Instructions

Study the given information carefully to answer the given questions.
Seven athletes — M, N, 0, P, Q, R and S live on seven different floors of a building but not necessarily in the same order. The lowermost floor of the building is numbered one, the one above that is numbered two and so on till the topmost floor is numbered seven. Each one of them runs for a different distance in marathon 850 m, on till the topmost floor is numbered seven. Each one of them runs for a different distance in marathon 850 m, 1300 m, 2200 m, 2800 m, 3300 m, 4000 m and 4700 m, but not necessarily in the same order. The one who runs for 2200 m lives on floor numbered 3. Only one person lives between 0 and the one who runs for 2200 m. The one who runs for 4000 m lives immediately above O. Only one person lives between the one who runs for 4000 m and the one who runs for 1300 m. The number of people living between O and the one who runs for 1300 m is same as that between the one who runs for 4000 m and R. N lives on an odd numbered floor. N ran for 2000 m more than the one who lives on floor number 4. Only two people live between Q and the one who runs for 3300 m. The one who runs for 2800 m lives on one of the floors below Q but not on the floor number 2, Only two people live between M and S. The one who runs for 850 m lives immediately below M.

Question 81

If the total distance covered by B and M is 5300 m, then how much did .B run alone ?

Solution

The one who runs for 2200 m lives on floor numbered 3. Only one person lives between 0 and the one who runs for 2200 m.
There can be 2 possible scenario for above statements

The one who runs for 4000 m lives immediately above O. Only one person lives between the one who runs for 4000 m and 1300 m, And number of people living between O and the one who runs for 1300 m is same as that between 4000 m and R.

As N need to be at odd position and Q has to be two places away from it, which can be arranged in 4 scenario as below

N ran for 2000 m more than the one who lives on floor number 4 that means N is the one who ran 3300 m.
Scenario 2 and 4 are not possible as N ran 3300.
Cue one who runs for 2800 m lives on one of the floors below Q but not on the floor number 2,

Eliminates Scenario leaving us with one possible scenario that is 3. Further solving it we get

Total distance B and M covered is 5300 m and M alone covered 4700.
Hence option E.