Question
In the following question below are given some
statements followed by some conclusions based on those statements. Taking the given statements to be true even if they seem to be at variance from commonly known facts. Read all the conclusions and then decide which of the given conclusion logically follows the given statements. Statements: Some Rubber are Plastic. Some Plastic are Coal. All Coal are Polyester. Conclusions: I. Some Plastic are Polyester. II. No Coal is Rubber. III. Some Coal are Polyester.Solution
Some Plastic are Coal (I) + All Coal is Polyester (A) → Some Plastic are Polyester (I). Hence conclusion I follows. Some Rubber are Plastic (I) + Some Plastic are Coal (I) → No conclusion. Hence conclusion II does not follow. All Coal are Polyester (A) → I.I. → Some Coal are Polyester (I). Hence conclusion III follows.
Solve the quadratic equations and determine the relation between x and y:
Equation 1: x² - 20x + 96 = 0
Equation 2: y² - 18y + 72 = 0
I. 56x² - 99x + 40 = 0
II. 8y² - 30y + 25 = 0
I. 7x² + 52x + 21 = 0
II. 6y² + 7y - 24 = 0
I. 96x² + 52x - 63 = 0
II. 77y² + 155y + 72 = 0
I. x2 + 16x + 63 = 0
II. y2 + 2y - 15 = 0
I. 104x² + 9x - 35 = 0
II. 72y² - 85y + 25 = 0
I. 9x2 + 45x + 26 = 0
II. 7y2 – 59y − 36 = 0
Solve the quadratic equations and determine the relation between x and y:
Equation 1: x² - 40x + 300 = 0
Equation 2: y² - 30y + 216 = 0
I.√(3x-17)+ x=15
II. y + 135/y=24
Solve the quadratic equations and determine the relation between x and y:
Equation 1: 21x² - 82x + 80 = 0
Equation 2: 23y² - 132y + 85 = 0