The question asks to identify the pigment in human blood responsible for oxygen transport. We need to recall the components of blood and their primary functions.
Correct Option: D) Haemoglobin is the iron-containing protein pigment in red blood cells that binds to oxygen in the lungs and transports it to tissues throughout the body.
The question asks to identify the domain extension used specifically for government websites. Domain extensions, also known as Top-Level Domains (TLDs), categorize websites based on their purpose, organization type, or geographical location. We need to evaluate each given option to determine which one is designated for government entities.
C) .gov is the domain extension reserved for government entities, particularly in the United States. Many other countries also use a variation of .gov within their country-code top-level domains (e.g., .gov.in for India).
The question asks to identify which of the given options is NOT a sub-field of economic geography. To answer this, we need to understand what economic geography entails and then evaluate each option against that definition.
D) Political Geography is not a sub-field of economic geography. It is a distinct branch of human geography that focuses on the spatial implications of political processes.
The question asks to identify the country that has officially adopted 'Gross National Happiness (GNH)' as its primary measure of national progress. This is a factual question related to international development indicators and country-specific policies.
Gross National Happiness (GNH) is a philosophy that guides the government of Bhutan. It includes an index which is used to measure the collective happiness and well-being of a population. GNH was propounded by the fourth King of Bhutan, Jigme Singye Wangchuck, in 1972, and it emphasizes a holistic approach to development, balancing material and spiritual well-being.
A) Bhutan — Bhutan is globally recognized as the country that officially adopted and champions Gross National Happiness (GNH) as its development philosophy and measure of progress. It integrates spiritual, physical, social, and environmental health into its policy-making.
The question asks to identify the first and only acting Prime Minister of India. This requires knowledge of the history of Indian Prime Ministers and their tenures, specifically focusing on individuals who held the position in an acting capacity.
Upon the death of Jawaharlal Nehru on May 27, 1964, Gulzarilal Nanda was sworn in as the acting Prime Minister. He served in this capacity until Lal Bahadur Shastri was appointed as the full-time Prime Minister. Later, upon the sudden death of Lal Bahadur Shastri in Tashkent on January 11, 1966, Gulzarilal Nanda again served as the acting Prime Minister until Indira Gandhi was elected and sworn in as the Prime Minister. Gulzarilal Nanda is the only person to have served as acting Prime Minister of India, and he did so twice.
A) Gulzarilal Nanda — He served as the acting Prime Minister of India twice: first after the death of Jawaharlal Nehru in 1964, and then after the death of Lal Bahadur Shastri in 1966. He is the only individual to have held this position.
The problem asks us to find the value of \( x^3 + y^3 \) given the sum \( x+y \) and the product \( xy \). We can use the algebraic identity for the sum of cubes, which relates \( x^3 + y^3 \) to \( (x+y) \) and \( xy \).
The identity for the sum of two cubes is:
\[ x^3 + y^3 = (x+y)(x^2 - xy + y^2) \]We know \( x+y \) and \( xy \). We need to express \( x^2 + y^2 \) in terms of \( x+y \) and \( xy \). We know that \( (x+y)^2 = x^2 + 2xy + y^2 \). Therefore,
\[ x^2 + y^2 = (x+y)^2 - 2xy \]Now substitute the expression for \( x^2 + y^2 \) back into the sum of cubes identity:
\[ x^3 + y^3 = (x+y)((x+y)^2 - 2xy - xy) \]\[ x^3 + y^3 = (x+y)((x+y)^2 - 3xy) \]We are given \( x+y = 5 \) and \( xy = 6 \). Substitute these values into the derived formula:
\[ x^3 + y^3 = (5)((5)^2 - 3(6)) \]Perform the calculations:
\[ x^3 + y^3 = 5(25 - 18) \]\[ x^3 + y^3 = 5(7) \]\[ x^3 + y^3 = 35 \]Correct Option: C) 35
The problem provides a coding rule where letters are assigned numerical values. We need to identify the pattern for this assignment and then apply it to the word AMAZON.
In the standard English alphabet, A is the 1st letter and O is the 15th letter.
The pattern is confirmed: each letter is coded as \(27 - (\text{its alphabetical position})\).
Putting these codes together for AMAZON, we get 26142611213.
Correct Option: B) 26142611213
The value of 180 ÷ 20{(15 − 6) + (24 − 18)} is:
To solve this problem, we need to follow the order of operations, often remembered by the acronym BODMAS/PEMDAS. This means we perform operations in the following order: Brackets/Parentheses, Orders/Exponents, Division/Multiplication (from left to right), and Addition/Subtraction (from left to right).
B) The calculated value is \( \frac{3}{5} \). However, the option provided is \( \frac{9}{15} \). Let's check if \( \frac{9}{15} \) simplifies to \( \frac{3}{5} \). Dividing both numerator and denominator by 3, we get \[\frac{9 \div 3}{15 \div 3} = \frac{3}{5}\]. Thus, option B is correct.
The question asks to identify which of the given options is NOT a web browser. To answer this, we need to know the definition of a web browser and recognize common examples of web browsers and other internet-related services.
Correct Option: B) Wikipedia is an online encyclopedia and a website, not a web browser. A web browser is a software application used to access websites like Wikipedia.
To find the smallest number that, when 25 is added to it, is exactly divisible by 25, 36, and 40, we first need to find the Least Common Multiple (LCM) of 25, 36, and 40. The LCM will be the smallest number that is exactly divisible by all three numbers. Once we have the LCM, we subtract 25 from it to find the required number.
Find the prime factorization of each number:
Calculate the LCM: The LCM is found by taking the highest power of all prime factors present in the numbers.
So, the LCM is:
\[ \text{LCM}(25, 36, 40) = 2^3 \times 3^2 \times 5^2 \]\[ \text{LCM} = 8 \times 9 \times 25 \]\[ \text{LCM} = 72 \times 25 \]\[ \text{LCM} = 1800 \]Determine the required number: The problem states that when 25 is added to the smallest number, it becomes exactly divisible by 25, 36, and 40. This means that the number after adding 25 is the LCM. Let the required smallest number be \(N\).
\[ N + 25 = \text{LCM} \]\[ N + 25 = 1800 \]\[ N = 1800 - 25 \]\[ N = 1775 \]D) 1775 — When 25 is added to 1775, the result is \(1775 + 25 = 1800\). Since 1800 is the LCM of 25, 36, and 40, it is exactly divisible by all three numbers. Therefore, 1775 is the smallest such number.