Verbal Reasoning - Mental Ability Questions

In each question below are three statements followed by two conclusions numbered I and II. You have to take the three given statements to be true even if they seem to be at variance with commonly known facts and then decide which of the given conclusions logically follows from the three statements disregarding commonly known facts.
Statements:
All numbers are digits.
All alphabets are numbers.
All words are alphabets.
Conclusions:
I. All words are digits.
II. Some numbers are not words.

If 13 # 9 = 94 and 18 # 7 = 100, then 24 # 6 = ?

In the following question, select the missing number from the given series.
1, 3, 6, 11, 18, ?

If X's mother is the only daughter of Y's father, then Y's husband 's father is X's ___.

If 14 (16) 18 and 33 (64) 25, then what is the value of ‘A’ in 25 (49) A?

If "α" denotes "subtracted from", "β" denotes "multiplied by", "θ" denotes "added to" and "δ" denotes "divided by", then 10 θ 8 β 4 δ 8 α 9 = ?

Which set of letters when sequentially placed at the gaps in the given letter series shall complete it?

M_P_M_R_PM_PM_RR_P

Pearl Towers is taller than Sky Towers but shorter than Unity Towers. Unity Towers and Cyber Towers are of same height. Pearl Towers is shorter than Indus Towers. Amongst the buildings, who is the second shortest?