Question
Read the given statements and conclusions carefully.
Assuming that the two statements are given followed by three conclusions numbered I, II and III. 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 conclusions logically follow(s) from the statements. Statements: All miracles are heavens. All heavens are angels. Conclusions: I. Some angels are heavens. II. Some miracles are not angels. III. Some angels are miracles.Solution
All heavens are angels (A) → Conversion → Some angels are heavens (I). Hence conclusion I follows. All miracles are heavens (A) + All heavens are angels (A) → All miracles are angels (A) → Conversion → Some angels are miracles (I). Hence conclusion II does not follow but conclusion III follows.
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. 27x² + 120x + 77 = 0
II. 56y² + 117y + 36 = 0
I. x² + 11x + 24 = 0
II. y² + 17y + 72 = 0
I. 5x² = 19x – 12
II. 5y² + 11y = 12
I. p²= ∛1331
II. 2q² - 21q + 55 = 0
Solve the quadratic equations and determine the relation between x and y:
Equation 1: 4x² - 12x + 9 = 0
Equation 2: 2y² + 8y + 6 = 0
I. 2x² - 9x + 10 = 0
II. 3y² + 11y + 6 = 0
I. 4 x ² - 4 x + 1 = 0                              Â
II. 4 y ² + 4 y  + 1 = 0
...The following question contains two equations as I and II.You have to solve both equations and determine the relationship between them.
I). a² -...
I. 2x2 + 13x + 21 = 0
II. 3y2 + 34y + 63 = 0
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