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Questions and Answers
Which of the following is a definitively incorrect conclusion based on the provided statements?
Which of the following is a definitively incorrect conclusion based on the provided statements?
What can be concluded from the provided statements about the relationship between the blue and green houses?
What can be concluded from the provided statements about the relationship between the blue and green houses?
If there are only four houses, which of the following MUST be true?
If there are only four houses, which of the following MUST be true?
If there are five houses, what is the maximum number of possible positions for the yellow house?
If there are five houses, what is the maximum number of possible positions for the yellow house?
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Which of the following statements, if true, would NOT contradict the provided statements?
Which of the following statements, if true, would NOT contradict the provided statements?
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Based on the provided statements, which of the following is the most accurate description of the layout of the houses?
Based on the provided statements, which of the following is the most accurate description of the layout of the houses?
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What is 'music' coded as in the given code language?
What is 'music' coded as in the given code language?
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Which of the following pairs is most likely to have the same code, based on the provided information?
Which of the following pairs is most likely to have the same code, based on the provided information?
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What is the relationship between the person mentioned in the text and the mother?
What is the relationship between the person mentioned in the text and the mother?
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What is the relationship between the person mentioned in the text and the mother's father?
What is the relationship between the person mentioned in the text and the mother's father?
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What is the relationship between the person mentioned in the text and the mother's father's father?
What is the relationship between the person mentioned in the text and the mother's father's father?
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According to the given text, what is the main issue that the Finance Ministry is facing?
According to the given text, what is the main issue that the Finance Ministry is facing?
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Which of the following is a plausible course of action for the Finance Ministry to take based on the given text?
Which of the following is a plausible course of action for the Finance Ministry to take based on the given text?
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Which of the following locations is primarily associated with housing students?
Which of the following locations is primarily associated with housing students?
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What is the primary function of an aviary?
What is the primary function of an aviary?
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Which of the following is a place where betting typically occurs?
Which of the following is a place where betting typically occurs?
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What kind of events would typically take place in an arena?
What kind of events would typically take place in an arena?
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Select the option that correctly expresses the following sentence in passive voice: 'Scientists have recently discovered a new species of marine life in the unexplored depths of the ocean.'
Select the option that correctly expresses the following sentence in passive voice: 'Scientists have recently discovered a new species of marine life in the unexplored depths of the ocean.'
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What is the correct logical order of the words based on their growth process?
What is the correct logical order of the words based on their growth process?
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Which of the following words logically comes after 'Pollination' in a plant's life cycle?
Which of the following words logically comes after 'Pollination' in a plant's life cycle?
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In the context of the comedian's performance, what is the best word to fill in the blank 'the entire audience erupted in __________'?
In the context of the comedian's performance, what is the best word to fill in the blank 'the entire audience erupted in __________'?
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What sequence correctly represents the process from seed to fruit?
What sequence correctly represents the process from seed to fruit?
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Which option lists all the components involved in a plant’s reproduction process in the correct order?
Which option lists all the components involved in a plant’s reproduction process in the correct order?
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What is the one-word substitute for speaking disrespectfully about sacred or religious things?
What is the one-word substitute for speaking disrespectfully about sacred or religious things?
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What is an essential process that occurs to allow the formation of seeds in flowering plants?
What is an essential process that occurs to allow the formation of seeds in flowering plants?
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Which of the following options indicates a phase prior to fruit development in a plant's cycle?
Which of the following options indicates a phase prior to fruit development in a plant's cycle?
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Which word is an antonym of 'ameliorate'?
Which word is an antonym of 'ameliorate'?
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In the context of humor performance, which of the following is a common reaction to jokes?
In the context of humor performance, which of the following is a common reaction to jokes?
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Which term describes someone who is inclined to fight?
Which term describes someone who is inclined to fight?
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What does 'biped' refer to?
What does 'biped' refer to?
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What is the meaning of 'bigamy'?
What is the meaning of 'bigamy'?
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Which of the following best defines 'exacerbate'?
Which of the following best defines 'exacerbate'?
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What is the opposite of 'ameliorate' in terms of effect?
What is the opposite of 'ameliorate' in terms of effect?
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Which word refers to actions that disrespect sacred beliefs?
Which word refers to actions that disrespect sacred beliefs?
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What is the average of the first 92 even numbers?
What is the average of the first 92 even numbers?
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If Amit's current sale is ₹254400, what was his sale two years ago given a 6% increase in the first year and 20% in the second year?
If Amit's current sale is ₹254400, what was his sale two years ago given a 6% increase in the first year and 20% in the second year?
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If a task takes 56 hours to complete, how long would it take with a 30% time reduction?
If a task takes 56 hours to complete, how long would it take with a 30% time reduction?
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What is the outcome of a 10% increase on ₹1200?
What is the outcome of a 10% increase on ₹1200?
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What is the total sale amount if the first year's sales amount increased by 6% and the second year by 20%?
What is the total sale amount if the first year's sales amount increased by 6% and the second year by 20%?
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If a product's sale amount reduces from ₹2000 to ₹1500, what is the percentage decrease?
