Question
Statement: All grams are metres.
                         No metre is a litre. Conclusions: I. Some litres are not grams.                      II. Some litres may be metre. In each question below are given two statements followed by two conclusions numbered I and II. You have to take the two given statements to be true even if they seem to be at variance with commonly known facts and then decide which of the given conclusions logically follows from the two given statements, disregarding commonly known facts. Give Answer:Solution
All grams are metres(A) + No metre is a litres(E) ⇒ No gram is a litre(E) ⇒ Conversion ⇒  Some litres are not grams(O). Hence, conclusion I follows. No metre is a litres(E) ⇒ No probable conclusion. Hence, conclusion II does not follow.
I. 14p2 – 135p + 81 = 0
II. 7q2 – 65q + 18 = 0
I. x3 = 1728
II. y2 – 15y + 56 = 0
I. 7x² + 27x + 18 = 0
II. 19y² - 27y + 8 = 0
Equation 1: x² - 250x + 15625 = 0
Equation 2: y² - 240y + 14400 = 0
In the question, two equations I and II are given. You have to solve both the equations to establish the correct relation between x and y.
I. x
I. 3p² + 13p + 14 = 0
II. 8q² + 26q + 21 = 0
I. x ² + 5 x + 6 = 0                Â
II. y²+ 7 y + 12= 0
...Roots of the quadratic equation 2x2 + x – 528 = 0 is
l. x2 - 16x + 64 = 0
II. y2Â = 64
If x + 1/x = 3, find x² + 1/x².
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