Question
What was the sum of the ages of the father and the
daughter 5 years earlier? A.  Ratio of the father’s present age to the daughter’s age after 5 years is 5 : 2. B. The difference between twice the present age of the father and five times the daughter‘s present age is 20 years. C. The ratio of the age of the father after 5 Years to tha age of the daughter after 6 years is 5: 2. The following questions are accompanied by three statement A, B and C. you have to determine which statement (s) is /are necessary/ sufficient to answer the question.Solution
Let the present ages of father and daughter be F and D years respectively. A. = 
 (5/2) 2F = 5D + 20 2F – 5 D = 20 B. 2 F – 5 D = 20 C. = ((F+5)/(D+6)) = (5/2) 2 F + 10 = 5 D + 30 2 F – 5 D = 20 Here, all the three equations are the same.
Statements: A ≥ B ≥ Y = Z = M ≥ N ≤ E ≤ F = J
Conclusions:
I. F > Z
II. J ≤ Y
Which of the following expressions will be true if the expression ‘N ≥ O > P ≥ Q’ is definitely true?
Statement: C < X ≤ B > E < L < I
Conclusion: I. X > LÂ Â Â Â Â Â Â Â Â Â II. B > C
Statements: B & C, C # D, D @ E, E % F
Conclusions: I.   C & F                    II. E # B
...Statements:
A = C > E = F > D; Y < Z ≤ F
Conclusions:
I. E > Z
II. D ˃ Y
Statements: A > E ≤ B; G < C ≤ E; D < C ≤ F
Conclusions:
I. D < B
II. F ≤ E
III. A > G
...Statement: C < D ≤ E; F > E ≤ G ; D ≥ H
Conclusions: I. G = H II. G > H
...Statement: T < U ≤ V; W < X ≤ V; V > Q
Conclusion: I. Q ≤ W     II. W > Q
In which of these expression ‘O ≤ F’ is definitely true?
Statements: P % Q, P $ R, Q # S, R @ T
Conclusions:
I. R $ QÂ Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â
II. S & T       �...
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