Question
Statements: Only a few Rayon is Cotton. No
Cotton is Muslin. Only a few Muslin is Modal. All Modal are Silk. Conclusions: I. Some Silk can be Muslin. II. Some Modal are not Rayon. III. All Muslin can be Rayon. In the question below there are four statements followed by three conclusions I, II and III. You have to take the four given statements to be true even if they seem to be at variance from commonly known facts and then decide which of the given conclusions logically follow from the four statements disregarding commonly known facts.Solution
Some Muslin is Modal (I) + All Modal is Silk (A) → Some Muslin are Silk (I) → Conversion → Some Silk are Muslin (I). Hence conclusion I does not follow. Some Rayon are Cotton (I) + No Cotton is Muslin (E) → Some Rayon are Muslin (O) + Some Muslin are Modal (I) → No conclusion. Hence conclusion II does not follow. Some Rayon are Cotton (I) + No Cotton is Muslin (E) → Some Rayon are Muslin (O) → Probable conclusion → All Muslin can be Rayon (I). Hence conclusion III follows.
I. 15y2 + 26y + 8 = 0
II. 20x2 + 7x – 6 = 0
I. x2 – 10x + 21 = 0
II. y2 + 11y + 28 = 0
- If the quadratic equation x² + 18x + n = 0 has real and equal roots, what is the value of n?
I. 35x² - 24x – 35 = 0
II. 72y² - 145y + 72 = 0
I. 2x2 – 5x – 12 = 0
II. 2y2 + 13y + 20 = 0
I. 22x² - 97x + 105 = 0
II. 35y² - 61y + 24 = 0
I. 4x2 + 3√7 x-7 =0
II. 7y2 + 4√7 y-5=0
Solve the quadratic equations and determine the relation between x and y:
Equation 1: 11x² - 93x + 88 = 0
Equation 2: 13y² + 118y + 93 = 0
I. 5x² - 28x + 39 = 0
II. 2y² - 13y + 20 = 0
I. 4x2 + 9x - 9 = 0
II. 4y2 - 19y + 12 = 0