Question
In a certain code language, 'apple mango pear papaya' is
coded as 'wef, mfg, wrt, nje', 'papaya banana pear' is coded as 'vsa, mfg, wef' and 'pear apple kiwi' is coded as 'wrt, wef, nad'. How will 'kiwi banana mango' be coded in the same language?Solution
'apple mango pear papaya' is coded as 'wef, mfg, wrt, nje'…. (I) 'papaya banana pear' is coded as 'vsa, mfg, wef' ………(II) 'pear apple kiwi' is coded as 'wrt, wef, nad'…….(III) From (I), (II) and (III), code for ‘pear’ is ‘wef’ From (I) and (III), code for ‘apple’ is ‘wrt’ From (III), code for ‘kiwi' is ‘nad’ From (I) and (II), code for ‘papaya' is ‘mfg’ From (II), code for ‘banana’ is ‘vsa’ So, the code for 'kiwi banana mango' is ‘nad, vsa, nje’
Solve the quadratic equations and determine the relation between x and y:
Equation 1: x² - 40x + 300 = 0
Equation 2: y² - 30y + 216 = 0
Solve the quadratic equations and determine the relation between x and y:
Equation 1: 97x² - 436x + 339 = 0
Equation 2: 103y² - 460y + 357 = 0
Solve the quadratic equations and determine the relation between x and y:
Equation 1: 4x² - 12x + 9 = 0
Equation 2: 2y² + 10y + 12 = 0
I. 5x2 – 18x + 16 = 0
II. 3y2 – 35y - 52 = 0
Solve the quadratic equations and determine the relation between x and y:
Equation 1: x² - 30x + 221 = 0
Equation 2: y² - 28y + 189 = 0
I. 35x² - 24x – 35 = 0
II. 72y² - 145y + 72 = 0
I. y/16 = 4/yÂ
II. x3 = (2 ÷ 50) × (2500 ÷ 50) × 42 × (192 ÷ 12)
I. 3q² -29q +18 = 0
II. 9p² - 4 = 0
The roots of x² − (k+3)x + (3k − 1) = 0 are real and distinct, and the larger root exceeds the smaller by 5. Find k.
I. 7x + 8y = 36
II. 3x + 4y = 14