Start learning 50% faster. Sign in now
Some sims are phones(I) + All phones are mobiles (A) ⇒ Some sims are mobiles (I) ⇒ conversion⇒ Some mobiles are sims (I) + [No card is a sim (E)] ⇒ conversion ⇒ No sim is a card (E) ⇒ Some mobiles are not cards(O). Hence conclusion I follows. Some sims are phones(I) ⇒ conversion⇒ Some phones are sims (I) + [No card is a sim] ⇒ conversion⇒ No sim is a card (E) ⇒ Some phones are not cards(O). Hence conclusion II does not follow. No card is a sim (E) -⇒ conversion⇒ No sim is a card (E). Hence conclusion III follows
If α, β are the roots of the equation x² – px + q = 0, then the value of α2+β2+2αβ is
...I. p2 - 19p + 88 = 0
II. q2 - 48q + 576 = 0
If the roots of the quadratic equation 5x² + 4x + 6 = 0 are α and β, then what is the value of [(1/α) + (1/β)]?
...I. 2x2 + 12x + 18 = 0
II. 3y2 + 13y + 12 = 0
I. 165x² + 97x + 10 = 0
II. 117y² - 163y + 56 = 0
I: 2x² - 8x + 6 = 0
II: 3y² - 12y + 9 = 0
I. 14p² + 9p - 8 = 0
II. 4q² - 19q + 12 = 0
Solve the quadratic equations and determine the relation between x and y:
Equation 1: x² - 26x + 168 = 0
Equation 2: y² - 23y + 132 = 0
I. 12y2 + 11y – 15 = 0
II. 8x2 – 6x – 5 = 0
I. x ² + 5 x + 6 = 0
II. y²+ 7 y + 12= 0
...