Question
In the word āDEBATEā all consonants are written as
their preceding letter and all vowels are written as their following letters. Now all letters are arranged in alphabetical order from left to right and all the repeated letters are eliminated. Then, how many such pairs of letters are there, each of which have as many letters between them in the word (forward direction) as they have between them in the English alphabetical series?Solution
The word - D E B A T E
Ā Ā Ā Ā C F A B S F
Ā Ā Ā Ā A B C F F S
Ā Ā Ā Ā A B C F S Ā Ā Ā Only AB, BC and AC are there for the forward arrangement. Ā
I. 2p2 - 3p – 2 = 0 II. 2q2 - 11q + 15 = 0
I. 64x2 - 64x + 15 Ā = 0 Ā Ā Ā Ā
II. 21y2 - 13y + 2Ā =0
l). pĀ² - 29p + 204 = 0
ll).Ā qĀ² + 4q - 221 = 0
I. x2 – 10x + 21 = 0
II. y2 + 11y + 28 = 0
Find the roots of the equation 6pĀ² ā 5p ā 6 = 0.
I. 40 x² - 93 x + 54 = 0
II. 30 y² - 61 y + 30 = 0
In the question, two equations I and II are given. You have to solve both the equations to establish the correct relation between 'p' and 'q' and choose...
I. 8a2 – 22a+ 15 = 0
II. 12b2 - 47b + 40=0
I. 56x² - 99x + 40 = 0
II. 8y² - 30y + 25 = 0
I. 2x² - 9x + 10 = 0
II. 3y² + 11y + 6 = 0
