Question
Who among the following among C and A is elder?
>i. Age of A, 6 years hence is equal to the sum of 2/3rd of present age of C and 1/5th present age of B. ii. B is 18 years elder than his son and A is 12 years elder than B's son. iii. Double the present age of A is equal to the age of C 12 years hence.Solution
From Statement I: A + 6 = 2/3C + B/5 -----(1) From Statement II: B = S + 18 ------(2) A = S + 12 ------(3) Solving equation (2) and (3), we get B – A = 6-----(4) From Statement iii, we get 2A = C + 12 ------(5) We cannot find the answer by individual statements, so combining statement i and ii A + 6 = 2/3 x C + B/5 -----(1) B – A = 6-----(4) B = A + 6 Substituting the value of B in equation (1), we get B = 2/3  x C + B/5 B – B/5 = 2/3 x C 4B/5 = 2/3 x C C = 6B/5 From the above equation we can say that C will be greater than B and from equation 4, we can say that age of B is more than that of A. So, from statement i and ii we can conclude that C’s age > B’s age > A’s age.
Statements: G < O = H ≥ L > F < U≤ T ≥ Z
Conclusion:
I. L ≤ O
II. T > L
In which of the following expressions will the expression ‘M ≥ N ' and ‘Q < O’ be 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 ≤ D < A ≥ Y
Conclusion: I. A > B II. Y < C
...Statements: M > N > P ; P = Q ; N < R
Conclusions:
I. Q < N
II. P < M
III. M > R
Statements: G ≤ H < I = J > K, L < B ≥ V > I ≥ D
Conclusion:
I. G = D
II. K ≤ D
III. B > H
Statements: L ≥ R, U ≤ N, N < M > I
Conclusion:
I. R > I
II. M ≥ U
Statements: P ≥ Q > R, S ≤ R, T = W ≥ R
Conclusions:
I. T ≥ S
II. Q < W
If the expression E < B > D = G ≥ H is definitely true, which of the following would be definitely true?
In the following question the relationship between different elements is given in the statements followed by two conclusions I and II. Read the stateme...