Advanced Quiz – 12 September 2026 | Polity

Answer: (b) 1, 2 and 3 only

Explanation:
Statements 1, 2 and 3 are correct.

The Navier–Stokes equations describe the motion of fluids such as liquids and gases.

The Millennium Prize Problem concerns the existence, smoothness and possible breakdown of solutions to the three-dimensional Navier–Stokes equations.

The official formulation allows resolution through either proving the required existence and smoothness results or establishing breakdown under the specified mathematical conditions.

Statement 4 is incorrect. A computer-verified proof does not automatically amount to formal recognition of a Millennium Prize solution by the Clay Mathematics Institute.

Answer: (d) All four

Explanation:
All four statements are correct.

Mokha is a port city on Yemen’s Red Sea coast, located north of the Bab-el-Mandeb Strait.

The maritime sequence is: Mediterranean Sea → Suez Canal → Red Sea → Bab-el-Mandeb → Gulf of Aden → Arabian Sea

The Bab-el-Mandeb is therefore a strategically important maritime chokepoint linking the Red Sea with the Gulf of Aden and, further, the Arabian Sea and Indian Ocean.

Answer: (c) Only three

Explanation:
Statements 1, 2 and 3 are correct.

The Upper Bhadra Project involves lifting water from the Tunga River to the Bhadra reservoir, followed by further lifting and distribution of water.

The river sequence is:

Tunga + Bhadra → Tungabhadra → Krishna

Thus, the Tungabhadra forms part of the Krishna river system.

Statement 4 is incorrect because the project does not involve a Cauvery-to-Krishna inter-basin transfer. The Tunga-Bhadra-Tungabhadra system itself belongs to the Krishna basin.

Answer: (b) 1, 2 and 4 only

Explanation:
Statements 1, 2 and 4 are correct.

PM SHRI is a Centrally Sponsored Scheme aimed at strengthening existing schools and developing them as exemplar institutions reflecting the implementation of the National Education Policy, 2020.

Eligible schools may be managed by the Central Government, State/UT Governments and local bodies. PM SHRI schools are also expected to support neighbouring schools through mentoring and sharing of best practices.

Statement 3 is incorrect because the scheme is not restricted to Central Government schools.

Answer: (b) Only two

Explanation:
Statements 1 and 2 are correct.

The World Bank proposes a progression from:

1i – Investment
2i – Investment + Infusion
3i – Investment + Infusion + Innovation

“Infusion” refers to the adoption of technologies and successful practices from abroad and their diffusion across the domestic economy. Lower-middle-income economies need to move beyond investment alone by adding infusion.

Statement 3 is incorrect because innovation is added to, not substituted for, investment and infusion.

Statement 4 is incorrect because investment-led growth alone is not considered sufficient at higher stages of development.