Question
In secret code language, 'HOTEL' is coded as 300. What
will be the code for 'BORE' in the same code?Solution
In this secret code language, each letter of the word is assigned a number corresponding to its position in the alphabet: • A = 1, B = 2, C = 3, ..., H = 8, O = 15, T = 20, E = 5, L = 12, and so on. For HOTEL: • H = 8, O = 15, T = 20, E = 5, L = 12. • The code for HOTEL is calculated as: • (8+15+20+5+12)×Number of letters in HOTEL (5)=60×5=300. For BORE: • B = 2, O = 15, R = 18, E = 5. • The code for BORE is calculated as: • HOTEL has 5 letters, and the sum of the letters’ values is 60, so the total code is 300. • BORE has 4 letters, and the sum of the letters’ values is 40, so the total code is 160.
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) 2x² – 9x + 10 = 0
(ii) 4y² – 12y + 9 = 0
I). 5p2 Â - p - 4 = 0
II). q2 - 12q + 27 = 0
I. x2 – 19x + 88 = 0
II. (y + 4)2 = 121
I. 27x6-152x3+125=0
II. 216y6Â -91y3+8=0
I. p² - 10p +21 = 0
II. q² + q -12 = 0
Solve the quadratic equations and determine the relation between x and y:
Equation 1: 31x² - 170x + 216 = 0
Equation 2: 22y² - 132y + ...
i) p2+p=56 Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â
II) q2-17q+72=0
...Solve the quadratic equations and determine the relation between x and y:
Equation 1: x² - 38x + 352 = 0
Equation 2: y² - 38y + 312 = 0
I. 22x² - 97x + 105 = 0
II. 35y² - 61y + 24 = 0