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Question 1 General Science
A wave has a wavelength of 0.5 m and a frequency of 200 Hz. Its speed is:
- A. 100 m/s
- B. 200 m/s
- C. 400 m/s
- D. 50 m/s
Correct answer: A. 100 m/s
Correct answer (Option A):\nFormula: v = f × λ\nGiven: frequency (f) = 200 Hz, wavelength (λ) = 0.5 m\nStep 1: v = 200 × 0.5\nStep 2: v = 100 m/s\nAnswer: 100 m/s. Option A is correct.\n\nWhy others are wrong:\nOption B, C, and D are incorrect calculation products that do not satisfy the wave speed equation.\n\nStudy tip:\nWave speed is always the product of frequency and wavelength. Remember the linear relationship v = fλ for all periodic waves.
Question 2 Mathematics
A pipe can fill a tank in 6 hours. Another pipe can empty the filled tank in 42 hours. If both the pipes are opened simultaneously, then the time (in hours) in which the tank will be filled is:
- A. 8
- B. 9
- C. 10
- D. 7
Correct answer: D. 7
Correct answer (Option D):\nFormula: Net work per hour = (1 / fill_time) - (1 / empty_time)\nGiven: Fill time = 6 hours, Empty time = 42 hours\nStep 1: Net work per hour = (1 / 6) - (1 / 42)\nStep 2: Net work per hour = (7 - 1) / 42 = 6 / 42 = 1 / 7\nStep 3: Total time to fill = 7 hours\nAnswer: 7 hours. Option D is correct.\n\nWhy others are wrong:\nOptions A, B, and C do not match the calculated rate of 1/7 per hour.\n\nStudy tip:\nWhen an emptying pipe is active, its work rate must be subtracted from the filling pipe's rate.
Question 3 General Awareness
Which of the following is the primary international body that promotes global trade liberalization and economic globalization?
- A. World Trade Organization (WTO)
- B. European Free Trade Association (EFTA)
- C. Shanghai Cooperation Organization (SCO)
- D. African Continental Free Trade Area (AfCFTA)
Correct answer: A. World Trade Organization (WTO)
Correct answer (Option A):\nThe World Trade Organization (WTO) is the sole global international organization dealing with the rules of trade between nations, driving liberalization globally. Option A is correct.\n\nWhy others are wrong:\nOptions B, C, and D represent regional trade alliances or geopolitical entities rather than the primary global trade institution.\n\nStudy tip:\nThe WTO officially commenced operations on January 1, 1995, under the Marrakesh Agreement, replacing the General Agreement on Tariffs and Trade (GATT).
Question 4 General Intelligence and Reasoning
Below are given two sets of numbers: 5-10-20-40 and 3-6-12-24. Which of the given options follows the same set of operations?
- A. 3-6-12-23
- B. 6-12-24-48
- C. 11-22-24-28
- D. 6-10-12-14
Correct answer: B. 6-12-24-48
Correct answer (Option B):\nPattern: Each successive number is multiplied by 2 (n, 2n, 4n, 8n).\nGiven pairs: 5 → 10 → 20 → 40 and 3 → 6 → 12 → 24.\nApplying to option B: 6 × 2 = 12; 12 × 2 = 24; 24 × 2 = 48.\nOption B matches perfectly.\n\nWhy others are wrong:\nOptions A, C, and D fail to maintain the constant multiplication factor of 2 across all steps.\n\nStudy tip:\nLook for geometric progressions or uniform multi-step arithmetic operations across sample pairs.
Question 5 General Awareness
Which of the following groups represents Indo-Aryan languages primarily spoken in the eastern region of India?
- A. Konkani, Marathi, Gujarati
- B. Assamese, Bengali, Odia
- C. Assamese, Konkani, Odia
- D. Bengali, Maithali, Konkani
Correct answer: B. Assamese, Bengali, Odia
Correct answer (Option B):\nAssamese, Bengali, and Odia belong to the Eastern group of Indo-Aryan languages, spoken predominantly across eastern Indian states. Option B is correct.\n\nWhy others are wrong:\nOptions A, C, and D contain Konkani, Gujarati, or Marathi, which belong to the Southern or Western Indo-Aryan subgroups.\n\nStudy tip:\nEastern Indo-Aryan languages developed from Magadhi Prakrit and include Maithili, Bhojpuri, Odia, Bengali, and Assamese.