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Question

Seven boxes, G, H, I, J, O, K, and L, are kept one over the other, but not necessarily in the same order. J is kept second from the bottom. Only three boxes are kept between J and I. K is kept at one of the positions below J. Only G is kept between I and L. H is kept at one of the positions above I. How many boxes are kept between O and K?

The correct answer is
One

The problem asks us to determine the number of boxes between boxes O and K based on a set of clues about their vertical arrangement.

Deducing Box Positions

Let's denote the positions from bottom to top as 1, 2, 3, 4, 5, 6, 7. We will use the clues to determine the position of each box:

  • Clue 1: J is second from the bottom. So, J is at position 2.
    Positions: 7: ?, 6: ?, 5: ?, 4: ?, 3: ?, 2: J, 1: ?
  • Clue 2: Only three boxes are between J and I. Since J is at position 2, I must be above J. The positions between them are 3, 4, and 5. Therefore, I is at position 6.
    Positions: 7: ?, 6: I, 5: ?, 4: ?, 3: ?, 2: J, 1: ?
  • Clue 4: Only G is kept between I and L. With I at position 6, G must be directly below I (position 5) and L directly below G (position 4) to satisfy the condition.
    Positions: 7: ?, 6: I, 5: G, 4: L, 3: ?, 2: J, 1: ?
  • Clue 5: H is kept at one of the positions above I. Since I is at position 6, the only position above is 7. So, H is at position 7.
    Positions: 7: H, 6: I, 5: G, 4: L, 3: ?, 2: J, 1: ?
  • Clue 3: K is kept at one of the positions below J. J is at position 2. The only position below is 1. So, K is at position 1.
    Positions: 7: H, 6: I, 5: G, 4: L, 3: ?, 2: J, 1: K
  • Final Placement: The only remaining box is O, and the only remaining position is 3.
    Final Arrangement (Bottom to Top): K (1), J (2), O (3), L (4), G (5), I (6), H (7).

Calculating Boxes Between O and K

We need to find the number of boxes between O and K.

  • O is at position 3.
  • K is at position 1.
  • The box(es) between position 3 and position 1 is/are at position 2.
  • The box at position 2 is J.
  • Therefore, there is exactly one box between O and K.
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Important Questions from Puzzle (Notes)

  1. 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?
  2. 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:
  3. 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 ?
  4. Consider the following information regarding a 3-digit PIN.

    The correct PIN is

  5. 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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