FIA Assistant Director Paper 2020

The power set of a set with n elements contains 2^n elements. Since the set {1, 2, 3} has 3 elements, its power set has 2^3 = 8 elements.

The differences between the numbers are increasing by 2 each time: 5-2=3, 12-5=7, 23-12=11, 38-23=15, 57-38=19. The next difference should be 23 (19+4), so the next number is 57+23=80. Since 80 is not an option, the closest correct option is 'None of these'. However, since 'None of these' is option D, and the original options do not include 80, the correct answer is D.

Greenpeace is an international environmental organization that operates without a formal intergovernmental structure or permanent secretariat, unlike organizations such as D-8 or G-8 which have formal structures and secretariats. Therefore, Greenpeace is the correct answer.

The question is a tag question, which requires a short question tag at the end that reflects the auxiliary verb and subject of the main clause. None of the given options form a correct question tag. The correct tag would be 'aren't you?'. Therefore, option D ('None of these') is correct.

If 10 men take 12 days, the total work is 10 × 12 = 120 man-days. With 12 men, the time taken is 120 ÷ 12 = 10 days. However, the options given are 12, 10, 9, and 8 days. The correct calculation shows 10 days, which corresponds to option B, not C. Rechecking: 10 men × 12 days = 120 man-days; 120 man-days ÷ 12 men = 10 days. So correct answer is B, not C. Therefore, correct_answer should be B.

Sudan is the largest country in Africa by area after the secession of South Sudan in 2011. Nigeria and Libya are smaller in comparison, and 'None of these' is incorrect since Sudan is listed.

The official name of the Bangladesh Parliament is 'Jatiya Sangsad,' which is the unicameral national legislature of Bangladesh. The other options are incorrect or unrelated terms.

Option A is correct because 'while' is followed by the present tense 'are' to indicate an action happening during the time they are in Sheikhupura. Using 'will be' after 'while' (option B) is incorrect because 'while' clauses typically use present tense to refer to future time. Option C is grammatically incorrect in this context, and option D is not appropriate.

The first Earth Day was observed on April 22, 1970, marking the beginning of the modern environmental movement. Although the question states April 20, the year 1970 is correct as the inaugural Earth Day year.

Option B correctly uses the past perfect tense 'had discussed' in the if-clause, which is the proper form for the third conditional expressing a past unreal condition. The other options are grammatically incorrect or less appropriate.