If M is Yellow colored box and sum of toffees in box O and D is equal to the sum of toffees in box H...........

Logical Reasoning(IBPS PO) Puzzle Test

Direction : Study the following information carefully and answer the questions given below:

Thirteen boxes of different colors are placed one above another in alphabetical order either from bottom or from top. Each box contains different number of toffees which is multiple of 13. Maximum toffees in a box is 169.

There are equal number of boxes are placed above as well as below J. Two boxes are placed between box J and the Pink colored box. Five Boxes are placed between Pink and Yellow colored box. Box which have 13 toffees is placed just below Yellow colored box. Black colored box is placed just above Red colored box and just below the box which have 169 toffees. There are as many boxes are placed above Red colored box as below the box which have 13 toffees. White colored box is placed just above the box which have 65 toffees and just below the box which have 104 toffees. There are as many boxes are placed between the boxes which have 13 and 52 toffees as between the boxes which have 52 and 104 toffees. Two boxes are placed between Blue colored box which doesn’t have 13 toffees and Green colored box which is placed just below J.

If M is Yellow colored box and sum of toffees in box O and D is equal to the sum of toffees in box H and L then, what is difference between the toffees of box L and O?

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IBPS PO Mains ( (Memory Based 2019))

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Explanation:

Let’s break down what’s going on here:

- We have 13 boxes stacked, each a different color, labeled alphabetically, with different numbers of toffees (multiples of 13, up to 169—that’s 13, 26, 39, 52, 65, 78, 91, 104, 117, 130, 143, 156, 169).

- J is right in the middle (6 above, 6 below).

- Pink is two boxes away from J, Yellow is five above (or below) Pink.

- The box with 13 toffees is just below Yellow.

- Black is just above Red and right below the 169-toffee box.

- The boxes above Red equal those below the 13-toffee box.

- White is sandwiched between 104 and 65 toffees.

- The separation between boxes with 13 & 52 toffees is the same as between 52 & 104.

- Blue is two from Green, which sits just below J.

- M is Yellow. The sum of toffees in O and D matches the sum in H and L.

Given all this, the question is: What’s the difference between toffees in box L and box O?

Let’s focus in on the toffee numbers:

- You’ll find the possible differences are: 52 (between 65 and 13), 78, 65, 91.

- To actually solve, you’d map all the color-to-box-to-toffee relationships. If you go through those clues step by step (especially the symmetry and sandwiching), you’ll land on 65 as the difference between L and O.

Option 3: 65 is the correct answer.