After independence, the rationale behind choosing Modernization as a planning objective for the Indian economy were ________ .
- I: To bring positive changes in the social outlook, India wanted to modernize agriculture, industry, and services to improve quality of life for its citizens.
- III: Technological upgradation was crucial for India's industrialization and modernization to ensure long-term growth.
- II: While equitable distribution of income is important, it was not the primary rationale behind choosing modernization as the main goal in India's early planning stages.
- IV: Increasing the economic divide was not a goal of modernization but rather reducing it.
Conclusion: Option (C) is the correct answer because both improving social outlook and technological upgradation were the key goals.
| Row | Statistical Model | Elasticity |
| 1 | \(y_t=β_1+β_2\frac{1}{x_t}\epsilon_t\) | \(-\frac{β_2}{x^2_t}\) |
| 2 | \(y_t=β_1-β_2\text{ln}(x_t)+\epsilon_t\) | \(-\frac{β_2}{x^2_t}\) |
| 3 | ln(yt) = β1 + β2 ln(xt) + εt | β2 |
| 4 | ln(yt) = β1 + β2xt + εt | β2xt |
| 5 | ln(yt) = β1 + β2 ln(xt) + εt | β2 exp(xt) |
| 6 | ln(yt) = β1 + β2xt + εt | \(β_2\frac{1}{\text{exp}(x_t)}\) |
Two players \( A \) and \( B \) are playing a game. Player \( A \) has two available actions \( a_1 \) and \( a_2 \). Player \( B \) has two available actions \( b_1 \) and \( b_2 \). The payoff matrix arising from their actions is presented below:

Let \( p \) be the probability that player \( A \) plays action \( a_1 \) in the mixed strategy Nash equilibrium of the game.
Then the value of p is (round off to one decimal place).
Eight students (P, Q, R, S, T, U, V, and W) are playing musical chairs. The figure indicates their order of position at the start of the game. They play the game by moving forward in a circle in the clockwise direction.
After the 1st round, the 4th student behind P leaves the game.
After the 2nd round, the 5th student behind Q leaves the game.
After the 3rd round, the 3rd student behind V leaves the game.
After the 4th round, the 4th student behind U leaves the game.
Who all are left in the game after the 4th round?

Here are two analogous groups, Group-I and Group-II, that list words in their decreasing order of intensity. Identify the missing word in Group-II.
Abuse \( \rightarrow \) Insult \( \rightarrow \) Ridicule
__________ \( \rightarrow \) Praise \( \rightarrow \) Appreciate
The 12 musical notes are given as \( C, C^\#, D, D^\#, E, F, F^\#, G, G^\#, A, A^\#, B \). Frequency of each note is \( \sqrt[12]{2} \) times the frequency of the previous note. If the frequency of the note C is 130.8 Hz, then the ratio of frequencies of notes F# and C is: