Verbal Reasoning - Mental Ability Questions

T is the brother of S, who is the daughter of R. So, T and S are the children of R. 

Now. Q is the brother of R. So, T and S are the cousins of Q. 

The given number series is 2, 3, 7, 16, 32, ?

$$\begin{gathered} 2 \\ 2 + 12 = 3 \\ 3 + 22 = 7 \\ 7 + 32 = 16 \\ 16 + 42 = 32 \\ 32 + 52 = 57 \\ \end{gathered}$$

Hence, the next number in the given number series is 57.

Lethargic means "sluggish", kind of inactive

Vital means full of energy, lively

So, they are antonyms.

So, for the 2nd part of the analogy, you are looking for a antonym to trite

Trite means lacking originality or freshness. Overused. Kind of like a cliche

So, an antonym could be original, unique, innovative.

Clearly, Here are the names of parts of a hand, Which may be arranged 

(i) from top to bottom, i.e, Shoulder, Elbow, Wrist, Palm, Finger - Which is 1, 3, 2, 4, 5  (or)

(ii) from bottom to top, i.e, Finger, Palm, Wrist, Elbow, Shoulder - Which is 5, 4, 2, 3, 1

Out of these, the sequence 5, 4, 2, 3, 1 is given in the alternatives provided. Hence, the answer is (D).

The first digit is formed by adding the numbers which are the results of powers of 2 increased by one and second letter is the corresponding alphabet to that number...last number is the next number to the first one...therefore

15=7+8 (i.e. 2^3)

O is corresponding alphabet to 15

and 16 comes after 15 

P, Q, R are children of same parents. So. S who is R's mother and T, who is R's father will be mother and father of all three. 

However, it is not mentioned whether Q is male or female So, D cannot be definitely true.