Question
A school has 8 teachers and 4 administrators. The
average age of the teachers is 40 years, and the average age of the administrators is 55 years. After hiring 3 new teachers and 2 new administrators, the average age of the entire staff increases by 1 year. If the average age of the new teachers is 42 years, what is the combined age of the 2 new administrators?Solution
Let the total age of 2 new administrators be x years Total age of 8 teachers and 4 administrators = 8 × 40 + 4 × 55 = 540 Average age of school = 540/12 = 45 When 3 new teachers and 2 new administrators joined then total age = 17 × (45+1) = 782 total age of the new teachers and administrators combined = 782-540 = 242 years age of 3 teacher + age of 2 administrators = 242 3 × 42 + x = 242 x = 242-126 x = 116
Statement: B > C = J; B > S > E; B < N
Conclusion: I. E < C      II. J ≤ E
Statements: 5 = 1 > 6; 7 ≤ 4; 6 > 9 > 2 < 4
Conclusions:
I. 5 > 2
II. 7 > 5
III. 6 > 2
In the question, assuming the given statements to be true, find which of the following conclusion(s) among the three conclusions is/are true and then g...
Statements:
Few Platforms are Trains.
All Platforms are Stations.
Some Stations are not Passengers.
Conclusion:
I. No...
Statements:Â
J © K * R, U % R $ ZÂ
Conclusions:Â
I. Z $ JÂ
II. U % KÂ
III. U © J
Statements: P > Q ≥ R > S; U ≥ T < S; V > U
Conclusions:
I. P > V
II. Q > T
III. P ≤ UÂ
Statements:
N < P ≤ I = O; P ≥ J ≥ K ≥ W; Z ≤ M ≤ W
Conclusions:
I) O > Z
II) O = Z
...Statements: Q = R; S ≥ T; P ≤ Q; R > V; R > S; T ≥ U
Conclusions:
(i) R > U (ii) V ≥ U (iii) P = R (iv) P < R
...Statement: Z > F ≥ O; Z ≤ G = P; Q > F
Conclusion: I. P > OÂ Â Â Â Â Â II. Q > G
Statements: E > G < H > F = I ≥ J > K ≥ D
Conclusion
I: J < H
II: I > D
