The least possible Venn diagram for the given statements is as follows

Conclusions:

I. Some water can be Fire → True (as there is no relation between water and Fire, so it is possible. Hence, Some water can be Fire is true).

II. Some Fire is water → False (as there is no relation between Fire and water so it is possible nut it's not definite. Hence, Some Fire is water is false).

Hence, Only I follow is the correct answer.

The least possible diagram for the given statements is as follows;

Conclusions:

I. Some Mobiles are Bags → False (As No Mobile is Bag, no part of Mobile will be Bag. So, it is false)

II. All Mobiles are Bags → False (As No Mobile is Bag, no part of Mobile will be Bag. So, it is false)

Hence, Neither conclusion I nor II follows.

The least possible diagram for the given statements is as follows;

Conclusions:

I. Some Pens are Book → True (because Only a few Pens are Book → Some Pens are Book and Some Pens are not Book. So, It is true)

II. Some Pens are not Book → True (because Only a few Pens are Book → Some Pens are not Books and Some Pens are Book. So, It is true)

Hence, Both conclusions I and II follow.

Given series:

Left Side A C B @ K I 9 D L 4 © 5 2 T $ M 4 J # U 3 1 A δ K 5 V W 6 % F Q 7 H P Right Side

Alphabets which are immediately preceded by an alphabet and followed by a symbol:

Required order is: Alphabet → Alphabet → Symbol

A C B @ K I 9 D L 4 © 5 2 T $ M 4 J # U 3 1 A δ K 5 V W 6 % F Q 7 H P

Hence, there is only one alphabet which is immediately preceded by an alphabet and followed by a symbol: C B @.

Given series:

Left Side A C B @ K I 9 D L 4 © 5 2 T $ M 4 J # U 3 1 A δ K 5 V W 6 % F Q 7 H P Right Side

Required order: First A → → Consonant → Number → Consonant → → W

A C B @ K I 9 D L 4 © 5 2 T $ M 4 J # U 3 1 A δ K 5 V W 6 % F Q 7 H P 

Hence, there are 2 such numbers.

Given series:

Left Side AC B @ K I 9 D L 4 © 5 2 T $ M 4 J # U 3 1 A δ K 5 V W 6 % F Q 7 H PRight Side

Vowels which are immediately followed by a symbol but not immediately preceded by a number:

required order is: Not number → Vowel → Symbol

A C B @ K I 9 D L 4 © 5 2 T $ M 4 J # U 3 1 A δ K 5 V W 6 % F Q 7 H P

Hence, there is no vowel which are immediately followed by a symbol but not immediately preceded by a number.

Hence, the correct answer is none.

Given series:

Left Side A C B @ K I 9 D L 4 © 5 2 T $ M 4 J # U 3 1 A δ K 5 V W 6 % F Q 7 H P Right Side

15^th from the left → $

15^th from right → 3

Terms between $and 3 are M 4 J # U

Therefore, J is exactly in middle of $and 3.

Hence, J is exactly in middle between the fifteenth from the left end and the fifteenth from the right end in the above arrangement.

Given series:

Left Side A C B @ K I 9 D L 4 © 5 2 T $ M 4 J # U 3 1 A δ K 5 V W 6 % F Q 7 H P Right Side

As, Right – Right = Right

6^th from the Right – 5^th from the Right = 1^st from the Right

Clearly, 1^st from the Right is P.

Hence, P is the fifth to the right of the sixth element from the right end of the above arrangement$.

So, we get HI, GH, ST, and EG

Hence, we have 4 pairs of letters as in the English alphabetical series.

Given words: NGX      FHZ      TJU      DOU      WCM

1. Replacing first and last letter to immediate preceding letter:

MGW   EHY   SJT   COT   VCL

2. Clearly, there are two words EHY and COT which have only one vowel.

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

Hence, two words have only one vowel after rearrangement.