Question
The ratio of age of A and B after 8 years is 4:5
respectively. The ratio of age of A and C 6 years ago is 3:4 respectively. If the present average age of A and C is 30 years, then find the present age of C.Solution
ATQ,
The ratio of A and B's ages after 8 years is 4:5, so we get the equation 5(A+8)=4(B+8), which simplifies to 5A−4B=−8. The ratio of A and C's ages 6 years ago is 3:4, giving us the equation 4(A−6)=3(C−6), which simplifies to 4A−3C=6. The average age of A and C is 30, so A+C=60. Solving the system of equations, we substitute A = 60 − C into the second equation and solve to get C=33.43. Thus, the present age of C is approximately 33.43 years.
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 th...
Statements: V ≤ R ≥ Q; R ≤ N < Y; I > Y ≤ S
Conclusions:
I. V ≤ S
II. I > Q
III. S > N
Statements: A = B ≥ C > D, F > G = H ≥ J, D ≥ E ≥ I > F
Conclusions:
I. D ≥ H
II. I > J
III. G < A
Statements: I > J = K ≥ M; D ≥ F ≤ E = I
Conclusions:
I. M < E
II. D ≥ MStatements:
A = B ≤ Y < Z; P ≤ I < A; M ≤ Y < N
Conclusions:
I). Â M < Z
II). Â P < Y
III). Â N > A
...Statements: R ≥ J > V= A > S ≤ P > G < H
Conclusions: I. R > PÂ Â Â II. H < J
Statements: P < Q ≤ R ≤ S; P > T = V ≥ X; S ≤ W = Y < U
Conclusions:
I. U > R
II. W > X
III. Q < Y
Statements: O > Q < R > P = U ≥ S > T ≥ N
Conclusion
I: S < R
II: U > N
Statements: B > A = D ≥ C = I ≥ H > E > F > G
Conclusions:
I. C ≥ E
II. E > C
III. A ≥ DA statement is given, followed by two conclusions I and II. Decide which of the given conclusions is/are true based on the statement. Â
Statemen...
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