FIA

The sum of n terms of an arithmetic progression (A.P.) is given by S_n = n/2 (a + l), where a is the first term and l is the last term. Here, a = 1/n and l = n^2 - n + 1/n. Thus, S_n = n/2 [1/n + (n^2 - n + 1/n)] = n/2 [n^2 - n + 2/n] = n/2 (n^2 - n) + n/2 * 2/n = (n^3 - n^2)/2 + 1 = (n^3 - n^2 + 2)/2. None of the given options exactly match this expression, so the correct choice is 'None of these'.

Rina Amiri was appointed as the U.S. special envoy for Afghan women, girls, and human rights in December 2021. Zalmay Khalilzad is a diplomat but was not appointed to this specific role at that time.

Brexit officially took place when the United Kingdom withdrew from the European Union on January 31, 2020. However, this was followed by a transition period during which EU law continued to apply in the UK. This transition period ended on December 31, 2020. Therefore, the date when Brexit fully came into force, marking the UK's full exit from the EU's single market and customs union, is January 1, 2021. This is the date after a year of wrangling when Brexit effectively came into force.

Israel officially opened its embassy in the United Arab Emirates in January 2021, following the normalization of relations under the Abraham Accords signed in 2020. Therefore, January 2021 is the correct date for the embassy opening.

The Pakistan Penal Code, 1860, is generally considered the foundational criminal law statute and is often listed at the top in legal schedules. The Customs Act, 1969, and the High Treason (Punishment) Act, 1973, are important but typically follow the Penal Code in precedence.

The phrase 'subtract eight times of the number b from ten times of the number c' means 10c minus 8b, which corresponds to option C. Option B reverses the order, which is incorrect.

The different seasons occur because the Earth revolves around the Sun while its axis is tilted. This tilt causes varying angles of sunlight during the year, leading to seasons. Option B is incorrect because Earth's rotation on its axis causes day and night, not seasons.

Medicines or chemicals used specifically to kill or control unwanted plants (weeds) are called herbicides. Insecticides target insects, and fungicides target fungi, so they are not correct in this context.

The series 1, 5, 9, 13, ... is an arithmetic progression with first term a = 1 and common difference d = 4. The sum of the first n terms of an arithmetic progression is given by the formula S_n = n/2 [2a + (n-1)d]. For n = 40, the sum is S_40 = 40/2 [2*1 + 39*4] = 20 [2 + 156] = 20 * 158 = 3160. Since 3160 is not among the given options, the correct answer is "None of these" (option D).

Gilgit is a city in the Gilgit-Baltistan region, which is not part of Punjab, Khyber Pakhtunkhwa, or Balochistan provinces. Therefore, the correct answer is 'None of these.'