions from Puzzle (Notes)
- Four individuals - P, Q, R and S - are suspects in a theft case. They make the following statements :
P says: "Q is guilty."
Q says: "R is guilty."
R says: "P is innocent."
S says: "I am innocent"
If it is known that exactly one of them is guilty, and only the guilty person lies (all innocent people tell the truth), then who is the guilty one? - There are five men - A, B, C, D and E, six women P, Q, R, S, T and Z. A, B, and R are advocates. S, Q, P, D and C are doctors and the rest are teachers. A team has to be selected from these eleven persons subject to the following conditions:
(I) A, P and Z have to be together.
(II) B cannot go with D or R.
(III) E and Q have to be together.
(IV) C and T have to be together.
(V) D and P cannot go together.
(VI) C cannot go with Q.
If the team formed consists of two male advocates, two lady doctors and one teacher, the members of the team can be: - Read the following informations and answer the question given below :
A total of nine cards consisting of four kings, four queens and one joker are distributed among three persons P, Q and R such as :
I. Q has two cards, P has three cards and R has four cards.
II. Person, who has maximum number of cards, does not have the joker.
III. Each one has atleast one king while Q has two kings.
Who has three queens ? Consider the following information regarding a 3-digit PIN.
The correct PIN is- A boatman on a bank of a river has to carry a dog, a cat and a container full of milk to the other bank in a boat, one at a time. The cat cannot be left alone with the milk or with the dog on either bank. What is the minimum number of times the boatman has to cross the river to carry all to the other bank?
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