The question asks for the specific term used to refer to Jain monastic establishments. This requires knowledge of Jain terminology.
Correct Option: B) Basadis are indeed the terms used for Jain monastic establishments or temples, especially prevalent in Karnataka and other parts of South India. They serve as places of worship and residence for Jain monks and nuns.
The question asks about the main agenda of the United Nations Katowice Conference held in December 2018. This requires knowledge of major international conferences and their primary focus areas, particularly those related to global environmental and political issues.
Correct Option: A) Climate change
The question asks to identify the city that hosted the Summer Paralympics in 2021. This requires knowledge of recent major international sporting events.
The Summer Olympics and Paralympics, originally scheduled for 2020, were held in Tokyo, Japan, in 2021 due to the global pandemic. The Paralympic Games followed the Olympic Games in the same host city.
D) Tokyo, Japan. The 2020 Summer Paralympics (which were held in 2021) were hosted by Tokyo, Japan, from August 24 to September 5, 2021.
The question asks about the founder of the 'Prarthana Samaj'. This requires knowledge of prominent social and religious reform movements in India and their key figures.
Correct Option: A) Atmaram Pandurang established the Prarthana Samaj in 1867 in Bombay (now Mumbai). The movement aimed at religious and social reform, emphasizing monotheism, social equality, and opposition to idolatry and caste distinctions. While Mahadev Govind Ranade and R.G. Bhandarkar later became prominent leaders, Atmaram Pandurang was the founder.
47 − 4 is NOT a multiple of:
To determine which number is NOT a multiple of the given expression, we first need to evaluate the expression \(4^7 - 4\). Then, we will check the divisibility of the result by each of the options provided.
The given expression is \(4^7 - 4\).
We can factor out 4 from the expression:
\[ 4^7 - 4 = 4(4^6 - 1) \]Since the expression is \(4(4^6 - 1)\), it is clearly a multiple of 4.
Since the expression is a multiple of 4, and 4 is a multiple of 2, the expression must also be a multiple of 2.
We need to check if \(4^6 - 1\) is a multiple of 7.
We can use the property \(a^n - b^n\) is divisible by \(a-b\).
Here, \(4^6 - 1 = (4^3)^2 - 1^2 = (64)^2 - 1^2\).
Alternatively, we can evaluate \(4^6 - 1\):
\[ 4^1 = 4 \]\[ 4^2 = 16 \]\[ 4^3 = 64 \]\[ 4^4 = 256 \]\[ 4^5 = 1024 \]\[ 4^6 = 4096 \]\[ 4^6 - 1 = 4096 - 1 = 4095 \]\[ \frac{4095}{7} = 585 \]Thus, \(4^6 - 1\) is a multiple of 7. Therefore, \(4(4^6 - 1)\) is also a multiple of 7.We have the expression \(4(4^6 - 1)\).
For this to be a multiple of 8, \(4^6 - 1\) must be an even number, or more specifically, \(4(4^6 - 1)\) must be divisible by 8.
We know that \(4^6\) is an even number (since 4 is even, any positive integer power of 4 is even).
An even number minus 1 results in an odd number.
So, \(4^6 - 1\) is an odd number.
Therefore, \(4(4^6 - 1)\) is equal to 4 multiplied by an odd number. This product will be a multiple of 4 but not a multiple of 8.
For example, \(4 \times 1 = 4\), \(4 \times 3 = 12\), \(4 \times 5 = 20\), etc. None of these are multiples of 8.
Thus, \(4^7 - 4\) is NOT a multiple of 8.
B) \(4^7 - 4\) is NOT a multiple of 8. As shown in step 5, \(4^7 - 4 = 4(4^6 - 1)\). Since \(4^6 - 1\) is an odd number, \(4\) multiplied by an odd number will always be a multiple of 4 but never a multiple of 8.
A can do \( \frac{1}{5} \) th of some work in 12 days, B can do 20% of the same work in 10 days, C can do \( \frac{1}{6} \) th of the work in 8 days and D can do \( \frac{1}{5} \) th of the work in 12 days. Who will complete the work first if all four started to work at the same time?
To determine who completes the work first, we need to calculate the total number of days each person takes to complete the entire work. We are given the fraction or percentage of work done by each person in a certain number of days. We will use this information to find the time taken to complete the full work (100% or 1 unit of work) for each individual.
Correct Option: D) C will complete the work first, as C takes 48 days, which is the shortest time among all four individuals.
The question asks about the predecessor to the World Trade Organization (WTO). This requires knowledge of the historical development of international trade agreements and organizations.
C) General Agreement on Tariffs and Trade. The GATT was the precursor to the WTO, providing the framework for multilateral trade negotiations for nearly five decades before being superseded by the WTO in 1995.
The question asks for the full form of DPI in the context of digital images. This is a common term used in printing and digital imaging, and knowing its full form is essential for understanding image resolution.
B) Dots per inch is the correct full form of DPI. It is a measure of spatial printing or video dot density, in particular the number of individual dots that can be placed in a line within the span of 1 inch (2.54 cm). DPI is used to describe the resolution of a hard copy printout of a digital image or the resolution of an image scanner or printer.
To find the sub-duplicate ratio of two numbers, we need to take the square root of each number and then express them as a ratio. The sub-duplicate ratio of \(a:b\) is \(\sqrt{a} : \sqrt{b}\).
A) 15 : 12 is the correct sub-duplicate ratio as \(\sqrt{225} = 15\) and \(\sqrt{144} = 12\).
The question asks to identify the first woman President of the Astronomical Society of India. This is a factual question requiring knowledge of significant appointments in Indian scientific organizations.
Dr. GC Anupama is a distinguished Indian astrophysicist who became the first woman President of the Astronomical Society of India in 2019. She is associated with the Indian Institute of Astrophysics (IIA) in Bengaluru.
Correct Option: C) Dr. GC Anupama is the first woman President of the Astronomical Society of India, having taken the position in 2019.