Standing on Mahatma Gandhi bridge, Prakash said that Patna was more than 3 km but less than 8 km from there. Prashant said that it was more than 6 km but less than 10 km from there. If both of them are correct, how far is Patna from the Mahatma Gandhi bridge ?

Options

A. 8 km
B. 7 km
C. 6 km
D. Cannot be determined

Answer

B

Explanation

Let the required distance between Patna and Mahatma Gandhi bridge = x km.
According to the question `3 lt x lt 8 " " ...(i)`
`6 lt x lt 10 ... (ii) `
From (i) and (ii), it is clear that x lies between 6 and 8 i.e. 7.
Therefore, required distance = x km = 7 km.