The question asks to identify a large marble building in Kolkata, built by the British, whose design is reminiscent of the Taj Mahal. This requires knowledge of prominent historical buildings in Kolkata and their architectural styles and origins.
The Victoria Memorial is a grand marble building in Kolkata, built between 1906 and 1921. It was constructed in memory of Queen Victoria and its architectural style, designed by William Emerson, is Indo-Saracenic, which blends British and Mughal elements. This blend, particularly the use of white marble and domes, gives it a visual resemblance to the Taj Mahal.
A) Victoria Memorial — This is a large marble building in Kolkata, constructed by the British, and its Indo-Saracenic architecture, with its white marble and domes, is often compared to the Taj Mahal.
The question asks to identify the first Secretary-General of the United Nations. This requires knowledge of the history of the UN and its leadership.
Correct Option: B) Trygve Lie was the first Secretary-General of the United Nations, serving from 1946 to 1952.
The question asks to identify the dynasty that had the Mysuru Palace in Karnataka as its official residence. This requires knowledge of Indian history, specifically the dynasties associated with the region of Mysuru (Mysore).
B) Wadiyar: The Wadiyar dynasty (also spelled Wodeyar) ruled the Kingdom of Mysuru from 1399 to 1950, with a brief interruption. The Mysuru Palace served as their official residence and administrative seat throughout their rule. The current palace was completed in 1912 and is a prime example of Indo-Saracenic architecture.
If '+' means 'subtraction', '÷' means 'addition', '−' means 'multiplication' and '×' means 'division', then what is the value of (8 + 2 − 19) − (4 + 27 × 3)?
This problem requires us to substitute the given new meanings for mathematical operators into the expression and then evaluate it following the order of operations (BODMAS/PEMDAS).
The original expression is \((8 + 2 − 19) − (4 + 27 × 3)\).
Replacing the operators:
So, the expression becomes:
\[ (8 - 2 \times 19) \times (4 - 27 \div 3) \]Following BODMAS, multiplication is done before subtraction.
\[ 8 - (2 \times 19) \]\[ 8 - 38 \]\[ -30 \]Following BODMAS, division is done before subtraction.
\[ 4 - (27 \div 3) \]\[ 4 - 9 \]\[ -5 \]Now, substitute the results back into the modified expression:
\[ (-30) \times (-5) \]\[ 150 \]Correct Option: B) 150
The question asks to identify which of the given options is NOT an operating system. We need to understand what an operating system is and then evaluate each option.
Correct Option: A) Java is a programming language, not an operating system. It runs on top of an operating system.
The question asks to identify which of the given options is NOT an environmental concern. We need to evaluate each option to determine if it represents a problem or a positive/neutral condition for the environment.
Based on this analysis, 'Raising ozone layer' is the only option that is not an environmental concern; in fact, it would be a positive environmental development.
Correct Option: B) Raising ozone layer
If tan A =\( \frac{3}{4} \), then the value of \(\frac{\cos A-\sin A}{\cos A+\sin A}\)is:
\( \frac{1}{4} \)
\( \frac{1}{8} \)
\( \frac{1}{7} \)
\( \frac{1}{3} \)
The problem provides the value of \(\tan A\) and asks for the value of an expression involving \(\sin A\) and \(\cos A\). We can solve this by either finding the values of \(\sin A\) and \(\cos A\) individually using a right-angled triangle, or by manipulating the given expression to involve \(\tan A\).
Given \(\tan A = \frac{3}{4}\). In a right-angled triangle, \(\tan A = \frac{\text{Opposite}}{\text{Adjacent}}\).
So, we can consider the opposite side as 3 units and the adjacent side as 4 units. Using the Pythagorean theorem, the hypotenuse will be:
\[ \text{Hypotenuse} = \sqrt{(\text{Opposite})^2 + (\text{Adjacent})^2} = \sqrt{3^2 + 4^2} = \sqrt{9 + 16} = \sqrt{25} = 5 \]Now, we can find \(\sin A\) and \(\cos A\):
\[ \sin A = \frac{\text{Opposite}}{\text{Hypotenuse}} = \frac{3}{5} \] \[ \cos A = \frac{\text{Adjacent}}{\text{Hypotenuse}} = \frac{4}{5} \]Substitute these values into the given expression:
\[ \frac{\cos A - \sin A}{\cos A + \sin A} = \frac{\frac{4}{5} - \frac{3}{5}}{\frac{4}{5} + \frac{3}{5}} = \frac{\frac{4-3}{5}}{\frac{4+3}{5}} = \frac{\frac{1}{5}}{\frac{7}{5}} = \frac{1}{5} \times \frac{5}{7} = \frac{1}{7} \]We are given the expression \(\frac{\cos A - \sin A}{\cos A + \sin A}\). We can divide both the numerator and the denominator by \(\cos A\) to introduce \(\tan A\).
\[ \frac{\frac{\cos A}{\cos A} - \frac{\sin A}{\cos A}}{\frac{\cos A}{\cos A} + \frac{\sin A}{\cos A}} = \frac{1 - \tan A}{1 + \tan A} \]Now, substitute the given value \(\tan A = \frac{3}{4}\):
\[ \frac{1 - \frac{3}{4}}{1 + \frac{3}{4}} = \frac{\frac{4-3}{4}}{\frac{4+3}{4}} = \frac{\frac{1}{4}}{\frac{7}{4}} = \frac{1}{4} \times \frac{4}{7} = \frac{1}{7} \]Both methods yield the same result.
Correct Option: C) \( \frac{1}{7} \)
The question asks for the headquarters of the National Stock Exchange of India (NSE). This is a factual question about a key financial institution in India. Knowledge of major financial centers and institutions is important for competitive exams.
A) Mumbai is the correct answer. Mumbai is the financial capital of India and hosts the headquarters of major financial institutions, including the National Stock Exchange (NSE) and the Bombay Stock Exchange (BSE), as well as the Reserve Bank of India (RBI).
The question asks for the specific name of the book that records endangered animals and plants. This is a factual question related to environmental conservation and biodiversity. We need to identify the internationally recognized publication for this purpose.
Therefore, the book that keeps a record of all endangered animals and plants is the Red Data Book.
Correct Option: D) Red Data Book
The question asks for the establishment year of the International Bank for Reconstruction and Development (IBRD), commonly known as the World Bank, which was created to aid in post-World War II recovery. This is a factual question related to international organizations and their historical context.
Correct Option: C) 1944
The International Bank for Reconstruction and Development (IBRD), the original institution of the World Bank Group, was established in 1944 at the Bretton Woods Conference. Its primary purpose was to finance the reconstruction of nations devastated by World War II and to promote economic development.