Question
The ratio of ages of P and Q, after 8 years will be
19:14 respectively. The present average age of P, Q and R is 52 years. If present age of R is 25% more than age of P 5 years ago, then find the ratio of present ages of Q and R respectively.Solution
ATQ,
Let ages of P and Q, after 8 years be 19x years and 14x years respectively. Present age of P = ‘19x – 8’ years Present age of Q = ‘14x – 8’ years Present age of R = 52 × 3 – (19x – 8 + 14x – 8) = ‘156 – 33x’ years According to the question: 1.25 × (19x – 8 – 5) = 156 – 33x Or, 1.25 × (19x – 13) = 156 – 33x Or, 23.75x – 16.25 = 156 – 33x Or, 56.75x = 172.25 Or, x = 3 Present age of Q = 14 × 3 – 8 = 34 years Present age of R = 156 – 33 × 3 = 57 years Desired Ratio = 34:57 = 2:3
Statements: Z = Y ≥ X > W, Q > O = P ≥ I, W ≥ V ≥ U = Q
Conclusions:
I. Z ≥ Q
II. I ≤ W
III. X > P
Statement: A = X ≥ W = B < C = O
Conclusions:
I. A ≥ B
II. W < O
III. X > O
IV. C > A
...In the question, assuming the given statements to be true, find which of the following conclusion(s) among the two conclusions is/are true and then giv...
Statements: P = Q = R > S > T > Z; U > R < V < W > X
Conclusions:
I. W > Z
II. R < W
III. R < X
Statements: U > G = L > V < K ≤ C > S < N
Conclusion I: U ≥ V
II: C > V
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...
Statement: C ≤ D < E; C > F > G
Conclusions: I. F < E II. C > G
...In the following question the relationship between different elements is given in the statements followed by three conclusions I, II and III. Read the...
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: V ≥ O ≥ S = A > J, M < Y = P ≤ O > R
Conclusion:
I. O > M
II. A ≥ M
III. V > R
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