The following table gives the GDP growth rate and teledensity data of different states of a country in a particular year. Study the table and answer the two items (74-75) that follow.

States	Per capita income ($)	GDP growth rate (%)	Teledensity
State 1	704	9.52	70.27
State 2	419	5.31	35.88
State 3	254	10.83	50.07
State 4	545	9.78	5.94
State 5	891	10.8	76.12
State 6	1077	11.69	77.5
State 7	900	8.88	104.86
State 8	395	5.92	6
State 9	720	7.76	82.25
State 10	893	9.55	96.7
State 11	363	4.7	57.7
State 12	966	7.85	63.8
State 13	495	9.37	52.3
State 14	864	5.46	97.9
State 15	497	7.48	62.3
State 16	777	7.03	93.8
State 17	335	5.8	49.9
State 18	599	7.49	47.84

With reference to the above table, the following assumptions have been made:

1. Nowadays, prosperity of an already high performing State cannot be sustained without making further large investments in its telecom infrastructure.
2. Nowadays, a very high teledensity is the most essential condition for promoting the business and economic growth in a state.

Which of the above assumptions is/are valid?

The correct option is Neither 1 nor 2.

Let us analyze each assumption step-by-step with reference to the data provided in the table to understand why they are not valid:

Analysis of Assumption 1:
Assumption 1 states: "Nowadays, prosperity of an already high performing State cannot be sustained without making further large investments in its telecom infrastructure."
To evaluate this assumption, we look for data related to "prosperity" (indicated by Per capita income or GDP growth rate) and "telecom infrastructure" (represented by Teledensity).
- While some high-performing states (like State 6, with Per capita income of $1077 and GDP growth rate of 11.69%) have high teledensity (77.5), the table contains no information about future investments, cost of infrastructure, or the sustainability of prosperity over time.
- A cross-sectional table representing data for a "particular year" cannot establish a causal relationship showing that future sustainment of prosperity is impossible without further large investments. Therefore, this assumption is an overgeneralization and is invalid based strictly on the table.

Analysis of Assumption 2:
Assumption 2 states: "Nowadays, a very high teledensity is the most essential condition for promoting the business and economic growth in a state."
To check if high teledensity is the "most essential condition" for promoting growth (GDP growth rate), let us look at the states with high GDP growth rates:
- State 3 has a very high GDP growth rate of 10.83%, but its teledensity is moderate at 50.07.
- State 4 has a high GDP growth rate of 9.78%, but it has an extremely low teledensity of only 5.94.
- Conversely, State 14 has a high teledensity of 97.9, but its GDP growth rate is relatively low at 5.46%.
These data points clearly show that high teledensity is not the "most essential condition" for promoting economic growth, as states with low or moderate teledensity can still achieve high growth rates. Hence, Assumption 2 is invalid.

Since both assumptions are invalid based on the data, the correct answer is Neither 1 nor 2.