The question asks to identify the Indian state that hosted the 2023 Hornbill Music Festival. This requires knowledge of major cultural festivals in India and their associated states.
Correct Option: B) Nagaland is the state that hosts the annual Hornbill Festival, including the 2023 edition. It is a major cultural event in the state, showcasing the traditions and heritage of its various indigenous tribes.
This is a circular seating arrangement problem. We need to deduce the positions of all six people (A, B, C, D, E, F) around a circular table based on the given clues and then determine the position of C with respect to D.
Let's draw the circle and place them:
Assume B is at the top (12 o'clock position).
Let's list the positions clockwise:
1. B
2. E
3. A
4. F
5. C
6. D
Now, find the position of C with respect to D.
Let's re-check the interpretation of "left" and "right" in a circular arrangement. If everyone is facing the center, then "left" is anti-clockwise and "right" is clockwise.
Our arrangement (clockwise): B - E - A - F - C - D
Position of C with respect to D:
Since "Immediate left" is not an option, let's consider the options given. Sometimes, in competitive exams, "left" and "right" can be interpreted differently, or the question might be looking for a specific count. Let's count from D to C in the anti-clockwise direction. D -> C is 1st left. This is not an option.
Let's re-examine the options and the arrangement. There are 6 people. If we go from D to C, it's 1st left. If we go the other way around (clockwise from D), we pass B, E, A, F to reach C. That's 4 positions away. So, C is 4th to the right of D.
Let's check the options again: A) Immediate right, B) Second to the left, C) Second to the right, D) Third to the left.
There might be a misunderstanding of the problem or the options. Let's re-draw and re-verify the arrangement.
Let's assume positions 1 to 6 clockwise.
1. B
2. A sits second to the left of B. If B is at 1, 1st left is 6, 2nd left is 5. So A is at 5.
Arrangement: B (1), _, _, _, A (5), _ (6)
3. E sits to an immediate left of A. If A is at 5, immediate left is 4. So E is at 4.
Arrangement: B (1), _, _, E (4), A (5), _ (6)
4. C sits to the immediate right of F. The remaining spots are 2, 3, 6. F and C must be adjacent. This means F and C cannot be placed in 2 and 3, because 6 is also empty. The only adjacent empty spots are 2 and 3, or 6 and 1 (but 1 is B). So F and C must be at 2 and 3. If C is to the immediate right of F, then F is at 2 and C is at 3.
Arrangement: B (1), F (2), C (3), E (4), A (5), _ (6)
5. The last person is D, so D is at 6.
Final arrangement (clockwise): B, F, C, E, A, D
Now, let's find the position of C with respect to D:
So, C is third to the left of D.
This matches option D.
D) Third to the left
Based on the final arrangement (clockwise: B, F, C, E, A, D), if we start from D and move in the anti-clockwise direction (left), the first person is A, the second is E, and the third is C. Therefore, C is third to the left of D.
The radius of the base and the height of a closed cylinder are in the ratio 1 : 3. Using π = \( \frac{22}{7} \), find its total surface area if its curved surface area is 924 m².
To find the total surface area of the cylinder, we first need to determine its radius and height. We are given the ratio of the radius to the height and the curved surface area. Using the formula for the curved surface area, we can find the actual values of the radius and height, and then calculate the total surface area.
Define variables and ratio:
Let the radius of the base of the cylinder be \(r\) and the height be \(h\).
Given ratio \(r : h = 1 : 3\). So, we can write \(r = x\) and \(h = 3x\) for some constant \(x\).
Use the given curved surface area:
The curved surface area (CSA) of a cylinder is given by the formula \(2 \pi r h\).
We are given CSA \( = 924 \text{ m}^2\).
Substitute the expressions for \(r\) and \(h\) in terms of \(x\):
Solve for \(x\):
Substitute \( \pi = \frac{22}{7} \):
Calculate radius and height:
Now that we have \(x\), we can find \(r\) and \(h\):
\(r = x = 7 \text{ m}\)
\(h = 3x = 3 \times 7 = 21 \text{ m}\)
Calculate the total surface area:
The total surface area (TSA) of a closed cylinder is given by the formula \(2 \pi r (r + h)\).
