Question
Read the given statements and conclusions carefully.
Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusions logically follow(s) from the statements. Statements: All Hills are Mountains. Some Road are Rivers. No Hill is River. Conclusion: I. No Mountain is River. II. No Hill is Road. III. Some Mountains are Hills.Solution
All Hills are Mountains (A) β Conversion β Some Mountains are Hills (I) + No Hill is River (E) β Some Mountains are not Rivers (O). Hence conclusion I does not follow. No Hill is River (E) + Some Rivers are Road (I) β Some Road are not Hills (O*). Hence conclusion II does not follow. All Hills are Mountains (A) β Conversion β Some Mountains are Hills (I). Hence conclusion III follows.
P can do a piece of work in 15 days, Q can complete double the work in 60 days and R can do the work in 40 days. If all of them together earn Rs. 3000, ...
βAβ and βBβ can do a piece of work in 20 days and 25 days, respectively. They started working together but βAβ left after 4 days. Find the t...
Aβ and βBβ together can complete a work in 20 days while βAβ takes 30 days to complete the same work alone. If βCβ is 25% more efficient t...
Ten men begin to do work. But after some days, four of them left the job. As a result, the job that could have been completed in 40 days is completed in...
Alex and John can finish a translation project alone in βpβ and βqβ days, respectively. The time taken by Alex to complete the project is 50% of...
6 women and 4 children can complete a piece of work in 12 days. If 3 more women join them, they can finish 3/5 of the work in 6 days. Find the time take...
A, B, C can do a piece of work in 11 days, 20 days, and 22 days respectively. If B works daily and is supported by A and C on alternate days beginning w...
Ishan alone can do a certain piece of work in 'w' days and Bhanumati can do it in '2w' days (w is a positive integer). Both together can do the work in ...
Anil, Anshika and Anamika can do a certain piece of work in 64 days, 72 days and 96 days, respectively. All of them started working together but after _...
P can do a piece of work in 20 days, Q can complete double the work in 40 days and R can do the work in 30 days. If all of them together earn Rs. 3200, ...