Read the following statements carefully:
Statement 1: Ex-post savings and Ex-post investments are equal at all levels of income.
Statement 2: Under the effective demand principle, the equilibrium output is equal to ex-ante Aggregate Demand (AD). In the light of the given statements, choose the correct alternative from the following:
- Statement 1 is true: Ex-post savings and investments are equal because savings always equal investment in an economy when accounting for all income. The total savings will be used for investments.
- Statement 2 is true: Under the effective demand principle, the equilibrium output is determined when ex-ante Aggregate Demand (AD) equals actual output, i.e., the economy is at full employment.
Conclusion: Both statements are correct: Ex-post savings and investment are equal, and the equilibrium output is determined by ex-ante Aggregate Demand.
Read the following statements carefully:
Statement 1: Ex-post savings and Ex-post investments are equal at all levels of income.
Statement 2: Under the effective demand principle, the equilibrium output is equal to ex-ante Aggregate Demand (AD). In the light of the given statements, choose the correct alternative from the following:
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: