Question
In the question three statements are given, followed by
three conclusions, I, II and III. You have to consider the statements to be true even if it seems to be at variance from commonly known facts. You have to decide which of the given conclusions, if any, follows from the given statements. Statement All years are months All years are days Some years are weeks Conclusion I. Some weeks are days II. Some months are weeks III. All months are daysSolution
Some years are weeks (I) → conversion → Some weeks are years (I) + All years is days (A) → Some weeks are days (I). Hence conclusion I follows. Some years are weeks (I) → conversion → Some weeks are years (I) + All years are months (A) → Some weeks are months (I). → Conversion → Some months are weeks (I). Hence conclusion II follows. All years are months → conversion → Some months are years (I) + All years are days (A) → Some months are days (I). Hence conclusion III does not follow.
I. 6y2 – 23y + 20 = 0
II. 4x2 – 24 x + 35 = 0
I. 117x² + 250x + 117 = 0
II. 54y² -123y + 65 = 0
The equation x2 – px – 60 = 0, has two roots ‘a’ and ‘b’ such that (a – b) = 17 and p > 0. If a series starts with ‘p’ such...
I. 3p² + 13p + 14 = 0
II. 8q² + 26q + 21 = 0
I. 6 y² + 11 y – 7= 0
II. 21 x² + 5 x – 6 = 0
I. x2 – 18x + 81 = 0
II. y2 – 3y - 28 = 0
I.8(x+3) +Â 8(-x) =72Â
II. 5(y + 5) + 5(-y) = 150Â
I. 22x² - 97x + 105 = 0
II. 35y² - 61y + 24 = 0
Solve the quadratic equations and determine the relation between x and y:
Equation 1: 2x² - 8x + 6 = 0
Equation 2: y² - 7y + 10 = 0
I. 10x2 + 33x + 9 = 0
II. 2y2 + 13y + 21 = 0