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

Conclusions:

I. All wood can be ant → False ( as the only drum is wood, which means all wood is drum, and wood can form only positive relation with drum, not with other elements. Hence, All wood can be ant is false).

II. All ant can be drum → True ( as there is no relation between ant and drum. so, it is possible. Hence, all ant can be drum is true).

Hence, Only II follows is the correct answer.

The least possible Venn Diagram for the given data:

Conclusions:

I. All graphite being marble is a possibility → True (it is possible for all graphites to be marble as it does not violate any statement.)

II. Some stones being tiles is a possibility → True (it is possible for some stones to be tiles as it does not violate any statement.)

Hence, "both conclusions follow."

Solution:

The least possible diagram for the given statements is as follows

Conclusions:

I. At least some dog are cat → False (It is possible but not definite, as no direct relation between the two is given).

II. Some cat is definitely not dog →  False (It is possible but not definite,  as no direct relation between the two is given).

Here, both conclusions are not complementary conclusions as shown in the below possible diagram,

Here, both conclusion I and II is false so it is not "either or" case.

Hence, Neither I nor II follows.

The logic follows here is :-

Given series :

Left side E 4 W 2 G 6 @ S 5 8 X A ! I M 9 & Q ^ J L # 7 * C $ G V % K Right side

 8^th to the right of 14^th from the left end → 14^th from left end + 8^th to right of 14^th → 22^nd from left end 

Clearly, 22^nd from left end is '#'.

Thus, the correct answer is "#"$.

The logic follows here is :-

Given series :

Left side E 4 W 2 G 6 @ S 5 8 X A ! I M 9 & Q ^ J L # 7 * C $ G V % K Right side

Vowels that are which is immediately preceded by a symbol and immediately followed by a consonant is :

E 4 W 2 G 6 @ S 5 8 X A ! I M 9 & Q ^ J L # 7 * C $ G V % K

Hence, there is only one vowel which is immediately preceded by a symbol and immediately followed by a consonant.

Thus, the correct answer is "One".

The logic follows here is :-

Given series :

E 4 W 2 G 6 @ S 5 8 X A ! I M 9 & Q ^ J L # 7 * C $ G V % K

Here, the group formed is second element is +4 element of first element and third element is -2 of second element.

Hence, &^M does not belong to the group.

Thus, the answer is "&^M"$.

The logic follows here is :-

Given series :

E 4 W 2 G 6 @ S 5 8 X A ! I M 9 & Q ^ J L # 7 * C $ G V % K

If all numbers are dropped the series is :

E W G @ S X A ! I M & Q ^ J L # * C $ G V % K

Therefore, 8^th from left end is '!'.

Thus, the correct answer is "!".

The logic follows here is :-

Given series :

E 4 W 2 G 6 @ S 5 8 X A ! I M 9 & Q ^ J L # 7 * C $ G V % K

Symbols which are immediately preceded by a number and followed by an alphabet is :

E 4 W 2 G 6 @ S 5 8 X A ! I M 9 & Q ^ J L # 7 * C $ G V % K

Hence, there are three symbols which are immediately preceded by a number and followed by an alphabet.

Thus, the correct answer is "Three".

Given word: CATASTROPHE

The alphabets are positioned as in the following order,

The given word can be represented as follows,

In forward direction: ST, OP.

In backward direction: OT, PR.

Hence, there are 4 pairs of letters.

Given: Eight persons namely A, B, C, E, F, G, H, and K  are buying groceries but not necessarily in the same order.

Based on the conditions given, we get the following possibilities:

1. Only two persons buy before A. 

The number of persons who bought groceries between A and G is two.

Combining these, we get-

2. G buys immediately after F. 

K buys immediately before F.

Combining these, we get-

3. The number of persons who bought between H and C is zero with C buying after H. 

Only one person buys after E.

Combining these, we get the final arrangement as follows:

Therefore, we see that B is the last person to buy groceries. 

Hence, B is the last person to buy.