The question asks to identify the Governor of the Reserve Bank of India (RBI) as of October 2020. This requires knowledge of current affairs and the history of RBI governorships.
Shaktikanta Das assumed office as the 25th Governor of the Reserve Bank of India on December 12, 2018. He was still serving in this capacity in October 2020.
Correct Option: D) Shaktikanta Das
0.\(\overline{23}\) is:
a prime number
a composite number
a rational number
an irrational number
The question asks to classify the given number \(0.\overline{23}\). We need to determine if it's a prime, composite, rational, or irrational number. The key to solving this is understanding the definition of a rational number, especially for repeating decimals.
Correct Option: C) a rational number
This is a question based on deductive reasoning, specifically syllogism. We need to analyze the given statements and determine which assumption logically follows from them. We can use Venn diagrams or logical rules to derive conclusions.
Statement 1: Some Pens are Inks.
This means there is an overlap between the set of Pens and the set of Inks. Let's denote this as \(P \cap I \neq \emptyset\).
Statement 2: Some Inks are Pencils.
This means there is an overlap between the set of Inks and the set of Pencils. Let's denote this as \(I \cap C \neq \emptyset\).
Statement 3: All Pencils are Pens.
This is a universal affirmative statement. It means that the set of Pencils is entirely contained within the set of Pens. Let's denote this as \(C \subset P\).
Combine Statement 2 and Statement 3:
From Statement 2, we know that some Inks are Pencils (\(I \cap C \neq \emptyset\)).
From Statement 3, we know that all Pencils are Pens (\(C \subset P\)).
If some Inks are Pencils, and all Pencils are Pens, then it logically follows that those Pencils which are Inks must also be Pens. Therefore, some Inks are Pens, and more specifically, some Pens are Pencils.
Consider an element \(x\). If \(x \in I\) and \(x \in C\) (from Statement 2), and if \(x \in C \implies x \in P\) (from Statement 3), then it must be true that \(x \in I\) and \(x \in P\). This means there is an overlap between Inks and Pens. However, the question asks for an implicit assumption, which is a direct conclusion.
Let's re-evaluate the direct conclusion from Statement 2 and 3: Since some Inks are Pencils, and all Pencils are Pens, it implies that some Inks are also Pens. This is consistent with Statement 1, but doesn't directly give us one of the options.
Let's focus on Statement 3: All Pencils are Pens. This means that every single item that is a Pencil is also a Pen. If we have a set of Pencils, that entire set is a subset of Pens.
Now consider Statement 2: Some Inks are Pencils. This means there is at least one item that is both an Ink and a Pencil.
If there is an item that is a Pencil (from Statement 2), and all Pencils are Pens (from Statement 3), then that item must also be a Pen. Therefore, there is at least one item that is an Ink and a Pen. This means Some Pens are Pencils is not directly derived from 2 & 3 in this way. Let's re-examine.
Let's use a more direct approach for the options:
We are given:
1. Some Pens are Inks (\(P \cap I \neq \emptyset\))
2. Some Inks are Pencils (\(I \cap C \neq \emptyset\))
3. All Pencils are Pens (\(C \subset P\))
Let's check option B: Some Pens are Pencils.
From Statement 3, we have "All Pencils are Pens". This is a universal affirmative statement. If all Pencils are Pens, it implies that there is at least one Pencil (assuming the category of Pencils is not empty, which is standard in such problems unless specified). If there is at least one Pencil, and all Pencils are Pens, then it must be true that some Pens are Pencils. This is a direct implication of the conversion of a universal affirmative proposition (All C are P) to a particular affirmative proposition (Some P are C).
In categorical logic, "All S are P" implies "Some S are P" and also implies "Some P are S" (by conversion, if S is not empty). Since "All Pencils are Pens" is given, it directly implies "Some Pens are Pencils".
Correct Option: B) Some Pens are Pencils
This is a direct implication of the statement "All Pencils are Pens". If all members of the set 'Pencils' are also members of the set 'Pens', then it necessarily follows that at least some members of the set 'Pens' are 'Pencils'. This is a standard conversion in categorical syllogisms from a universal affirmative (All C are P) to a particular affirmative (Some P are C), assuming the existence of C.
A) Some Inks are only Pencils
The statement "Some Inks are Pencils" means there's an overlap, but it doesn't imply that those Inks are only Pencils. They could also be other things. This statement cannot be concluded.
C) All Pencils are Inks
We are given "Some Inks are Pencils". This means a part of Inks are Pencils. It does not mean that all Pencils are Inks. There could be Pencils that are not Inks. This is not necessarily true.
D) All Pens are Pencils
We are given "All Pencils are Pens". This is the converse of "All Pens are Pencils". The converse of a universal affirmative statement is not necessarily true. For example, all dogs are animals, but not all animals are dogs. So, this statement cannot be concluded.
The question asks to identify the newspaper started by Mahatma Gandhi in South Africa. This is a factual recall question related to Indian history and the life of Mahatma Gandhi.
Correct Option: C) Indian Opinion
The question asks to identify the port that is NOT located on the Eastern Coast of India. This requires knowledge of the geographical location of major Indian ports.
B) Kandla is a major seaport located in the Kutch district of Gujarat, on the Gulf of Kutch, which is on the Western Coast of India (facing the Arabian Sea). Therefore, it is not on the Eastern Coast.
The question asks about the specific event for which Ram Prasad Bismil was hanged. This requires knowledge of key events and figures in the Indian independence movement, particularly those involving revolutionary activities.
Correct Option: B) Ram Prasad Bismil was a key figure in the Kakori train heist (also known as the Kakori Conspiracy), which took place on August 9, 1925. The objective was to loot government money being transported by train to fund revolutionary activities. He was subsequently arrested, tried, and hanged by the British colonial government for his role in this event.
The question asks to identify the Government of India scheme that provides LPG cylinders to Below Poverty Line (BPL) families. We need to recall the objectives of the given schemes.
D) Ujjwala: The Pradhan Mantri Ujjwala Yojana (PMUY) was launched in May 2016 to provide clean cooking fuel (LPG) to women belonging to Below Poverty Line (BPL) households. The scheme aims to empower women and protect their health by providing access to clean cooking fuel, thereby reducing the health hazards associated with traditional cooking fuels like firewood, coal, or dung cakes.
To solve this alphanumeric series, we need to identify the pattern in both the numerical and alphabetical components of each cluster. We will analyze the sequence of numbers and the sequence of letters separately.
Correct Option: C) 5Y
The question asks about the number of operational nuclear power plants in India as of October 2020. To answer this, we need to recall the status of India's nuclear power program around that period.
Correct Option: D) Seven
The question asks to identify which of the given options is NOT associated with the Indian Freedom Struggle. This requires knowledge of key events and policies during the British Raj in India and their relevance to the independence movement.
Correct Option: A) New Deal
The New Deal was a series of programs and reforms, including regulations on the banking and stock markets, relief for the unemployed and poor, and recovery of the economy, enacted in the United States between 1933 and 1939. It was initiated by President Franklin D. Roosevelt in response to the Great Depression. It has no direct association with the Indian Freedom Struggle.