Persons -P, Q, R, S, T, U, and V

1. P’s examination is on Friday.

2. Only one person has an examination between P and S.(So, S’s examination can be on Wednesday or on Sunday)

3. Q has an examination just before S.(So Q’s examination can be on Tuesday or on Saturday)

Case I-

Case II-

4. As many persons have an examination before Q as after V.(So, V’s examination can be on Saturday or on Tuesday)

5. Not more than one person has examination between S and T. (So, case II is eliminated and T’s examination can be Monday or on Thursday)

Case I -

6. Only two persons have examination between R and U but U’s examination is not after R’s examination.

According to the table:

Hence, three persons have examinations between R and S.

The positions of letters according to the English alphabet series:

Given words are:  NPI   FOG   NOP   ZBE   KGF

1) Changing the first alphabet to the next alphabet as per English alphabetical order:

OPI   GOG   OOP   ABE   LGF

2) Clearly, three words OPI, OOP, ABE   have two vowels.

Note: In the English alphabetical series there are 5 vowels i.e. A, E, I, O, U else all are consonants.

Hence, Three words having two vowels will be formed.

Boxes: A, B, C, D, E, F, and G.

1) There are  3 boxes between D and E.

2) Box E is kept above box D.

3) Box C is kept just above the box E.

4) There are 2 boxes between box G and box F.

5) Box A is kept in an odd number place.

6) Box B is kept one box above the box G.

Now case 2 did not follow the above-mentioned information, so terminated, as B can't be placed above G as no space left for B to be placed.

Box B will be place at 3rd position as It is given Box B is placed one box above the box G, which means Box B will be placed immediately above box G, which is possible only when Box B is placed at 3rd position.

Now only position is left that is 5th position so Box A will be placed on 5th position and also 5 is a odd number so this condition is also satisfied here.

Hence, box C is kept in the first position

The positions of letters according to the English alphabet series:

Given words are:  NPI   FOG   NOP   ZBE   KGF

1) Interchanging the second and last letter of each word:

NIP   FGO   NPO   ZEB   KFG

2) Clearly, two words FGO, NPO ending with a vowel.

Note: In the English alphabetical series there are 5 vowels i.e. A, E, I, O, U else all are consonants.

Hence, two words are ending with a vowel.

The positions of letters according to the English alphabet series:

Given words are:  NPI   FOG   NOP   ZBE   KGF

1) Arranging words according to the dictionary order from left to right:

Left side: FOG   KGF   NOP   NPI   ZBE :Right side

Hence, NPI is 2^nd from the right end after arranging words according to the dictionary order from right to left.

The positions of letters according to the English alphabet series:

Given words are:  NPI   FOG   NOP   ZBE   KGF

1) Changing all the letters to immediate succeeding letters as per English alphabetical order:

OQJ   GPH   OPQ   ACF   LHG

2) Clearly, two words GPH, LHG has no vowel.

Note: In the English alphabetical series there are 5 vowels i.e. A, E, I, O, U else all are consonants.

Hence, Two words have no vowel after all the letters replaced by immediate succeeding letters as per English alphabetical order.

i) P  ≥ J: True (P ≥ Q = K ≥ J)

II) P > R: True (P ≥ Q = K > R)

Hence, both follow.

Given statements: P > Q = R ≥ S, V ≥ T ≤ U = S

On combining: P > Q = R ≥ S = U ≥ T ≤ V

Conclusions: 

I. R ≥ T - True (As R ≥ T)

II. P > U - True (As P > Q = R ≥ S = U make P > U)

Hence, both conclusion I and II follows.

Given statements: A > J ≤ P; Q > R = T < P

On combining: A > J ≤ P > T = R < Q  

I. A > R → False (A > J ≤ P > T = R → thus clear relation between A and R cannot be determined)

II. J < Q → False (J ≤ P > T = R < Q  → thus clear relation between J and Q cannot be determined)

Therefore, neither I nor II is true

Hence, two pairs are there in the word ‘ROCKSTAR’, each of which has as many letters between them in the word (both forward and backward direction) as they have between them in the English Alphabet.