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Seven boxes D, E, F, U, V, W and X are kept one over the other but not necessarily in the same order. Only five boxes are kept below X. Only three box
Question

Seven boxes D, E, F, U, V, W and X are kept one over the other but not necessarily in the same order. Only five boxes are kept below X. Only three boxes are kept between F and X. V is kept at one of the positions below F. Only E is kept between X and W. D is kept at one of the positions above X. How many boxes are kept between V and D?

A.

Four

B.

Five

C.

Two

D.

Three

Correct option is B

Given:
• Seven boxes (D, E, F, U, V, W, and X) are kept one over the other.
• Only five boxes are kept below X.
• Only three boxes are kept between F and X.
• V is kept at one of the positions below F.
• Only E is kept between X and W.
• D is kept at one of the positions above X.

From the given information arrangement will be.
1. Number the positions 1 to 7 from bottom to top (7 being the top-most position and 1 being the bottom-most position).
2. "Only five boxes are kept below X" means X is placed at the 6th position.
3. "Only three boxes are kept between F and X". Counting downwards from X (6th position), F must occupy the 2nd position ($6 - 3 - 1 = 2$).
4. "V is kept at one of the positions below F". Since F is at the 2nd position, the only position below it is the 1st position. Thus, V is at the 1st position.
5. "Only E is kept between X and W". With X at the 6th position, W must be at the 4th position so that E can occupy the 5th position exactly between them.
6. "D is kept at one of the positions above X". The only remaining position above X (6th position) is the 7th position. Thus, D is at the 7th position.
7. The remaining box U occupies the vacant 3rd position.


The final vertical arrangement from top to bottom is:


The boxes kept between V (1st position) and D (7th position) are F, U, W, E, and X. Thus, there are 5 boxes between them.


Final Answer Statement:
Five boxes are kept between V and D.


Conclusion:
Thus, the correct option is (B).


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