The question asks what it implies for the Union Council of Ministers to be the 'Chief Executive Organ' in India. This refers to the principle of ministerial responsibility and the structure of the executive branch in a parliamentary democracy like India.
C) Each minister is the political head of his/her ministry — This is correct. As the Chief Executive Organ, the Council of Ministers collectively and individually exercises executive power. Individually, each minister is assigned a portfolio and becomes the political head of that ministry, responsible for its policies, decisions, and overall functioning. This is a fundamental principle of parliamentary governance.
This problem involves work and time. We need to find the individual work rate of B and then calculate the time B takes to complete two-thirds of the work. The key is to use the concept that if a person completes a work in 'n' days, their one-day work is \(1/n\) of the total work.
A and B together complete the work in 15 days.
\[ (\text{A} + \text{B})\text{'s 1-day work} = \frac{1}{15} \]A alone can do the work in 17 days.
\[ \text{A's 1-day work} = \frac{1}{17} \]To find B's one-day work, subtract A's one-day work from the combined one-day work of A and B.
\[ \text{B's 1-day work} = (\text{A} + \text{B})\text{'s 1-day work} - \text{A's 1-day work} \]\[ \text{B's 1-day work} = \frac{1}{15} - \frac{1}{17} \]\[ \text{B's 1-day work} = \frac{17 - 15}{15 \times 17} = \frac{2}{255} \]If B's one-day work is \(\frac{2}{255}\), then B alone can complete the whole work in \(\frac{255}{2}\) days.
We need to find the time B takes to complete \(\frac{2}{3}\) of the work.
\[ \text{Time for B to do } \frac{2}{3} \text{ work} = \frac{2}{3} \times (\text{Time for B to do whole work}) \]\[ \text{Time for B to do } \frac{2}{3} \text{ work} = \frac{2}{3} \times \frac{255}{2} \]\[ \text{Time for B to do } \frac{2}{3} \text{ work} = \frac{255}{3} \]\[ \text{Time for B to do } \frac{2}{3} \text{ work} = 85 \text{ days} \]A) 85 days is the correct answer. This is the time B takes to complete two-thirds of the work.
To find the percentage of marks scored by Sudha, we first need to determine the maximum marks of the examination. We can do this using the information provided for Kalpana: her marks and her percentage score. Once the maximum marks are known, Sudha's percentage can be calculated by dividing her marks by the maximum marks and multiplying by 100.
Let the maximum marks be \(M\). We know that Kalpana's marks are 69% of the maximum marks.
\[ 69\% \text{ of } M = 621 \] \[ \frac{69}{100} \times M = 621 \]To find \(M\), we rearrange the equation:
\[ M = \frac{621 \times 100}{69} \] \[ M = \frac{62100}{69} \]Dividing 62100 by 69:
\[ M = 900 \]So, the maximum marks for the examination are 900.
Sudha's percentage is her marks divided by the maximum marks, multiplied by 100.
\[ \text{Sudha's Percentage} = \frac{\text{Sudha's Marks}}{\text{Maximum Marks}} \times 100 \] \[ \text{Sudha's Percentage} = \frac{522}{900} \times 100 \] \[ \text{Sudha's Percentage} = \frac{522}{9} \] \[ \text{Sudha's Percentage} = 58\% \]Therefore, Sudha scored 58% marks.
A) 58% is the correct percentage of marks scored by Sudha.
The question asks for the headquarters of the National Turmeric Board, which was established in 2025. This is a factual question testing knowledge about recent government initiatives and their geographical locations. The key is to identify the correct headquarters based on the establishment of the board.
Correct Option: D) Nizamabad. The National Turmeric Board, approved in October 2023 and to be established in 2025, has its headquarters in Nizamabad, Telangana. Nizamabad is a prominent turmeric-producing region in India.
The question asks which body took suo motu cognizance of a news report regarding a large number of dead turtles washing ashore. This involves identifying the appropriate judicial or quasi-judicial body responsible for environmental protection and capable of taking suo motu action based on media reports.
B) National Green Tribunal — The National Green Tribunal (NGT) was established under the National Green Tribunal Act, 2010, for effective and expeditious disposal of cases relating to environmental protection and conservation of forests and other natural resources. It has the power to take suo motu cognizance of environmental matters, including those highlighted in media reports, which aligns perfectly with the situation described in the question.
To determine if a number is divisible by 81, we can use the divisibility rule for 81. A number is divisible by 81 if and only if it is divisible by both 9 and 9. This implies that the sum of its digits must be divisible by 9, and if we divide the number by 9, the resulting quotient's sum of digits must also be divisible by 9. A simpler and more direct approach is to check if the sum of the digits of the number is divisible by 9, and then check if the sum of the digits of the sum of the digits is also divisible by 9. Or, more practically, a number is divisible by 81 if the sum of its digits is divisible by 9, and if the number obtained by taking the sum of its digits, then summing its digits again, and so on, eventually leads to 9. Effectively, the sum of the digits must be a multiple of 9, and the number itself must be divisible by 9. Since \(81 = 9 \times 9\), a number must be divisible by 9 twice. This means the sum of its digits must be a multiple of 9, and if we divide the number by 9, the quotient must also be divisible by 9.
A more straightforward rule for divisibility by 81 is that the sum of the digits of the number must be divisible by 9, and the number itself must be divisible by 9. If a number is divisible by 81, it must also be divisible by 9. So, we can first check the divisibility by 9 (sum of digits is a multiple of 9) for each option. Then, for the options that satisfy this, we can perform division by 81 or check if the sum of digits is a multiple of 81 (which is incorrect) or if the sum of digits is a multiple of 9 and the quotient when divided by 9 is also divisible by 9.
The most practical method is to check if the sum of the digits is a multiple of 9. If it is, then the number is divisible by 9. Then, we can either divide the number by 81 directly or divide by 9 and check if the quotient is also divisible by 9.
Correct Option: A) 5265
The question asks to identify the correct statement regarding the Supreme Court's writ jurisdiction. We need to analyze each option based on the constitutional provisions related to the Supreme Court's power to issue writs.
Correct Option: A) It can only be invoked for enforcement of Fundamental Rights.
The question asks about the role of 'Dikus' in early tribal revolts in India. To answer this, one needs to understand the historical context of tribal uprisings during the British colonial period and the term 'Dikus' as used by tribal communities.
A) They were outsiders like landlords, moneylenders and officials exploiting tribal community. This option accurately defines 'Dikus' as the external exploiters (landlords, moneylenders, officials) who encroached upon tribal lands and resources, leading to widespread discontent and subsequent revolts. This aligns perfectly with historical accounts of tribal uprisings such as the Santhal Rebellion and the Munda Rebellion, where the 'Dikus' were a primary target of tribal anger.
The problem presents a numerical series, and we need to find the next term. We will analyze the differences between consecutive terms to identify a pattern. Once the pattern is found, we will apply it to determine the missing number.
The differences are \(5, 7, 9, 11\). This is an arithmetic progression where each term increases by 2. These are consecutive odd numbers starting from 5.
Following the pattern, the next difference should be \(11 + 2 = 13\).
Add the predicted difference to the last given term:
\[ 40 + 13 = 53 \]Thus, the number that should come in place of the question mark is 53.
C) 53 — This is the correct number derived from the identified pattern of increasing odd number differences.
The problem asks us to identify symbols that are immediately preceded by a number and immediately followed by another number in the given series. We need to scan the series from left to right and apply this condition to each symbol.
C) More than three. As identified, there are 5 such symbols: '&', '*', '≺', '≡', and '∆'.