Question
If in the word " MOUNTAIN ", all the consonants are changed
to 3rd preceding and all the vowels are changed to immediately preceding letter as per the English alphabetical series from left to right, and all the letters are then arranged as per the English alphabetical series from right to left, then the position of how many letters remains unchanged?Solution
M O U N T A I N
J N R K Q Z H K
Z R Q N K K J H
So, positions of none of the letter remains unchanged.
I. 3p2Â - 11p + 10 = 0
II. 42q2Â + q -1 = 0
I). p2 + 22p + 72 = 0,
II). q2 - 24q + 128 = 0
Find the roots of the equation 6p² – 5p – 6 = 0.
I. y² + y – 56 = 0
II. 2x² + 11 x – 40 = 0
 If x satisfies x² – 14x + 40 = 0, find x.
I. 2y² - 35y + 132 = 0
II. 2x² - 31x + 110 = 0
I. 35x² - 46x – 16 = 0
II. 35y² - 116y + 96 = 0
I. 20x² - 93x + 108 = 0
II.72y² - 47y - 144 = 0
I. x3 = 1728
II. y2 – 15y + 56 = 0
I. x2 + x – 42 = 0
II. y2 + 6y – 27 = 0