Question
Two statements are given followed by three conclusions
numbered I, II, and III assuming the statements to be true, even if they seem to be at variance with commonly known facts. Decide which of conclusion logically follow(s) from the statement. Statements: Some range is topper All rank is range Conclusions: I. No rank is topper II. Some range is rank III. Some rank being topper is a possibilitySolution
All rank is range (A) + Some range is topper (I) → No conclusion. Hence conclusion I does not follow. All rank is range (A) → Conversion → Some range is rank (I). Hence conclusion II follows. All rank is range (A) + Some range is topper (I) → Probable conclusion → Some rank may be topper (I). Hence conclusion III follows.
I. 2x² + 15 x - 27 = 0
II. 3 y² + 25 y - 18 = 0
I. 5q = 7p + 21
II. 11q + 4p + 109 = 0
I. x ² + 5 x + 6 = 0                Â
II. y²+ 7 y + 12= 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
Equation 1: x² - 144x + 5184 = 0
Equation 2: y² - 130y + 4225 = 0
I. 8x² - 78x + 169 = 0
II. 20y² - 117y + 169 = 0
I. x2 + 13x + 42 = 0
II. y² + 13y + 40 = 0
If the roots of the quadratic equation 6m² + 7m + 8 = 0 are α and β, then what is the value of [(1/α) + (1/β)]?
Equation 1: x² - 180x + 8100 = 0
Equation 2: y² - 170y + 7225 = 0
Solve the quadratic equations and determine the relation between x and y:
Equation 1: x² - 40x + 375 = 0
Equation 2: y² - 36y + 324 = 0
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