UPSC CSE Prelims 2002 General Studies Paper 1 — Kerala PSC PYQ Practice with Answers

Correct answer (Option D):\nFormula: Probability = (Favorable Outcomes) / (Total Outcomes)\nGiven: Total cycle time = 60 seconds. Green time = 25 seconds.\nStep 1: Calculate the time the light is not green:\nTime not green = Total time - Green time = 60 - 25 = 35 seconds\nStep 2: Calculate the probability:\nProbability = 35 / 60 = 7 / 12\nAnswer: 7/12. Option D is correct.\n\nWhy others are wrong:\nOption A (1/3) equals 20/60, which matches no standard light category here.\nOption B (1/4) equals 15/60, which would be half the red light duration.\nOption C (5/12) equals 25/60, which represents the probability that the light IS green instead of NOT green.\n\nStudy tip:\nAlways read carefully whether a probability question asks for the occurrence or non-occurrence of an event. Subtracting the unwanted outcome duration from the total duration ensures rapid and precise computation.

Correct answer (Option C):\nThe Cabinet Mission Plan of 1946 proposed a three-tier federal framework to keep India united while offering substantial autonomy to provinces. Its rejection by the Indian National Congress and the Muslim League over grouping clauses and interim government representation closed the final door on a unified independence, making partition inevitable. Option C is correct.\n\nWhy others are wrong:\nOption A: The Cripps Mission took place earlier in 1942 and failed primarily due to its offer of dominion status rather than full freedom.\nOption B: The Rajagopalachari Formula (1944) was a political proposal that actually tacitly accepted the concept of partition under specific plebiscites.\nOption D: The Wavell Plan (1945) broke down at the Simla Conference over the composition of the Executive Council, prior to the definitive Cabinet Mission framework.\n\nRemember:\nThe Cabinet Mission consisted of three British cabinet ministers: Pethick-Lawrence, Stafford Cripps, and A.V. Alexander.

Correct answer (Option A):\nAccording to regional meteorological metrics at the time of the question, roughly one-third of India's total geographical area received an annual rainfall exceeding 750 mm. This captures the spatial distribution of monsoon precipitates across heavy-to-moderate rain zones. Option A is marked as correct in the key.\n\nWhy others are wrong:\nOption B: At the time of this examination, canals and traditional systems historically held dominant parameters, though tubewells/wells grew dynamically. Alluvial soil distribution makes Option C highly accurate today, which reflects ambiguities in historical OCR scripts or answers key listings where statement A was prioritized.\nOption D: True mountainous areas occupy roughly 10.7% of India's land area, while hills occupy 18.6%, making the combined total close to 30% but mountaineous terrain alone much less.\n\nRemember:\nAlluvial soil covers nearly 40% of India's entire geographical footprint, making it the largest soil group in the nation.

Correct answer (Option B):\nLet the side length of the cube be x cm.\nWhen the 0.2 kg (200 g) mass is removed, a volume equal to x × x × 2 cm³ rises above the water level.\nAccording to Archimedes' principle, the weight of the water displaced by this emerging portion equals the weight of the removed mass.\nDensity of water = 1 g/cm³\nFormula: Mass = Volume × Density\n200 = x² × 2 × 1\nx² = 100\nx = 10 cm\nAnswer: 10 cm. Option B is correct.\n\nWhy others are wrong:\nOption A: If the side were 12 cm, removing 200 g would only cause it to rise 200 / 144 = 1.39 cm.\nOption C: If the side were 8 cm, removing 200 g would make it rise 200 / 64 = 3.125 cm.\nOption D: If the side were 6 cm, removing 200 g would require a rise of 200 / 36 = 5.56 cm.\n\nStudy tip:\nWhen working with buoyancy and floating objects, the mass added or subtracted directly equals the mass of water displaced by the changing volume section. Keeping units consistent (grams and centimeters) simplifies calculations.

Correct answer (Option B):\nZiauddin Barani, a conservative contemporary chronicler of the Delhi Sultanate, lamented that the Sultans prioritized political expediency, state laws (Zawabit), and imperial survival over the strict implementations of Sharia rules advocated by Islamic theologians. Since the state chose pragmatic governance over orthodox clerical diktats, Barani refused to see it as a purely Islamic state. Option B is correct.\n\nWhy others are wrong:\nOption A: Barani was aware of the population demographics, but his critique concentrated specifically on the institutional policy choices of the rulers.\nOption C: Rulers did frame state regulations, but the fundamental ideological breakdown in Barani's eyes was the active sidelining and disregard of conservative scholars.\nOption D: True structured religious liberty was not systematically granted under standard medieval parameters; non-Muslims were governed as Zimmis under tribute.