The question asks about the inspiration for the ideas of Liberty and Fraternity in the Indian Constitution. This requires knowledge of the historical influences on the Indian Constitution, particularly the sources of its Preamble's ideals.
Correct Option: A) France — The ideals of Liberty, Equality, and Fraternity are directly borrowed from the French Revolution and are enshrined in the Preamble of the Indian Constitution. While Equality is also mentioned, the question specifically asks about Liberty and Fraternity, which are key tenets of the French revolutionary thought.
The problem asks us to evaluate conclusions based on a given statement. We need to determine which conclusions logically follow from the statement. The statement suggests that the world's fairness or unfairness is subjective, dependent on an individual's perception or "state of mind."
Correct Option: C) Both 1 and 2 follow.
The problem asks us to identify which assumptions are implicit in the given statement. An implicit assumption is something that is taken for granted or presupposed when the statement is made. We need to analyze the statement and each assumption to see if the statement logically requires that assumption to be true.
A) Both I and II are implicit. As analyzed above, for X to state an intention to perform a 500-number sampling, it must be possible to do so (Assumption I), and X must be capable of doing it (Assumption II). Both are fundamental prerequisites for the statement to hold logical weight.
Which of the following statements is/are true about the speed of sound in different media at 25°C?
A. In steel, the speed of sound is 5960 m/s
B. In nickel, speed of sound is 6240 m/s
Only A is true
Both A and B are true
Neither A nor B is true
Only B is true
The question asks to identify the correct statement(s) regarding the speed of sound in steel and nickel at 25°C. This requires knowledge of the typical speeds of sound in various materials, which are empirical values.
Correct Option: A) Only A is true
To find the angle between the hour and minute hands, we need to calculate the position of each hand relative to the 12 o'clock mark. The minute hand moves 360 degrees in 60 minutes, and the hour hand moves 360 degrees in 12 hours. We will calculate the angle for each hand at 3:25 and then find the absolute difference between their positions.
Correct Option: C) 47.5°
The question asks to identify a specific fantasy novel published in 2017, featuring a princess named Gauri and her enemy Vikram, who must work together to reclaim her kingdom. This requires knowledge of contemporary fantasy literature, specifically Indian-inspired fantasy.
A) ‘A Crown of Wishes’ is a young adult fantasy novel by Roshani Chokshi, published in 2017. It is a companion novel to 'The Star-Touched Queen' but can be read as a standalone. The story indeed features Princess Gauri, who is forced to team up with her kingdom's sworn enemy, Vikram, to compete in a magical tournament to reclaim her throne. This perfectly matches the description provided in the question.
To solve this problem, we need to track Sandhya's final direction after her turns. Then, we determine the direction opposite to Vanita's initial direction. Finally, we calculate the rotation needed for Sandhya to face that opposite direction.
Let's re-evaluate step 6 and 7 carefully.
There seems to be an ambiguity or a mistake in my interpretation or the question/options. Let's re-check the calculation for 270° ACW from South.
Starting from South:
So, 270° ACW is indeed the correct rotation for Sandhya to face West (opposite to Vanita).
Correct Option: C) 270° ACW
A 270° ACW turn is equivalent to a 90° CW turn. From South, 90° CW is West. So, 270° ACW from South is West.
A 270° CW turn is equivalent to a 90° ACW turn. From South, 90° ACW is East. So, 270° CW from South is East.
My previous equivalence was incorrect. Let's correct it.
Re-evaluation of Step 6 and 7:
Now let's check which option matches 90° ACW:
Therefore, 270° ACW is the correct rotation.
The question asks us to evaluate the strength of two arguments regarding the banning of LED lamps. A strong argument should be factual, relevant, and provide a compelling reason for or against the statement. We need to analyze each argument independently.
Correct Option: C) Only argument II is strong.
Find the number of triangles in the given figure:
To find the number of triangles in the given figure, we need to identify and count all possible triangles, including those formed by combining smaller triangles.
By adding all these, we get a total of 9 triangles.
Correct Option: D) 9
The work done across two points having a potential difference of 20 V is 60 J. Then the electric charge flowing between the two points is:
The problem asks us to find the electric charge given the work done and the potential difference. We can use the fundamental relationship between work done, potential difference, and electric charge in an electric field.
Thus, the electric charge flowing between the two points is \(3 \text{ C}\).
Correct Option: B) 3 C