Verbal Reasoning - Mental Ability Questions

From the given information :

D O W N A M E == 5 @ 9 # 6 % 3
MODE = %@53

OnIy daughter of my mother — Myself.

So, the woman is man's mother.

Here in the given numbers 91 is a Composite number. Since it has factors of 7 and 13 other than 1 and itself.

Composite Numbers :

A composite number is a positive integer which is not prime (i.e., which has factors other than 1 and itself).

Examples :: 4, 6, 8, 12, 14, 15, 18, 20, ...

 The alphabets in the given words are coded as follows :

$$\begin{gathered} M I S T A K E N D \\ 9 7 6 5 4 1 2 8 3 \end{gathered}$$

D is coded as 3,

I as 7,
S as 6,
T as 5,
A as 4  and
N as 8.
So, the code for DISTANT is 3765485.

When the letters of the word BREAK are arranged in alphabetical order we get the new order of the letters as follows:
A  B  E  K  R
Thus, the letter E satisfies this criteria. This is third in either case whether in the word or in the alphabetical order.

Let the number of students in the class be 'x'.
Given if 1 is absent rest of people can be divided into 6 equal parts i.e (x-1)/6.........(1)
And given if 2 are absent rest of people can be divided into 7 equal parts i.e (x-2)/7.....(2)
From (1)&(2), we get
x-1/6 = ((x-2)/7) + 1
=> x = 37.

the pattern is +6,+9,+12,+15
the missing term is 21+12=33

First is a hatred for the second