Question
Read the given statements and conclusions carefully.
Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusions logically follow(s) from the statements. Statement Some Room are Curtain. All Holder are Handle. No Holder is Curtain. Conclusions: I. Some Room are Handle. II. Some Room are not Holder. III. Some Curtain are Handle.Solution
No Holder is Curtain (E) + Some Curtain are Room (I) → Some Room are not Holder (O*) + All Holder are Handle. (A) → No conclusion. Hence conclusion I does not follow but conclusion II follows. No Holder is Curtain (E) → Conversion → No Curtain is Holder (E) + All Holder are Handle (A) → Some Handle are not Curtain (O*). Hence conclusion III does not follow.
I). p2 = 81
II). q2 - 9q + 14 = 0
I. 7x² + 27x + 18 = 0
II. 19y² - 27y + 8 = 0
l. p2Â - 3p - 54 = 0
II. q2Â - 19q + 90 = 0
I. x2 - 20x + 96 = 0
II. y2 - 23y + 22 = 0
I. 2x² - 11x + 12 = 0
II. 12y² + 29y + 15 = 0
Solve the quadratic equations and determine the relation between x and y:
Equation 1: x² - 24x + 143 = 0
Equation 2: y² - 20y + 96 = 0
I.√(3x-17)+ x=15
II. Â y+ Â 135/y=24Â
I. 2y2 - 15y + 18 = 0
II. 2x2 + 9x - 18 = 0
A and B are the roots of equation x2 - 13x + k = 0. If A - B = 5, what is the value of k?
I. 6p2 – 7p = 5p – 7p2 + 25
II. 11q2 – 63q + 90 = 0
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