We analyze the given options and see whether the options can be embedded in the given figure:

The pattern followed here is:

Given: Eight people, A, B, C, D, E, F, G and H are sitting in a straight line, facing north.

1) Only three people sit to the right of A.

Given statement: A < S = M > N = P > L

Conclusions:

I. M > A →  TRUE (as  A < S = M > N = P > L → M > A, clear relationship between M and A can be determined).

II. M < A →  FALSE (as A < S = M > N = P > L → M > A, which is definitely false).

Hence, the correct answer is "Only I is true".

I. Places other than tourist centers need not be kept clean. - The statement only focuses on Tourist centers. There's no mention in the original statement about places other than tourist centers. So Conclusion I doesn't follow.

II. Foreign tourists prefer cleanliness. The statement does not depict the choice or mindset of any foreign tourists. There's no mention of tourists anyhow in the statement. So Conclusion II doesn't follow.

Hence Neither I nor II follows.

The logic followed here is:

Logic: Nymph is a young form of a Cockroach.

Similarly, Tadpole is a young form of a Frog.

Hence, the correct answer is "Frog".

D - E, A - D, L - N, and N - O are the 4 pair that have as many letters between them as there are in the English alphabetical series.

Hence, the correct answer is "4".

All except 36 are perfect cube numbers.

1) 7³ = 343

2) 2³ = 8

3) 6³ = 216 ≠ 36 (cube of 6 is 216 not 36)

4) 4³ = 64

Hence, "36" is the correct answer.

Given:

Average of nine terms = 40

Solution:

Sum of all numbers = 40 × 9

⇒ Sum of all numbers = 360

From statement 1

Average of first 6 numbers = 30

⇒ Sum of 6 numbers = 30 × 6 = 180

Sum of remaining 3 numbers = 360 – 180

⇒ Sum of remaining 3 numbers = 180

Let eight number be x

⇒ 7_th number + 9_th number = x + 40

⇒ Sum of remaining numbers = x + x + 40 = 180

⇒ 2x = 140

⇒ x = 70

From here we cannot find the value of last term.

Statement 1 is not sufficient to answer the question

From statement 2

Average of first 8 numbers = 36

⇒ Sum of first 8 numbers = 36 × 8

⇒ Sum of the first 8 numbers = 288

⇒ 9_th number = Total sum – Sum of first 8 numbers

⇒ 9_th number = 360 – 288

⇒ 9_th number = 72

∴  Only statement 2 alone is sufficient while 1 alone is not sufficient to answer the question.

The pattern followed here is:

2 and 5 are common in both the dices.

Clearly, 6 will be on the face opposite to the number 1.

Hence, 'option 3' is the correct answer.

The least possible Venn diagram is shown below:

Conclusions:

I. No T is R. → Follows (As, No R is T)

II. No S is T. → Follows (As, All S are R and No R is T)

III. No R is S. → Does not follow (As, All S are R)

Hence, 'both conclusions I and II follows' is the correct answer.