FIA Assistant Director Paper 2019 Batch 1

The displacement vector from P(1,1,1) to Q(1,2,2) is (0,1,1). The work done is the dot product of force F = (1,1,1) and displacement vector (0,1,1), which equals 1*0 + 1*1 + 1*1 = 2.

The indemnity provision under the FIA Act is specifically given in Section 8-A, which provides protection to officers and employees of the FIA from legal proceedings for acts done in good faith during their official duties.

The word 'divulge' means to reveal or disclose information, which fits the context of not revealing further information to avoid jeopardizing the investigation. The other options do not fit as precisely in this context.

The correct sentence is "It's going to be chilly weather tomorrow as confirmed in the Met Department's report." "It's" is the contraction of "It is," which fits the sentence context. Also, "Met" is short for "Meteorological," so it should be capitalized as part of the proper noun "Met Department." Option B incorrectly uses "Its" which is a possessive pronoun and does not fit here.

Option A correctly uses 'cause and effect' to describe the relationship that remains the focus of scientific investigation, with proper singular agreement. Option B incorrectly uses 'affect' instead of 'effect'. Option C incorrectly pluralizes 'relationships' which changes the meaning. Option D is incorrect as option A is correct.

Li Qiang is the current Premier of the State Council of China, effectively the Prime Minister, having taken office in March 2023. Wen Jiabao and Li Peng are former premiers. Therefore, option A is correct.

Jupiter is commonly known as the 'Bodyguard of the Earth' because its massive gravitational field acts as a cosmic shield, deflecting, capturing, or ejecting many comets and asteroids that might otherwise collide with Earth. While Saturn also has a strong gravitational influence, Jupiter's role in protecting Earth from many potential impacts is more significant and widely recognized in astronomy.

Antonio Guterres has been the Secretary-General of the United Nations since January 1, 2017, succeeding Ban Ki-moon. Therefore, option A is correct.

The series is a geometric series with first term a = 2 and common ratio r = 1/5. The sum to infinity is a / (1 - r) = 2 / (1 - 1/5) = 2 / (4/5) = 2 * 5/4 = 5/2. However, the terms given are 2 + 2/5 + 2/25 + 2/125 + ..., which matches the ratio 1/5. The sum is 2 / (1 - 1/5) = 2 / (4/5) = 2 * 5/4 = 5/2. Therefore, the correct answer is 5/2, which corresponds to option B. The original correct_answer was B, which is correct. The explanation was missing and has been added. The difficulty is set to easy as this is a basic geometric series sum problem.

Rajab is the seventh month in the Islamic (Hijri) calendar. The options correctly list '7th' as option C, so the correct answer is 'C'. The original correct_answer was incorrectly set to 'A' (6th), but the factual month number for Rajab is 7th.