Alternatively, TSA = CSA + \(2 \times\) Area of base. Since CSA is given, we can use this.
Area of base \( = \pi r^2 \).
Area of base \[= \frac{22}{7} \times (7)^2 = \frac{22}{7} \times 49 = 22 \times 7 = 154 \text{ m}^2\].
TSA \( = \text{CSA} + 2 \times (\text{Area of base}) \)
TSA \( = 924 + 2 \times 154 \)
TSA \( = 924 + 308 \)
TSA \( = 1232 \text{ m}^2 \)
D) 1232 m² is the calculated total surface area of the cylinder.
The problem asks us to identify the letter-cluster that does not follow the same pattern as the others, based on the English alphabetical order. We need to find a common rule or relationship between the letters in three of the clusters and then identify the one that deviates from this rule.
Let's re-evaluate the pattern more consistently. Let the letters be \(L_1, L_2, L_3\). We are looking for a pattern in the differences between their positions.
From the analysis of Options B, C, and D, a consistent pattern emerges: the difference between the numerical position of the first and second letter is 5 (first letter is 5 positions ahead of the second), and the difference between the second and third letter is 2 (third letter is 2 positions ahead of the second). Let's verify this pattern.
Now let's check Option A with this pattern:
This pattern (\(4, 1\)) is different from the pattern (\(5, 2\)) observed in options B, C, and D.
A) OKL is the odd one out. In OKL, the differences in alphabetical positions are \(15-11=4\) and \(12-11=1\). For the other three options (UPR, DYA, LGI), the pattern of differences in alphabetical positions is consistently \(5\) and \(2\).
The problem describes an eye defect where a person can see distant objects clearly but struggles with near objects. This condition is known as hyperopia or far-sightedness. We need to identify the type of lens used to correct this specific vision problem.
C) a convex lens of suitable power. A convex lens is a converging lens that helps to focus light rays from nearby objects onto the retina, correcting hyperopia.
The question asks about the composition of stainless steel. Stainless steel is an alloy of iron with specific metals added to enhance its properties, particularly corrosion resistance. Identifying these key alloying elements is crucial.
D) nickel and chromium are the primary metals mixed with iron to produce stainless steel. Chromium provides corrosion resistance by forming a passive oxide layer, while nickel improves ductility, strength, and further enhances corrosion resistance, especially in acidic environments.
Solid CO2 gets converted directly into the gaseous state upon decreasing the pressure to _______.
2 atmosphere, without coming to the liquid state
1 atmosphere, without coming to the liquid state
3 atmosphere, without coming to the liquid state
4 atmosphere, without coming to the liquid state
The question asks about the conditions under which solid carbon dioxide (dry ice) directly converts into a gaseous state, bypassing the liquid state. This phenomenon is known as sublimation and is characteristic of substances at specific pressure and temperature conditions, often visualized using a phase diagram.
B) 1 atmosphere, without coming to the liquid state. At standard atmospheric pressure (\(1 \text{ atm}\)), which is below the triple point pressure of CO\(_2\) (\(5.11 \text{ atm}\)), solid CO\(_2\) undergoes sublimation, meaning it converts directly into a gaseous state without forming a liquid.
The problem describes a coding pattern based on the English alphabetical order. We need to identify the relationship between the given pairs of letter sequences (JHFDA to OMKIF and NLJHE to SQOMJ) and then apply the same logic to find the sequence related to KIGEB.
B) PNLJG is the correct option as it follows the established pattern of a +5 shift for each letter.
In a row of people, Marshall is sitting 13th from the left end and 36th from the right end. What is the total number of persons in the row?
To find the total number of persons in a row when the position of one person from both ends is known, we use a specific formula. The key is to understand that the person whose position is given from both ends is counted twice if we simply add the two positions. Therefore, we must subtract 1 from the sum to get the accurate total count.
Thus, there are 48 persons in the row.
C) 48 is the correct answer. By adding Marshall's position from the left (13) and from the right (36) and then subtracting 1 (because Marshall is counted twice), we get \(13 + 36 - 1 = 48\).
The question asks about the location of the centre of curvature for a concave mirror. To answer this, we need to recall the definition and properties of a concave mirror and its associated optical points.
Correct Option: D) In front of the mirror