What is the sum of height of all the boxes which are placed in the middle of each stack ........

Logical Reasoning(SBI-PO) Puzzle Test

Direction: Read the following information carefully and answer the question asked below. There are three stack of boxes viz Stack 1, Stack 2 and Stack 3 height of each stack is 300 cm and number of boxes in each stack is same. Two boxes are placed between A and C. C is kept at the bottom of Stack 2. G is not kept in the same stack in which A kept. Height of G is 36 cm.

O is immediately below G and only one box is kept below O. Less than two boxes are kept below F. F’s height is an even number and more than G. F is not immediately above C. Height of F is less than 40 cm. Sum of box immediately below F and immediately below D is 113 cm. As many boxes below F as below D. Only three boxes are kept between B and E. E is kept at the bottom but not at the Stack 3. Height of box at the top of the Stack 1 is 50. G is not kept in the same stack in which B kept. Number of boxes above G is same as below G. Only one box is kept between J and M. M is not at the top. More than one box is kept between X and Z. Height of Z is 63 cm. Number of boxes above X is same as number of boxes above W. U is one of the boxes. Height of U is same as height of W. N is not placed at the top

Difference between the height of box C and G is 25 cm. Height of box C is greater than G. Height of M is 15 cm less than height of E. Sum of top and bottom box of stack 2 is 153 cm. Difference of A and D is 8 cm. Height of D is more than that of A. N height 16 more than D’s height. Height of X is 3 cm more than height of A.

What is the sum of height of all the boxes which are placed in the middle of each stack?

This questions was previously asked in

SBI PO Mains (20 Jul, 2019)

View All SBIPO Previous Year Papers

148 cm

159 cm

227 cm

190 cm

170 cm

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Explanation:

Let’s break it down:

- Each stack is 300 cm tall and has the same number of boxes.

- C is at the bottom of Stack 2. E is at the bottom but not Stack 3 (so E is bottom of Stack 1).

- G is 36 cm; C is 25 cm more than G, so C must be 61 cm.

- Only one box is below O; so O is second from the bottom. G is immediately above O, so G is third from bottom.

- Less than two boxes below F means F is at the bottom or second from bottom.

- Number of boxes above G is the same as below. With three boxes below (C, O, G), there will be three boxes above—so seven boxes per stack.

- The middle box in a stack of seven boxes is the fourth box (since three below, three above).

- We need to find the heights of the boxes placed in the middle (4th position from bottom) in each stack, sum them up, and check which option matches.

From all clues:

- Stack 1 bottom is E.

- Stack 2 bottom is C (61 cm).

- Stack 3, bottom is unknown.

- Heights: G = 36 cm, F is even and more than 36 but less than 40. F = 38 cm makes sense.

- Z is 63 cm.

- U and W have equal heights.

Now, middle boxes (4th position) in each stack:

Let’s try to figure them out one by one:

You’re asked what is the sum of the heights of all boxes which are placed in the middle of each stack.

Jumping to the real answer:

- Middle of each stack (4th box) is: Stack 1 (W), Stack 2 (G), Stack 3 (D).