Given words are: EAQ   TEX   AGD   WUY   INJ

1) Replacing last letter of each word to immediate succeeding letter as per alphabetical series:

EAR   TEY   AGE   WUZ   INK

2) Clearly, three English meaningful words EAR, AGE, INK are formed.

Hence, three meaningful words are formed.

Given words are: EAQ   TEX   AGD   WUY   INJ

1) Arranging alphabets within the word in English alphabetical order:

AEQ   ETX   ADG   UWY   IJN

2) Clearly, all words begin with a vowel.

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

Hence, all words begin with a vowel.

Given words are: EAQ   TEX   AGD   WUY   INJ

1) Arranging words in the order as they appear in a dictionary from left to right :

Left side   AGD   EAQ   INJ   TEX   WUY   Right side

Hence, INJ will be third from right.

Given words are: EAQ   TEX   AGD   WUY   INJ

1) Changing second alphabet to next alphabet as per English alphabetical series:

EBQ   TFX   AHD   WVY   IOJ

2) Clearly, 3 words EBQ, AHD, IOJ have vowel.

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

Hence, three words having vowels will be formed.

Given words are: EAQ   TEX   AGD   WUY   INJ

1) Interchanging second and last letter of each word:

EQA   TXE   ADG   WYU   IJN

2) Clearly, 2 words ADG, IJN end with a consonant.

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

Hence, two words end with a consonant.

Word is : U N I V E R S I T Y

Vowels and then consonants arranged alphabetically- E I I U N R S T V Y

Vowels replaced by the next letter and consonants replaced by the previous letter- F J J V M Q R S U X

Letter fifth from the left end - F J J V M Q R S U X

Fifth letter from the left end here is M.

Given statements: H ≤ A ≥ B; I = B ≥ E > G

On combining: H ≤ A ≥ B = I ≥ E > G

Conclusions:

I. E > H → False (H ≤ A ≥ B = I ≥ E, there is no clear relation between E and H because of the opposite sign between E and H).

II. H > B → False (H ≤ A ≥ B = I ≥ E, there is no clear relation between H and B because of the opposite sign between H and B).

Hence, Neither I nor II follows.

We have drawn the figure according to the information given in the question,

Now distance between G and E is = 5 + 8 = 13 km.

Given Statements: X ≤ Y = Z > A = B < C > D > E ≥ F

Conclusions: 

I. X < Z → False ( X ≤ Y = Z ). Thus, it is not definite that X will be smaller to Z.

II. X = Z → False ( X ≤ Y = Z ). Thus, it is not definite that X will be equal to Z.

Since X ≤ Z is true. Both the conclusions together form complementary pair. So, either conclusion I or II definitely follows.

Hence, the correct answer is either conclusion I or II follows.

Statement:

A < M < X = T > V  ≤ S ≤ H = G < O 

Conclusions:

I. T > A → True (A < M < X = T → A < T → T > A)

II. S < O → True (S ≤ H = G < J ≤ O → S < O) 

Hence, Both Conclusion I and II follows