Question
Tap A can fill a tank in 15 hours. Tap B can fill 20%
part of the same tank in 4 hours, whereas Tap C can alone empty a tank in ‘x’ hours. 2/5 part of the tank is filled in 4 hours, when all three taps are opened together. How much time (in hours) will Tap A and C together will take to fill 20% part of the tank?Solution
 Tap A alone can fill the tank in = 15 hours. Tap B alone can fill the tank in = (5/1) × 4 = 20 hours Tap C alone can empty the tank in = x hours (A + B +C) together can fill the tank in = 4 × (5/2) = 10 Taking LCM of 15, 20 and 10 = 60 Efficiency of Tap A = 4 Efficiency of Tap B = 3 Efficiency of Taps (A + B +C) = 6 Efficiency of Taps (A +C) = 6 – 3 = 3 Tap A and C together take to fill 20% part of the tank in, => (20/100) × (60/3) = 4 hours
Statement: T < U; W ≤ V = U; I > V; X ≥ U
Conclusion:
I. I > X
II. X ≥ I
Statements:
M < K ≤ G ≤ Z; P = J > Z; I ≥ R > P;
Conclusions:
I. K ≤ P
II. M < R
What should come in the place of question mark, in the given expressions to make ‘J < E’ always true?
‘D < E _? _F = G ≥ H = I ≥ J’
Which of the following makes C $ E or Y % E definitely true?
Statements: J > K = L ≥ M ≥ Q; N < O ≤ P < Q
Conclusions:
I. Q > N
II. J > O
Statement: N = P ≤ Q; R ≥ Q < U
Conclusions: I. N < U II. R ≥ N
...Statements: I > E ≥ F; G < D ≤ I; J < E ≤ H
Conclusions:
I. G < E
II. H ≥ F
III. E < D
Statements: Q > U = V ≤ X; R ≥ S ≥ X
Conclusions:
I. U = S
II. V < S
Statements:
A < R ≤ Y = F; U > L = T; A < L = P > E
Conclusions:
I). U > E
II). T > Y
...Statements: F % W, W © R, R @ M, M $ D
Conclusions:
 I.D @ R                               II.M $ F�...