Question
Eight years ago, the sum of the ages of Helen and Karen
was 50 years. Eight years hence, the ratio of their ages will be 9:11. Find the current age of Helen.Solution
ATQ, Let the ages of Helen and Karen in eight years be 9x and 11x respectively. Their combined age eight years hence = 9x+11x=20x. Eight years ago, their combined ages were 50. Thus, their combined ages today = 50+16=66. 20x=66+16=82. Solving for x, 20x = 82 = x = 82/20 = 4.1 Age of Helen eight years hence = 9x = 9×4.1 = 36.9 years. Current age of Helen = 36.9 − 8 = 28.9 years.
Statements:
C > D ≥ E ≤ F; Y ≥ Z ≥ A = C
Conclusion:
I. Y > F
II. F ≥ Y
Statements:Â J > A > G < N < K = V
ConclusionÂ
I. J > K Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â
II. V > A
...In the question, assuming the given statements to be true, Find which of the conclusion (s) among given three conclusions is /are definitely true and t...
Statements: I % C, C & D, D $ K, K # Z
Conclusions: I. I & DÂ Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â II. D # Z
...Statements: M ≤ N = O ≤ P; P = Q ≤ U; R > N = U
Conclusions:
I. R > O
II. U ≥ M
Statements: A > I = L ≥ Y = T ≥ W, D < V ≤ W
Conclusions:
I. Y ≥ D
II. V ≤ L
III. I > D
...- In the question, assuming the given statements to be true, find which of the conclusion (s) among given three conclusions is/are definitely true and then g...
Statements: D = E ≥ G = K, O > B ≤ C = K, E ≤ I < F
Conclusions: I. K > O II. D ≥ C
...Statements: Q > R ≥ V = U ≤ W > S = T ≤ X
Conclusion
I: X ≤ V
II: X > V
Statements: R ≤ K ≤ H = O ≥ D > Q; K > P
Conclusions:I. K < Q II. D ≥ P
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