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Questions and Answers
Which of the following options is NOT a correct spelling?
From which part of the plant is potato obtained?
What type of organism causes Filaria?
What is the states that have common border with China?
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A citizen of India will lose his or her citizenship if he or she _________.
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Computers use the __________ number system to store data and perform calculations.
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Which of the following Vedas is associated with Musical Hymns?
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When is 'Constitution Day' or 'Sanvidhan Divas' celebrated?
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What is the cost price of an article sold for Rs. 161 with a gain of 1/6th of the outlay?
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What is the area of the remaining part of a square park with a side length of 100 meters after accounting for flower beds at each corner?
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How many types of Prerogative Writs exist in the Indian Constitution?
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What is the relationship of M to B if A is the brother of R, C is the mother of B, and M is the sister of C?
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If I take a total of 37 minutes to walk a certain distance and ride back, how long would it take to ride both ways?
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Which article is required before the word 'marble' in the phrase 'Taj Mahal is built of ________ marble'?
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What is the ratio between the first number and the second number if 20% of the first number added to the second increases it by 50%?
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If the ratio of 11 : 17 is equivalent to 19 : ________, what is the missing number?
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What is the formula for calculating the area of a circle given its radius?
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If the radius is increased by 1%, what expression represents the new radius?
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What is the percentage increase in the area of a circle when its radius is increased by 1%?
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If the cost price of each pen is Rs.x, what is the selling price of 80 pens if the selling price of 100 pens equals the cost price of 100 pens plus the profit?
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How much profit is made when selling 100 pens, given the cost price of 100 pens is Rs. 100x?
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What is the selling price of 100 pens if the selling price of 80 pens is equal to the cost price of 100 pens?
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Which of the following statements is true about the increase in area when the radius of a circle is increased by 1%?
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What is the profit percentage derived when selling 100 pens, if the cost price of each pen is Rs.x?
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What shape does the pointer of a monitor take when it is positioned over a hyperlink?
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Which statement accurately describes a potato?
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Under the Citizenship Act, 1955, which of the following actions can lead to the loss of Indian citizenship?
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What disease is also known as elephantiasis?
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What does the phrase 'Satyameva Jayate' translate to in English?
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Which generation does the Apple II computer belong to?
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Which of the following functions does the Supreme Court of India perform?
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Which States share a common border with China?
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What does a puisne judge refer to in a High Court?
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What is the result of a persistent fall in the general price level of goods and services?
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Who demonstrated that planets move in elliptical orbits around the Sun?
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What is the area of A4 size paper relative to the area of A0 size paper?
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In the family relationship described, what is P's relationship to Q?
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What was the previous name of Netaji Subhas Chandra Bose Dweep?
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If the unit's digit of a two-digit number is x, what is the expression for that number?
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What does 'TO' mean based on the given statements?
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Study Notes
Geometry and Area Calculations
- Area of a circle formula: ( A = \pi r^2 )
- Increasing radius by 1% changes ( r ) to ( r + \frac{r}{100} = \frac{101r}{100} )
- New area with adjusted radius: ( A = \pi \left(\frac{101r}{100}\right)^2 = \pi \frac{10201r^2}{10000} )
- Increase in area:
- Original area: ( \pi r^2 )
- New area: ( \pi \frac{10201r^2}{10000} )
- Increase: ( \pi \frac{10201r^2}{10000} - \pi r^2 = \frac{10000\pi r^2}{10000} = 10000\pi r^2 )
- Percentage increase in area calculation:
- ( \frac{10000\pi r^2}{\pi r^2} \times 100 = 2001% )
Important Figures in Indian History
- Mahatma Gandhi: Real name Mohandas Karamchand Gandhi; key figure in India's freedom struggle; founder of Satyagraha; died on January 30, 1948.
- Pandit Jawaharlal Nehru: First Prime Minister of India; major leader in the independence movement; passed away on May 27, 1964.
- Lal Bahadur Shastri: Second Prime Minister; important leader in Congress; died from a heart attack on January 11, 1966.
- Indira Gandhi: First and only female Prime Minister of India; died on October 31, 1984.
Mathematics and Profit Calculations
- Selling price and cost price relationship:
- Selling price of 100 pens - Cost price of 100 pens = Selling price from profit on 20 pens.
- Form the equation: ( 100x - 80x = 20x )
- Profit percentage formula:
- ( \text{Profit%} = \frac{20x}{80x} \times 100 = 25% )
General Knowledge Questions
- Potato source: Modified stem of the plant.
- Correct spelling: Blasphemy.
- Loss of citizenship: Occurs when an Indian citizen renounces citizenship or acquires another country's citizenship.
- Filaria disease: Caused by parasitic worms.
- "Satyameva Jayate" origin: Taken from the Mundaka Upanishad.
Technology and Computing
- APPLE II: Represents a fourth generation computer released in 1977; the first successful mass-produced microcomputer.
- Number system for computers: Binary, utilizing 0 and 1 for data storage and calculations.
Indian Constitution and Miscellaneous
- Preamble: Reflects the ideals of the Constitution’s framers; comes into force on January 26, celebrated as Republic Day.
- Supreme Court of India: Functions as a final court of appeal; upholds citizen liberties but does not protect the Directive Principles of State Policy.
- States bordering China: Include Jammu and Kashmir, Arunachal Pradesh, Sikkim, and Himachal Pradesh.
- Constitution Day: Celebrated on November 26.
Logical Reasoning and Puzzles
- Writs: There are five types in the Indian Constitution.
- Number Relationships: Problems often involve algebra and reasoning to determine number transformations.
- Average and Summation: Theoretical understanding of averages and their computations in contexts presented in word problems.
Miscellaneous Historical Events
- Atomic bombings: Hiroshima and Nagasaki bombings occurred in August 1945 during World War II, signifying the first use of nuclear weapons.
Nature of Queries
- Questions often include grammar, spelling, and logic related situations to test a wide range of knowledge and critical thinking.
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Description
This quiz explores the mathematical concept of how an increase in the radius of a circle affects its area. It involves calculating the new area after a 1% increase in radius and determining the increase in area derived from this change. Perfect for students looking to enhance their geometry skills!
