Question
A, B, and C together can do a work alone in 10 days, 45
days, and 90 days respectively. A alone starts the work and work for 3 days and leaves the work, then B alone does the work for 8 days and leaves the work. If remaining work is done by C alone then for how many days has C worked?Solution
Total work = LCM of 10, 45 and 90 = 90 units Unit per day of A = 90/10 = 9 Unit per day of B = 90/45 = 2 Unit per day of C = 90/90 = 1 Units of work done by A in 3 days = 9 × 3 = 27 units Units of work done by B in 8 days = 8 × 2 = 16 units Remaining work = 90 – (27 + 16) = 47 units So, C has worked for 47/1 = 47 days
Read the given statement and conclusions carefully. Decide which of the given conclusions is/are true based on the statement.
Statement:
U...
Statements: U $ N © C @ H © Y
Conclusions:Â
 I. U © HÂ
II. C # UÂ
III.H © U
Statements: D > E > G ≤ H < I; G > P > F
Conclusions:
I. D > F
II. P < I
III. D > I
If '>' denotes '+', '<' denotes '-', '-' denotes '×', '×' denotes '÷', '÷' denotes '=', then choose the correct statement of the following.
...Statements: Z ≤ O = Q < P; A = X > M = Y ≥ P
Conclusions:
I. A > O
II. Z < X
III. Q ≤ M
Statement: A < B; D ≤ C = B; I > C; E ≥ B
Conclusion:
I. I > E
II. E ≥ I
Statements: S > U ≥ V = X, Y < M < X, Y = T ≥ W
Conclusions:
I. S > Y
II. M ≤ U
III. W < XStatement: C ≥ O ≥ S = Z ≤ N = R
Conclusions:
I. C > N
II. S ≤ R
Statements: Z % Y; X # W; U % V; W & V; Y @ X
Conclusions:Â Â Â Â Â
I. U @ X Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â ...
Statements: B & A, A # O, O $ Z, Z @ S
Conclusions:
I. Z $ A
II. Z & A
Relevant for Exams:
