The question asks for the location of the Khangchendzonga Biosphere Reserve, which is recognized by UNESCO. This requires knowledge of the geographical distribution of India's biosphere reserves.
Correct Option: C) Sikkim
To find the next term in the series, we need to identify the pattern or the rule governing the sequence of numbers. We will analyze the differences between consecutive terms.
The differences between consecutive terms are 6, 7, and 8. This indicates that the difference is increasing by 1 each time.
Following this pattern, the next difference should be \(8 + 1 = 9\).
To find the next term in the series, add this predicted difference to the last given term:
\[ 96 + 9 = 105 \]Thus, the next term in the series is 105.
Correct Option: D) 105
The question asks to identify the item that does not belong to the group formed by the other three. This implies finding a common characteristic among three items and identifying the one that lacks this characteristic.
D) Sediment — Sediment is a collection of solid particles that have settled out of a liquid or gas. It is fundamentally a solid aggregate, unlike Mercury (a liquid metal), Paraffin (a substance that melts into a liquid), and Coconut oil (a substance that is liquid at room temperature or slightly above).
The question asks to identify the organization that does NOT belong to a given group. This implies that three of the options share a common characteristic, while one does not. We need to analyze each option to determine this commonality.
Therefore, the Reserve Bank of India does not belong to the group of educational institutions.
Correct Option: C) Reserve Bank of India, Mumbai is the central bank of India and a financial institution, whereas the other options are educational and research institutions.
The question asks about the location of India's first defence incubators. This is a factual question related to current affairs and government initiatives in the defence sector. To answer correctly, one needs to recall the specific city announced for this development.
Correct Option: A) Hyderabad is the correct answer because India's first defence incubators are slated to come up in Hyderabad, under the Innovations for Defence Excellence (iDEX) initiative of the Ministry of Defence.
This problem involves calculating the net work done by two pipes, one emptying and one filling, operating alternately. We will determine the individual rates of the pipes, then calculate the net change in the tank's volume over a two-hour cycle. Since the tank starts full, we need to be careful about the last few steps when the emptying pipe finishes the job.
The question asks to identify an olfactory indicator from the given options. An olfactory indicator is a substance whose smell changes depending on whether it is mixed with an acidic or basic solution. We need to evaluate each option based on this definition.
D) Vanilla can be used as an olfactory indicator because its smell changes in acidic and basic media.
The question asks whether children should be taught to wisely use the Internet. We need to evaluate the strength of two given arguments in supporting or refuting this idea. A strong argument directly addresses the core of the question and presents a valid, logical reason.
Correct Option: D) Only argument I is strong.
The problem asks us to identify the term that does not follow a specific pattern in the given series. We need to analyze the structure of each number to find a common rule or sequence.
This term can be broken down as follows:
So, \(1111\) can be represented as \(1 \cdot (1^2) \cdot (1^3) \cdot (1^4)\) by concatenating the digits.
This term can be broken down as follows:
Let's re-examine the pattern. It seems to be the base number followed by its powers. If the base is \(n\), the number is formed by concatenating \(n\), \(n^2\), \(n^3\), \(n^4\).
For \(n=2\):
If we concatenate these, we get \(24816\). However, the given term is \(2416256\). This suggests a different interpretation. Let's consider the powers of the base number itself, not just the single digits.
Let's try: base, then square of base, then square of square of base, then square of square of square of base.
For \(n=1\): \(1\), \(1^2=1\), \(1^4=1\), \(1^8=1\). Concatenating these gives \(1111\). This matches the first term.
For \(n=2\):
Concatenating these gives \(2416256\). This matches the second term.
Following the established pattern (base, \((\text{base})^2\), \((\text{base}^2)^2\), \((\text{base}^4)^2\)):
For \(n=3\):
Concatenating these should give \(39816561\). However, the given term is \(39816651\). The last part is \(6651\) instead of \(6561\). This term appears to be the wrong one.
Following the established pattern:
For \(n=4\):
Concatenating these gives \(41625665536\). This matches the fourth term.
Based on this analysis, the third term \(39816651\) does not follow the pattern because its last part should be \(6561\) (which is \(81^2\)) but it is given as \(6651\).
B) 39816651 — This term is incorrect because according to the pattern (base, \((\text{base})^2\), \((\text{base}^2)^2\), \((\text{base}^4)^2\)), for a base of 3, the sequence should be \(3\), \(9\), \(81\), \(6561\). Concatenating these gives \(39816561\), but the given term is \(39816651\).
The problem asks us to calculate the simple interest earned on a given principal amount at a specific annual interest rate over a certain period. We will use the formula for simple interest.
The formula for simple interest is:
\[ \text{SI} = \frac{\text{P} \times \text{R} \times \text{T}}{100} \]Substitute P = 1640, R = 7.5, and T = 6 into the formula:
\[ \text{SI} = \frac{1640 \times 7.5 \times 6}{100} \]First, calculate \(1640 \times 7.5 \times 6\):
\[ 1640 \times 7.5 = 12300 \]\[ 12300 \times 6 = 73800 \]So, the interest earned is Rs 738.
B) Rs 738 is the correct amount of simple interest earned.