Two statements are followed by three conclusions numbered I, II and III. Assuming the statements to be true, even if they do not conform to real-world knowledge, decide which of the conclusion(s) logically follow/s from the statements.
Statements:
All farms are houses.
Some lands are farms.
Conclusions:
I. Some farms are not lands.
II. Some lands are houses.
Some lands are farms (I) + All farms are houses (A) → Some lands are houses (I). Hence conclusion I doesn’t follow but conclusion II follows.
I. 8x² - 78x + 169 = 0
II. 20y² - 117y + 169 = 0
I. 3x² - 5x + 2 = 0
II. 6y² - 19y + 14 =0
I. 2(x+2)+ 2(-x)=5
II. (1/(y+1)+ 1/(y+5))=(1/(y+2)+ 1/(y+4))
I. 195x² - 46x - 21 = 0
II. 209y² + 7y - 12 = 0
I. 15y2+ 26y + 8 = 0
II. 20x2+ 7x – 6 = 0
I. 96y² - 76y – 77 = 0
II. 6x² - 19x + 15 = 0
I. 6 y² + 11 y – 7= 0
II. 21 x² + 5 x – 6 = 0
I. 3y² - 20y + 25 = 0
II. 3x² - 8x + 5 = 0
I. 2x² + 11 x + 15 = 0
II. 2y² - 19 y + 44 = 0
I. 4x² - 21x + 20 = 0
II. 8y² - 22y + 15 = 0
