The question asks to identify the language declared as a classical language in 2014. This requires knowledge of the timeline of classical language declarations in India.
Based on this information, Odia was the language declared as a classical language in 2014.
Correct Option: C) Odia
The problem involves finding an angle in a trapezium with given parallel sides and some angle and side equality conditions. We will use properties of parallel lines, angles in a triangle, and properties of isosceles triangles to solve this.
C) 80° is the correct answer, as calculated in the step-by-step solution.
The question asks for the term that describes the total liability of the monetary authority (Reserve Bank of India). This is a fundamental concept in monetary economics. We need to identify the term that represents the total monetary obligations of the central bank.
B) Base Money — Base Money, also known as High-Powered Money, represents the total monetary liabilities of the central bank. It includes currency held by the public and commercial banks' reserves (deposits) held with the central bank. These are the foundational components of the money supply, directly controlled by the monetary authority.
The question asks to identify which of the given rivers is a part of the Brahmaputra River System. This requires knowledge of the major tributaries of the Brahmaputra River.
The Lohit River is a significant tributary of the Brahmaputra River. It originates in eastern Tibet, flows through Arunachal Pradesh, and joins the Brahmaputra (known as Siang here) at a place called Kobo in Assam, shortly after the Siang itself enters India. It is known for its turbulent waters and is often called the "river of blood" due to the reddish hue of its soil.
Refer to the following letter, number, symbol series and answer the question.
(Left) J * D 1 J 9 8 # Y W N P & 3 @ N L 2 E & H (Right)
How many such symbols are there which are immediately preceded by a letter and also immediately followed by a number?
The problem asks us to identify the number of symbols in the given series that are immediately preceded by a letter and immediately followed by a number. We need to scan the series and look for the pattern: Letter - Symbol - Number.
J * D 1 J 9 8 # Y W N P & 3 @ N L 2 E & H*, #, &, @, &.* are J * D. Here, J is a letter, * is a symbol, and D is a letter. This does not fit the pattern (Letter - Symbol - Number).# are 8 # Y. Here, 8 is a number, # is a symbol, and Y is a letter. This does not fit the pattern (Letter - Symbol - Number).& are P & 3. Here, P is a letter, & is a symbol, and 3 is a number. This fits the pattern (Letter - Symbol - Number). So, we found one such symbol.@ are 3 @ N. Here, 3 is a number, @ is a symbol, and N is a letter. This does not fit the pattern (Letter - Symbol - Number).& are E & H. Here, E is a letter, & is a symbol, and H is a letter. This does not fit the pattern (Letter - Symbol - Number).&) satisfies the given conditions.Correct Option: C) 1
The resistance of a wire is directly proportional to its resistivity and length, and inversely proportional to its cross-sectional area. Since the length and thickness (implying cross-sectional area) are the same for all three wires, the ratio of their resistances will be directly proportional to the ratio of their resistivities.
The resistance \(R\) of a wire is given by the formula:
\[ R = \rho \frac{L}{A} \]where:
The problem states that the three wires (A, B, C) have the same length (\(L\)) and the same thickness (meaning the same cross-sectional area \(A\)).
Since \(L\) and \(A\) are constant for all three wires, we can write:
\[ R \propto \rho \]This means the ratio of resistances is equal to the ratio of resistivities.
The ratio of their resistivities \(\rho_A : \rho_B : \rho_C\) will be the same as the ratio of their resistances \(R_A : R_B : R_C\).
\[ \rho_A : \rho_B : \rho_C = R_A : R_B : R_C \]\[ \rho_A : \rho_B : \rho_C = 0.5 : 0.2 : 1.0 \]To get rid of decimals, multiply each term by 10:
\[ \rho_A : \rho_B : \rho_C = (0.5 \times 10) : (0.2 \times 10) : (1.0 \times 10) \]\[ \rho_A : \rho_B : \rho_C = 5 : 2 : 10 \]B) The ratio of resistivities is 5 : 2 : 10, which matches the calculated ratio.
In a certain code language, ‘I like holidays’ is written as ‘sf vg tu’, ‘summer holidays started’ is written as ‘nj tu mk’ and ‘I hate summer’ is written as ‘sf io nj’. What is the code for the word ‘summer’ in that language?
This is a coding-decoding problem. We need to find the code for the word 'summer' by comparing the given coded statements and identifying common words and their corresponding codes.
Correct Option: D) nj is the code for the word 'summer'.
The volume of a cylinder having diameter 14 cm and height 5 cm is: (Use π = \( \frac{22}{7} \))
To find the volume of a cylinder, we use the formula \(V = \pi r^2 h\), where \(r\) is the radius and \(h\) is the height. We are given the diameter, so we first need to calculate the radius from the diameter.
C) 770 cm³ is the correct volume calculated using the given diameter and height.
Döbereiner's Triads was an early attempt to classify elements based on their properties. According to Döbereiner's Law of Triads, when elements are arranged in groups of three (triads) in increasing order of their atomic masses, the atomic mass of the middle element is approximately the arithmetic mean of the atomic masses of the other two elements. We need to apply this principle to the given triad of chlorine, bromine, and iodine.
Correct Option: C) 79.9
The average of the atomic masses of chlorine (\(35.5\)) and iodine (\(126.9\)) is \((35.5 + 126.9) / 2 = 162.4 / 2 = 81.2\). This value is closest to the actual atomic mass of bromine, which is \(79.9\). Therefore, \(79.9\) is the correct answer as per Döbereiner's triad concept.
Transparency International has released the Corruption Perceptions Index (CPI) 2021. What is the rank of India in this index?
The question asks for India's rank in the Corruption Perceptions Index (CPI) 2021 released by Transparency International. This requires recalling specific factual information about international reports and rankings.
Correct Option: D) 85 th