The question asks to identify the Constitutional Amendment Act responsible for introducing the Goods and Services Tax (GST) in India. This requires knowledge of significant constitutional amendments and their purposes.
Correct Option: D) The 101st Constitutional Amendment Act, 2016, introduced the Goods and Services Tax (GST) in India. This amendment paved the way for the implementation of a unified indirect tax system across the country.
The question asks to identify the person who served as the President of the Indian National Congress for six continuous years before India's Independence. This requires knowledge of the history of the Indian National Congress and its presidential terms.
Correct Option: C) Maulana Abul Kalam Azad remained the President of the Indian National Congress continuously for six years (1940-1946) before India's Independence. This was due to the extraordinary circumstances of World War II and the political deadlock with the British government, which led to the suspension of presidential elections.
The question gives five books (Biology, Chemistry, History, Maths and Physics) with five cover colours (black, blue, red, white and yellow) placed in a line, along with clues on their positions, and asks which combination is possible. We need to number the positions 1 to 5 from the left, fix the books and colours clue by clue, and then check each option.
Identify the given information:
Place Maths:
Maths is not at position 2 or 4. It is not at an end, because the ends hold Chemistry and the yellow book, while Maths is white. So, Maths (white) is at position 3.
Place the blue book and Biology:
Take Chemistry at position 1 and the yellow book at position 5. Chemistry cannot be red (Physics is red), black (Biology is black) or white (Maths), so Chemistry is blue.
Biology is three places from the blue book, so Biology (black) is at position 4.
Place Physics and History:
Physics (red) must be next to the blue book at position 1, so Physics is at position 2. History takes position 5 with the yellow cover.
Arrangement from the left: Chemistry-Blue, Physics-Red, Maths-White, Biology-Black, History-Yellow. The mirror arrangement (Chemistry at position 5) is also possible.
Correct Option: C) Chemistry - Blue - Number 1 from the left — In the valid arrangement, Chemistry has a blue cover and can be first from the left. Hence, Option C is the correct answer.
A) Chemistry - Yellow - Number 5 from the left: This is incorrect because Chemistry and the yellow book are at opposite ends, so Chemistry cannot be yellow.
B) Maths - White - Number 4 from the left: This is incorrect because Maths cannot be second from either end; it is always at position 3.
D) Physics - Red - Number 3 from the left: This is incorrect because Physics is not in the middle; it is at position 2 (or 4 in the mirror arrangement).
The question asks to identify the state that launched the "One Family One Job Scheme" in January 2019. This is a factual recall question related to government schemes and current affairs.
Correct Option: B) Sikkim inaugurated the "One Family One Job Scheme" in January 2019. The scheme aimed to provide a government job to at least one member of every family in the state that does not have a government employee.
The question asks to identify the state government that declared the "Pakke Paga Hornbill Festival" as a state festival. This is a factual question related to current affairs and cultural events in Indian states.
Correct Option: C) Arunachal Pradesh
The question asks about the standard colour code for dustbins used to segregate non-biodegradable waste. Proper waste segregation is crucial for effective waste management and recycling. Different colours are assigned to dustbins to indicate the type of waste they should contain.
Correct Option: B) Blue is the colour code for dustbins in which non-biodegradable wastes (especially dry waste and recyclables like plastic, paper, metal, and glass) are kept in many waste management systems, including those followed in India.
The question asks to identify the region in India to which the Spao Dance belongs. This requires knowledge of traditional Indian folk dances and their geographical origins.
Correct Option: A) Ladakh
The problem asks for the ratio \(x:y\) given an equation involving \(x\) and \(y\). The equation \(x^2 + 25y^2 = 10xy\) can be rearranged into a quadratic form, which can then be factored to find the relationship between \(x\) and \(y\).
Start with the given equation:
\[ x^{2} + 25y^{2} = 10xy \]Rearrange the equation to bring all terms to one side, setting it equal to zero:
\[ x^{2} - 10xy + 25y^{2} = 0 \]Recognize that the left side of the equation is a perfect square trinomial. It is in the form \(a^2 - 2ab + b^2 = (a-b)^2\). Here, \(a = x\) and \(b = 5y\).
So, the equation can be written as:
\[ (x - 5y)^{2} = 0 \]Take the square root of both sides:
\[ x - 5y = 0 \]Solve for \(x\) in terms of \(y\):
\[ x = 5y \]To find the ratio \(x:y\), divide both sides by \(y\) (assuming \(y \neq 0\), which must be true for a ratio to exist):
\[ \frac{x}{y} = 5 \]Express the ratio \(x:y\):
\[ x : y = 5 : 1 \]A) 5 : 1 is the correct ratio derived from the given equation.
The question asks for the year in which the 'Ibadat-Khana' (House of Worship) was constructed by the Mughal emperor Akbar. This is a factual question related to Indian history, specifically the Mughal period.
Correct Option: B) 1575 — The 'Ibadat-Khana' (House of Worship) was erected by Emperor Akbar in 1575 AD at Fatehpur Sikri. Initially, it was used for discussions among Muslim scholars, but later, Akbar opened it to scholars of all religions (Hinduism, Jainism, Christianity, Zoroastrianism, etc.) to promote religious tolerance and understanding, which eventually led to the development of Din-i Ilahi.
The question asks to identify the Lieutenant Governor of Ladakh as of December 2020. This requires knowledge of current affairs and appointments in Indian Union Territories.
Ladakh became a Union Territory on October 31, 2019. Radha Krishna Mathur was appointed as its first Lieutenant Governor on the same date. He continued to hold this position throughout December 2020.
Correct Option: C) Radha Krishna Mathur was the first and, as of December 2020, the incumbent Lieutenant Governor of Ladakh. He was appointed on October 31, 2019, and served until February 2023.