Question
Which of the following combination is definitely
true? Study the following information carefully and answer the given questions: 11 persons – A, B, C, D, E, F, G, H, I, J and K won different number of medals – 4, 5, 6, 7, 8, 9, 10, 11, 12, 13 and 14. They like different colours – Pink, Cream, Orange, White, Black, Red, Blue, Green, Yellow, Brown, and Gray. They like different flowers – Daisy, Lily, Lotus, Rose, Tulip, Sunflower, Orchid, Jasmines, Pansy, Iris and Marigold but not necessarily in the same order. E like Orange but neither likes Iris nor Rose. I won 9 medals. F likes Pansy. The one who likes Sunflower likes White. K likes Daisy and Green and has won less than 5 medals. H does not like Sunflower. G like Lotus and he won 12 medals. Neither H nor I like Orchid. D won 7 medals and likes Tulip and he likes Blue. The one who likes Black won 8 medals. The one who likes Lily won 6 medals. C likes Jasmine and won 14 medals. The one who likes Orchid likes Red. B won second highest number of medals. Neither H nor J like either Black or Gray. A won 11 medals and likes Pink. H does not like Lily. E won more than 8 medals. One who has won more number of medals than B likes Yellow.Solution
E like Orange. I won 9 medals. F likes Pansy. K likes Daisy and Green and has won less than 5 medals. G like Lotus and he won 12 medals. D won 7 medals and likes Tulip and he likes Blue. C likes Jasmine and won 14 medals. B won second highest number of medals. A won 11 medals and likes Pink. Neither H nor J like Black. The one who likes Black won 8 medals. (only possibility is F likes Black).
It is given that, H does not like Lily and The one who likes Lily won 6 medals. E won more than 8 medals. (only possibility is J likes Lily). The one who likes Orchid likes Red. And it is also given that neither H nor I like Orchid. (only possibility is B likes Orchid). H does not like Sunflower and one who likes sunflower likes White. (so, only possibility is I likes Sunflower).
E has won more than 8 medals and it is also given that he neither likes Iris nor Rose. (so, only possibility is E won 10 medals and likes Marigold). One who has won more number of medals than B likes Yellow.(i.e. C must likes Yellow). Neither H nor J like either Black or Gray. (only possibility is G likes Gray). After filling the remaining data, we get:
I. 6 y² + 11 y – 7= 0
II. 21 x² + 5 x – 6 = 0
- For what value of a does the quadratic equation x² + ax + 81 = 0 have real and identical roots?
I. 8x² + 2x – 3 = 0
II. 6y² + 11y + 4 = 0
I. 2x² - 15x  + 13 = 0
II. 3y² - 6y + 3 = 0
I. 2x² - 7x + 3 = 0
II. 8y² - 14y + 5 = 0
Solve the quadratic equations and determine the relation between x and y:
Equation 1: 3x2 + 6√7x - 315 = 0    Â
E...
I. 35x² - 51x + 18 = 0
II. 30y² + 17y – 21 = 0
I. 195x² - 46x - 21 = 0
II. 209y² + 7y - 12 = 0
I. 2y2 - 37y + 143 = 0
II. 2x2 + 15x – 143 = 0
I. 22x² - 97x + 105 = 0
II. 35y² - 61y + 24 = 0