The problem presents a series of letter-number clusters. To find the next cluster in the series, we need to identify the pattern in the letters and the numbers separately.
C) MS55 is the correct option because it follows the established patterns for both the letters and the numbers in the series.
The question asks about the extent of India's Exclusive Economic Zone (EEZ) as defined by the United Nations Convention on the Law of the Sea (UNCLOS). To answer this, one needs to recall the specific provisions of UNCLOS regarding maritime zones.
Correct Option: D) 200 nautical miles
This problem involves trigonometry, specifically the concept of the angle of elevation. We can model the situation as a right-angled triangle where the height of the tree is one leg, the distance from the base of the tree to the observer is the other leg, and the angle of elevation is the angle between the ground and the line of sight to the top of the tree. We will use the tangent function to relate these quantities.
In a right-angled triangle, the tangent of an angle is defined as the ratio of the length of the opposite side to the length of the adjacent side.
\[ \tan(\theta) = \frac{\text{Opposite}}{\text{Adjacent}} \]Let \(h\) be the height of the tree.
\[ \tan(45^\circ) = \frac{h}{15 \text{ m}} \]We know that \(\tan(45^\circ) = 1\).
C) 15 m — The height of the tree is found to be 15 m using the tangent function and the given angle of elevation and distance.
The question asks to identify the individual appointed as the Private Secretary to Prime Minister Narendra Modi in March 2025. This is a factual question related to current affairs and government appointments. To answer this, one needs to recall or know the recent key appointments in the Prime Minister's Office.
D) Nidhi Tewari
Nidhi Tewari, an Indian Administrative Service (IAS) officer of the 2014 batch, was indeed appointed as the Private Secretary to Prime Minister Narendra Modi in March 2025. This was a significant appointment in the Prime Minister's Office.
The question asks about the function of the Format Painter tool in MS Word. This tool is a common feature in many Microsoft Office applications and is used for a specific formatting task. Understanding its primary purpose will help identify the correct option.
D) It copies formatting (e.g., font, color) from one piece of text to another. This accurately describes the primary function of the Format Painter tool. It is designed to replicate the exact formatting of selected text and apply it to other text selections, saving time and ensuring consistency.
The problem involves compound interest. We are given the total amount distributed, the interest rate, and the time periods for which Arjun and Kartik invested their shares. The key information is that they both received the same final amount. We need to find the initial amount given to Kartik.
Correct Option: B) ₹580
The question asks about the primary contributor to the negative charge of a DNA molecule, specifically focusing on the phosphodiester bond. We need to identify which component within this bond or the nucleotide structure carries a significant negative charge.
A) The phosphate group's ionisable oxygen atoms. As explained above, the phosphate group in the DNA backbone contains two oxygen atoms that are deprotonated and carry a negative charge at physiological pH. These charges accumulate along the entire DNA molecule, making it highly negatively charged.
The question asks about the correctness of two statements regarding a Supreme Court interim order in the Ranveer Allahbadia case. To answer this, we need to recall the details of the Supreme Court's ruling and observations in that specific case.
D) Only 1
Statement 1 is correct because the Supreme Court did grant interim protection to Ranveer Allahbadia while simultaneously criticizing his remarks as obscene and vulgar. Statement 2 is incorrect as the court did not rule that he was free to travel abroad without restrictions, nor was the 'paywall' argument the basis for any such permission.
To find the median of the data set, we will use the empirical relationship between mean, median, and mode for a moderately skewed distribution. The empirical formula states that:
\[ \text{Mode} \approx 3 \times \text{Median} - 2 \times \text{Mean} \]We are given the mean and the mode, and we need to rearrange this formula to solve for the median.
B) 52.1
The problem presents an analogy between letter-clusters. We need to find the pattern or relationship between the first pair of letter-clusters and apply the same logic to the second pair to find the missing clusters.
A) # = OLH, % = PMI