B and C together started to complete the work ‘X’ and after 10 days they both left the work and then remaining work is done by A alone in 15 days.
A and C together started to complete another work ‘Y’ and after working for 12 days they both left the work. Remaining work is done by B alone in 16 days. D first completed work ‘X’ and then completed work ‘Y’ in total 38 days.
It is given that efficiency of all, in completing work ‘X’ and work ‘Y’ is same.
Q1. A, B and C working together completed 1/3rd of work ‘X’, and then A and C are replaced by D. Now remaining of work ‘X’ is completed by B and D together. For how many days B worked?
(a) 12 days
(b) 10 days
(c) 15 days
(d) 4 days
(e) 7 days
Q2. A, C and D working simultaneously completed work ‘X’ in ‘n’ days and A, B, C and D working simultaneously completed work ‘Y’ in ‘m’ days. Find the value of (m+n). (a) 15 days
(b) 10 days
(c) 12 days
(d) 8 days
(e) None of these
Q3. A person E starts the work ‘X’ and leave after 12 days, then B and C together complete the remaining work in 8 days. What is the ratio of number of days taken by A and E together to complete the work ‘X’ to the number of days taken by D, B and C together to complete the both work ‘X’ and ‘Y’ .
(a) 3 : 5
(b) 5 : 3
(c) 8 : 7
(d) 1 : 2
(e) 4: 5
Directions (4-5): Ramesh and Suresh decided to meet at a common point at the same time in the river. Ramesh had to travel 42 km upstream in the river and Suresh had to travel 35 5/7% less distance downstream than that of Ramesh to meet at a common point. They both sets off in their respective boats at the same time and speed of Ramesh’s boat is 20 km/hr more than the speed of Suresh boat. It is given that Suresh covers 280 km upstream in 35 hours.
Q4. Find the speed of stream of river?
(a) 6 km/hr
(b) 8 km/hr
(c) 5 km/hr
(d) 10 km/hr
(e) 4 km/hr
Q5. After meeting, if they decided to return to their original places but Ramesh travelled for 19 km and Suresh travelled for 16 km, then what is the sum of time taken by both in covering these distances?
(a) 150 min
(b) 120 min
(c) 180 min
(d) 90 min
(e) 60 min
Directions (6-15): What approximate value should come in the place of the question mark (?) in the following questions? (You are not expected to calculate the exact value.)
Q6. √(?)=(1346.92+53.11)÷99.9-6.98
(a) 121
(b) 441
(c) 1024
(d) 49
(e) 196
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