Question
In a certain code language, COMMANDO’ is coded as
‘315131326132312’ and ‘PRINCESS’ is coded as ‘1618914242288’. What is the code of ‘MANUALLY’ in that code language?Solution
From the left end, the first four letters are replaced by their positional value, as per the English alphabetical series. The next four letters are replaced by the positional value of their opposite alphabets, as per the English alphabetical series. ‘COMMANDO’ is coded as ‘315131326132312’ ‘PRINCESS’ is coded as ‘1618914242288’ Similarly, ‘MANUALLY’ is coded as ‘13114212615152’
I. 104x² + 9x - 35 = 0
II. 72y² - 85y + 25 = 0
One of the roots of the equation x² – 12x + k = 0 is x = 3. The other root is ___________.
I). p2 + 22p + 72 = 0,
II). q2 - 24q + 128 = 0
I. 20y² - 13y + 2 = 0
II. 6x² - 25x + 14 = 0
Solve the quadratic equations and determine the relation between x and y:
Equation 1: x² - 29x + 210 = 0
Equation 2: y² - 27y + 182 = 0
Solve the quadratic equations and determine the relation between x and y:
Equation 1: x² - 50x + 600 = 0
Equation 2: y² - 51y + 630 = 0
I. 4x² - 21x + 20 = 0
II. 8y² - 22y + 15 = 0
I. 4p² + 17p + 15 = 0
II. 3q² + 19q + 28 = 0
I. 35 y² + 58 y + 24 = 0
II. 21 x² + 37 x + 12 = 0
I. x3 = 1728
II. y2 – 15y + 56 = 0
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