Question
A task can be finished by 'P' and 'Q' alone in 10 days
and 5 days, respectively. 'P' and 'Q' started the task together and after 3 days, 'P' was replaced by 'R'. If the entire task was completed in (20/3) days, find how many days 'R' alone would take to complete the task.Solution
ATQ,
Let the efficiency of 'R' be 'x' units/day Let total work = 30 units (LCM of 10 and 5) Efficiency of 'P' = 30/10 = 3 units/day Efficiency of 'Q' = 30/5 = 6 units/day According to the question: (3 + 6) × 3 + (6 + x) × {(20/3) − 3} = 30 Or, (11/3) × (6 + x) = 30 − 27 Or, 6 + x = 9 Or, x = 3 Number of days required by 'R' to finish the work alone = 30/3 = 10 days
Which of the following would replace @ and & respectively in the following expression such that ‘O > A’ is definitely true?
U = O > W # B ≤...
Statements: Q > M > Y < N = H ≥ S < V < R ≤ K
Conclusion
I: K > Y
II: N > S
Statements: Â A % B & G % B; B # L & J; J @ K # S
Conclusions:
I. L @ K
II. A % K
III. S @ B
...Statements: A ≥ B ≥ Y = Z = M ≥ N ≤ E ≤ F = J
Conclusions:
I. F > Z
II. J ≤ Y
...Statements: F = B < A > C; D > E ≥ A
Conclusion:
C < E
D > F
In the question, assuming the given statements to be true, find which of the conclusion (s) among given three conclusions is /are definitely true and t...
Statements: G > H = M; N < R = H; S > R
Conclusions:
I. S > M
II. G < S
III. N > G
Statement:X=Y ≥ Z > Q; Y < V ; W < Q
Conclusions:
I. V > W
II. Q > V
Statements: H @ B, B * E, V © E, W $ V
 Conclusions:     I.W $ E                 II.H @ E               �...
Statements: L < K = N ≥ M = P ≥ O > J
Conclusions:
I. O ≤ N
II. K > P
III. L > M