Seven boxes E, F, G, H, S, T and U are kept one over the other but not necessarily in the same order. Only H is kept above E. Only T is kept between E and S. Only F is kept below U. How many boxes are kept between G and F?
Box Arrangement Conditions
The problem asks us to determine the vertical arrangement of seven boxes (E, F, G, H, S, T, U) based on specific clues and then find the number of boxes between G and F.
Let's list the given conditions:
- Condition 1: Only H is kept above E. This means H is at a higher position than E ($H > E$).
- Condition 2: Only T is kept between E and S. This implies a contiguous block of three boxes, either E-T-S or S-T-E.
- Condition 3: Only F is kept below U. This means U is at a higher position than F ($U > F$).
Analyzing Possible Box Arrangements
We have 7 positions for the boxes. Condition 2 gives us two possible core structures for the relative order of E, T, and S: E-T-S or S-T-E.
Scenario 1: Exploring the E-T-S Block
If the order involving T is E-T-S:
- From Condition 1 ($H > E$), H must be placed above E. Considering the block E-T-S, H must also be above S. This leads to the relative order $H > S > T > E$.
- From Condition 3 ($U > F$), U must be placed above F.
- We need to arrange the seven boxes (H, E, T, S, U, F, G) into 7 slots, respecting these conditions.
- A possible valid arrangement (from top to bottom) is: H, E, T, S, G, U, F.
- Let's check if this arrangement satisfies all conditions:
- $H > E$: Yes (H is at position 1, E is at position 2).
- E-T-S block: Yes (E is at position 2, T is at position 3, S is at position 4, meaning T is between E and S).
- $U > F$: Yes (U is at position 6, F is at position 7).
- Now, we find the number of boxes between G and F in this arrangement:
- G is at position 5.
- F is at position 7.
- The box at position 6, which lies between G and F, is U.
- Therefore, there is exactly one box (U) between G and F.
Scenario 2: Exploring the S-T-E Block
If the order involving T is S-T-E:
- From Condition 1 ($H > E$), H must be placed above E. Given the S-T-E block, H must be above the entire block (e.g., $H > S > T > E$).
- From Condition 3 ($U > F$), U must be placed above F.
- We need to arrange the seven boxes (H, S, T, E, U, F, G) into 7 slots.
- A possible valid arrangement (from top to bottom) is: H, S, T, E, G, U, F.
- Let's check if this arrangement satisfies all conditions:
- $H > E$: Yes (H is at position 1, E is at position 4).
- S-T-E block: Yes (S is at position 2, T is at position 3, E is at position 4, meaning T is between S and E).
- $U > F$: Yes (U is at position 6, F is at position 7).
- Now, we find the number of boxes between G and F in this arrangement:
- G is at position 5.
- F is at position 7.
- The box at position 6, which lies between G and F, is U.
- Therefore, there is exactly one box (U) between G and F.
Determining Boxes Between G and F
Both potential valid scenarios derived from the conditions confirm that there is exactly one box located between G and F.
Important Questions from Seating Arrangement (Notes)
Read the directions carefully and give the answer from the given options.
P, Q, R, S, T, K, L, M and N are sitting around a circle facing the centre.
K is $4^{th}$ to the right of P and P is $3^{rd}$ to the right of Q.
N is $4^{th}$ to the left of Q and $3^{rd}$ to the right of S.
R is $2^{nd}$ to the right of M and M is the immediate neighbour of P.
T is $2^{nd}$ to the left of L.
Who is to the immediate left of K?
Seven people, F, J, M, L, R, V and X, are sitting in a row, facing north.
Only three people sit to the left of X. Only M sits to the right of R. Only three people sit between R and V. J sits at some place to the left of L but at some place to the right of F.
How many people sit to the left of V?Seven boxes, A, B, C, D, E, F and G, are kept one over the other but not necessarily in the same order. Only A is kept above F. Only D is kept between F and C. Only E is kept below B. How many boxes are kept below C?
P, Q, R, S, T, U and V are sitting in a row, facing north. No one sits to the left of U. Only four people sit between U and R. Only three people sit to the right of V. P sits to the immediate left of S. Q is not an immediate neighbour of V. How many people sit between P and T?
Six people, B, C, D, I, J and K, are sitting around a circular table facing the centre. Only two people sit between B and I when counted from the right of I. K sits to the immediate left of J. I sits to the immediate right of C. Who among the following are the immediate neighbours of D?