If a product's sale amount reduces from ₹2000 to ₹1500, what is the percentage decrease?
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Which ratio represents a decrease of 5 from 20?
Which ratio represents a decrease of 5 from 20?
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What is the average of four numbers: 18.25, 17.70, 20.65, and 24.12?
What is the average of four numbers: 18.25, 17.70, 20.65, and 24.12?
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If one number is 1310, what is the closest round number less than this?
If one number is 1310, what is the closest round number less than this?
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If the average of two numbers is 50 and one number is 80, what is the other number?
If the average of two numbers is 50 and one number is 80, what is the other number?
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In a sale, if an item is originally priced at ₹500 and offered at a 20% discount, what is the sale price?
In a sale, if an item is originally priced at ₹500 and offered at a 20% discount, what is the sale price?
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If a ratio is represented as 20:21, what does this indicate?
If a ratio is represented as 20:21, what does this indicate?
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If a person works for 48 hours a week, how many hours are worked in a month?
If a person works for 48 hours a week, how many hours are worked in a month?
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If a task was completed in 55 hours, what would be a plausible estimated duration in days?
If a task was completed in 55 hours, what would be a plausible estimated duration in days?
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Study Notes
Combined Graduate Level Examination 2024 Tier II - Mathematical Abilities
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Question 1: Simplify (5z - 7y)² + (7z + 5y)² - 49z². The correct answer is 25z² + 74y².
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Question 2: Find the average price per kg of mixed maize. 8 kg of maize costing ₹51 per kg is mixed with 9 kg of maize costing ₹68 per kg. The average price is ₹60.
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Question 3: In a circle centered at O, a diameter AB is extended to a point C outside the circle. If CD = 7√3 cm and ∠DBC = 120°, then the length of the diameter of the circle is 18 cm.
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Question 4: Two years ago, the population of a town was 9,487,500. It decreases by 8% every year. Current population is 8,030,220.
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Question 5: Find the median of the following data. The class interval and frequencies are provided, the median is 50.
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Question 6: The ratio of length to breadth of a rectangular park is 3:2, and the perimeter is 120 m. The area of the park is 864 m².
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Question 7: If A and B are two events such that P(A∪B) = 3/4 and P(A∩B) = 1/4, then the events are dependent.
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Question 8: The ratio of ages of two friends is 4:3. After 4 years, it becomes 6:5. What will be their sum of ages after 22 years? The answer is 58.
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Question 9: A tank can be emptied by pipe A in 5.6 hours, and filled by pipe B in 7 hours. Pipes are turned on alternately. The total time to empty the tank is 48 hours.
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Question 10: Akshay places three identical rings of diameter 21 cm in a way that each ring touches the other two. The contained area is 17.70 cm².
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Question 11: ABCD is a quadrilateral with diagonal BD = 70 cm. The area is 1330.
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Question 12: If a:b = 2:3 and b:c = 5:7, what is c:a? The answer is 21:10.
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Question 13: The average of the first 92 even numbers is 93.
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Question 14: Amit's sale increased by 6% in the first year, and 20% in the second year, reaching ₹254400. His sale 2 years ago was ₹200000.
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Question 15: Murlidhar offers a discount scheme 'buy 5, get 1 free'. The effective discount rate is 16.67%.
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Question 16: If sin A = 5/13, find the value of (cos A - 2 tan A)/(sin A + 3 tan A). The answer is 12/255.
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Question 17: In a circle with center O, arc ABC subtends 134° Given chord AB is produced to P, find ∠CBP. The answer is 67°.
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Question 18: Which number between 38211, 38121, 32118, and 31128 is divisible by 24? The answer is 31128.
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Question 19: Find the simple interest on ₹2000 at 6.5% per annum from 13 February 2023 to 27 April 2023. The answer is ₹26.
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Question 20: A man sells a mobile phone for ₹680 and loses some money. If he sold it for ₹1070, his gain would have been double the former loss. The cost price is ₹830.
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Question 21: The diameter of a cone's base is 56cm and its curved surface area is 3080 cm². The volume is 17248cm³
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Question 22: Given cos27°=P, find cosec²27°- cos² 63°. The answer is p/√(q²-p²).
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Question 23: Simplify (a⁵ x b³ x c²)/(a⁴ x b⁰ x c⁰). The answer is a x b⁻⁵ x c⁻².
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Question 24: If x = 4+√6 and y = 4-√6, find x² + y². The answer is 44
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Question 25: Some student ages are given. Median age is 14.5
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Question 26: Find the LCM of 2³ x 9² x 13, 2² x 13² x 19, and 9³ x 13² x 19². LCM is 2³ x 9³ x 13² x 19²
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Question 27, 28, 29: Questions from module II (Reasoning, Verbal Reasoning, General Awareness sections). Answers given, study them.
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Description
Test your skills in logical reasoning and relationship deduction with this quiz. Answer questions that challenge your critical thinking regarding house arrangements and coded language. Each question is designed to assess your understanding of logical conclusions and familial relationships.