All Exams Test series for 1 year @ ₹349 only
Question

Seven boxes P, Q, R, S, T, U and V are kept one over the other but not necessarily in the same order. Only four boxes are kept between R and S. Only three boxes are kept between Q and T. V is kept at one of the position above P, but not immediately above P. Q is kept at one of the positions above V. Only two boxes are kept between S and U. How many boxes are kept between R and P?

The correct answer is
Three

Box Arrangement Constraints

We have 7 boxes stacked vertically. Key conditions include:

  • Four boxes between R and S (R and S are 5 positions apart).
  • Three boxes between Q and T (Q and T are 4 positions apart).
  • Two boxes between S and U (S and U are 3 positions apart).
  • V is above P, but not immediately (V >= P + 2).
  • Q is above V (Q > V).

Determining Arrangement: S, U, R

From '2 boxes between S and U' and '4 boxes between R and S':

  • A possible valid setup is S at position 1, U at position 4, and R at position 6.

This fixes:

  • S = Position 1
  • U = Position 4
  • R = Position 6

Remaining positions: {2, 3, 5, 7}. Remaining boxes: P, Q, T, V.

Determining Arrangement: Q, T, V, P

Using '3 boxes between Q and T' (4 positions apart) with remaining positions {2, 3, 5, 7}:

  • Q and T must be at positions 7 and 3 (or 3 and 7).

Consider the constraints Q > V and V >= P + 2:

  • If Q=7 and T=3: The partial arrangement is S _ T U _ R Q. Remaining {2, 5} for P, V.
  • To satisfy Q(7) > V and V >= P + 2, V must be placed at 5 and P at 2. (Check: V=5, P=2 satisfies 5 >= 2 + 2).

This yields the complete arrangement (bottom to top):

Position Box
1S
2P
3T
4U
5V
6R
7Q

Final Calculation

The question asks for the number of boxes between R and P.

  • R is at Position 6.
  • P is at Position 2.
  • The boxes between them are at positions 3, 4, and 5 (T, U, V).

Therefore, there are 3 boxes between R and P.

Was this answer helpful?

Important Questions from Puzzle

  1. Seven friends O, P, Q, R, S, T and U are watching a movie sitting in a row. S is sitting at one extreme end. P is sitting second to the right of S. P is sitting between O and Q. U is NOT sitting at any extreme end. R Is sitting to the immediate left of T. Q does not sit beside S.Who is sitting at the extreme left end?

  2. If a rope 84 m long is divided in the ratio 7 : 5, then the length of the longer piece (in m ) is:
  3. What should come in place of the question mark (?) in the given series? 
    86, 88, 90, 92, 94, ?

  4. 21 is related to 220 by certain logic. Following the same logic, 72 is related to 781. To which of the following is 27 related, following the same logic?

    (NOTE : Operations should be performed on the whole numbers, without breaking down the numbers into its constituent digits. E.g. 13 – Operations on 13 such as adding /deleting /multiplying etc., to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.)

  5. 40 is related to 53 following certain logic. Following the same logic, 8 is related to 13. To which of the following numbers is 68 related, following the same logic? (NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into its constituent digits. E.g. 13 – Operations on 13 such as adding/deleting/multiplying etc., to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.)

Need Expert Advice?

Start Your Preparation with Prepp Mobile App

Download the app from Google Play & App Store
Download the app from Google Play & App Store
Prepp Mobile App