Question
In a certain code language, 'HORSE' is coded as '25' and
‘VALVES’ is coded as '69'. How 'CATER' will be coded as in that language?Solution
The pattern followed here is as follows: The absolute difference between the sum of the place values of all the consonants and the sum of the place value of all the vowels as per English alphabetical series. In, HORSE: Sum of all the consonants = 8 + 18 + 19 = 45 Sum of all the vowels = 15 + 5 = 20 Difference = 45 - 20 = 25 In, VALVES: Sum of all the consonants = 22 + 12 + 22 + 19 = 75 Sum of all the vowels = 1 + 5 = 6 Difference = 75 - 6 = 69 Similarly, in CATER: Sum of all the consonants = 3 + 20 + 18 = 41 Sum of all the vowels = 1 + 5 = 6 Â Difference = 41 - 6 = 35
I. 24x² - 58x + 23 = 0
II. 20y² + 24y – 65 = 0
I. 6x2 + 23x + 10 = 0
II. 2y2 - 3y - 5 = 0
I. p2 – 2p – 15 = 0
II. q2 + 4q – 12 = 0
Equation 1: x² + 16x + 63 = 0
Equation 2: y² + 10y + 21 = 0
Solve: x² − 7x + 12 = 0
I. 15y2 + 4y – 4 = 0
II. 15x2 + x – 6 = 0
I. x² + 4x + 4 = 0
II. y² - 8y + 16 = 0
I. 18p²- 21p + 6 = 0   Â
II. 16q² - 24q +9 = 0
I. 5x² - 24 x + 28 = 0  Â
II. 4y² - 8 y - 12= 0  Â
If x + 1/x = 3, find x² + 1/x².