The question asks for the full form of 'SLR' in the context of economics. This is a common term used in banking and monetary policy, particularly in India. Understanding the full form and its meaning is crucial for competitive exams.
The Statutory Liquidity Ratio (SLR) is a minimum percentage of deposits that commercial banks have to maintain in the form of liquid assets such as cash, gold, or unencumbered approved securities. It is a monetary policy tool used by the central bank to control liquidity in the economy.
B) Statutory Liquidity Ratio — This is the correct full form of SLR in the context of economics and banking regulations. It refers to the portion of a bank's net demand and time liabilities that it must maintain in liquid assets.
The question asks for the common name of the United Nations Conference on Environment and Development (UNCED) held in Brazil in 1992. This requires knowledge of major international environmental conferences.
The United Nations Conference on Environment and Development (UNCED), held in Rio de Janeiro, Brazil, from June 3 to June 14, 1992, is famously known as the Earth Summit. It was a landmark event that brought together world leaders to address pressing environmental issues and sustainable development goals.
Correct Option: C) Earth Summit
To solve this problem, we first need to write down the English alphabet in reverse order. Then, we identify the 13th and 25th letters from this reverse sequence. Finally, we find the letter that lies exactly in the middle of these two identified letters.
A) H is the letter that comes in the middle of N (13th letter in reverse) and B (25th letter in reverse).
The question asks about the primary energy source that sugarcane plants convert into chemical energy. This relates to the fundamental process of photosynthesis in plants.
Correct Option: C) Sugarcane plants are one of the most efficient convertors of sunlight into chemical energy. This process is called photosynthesis, where light energy is captured by chlorophyll and used to convert carbon dioxide and water into glucose (chemical energy) and oxygen.
The question asks about the specific electron shell that atoms aim to complete when forming covalent bonds. This relates to the octet rule and the stability of atoms.
Therefore, the sharing of electrons in covalent bonds is aimed at filling the outermost shell of both atoms.
Correct Option: D) outermost
The question asks for the establishment year of the International Atomic Energy Agency (IAEA). This is a factual question requiring knowledge of international organizations and their founding dates.
Correct Option: B) 1957 is the correct year when the IAEA was established and its Statute entered into force.
The problem asks us to identify the number that is different from the rest, implying that three of the four numbers share a common property. We need to examine the properties of each number, such as divisibility, perfect squares/cubes, or sum of digits, to find the pattern.
B) 72900 — When divided by 100, the number 72900 yields 729, which is a perfect square (\(27^2\)) and a perfect cube (\(9^3\)). The other options, when divided by 100, do not result in a perfect square or a perfect cube.
The question asks for the city near which the Sanchi Stupa is located. This requires knowledge of the geographical location of prominent historical sites in India.
Correct Option: B) Bhopal is the major city located near the Sanchi Stupa. It is approximately 46 km away.
The question asks to identify the winner of the Women's Singles title at the 2020 Australian Open Tennis Tournament. This requires knowledge of major tennis tournament results for that specific year.
In the 2020 Australian Open Women's Singles final, Sofia Kenin defeated Garbiñe Muguruza to win her first Grand Slam title.
A) Sofia Kenin — Sofia Kenin won the Women's Singles title at the 2020 Australian Open, defeating Garbiñe Muguruza in three sets.
If 16 cot A = 12, then find the value of \(\frac{\sin A+\cos A}{\sin A-\cos A}\).
The problem provides a relationship involving \(\cot A\) and asks for the value of an expression involving \(\sin A\) and \(\cos A\). The most straightforward approach is to first determine the value of \(\cot A\), then use trigonometric identities to express the given expression in terms of \(\cot A\).
Find the value of \(\cot A\):
Given the equation \(16 \cot A = 12\).
Divide both sides by 16:
Simplify the expression \(\frac{\sin A+\cos A}{\sin A-\cos A}\):
To use the value of \(\cot A\), we can divide the numerator and the denominator of the expression by \(\sin A\). This is valid as long as \(\sin A \neq 0\).
Substitute the identity \(\frac{\cos A}{\sin A} = \cot A\):
\[ \frac{1+\cot A}{1-\cot A} \]Substitute the value of \(\cot A\):
Now, substitute \(\cot A = \frac{3}{4}\) into the simplified expression:
Perform the arithmetic operations:
Calculate the numerator:
Calculate the denominator:
\[ 1-\frac{3}{4} = \frac{4}{4}-\frac{3}{4} = \frac{4-3}{4} = \frac{1}{4} \]Divide the numerator by the denominator:
\[ \frac{\frac{7}{4}}{\frac{1}{4}} = \frac{7}{4} \times \frac{4}{1} = 7 \]Thus, the value of the expression is 7.
A) 7 is the correct answer, as derived from the step-by-step calculation.