Statements:Some whys are where’s.
All when’s are whys.
All where’s are who’s.
Conclusions:I. Some who’s are whys.
II. All where’s are when’s.
III. Some where’s are not when’s.
Some whys are where (I) + All where are who’s (A) = Some whys are who’s.(I) ⇒ conversion ⇒ Some who’s are whys.(I) Hence, conclusion I will follow. A + I = No conclusion. Hence, neither conclusion II nor III follows. However, Conclusion II and III make a complementary pair, hence, either conclusion II or III follows. Alternative method:
The quadratic equation (p + 1)x 2 - 8(p + 1)x + 8(p + 16) = 0 (where p ≠ -1) has equal roots. find the value of p.
I. y/16 = 4/y
II. x3= (2 ÷ 50) × (2500 ÷ 50) × 42× (192 ÷ 12)
If α, β are the roots of the equation x² – px + q = 0, then the value of α2+β2+2αβ is
...(i) 2x² – 9x + 10 = 0
(ii) 4y² – 12y + 9 = 0
I. 84x² - 167x - 55 = 0
II. 247y² + 210y + 27 = 0
I. x2 – 10x + 21 = 0
II. y2 + 11y + 28 = 0
I. x2 – 18x + 81 = 0
II. y2 – 3y - 28 = 0
I. 6y2- 17y + 12 = 0
II. 15x2- 38x + 24 = 0
I. 22x² - 97x + 105 = 0
II. 35y² - 61y + 24 = 0
I. 3x2 - 16x - 12 = 0
II. 2y2 + 11y + 9 = 0