The question asks to identify the place that is NOT associated with Jainism. To answer this, we need to recall the significant sites related to Jainism and Buddhism.
Correct Option: B) Kushinagar
Kushinagar is a significant pilgrimage site for Buddhists, as it is the place where Lord Buddha attained Mahaparinirvana (passed away). It is not directly related to Jainism.
The question asks to identify the structure formed by a closed chain of carbon atoms. This relates to the basic classification of organic compounds based on their carbon skeleton.
Correct Option: A) Ring structure — A ring structure is characterized by a closed loop of atoms, and when these atoms are carbon, it forms a closed chain of carbon atoms. Examples include cyclohexane or benzene.
The question asks about the geographical boundary of the Himalayas marked by the Brahmaputra River. To answer this, one needs to recall the major geographical features and their relative positions concerning the Himalayan mountain range.
B) Eastern-most. The Brahmaputra River, particularly its great bend around Namcha Barwa, defines the easternmost boundary of the Himalayan mountain range.
If \( \frac{y}{x} \)=\( \frac{5}{6} \), then \(\frac{x^{2}-y^{2}}{x^{2}+y^{2}}\)= ______
\( \frac{25}{36} \)
\( \frac{11}{61} \)
\( \frac{9}{61} \)
\( \frac{36}{25} \)
The problem provides a ratio of two variables, \(y/x\), and asks for the value of an expression involving \(x^2\) and \(y^2\). We can solve this by either substituting \(y\) in terms of \(x\) (or vice versa) into the expression, or by dividing the numerator and denominator of the expression by \(x^2\) to get terms involving \((y/x)^2\).
We are given the ratio:
\[ \frac{y}{x} = \frac{5}{6} \]We need to find the value of:
\[ \frac{x^{2}-y^{2}}{x^{2}+y^{2}} \]From the given ratio, we can write \(y\) in terms of \(x\):
\[ y = \frac{5}{6}x \]Now, substitute this into the expression:
\[ \frac{x^{2} - \left(\frac{5}{6}x\right)^{2}}{x^{2} + \left(\frac{5}{6}x\right)^{2}} = \frac{x^{2} - \frac{25}{36}x^{2}}{x^{2} + \frac{25}{36}x^{2}} \]Factor out \(x^2\) from the numerator and denominator:
\[ \frac{x^{2}\left(1 - \frac{25}{36}\right)}{x^{2}\left(1 + \frac{25}{36}\right)} = \frac{1 - \frac{25}{36}}{1 + \frac{25}{36}} \]Simplify the numerator and denominator:
\[ \frac{\frac{36 - 25}{36}}{\frac{36 + 25}{36}} = \frac{\frac{11}{36}}{\frac{61}{36}} = \frac{11}{36} \times \frac{36}{61} = \frac{11}{61} \]Divide both the numerator and the denominator of the expression by \(x^2\):
\[ \frac{\frac{x^{2}-y^{2}}{x^{2}}}{\frac{x^{2}+y^{2}}{x^{2}}} = \frac{\frac{x^{2}}{x^{2}} - \frac{y^{2}}{x^{2}}}{\frac{x^{2}}{x^{2}} + \frac{y^{2}}{x^{2}}} = \frac{1 - \left(\frac{y}{x}\right)^{2}}{1 + \left(\frac{y}{x}\right)^{2}} \]Substitute the given value of \(y/x = 5/6\):
\[ \frac{1 - \left(\frac{5}{6}\right)^{2}}{1 + \left(\frac{5}{6}\right)^{2}} = \frac{1 - \frac{25}{36}}{1 + \frac{25}{36}} \]Simplify the numerator and denominator:
\[ \frac{\frac{36 - 25}{36}}{\frac{36 + 25}{36}} = \frac{\frac{11}{36}}{\frac{61}{36}} = \frac{11}{61} \]Both methods yield the same result.
Correct Option: B) \( \frac{11}{61} \)
The question asks for the correct formula to calculate M3, which is a broad measure of money supply in an economy. Understanding the different measures of money supply (M1, M2, M3, M4) as defined by the Reserve Bank of India (RBI) is crucial here.
C) M3 = CU + DD + Net time deposits of commercial banks. This formula accurately represents M3, which is M1 (Currency with the Public + Demand Deposits) plus the net time deposits of commercial banks. The 'Other Deposits with RBI' (OD) are often small and sometimes omitted in simplified representations of M3, making this option the most appropriate among the choices.
To solve this direction and distance problem, we will trace Garima's path step-by-step, visualizing her movements on a coordinate plane or by drawing a diagram. We will then determine her final position relative to her starting point to find both the distance and the direction.
Therefore, Garima is 20 m from the starting point and in the North direction.
D) 20 m, North - This matches our calculated distance and direction. The net eastward and westward movements cancel out, leaving only the northward displacement.
The question asks for the specific year when the Reserve Bank of India (RBI) introduced a comprehensive regulatory framework for Non-Banking Finance Company–Micro Finance Institutions (NBFC-MFIs). This is a factual question related to financial regulations in India.
Correct Option: A) The Reserve Bank of India (RBI) introduced a comprehensive regulatory framework for Non-Banking Finance Company–Micro Finance Institutions (NBFC-MFIs) in 2011. This was a significant step taken in the aftermath of the Andhra Pradesh microfinance crisis of 2010 to regulate the sector, cap interest rates, and ensure responsible lending practices.
The question asks for the source (origin) of the Brahmani and Baitarani rivers. This requires knowledge of the geographical origins of major rivers in Eastern India.
Correct Option: D) Odisha
The problem requires us to apply specific letter transformation rules to the word "ABRUPT", then arrange the resulting letters alphabetically, and finally identify the fourth letter from the right in the arranged sequence.
Let's apply these rules to each letter:
The new set of letters formed is B, A, Q, V, O, S.
A, B, O, Q, S, V
Counting from the right:
The fourth letter from the right is O.
B) O is the fourth letter from the right after applying the transformations and arranging the letters alphabetically.
The question asks for the process by which plants release excess water. We need to identify the biological term that specifically describes this phenomenon.
Correct Option: C) Transpiration is the process by which plants release excess water in the form of water vapor from their aerial parts, primarily through stomata on the leaves. This process is crucial for water transport (transpirational pull) and temperature regulation in plants.