Question
Manoj alone can complete 35% of a work alone in 7 days.
Vipin is 20% less efficient than Manoj. Manoj and Vipin together started the work and left after completing 36% of the work. Then Ram joined and worked with 1/8th of his efficiency which is ‘x’ units/day for 19 days. The remaining work is completed by both Manoj and Vipin in 5 days. Find the time taken by Ram alone to complete 80% of the work with his original efficiency. I. (2x + 8) days II. (10x – 2) days III. (22x – 12) daysSolution
Time taken by Manoj to complete the whole work = 7/0.35 = 20 days Time taken by Vipin to complete the whole work = 20/0.80 = 25 days Let the total work = 100 units (L.C.M of 20 and 25) Efficiency of Manoj = 100/20 = 5 units/day Efficiency of Vipin = 100/25 = 4 units/day Time taken by Manoj and Vipin to complete 36% of the work = 0.36 × 100/(5 + 4) = 4 days Amount of work done by Manoj and Vipin in 5 days = (5 + 4) × 5 = 45 units Remaining work = 100 – (36 + 45) = 19 units Therefore, 19x = 19 Or, x = 1 units/day Original efficiency of Ram = 1 × 8 = 8 units/day Time taken by Ram to complete 80% of work = (0.80 ×100)/8 = 10 days For I: (2x + 8) = 1 × 2 + 8 = 10 days Therefore, I can be the answer. For II: (10x – 2) = 7 × 1 – 2 = 8 days Therefore, II cannot be the answer. For III: (22x – 12) = 22 × 1 – 12 = 10 days Therefore, III can be the answer.
Statements: U & K # X % I % W; T # M $ W; T @ N @ S
Conclusions:
I. X @ M
II. K $ S
III. N # I
Statement: Y < Z > I < Q > S = M ≤ N
Conclusions:
I. S= N
II. Q > M
Statement: D < M < P = V = E ≥ T > Z
Conclusion: I. P > Z II. D > E
Statements:
A = C > E = F > D; Y < Z ≤ F
Conclusions:
I. E > Z
II. D ˃ Y
Statements: B > A = D ≥ C = I ≥ H > E > F > G
Conclusions:
I. C ≥ E
II. E > C
III. A ≥ DStatements:
Q ≥ J ≤ V; U > J > X; M = U < P
Conclusions:
I. P > X
II. V ≥ M
Statements: B > C, D > E, C = F, A ≥ F, D = A
Conclusion:
I. B ≥ E
II. E > B
Statements: A % B & G @ T $ D; W % A # P
Conclusions : I. D % B II. A % G ...
Statement: B = E ≥ F ≥ M < J < V ≥ R; M > A
Conclusion:
I. A ≥ R
II. B > A
...In the following question the relationship between different elements is given in the statements followed by three conclusions I, II and III. Read the ...
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