Statements:
Only a few air are water.
Every water is pollution.
No pollution is noise.
Conclusions:
All pollution being water is a possibility.
Some air can be noise as well.
No noise is water is a possibility.
All water is pollution (A) → Probable conclusion → All pollution may be water (A). Hence conclusion I follows. Some air are water (I) + All water is pollution (A) → Some air are pollution (I) + No pollution is noise (E) → Some air are not noise (O) → Probable conclusion → Some air can be noise (I). Hence conclusion II follows. All water is pollution (A) + No pollution is noise (E) → No water is noise (E). Hence conclusion III does not follow. Alternate Method -
I. 27x6- 152x3+ 125 = 0
II. 216y6- 91y3+ 8 = 0
I. 2y2 + 31y + 99 = 0
II. 4x2 + 8x – 45 = 0
I. 2x² - 9x + 10 = 0
II. 3y² + 11y + 6 = 0
I. 7x² + 27x + 18 = 0
II. 19y² - 27y + 8 = 0
I. 4 x ² - 4 x + 1 = 0
II. 4 y ² + 4 y + 1 = 0
...I. 3x2 = 2x2 + 9x – 20
II. 3y2 = 75
I. 104x² + 9x - 35 = 0
II. 72y² - 85y + 25 = 0
I. x2 + 24x + 143 = 0
II. y2 + 12y + 35 = 0
I. 27x² + 120x + 77 = 0
II. 56y² + 117y + 36 = 0
I. 25p + 2(2p2 – 1) = 8(p + 5)
II. 8q2 + 35q – 78 = 0