Two centrifugal pumps P and R are available for use in a pipe flow system and their head-discharge characteristics are as follows.

PUMP P PUMP R
Discharge (cumecs)  Head (m) Discharge (cumecs) Head (m)
0 40 0 45
0.12 35 0.14 40
0.2 28 0.24 35
0.3 18 0.36 21

The following statements (S1, S2 and S3) pertain to the head and discharge values during actual operation. Neglect losses in the system.

Which of the following statements are correct?

S1: When the two pumps P and R are connected in parallel, the discharge is 0.36 cumecs corresponding to a head of 35 m.

S2: When the two pumps P and R are connected in parallel, the discharge is 0.36 cumecs corresponding to a head of 70 m.

S3: When the two pumps P and R are connected in series, the discharge is 0.3 cumec corresponding to a head of 46 m.