The question asks to identify the specific Act that transferred the governance of India from the East India Company directly to the British Crown. This is a direct historical question related to major constitutional developments in British India.
Correct Option: B) Government of India Act, 1858. This Act was passed by the British Parliament in the wake of the Sepoy Mutiny (Revolt of 1857). It abolished the East India Company and transferred the powers of governance, territories, and revenues of India directly to the British Crown. It also established the office of the Secretary of State for India.
The problem involves finding three numbers based on their average and given relationships between them. We can set up algebraic equations using the given information and solve for the numbers.
D) 264 is the first number.
In this question, a group of numbers/symbols are coded using letter codes as per the codes given below and the conditions that follow. The correct combination of codes (following only the condition/s that apply) is your answer.
Note: If none of the conditions apply, then codes for the respective number/symbol are to be followed directly as given in the table.
| Number/symbol | 4 | # | $ | 7 | 9 | 2 | 6 | @ | 3 | & | 5 | + | % | 8 |
| Code | B | W | Q | C | A | T | J | N | P | D | G | E | Y | S |
Conditions:
(i) If the first element is a number and the last element is a symbol, then the codes for the first and last element are interchanged.
(ii) If the first element is divisible by 2 and the last element is divisible by 3, then the first and last elements are to be coded *.
(iii) If the first element is a symbol and the last element is an even number, then their codes (i.e. first and last element) are to be changed to the code for 3.
What is the code for the following?
@&238
The problem requires us to decode a given sequence of symbols and numbers based on a provided coding table and a set of conditions. We need to identify which condition, if any, applies to the given sequence and then apply the corresponding coding rules to find the correct code.
C) PDTPP is the correct code derived from applying condition (iii) and direct coding for the middle elements.
The problem asks us to identify the highest and lowest numbers from a given set of three-digit numbers, then extract specific digits from them, and finally perform an addition operation. We need to follow the instructions carefully to find the correct resultant value.
C) 1 is the correct answer because the second digit of the highest number (503) is 0, and the first digit of the lowest number (144) is 1. Adding these two digits gives \(0 + 1 = 1\).
To form a triangle, we need to select 3 distinct vertices from the given polygon. Since the order in which we select the vertices does not matter (selecting vertex A, then B, then C results in the same triangle as selecting B, then A, then C), this is a problem of combinations. We need to find the number of ways to choose 3 vertices out of 10.
Therefore, 120 triangles can be drawn using the vertices of a 10-sided polygon.
Correct Option: C) 120
The question asks about the subject explored in Benjamin Nathans' book 'To the Success of Our Hopeless Cause', which won the Pulitzer Prize for General Nonfiction. This requires knowledge of the book's content and its recognition.
D) Soviet dissident movement — Benjamin Nathans' book 'To the Success of Our Hopeless Cause' is a comprehensive study of the Soviet dissident movement, particularly focusing on the human rights activists who challenged the Soviet state. It won the Pulitzer Prize for General Nonfiction in 2018 for its profound historical analysis and compelling narrative on this subject.
The question asks to identify the Article of the Indian Constitution that deals with the appointment of the Advocate General for the State. To answer this, one needs to have knowledge of the specific articles related to the state executive and legal officers.
The Advocate General is the highest law officer in the state. He is appointed by the Governor. The Constitution of India provides for this office under a specific article.
Article 165 of the Indian Constitution explicitly states the provisions regarding the Advocate General for the State. It covers his appointment, duties, and term of office.
D) Article 165 — This Article specifically deals with the Advocate General for the State. It states that the Governor of each State shall appoint a person who is qualified to be appointed a Judge of a High Court to be the Advocate General for the State.
The problem presents a numerical analogy where a larger number is related to a smaller number by a specific mathematical operation. We need to identify this operation by analyzing the given pairs and then apply the same logic to find the missing number.
We need to find a mathematical operation that transforms 72 into 9. Let's consider common operations:
It appears that dividing 72 by 8 gives 9, or multiplying 9 by 8 gives 72. So, the relationship could be that the first number is 8 times the second number, or the second number is the first number divided by 8.
Let's test the identified logic from the first pair:
The logic holds true for the second pair. The rule is: the first number is 8 times the second number, or the second number is the first number divided by 8.
Following the established rule, to find the number related to 64, we need to divide 64 by 8.
\[ 64 \div 8 = 8 \]B) 8 — The established logic is that the first number is 8 times the second number. Therefore, to find the number related to 64, we divide 64 by 8, which gives 8.
This problem involves the concept of boats and streams. We are given the speed of the boat in the direction of the stream (downstream) and against the direction of the stream (upstream). We need to find the speed of the current. We can use the standard formulas relating downstream speed, upstream speed, speed of the boat in still water, and speed of the current.
A) 14 km/hr is the speed of the current, as calculated from the given downstream and upstream speeds.
This problem involves the formulas for the curved surface area (CSA) and total surface area (TSA) of a cylinder. We are given a relationship between CSA and TSA, and the height of the cylinder. We need to use these to find the radius.
Recall the formulas for the curved surface area (CSA) and total surface area (TSA) of a cylinder:
where \(r\) is the radius and \(h\) is the height of the cylinder.
According to the problem statement, the curved surface area is half of its total surface area. So, we can write the equation:
\[ \text{CSA} = \frac{1}{2} \times \text{TSA} \]Substitute the formulas for CSA and TSA into the equation:
\[ 2 \pi r h = \frac{1}{2} (2 \pi r h + 2 \pi r^2) \]Simplify the equation:
\[ 2 \pi r h = \pi r h + \pi r^2 \]Subtract \( \pi r h \) from both sides of the equation:
\[ 2 \pi r h - \pi r h = \pi r^2 \] \[ \pi r h = \pi r^2 \]Divide both sides by \( \pi r \) (since \(r\) cannot be zero for a cylinder):
\[ h = r \]We are given that the height \(h = 53 \text{ cm}\). Since \(h = r\), the radius \(r\) is also 53 cm.
\[ r = 53 \text{ cm} \]Correct Option: A) 53