The average age of a group of nine children is 7 years. From the group, three children, whose ages were 3 years more, 2 years more, and 4 years more than the average age, left. Six new children, whose average age is 2 years more than the given average age, join the group. Find the new average age.
Initial sum of the ages of 9 children = 7 x 9 = 63 years Ages of the children leaving: 7 + 3 = 10 years, 7 + 2 = 9 years, and 7 + 4 = 11 years, Sum of the ages of the children leaving the group = 10 + 9 + 11 = 30 years Sum of the ages after three children left = 63 – 30 = 33 years Sum of the ages of 7 new children = (7 + 2) x 7 = 63 years Total sum of the ages with new children = 33 + 63 = 96 years Number of children now = 9 – 3 + 6 = 12 years New average age = 96/12 = 8 years
Which of the following makes C $ E or Y % E definitely true?
Statement: E < F ≤ G = H, I ≥ G ≤ J ≤ K
Conclusion: I. K > E II. H > K
Statements: C = A ≤ H < K ≥ L = Q; S = T ≥ K
Conclusion: I. C < T II. A = S
Statement: A < Z > I < B > S = O ≤ N
Conclusions:
I. S= N
II. B > O
Statements: T > U, V > W, U = X, R ≥ X, V = R
Conclusion:
I. T ≥ W
II. W > T
Statements: V & T, T # L, L $ Z, Z @ A
Conclusions: I. Z $ T II. Z & T
...Statements: A $ B @ D & E @ G % H, F & A, G $ J
Conclusions: I. A # H II. D $ J
...Statements: M # N # O $ P & Q % R % S
Conclusions : I. Q @ S ...
Statement: X=Y≤Z>T; T>Q ; X ≥R
I. Z≥R
II. R>Q
In the question, assume the given statements to be true. Find which of the following conclusion(s) among the three conclusions is/ are definitely true a...