The question asks about the duration of the pre-poll silence period during which political parties are prohibited from releasing their manifestos, according to India's Election Commission. This is a factual question related to electoral laws and regulations in India.
B) 48 h. The Election Commission of India mandates a 48-hour pre-poll silence period during which political parties are not allowed to release their manifestos or engage in any other form of campaigning.
This problem involves set theory concepts, specifically dealing with percentages of students failing in one or both subjects. We will use the principle of inclusion-exclusion to find the percentage of students who failed in at least one subject. Then, we will calculate the percentages of students who failed only in one subject. Finally, we will apply these percentages to the total number of students to find the absolute number.
Let A be the set of students who failed in the first subject and B be the set of students who failed in the second subject.
Calculate the percentage of students who failed in at least one subject using the principle of inclusion-exclusion:
\[ P(A \cup B) = P(A) + P(B) - P(A \cap B) \]\[ P(A \cup B) = 35\% + 42\% - 30\% \]\[ P(A \cup B) = 77\% - 30\% \]\[ P(A \cup B) = 47\% \]Calculate the percentage of students who failed only in the first subject:
\[ P(\text{only A}) = P(A) - P(A \cap B) \]\[ P(\text{only A}) = 35\% - 30\% \]\[ P(\text{only A}) = 5\% \]Calculate the percentage of students who failed only in the second subject:
\[ P(\text{only B}) = P(B) - P(A \cap B) \]\[ P(\text{only B}) = 42\% - 30\% \]\[ P(\text{only B}) = 12\% \]Students who passed only in one subject are those who failed only in the other subject. This means we are looking for the sum of students who failed only in subject A and students who failed only in subject B.
Percentage of students who passed only in one subject (i.e., failed only in the other subject):
\[ P(\text{passed only in one subject}) = P(\text{only A}) + P(\text{only B}) \]\[ P(\text{passed only in one subject}) = 5\% + 12\% \]\[ P(\text{passed only in one subject}) = 17\% \]Given the total number of students is 2500. Now, calculate the actual number of students who passed only in one subject:
\[ \text{Number of students} = 17\% \text{ of } 2500 \]\[ \text{Number of students} = \frac{17}{100} \times 2500 \]\[ \text{Number of students} = 17 \times 25 \]\[ \text{Number of students} = 425 \]Correct Option: B) 425
The problem asks us to decode a given word based on a pattern observed in a coded word pair. We need to identify the rule applied to transform "VUFOTJM" into "XWHQVLO" and then apply the same rule to "ENTGYH".
The pattern is consistent: each letter in the original word is shifted forward by 2 positions in the alphabet to get the corresponding letter in the coded word.
B) GPVIAJ is the correct answer, as derived from applying the +2 shift rule to each letter of "ENTGYH".
To find the smallest positive number that must be subtracted from 5970 to make it a perfect square, we need to find the largest perfect square less than 5970. We can achieve this by finding the square root of 5970 and then identifying the nearest integer whose square is less than 5970.
We know that \(70^2 = 4900\) and \(80^2 = 6400\). So, the square root of 5970 lies between 70 and 80.
Let's try numbers closer to 5970.
From the calculations above, \(77^2 = 5929\) is the largest perfect square less than 5970, and \(78^2 = 6084\) is greater than 5970.
The number to be subtracted is the difference between 5970 and the largest perfect square less than it.
\[ \text{Number to be subtracted} = 5970 - 5929 = 41 \]C) 41 — When 41 is subtracted from 5970, the result is \(5970 - 41 = 5929\), which is \(77^2\), a perfect square. This is the smallest positive number that needs to be subtracted to achieve a perfect square.
The question asks to identify which of the given countries was NOT a part of the former USSR. This requires knowledge of the constituent republics of the Soviet Union.
A) Finland was never a part of the USSR. It shares a long border with Russia and fought against the Soviet Union in the Winter War (1939-1940) and the Continuation War (1941-1944) during World War II. While it maintained a policy of neutrality and good relations with the USSR during the Cold War (known as "Finlandization"), it remained an independent sovereign nation.
The question asks for the specific term that describes the biological study of animal behaviour. To answer this, we need to recall the definitions of the given options and identify the one that precisely matches the description.
Correct Option: D) Ethology is the scientific and objective study of animal behaviour, often with a focus on behaviour under natural conditions, and viewing behaviour as an evolutionarily adaptive trait. This term accurately describes the biological study of animal behaviour.
The question asks to identify the first Indian woman to win the Booker Prize. This requires knowledge of prominent Indian authors and their literary achievements, specifically focusing on the Booker Prize.
Correct Option: D) Arundhati Roy was the first Indian woman to win the Booker Prize. She won it in 1997 for her debut novel, "The God of Small Things".
The question asks for the specific term used when public sector enterprises (PSEs) are privatized by selling a portion of their equity to the public. We need to identify the economic term that precisely describes this process.
C) disinvestment — Disinvestment is the process by which a government or an entity sells or liquidates an asset or subsidiary. When the government sells a part of its equity in Public Sector Enterprises (PSEs) to the public, it is essentially reducing its stake and ownership, which is the definition of disinvestment.
The question asks for the minimum age requirement to be a member of a Panchayat according to the Constitution of India. This is a direct factual question related to the provisions of the 73rd Constitutional Amendment Act.
Correct Option: D) 21 years is the minimum age requirement for being a member of a Panchayat, as stipulated by Article 243F of the Indian Constitution.