Question
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.Solution
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
Statements: H > N = F ≤ P ≤ T ≥ O ≥ E
Conclusions:
I. H < P
II. F > O
III. P ≥ E
Statements: A $ B @ D & E @ G % H, F & A, G $ J
Conclusions: I. A # H II. D $ J
...Statements: T < U = S ≤ O, C > Y ≥ X, T > K = X
Conclusions :I. O > K II. C < T III. U > K
Statements:
T % W % B $ I @ L
Conclusions:
I. B * T
II. L © B
III. L * T
Statements: D > C ≥ A ≤ B = F, G ≤ K < L < C
Conclusion:
I. D > G
II. C > G
III. K ≤ B
In the question, assuming the given statements to be true, find which of the conclusion(s) among given two conclusions is /are definitely true and then...
Statements: D < E = F > G < H < I < J; K > H = N < P < O
Conclusions:
I. O > G
II. N = K
III. F < J
In the question, assuming the given statements to be true, find which of the conclusion (s) among given two conclusions is/are definitely true and the...
Statements: P > Q ≤ R; Q ≥ O > S; T < S ≤ U
Conclusions:
I. T < R
II. U ≤ Q
III. P > U
...Statements: A $ B @ D & E @ G % H, F & A, G $ J
Conclusions: I.F & E II. J # B
...
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