The question asks us to find a relationship between the first two terms and apply the same relationship to the third term to find the fourth term. This is a common type of analogy question in competitive exams, testing vocabulary and logical reasoning.
C) Trio — A "trio" is a group of three people or things, which perfectly aligns with the relationship where "Pair" signifies a group of two.
The question asks to identify which of the given options is NOT a public sector unit. A public sector unit (PSU) is a company owned by the government (either central or state) by holding more than 50% of its equity share capital. We need to examine each option to determine its ownership structure.
Correct Option: B) ICICI is a private sector bank, not a public sector unit. While it had government origins, it was privatized in 1994 and is now primarily owned by private shareholders.
The question asks to identify the component of the muscular system responsible for connecting bones to other bones. We need to recall the primary functions of the different connective tissues associated with the skeletal and muscular systems.
Correct Option: C) Ligament — Ligaments are strong, fibrous connective tissues that connect bones to other bones, forming joints and providing stability.
The question asks to identify a volatile memory from the given options. Volatile memory is a type of computer memory that requires power to maintain the stored information. It loses its content when the power is turned off. We need to evaluate each option based on this definition.
Based on the evaluation, only RAM fits the definition of volatile memory.
Correct Option: A) RAM is a volatile memory because it loses its stored information when the power is turned off. It is used for temporary storage of data that the CPU is actively using.
The question asks for the definition of 'Heat Budget'. This concept relates to the energy balance of the Earth's atmosphere and surface, specifically concerning incoming solar radiation and outgoing terrestrial radiation.
Correct Option: A) The balance between the incoming heat absorbed by the earth and the outgoing heat in the form of radiation
To find the area of the inner square formed by joining the mid-points of the sides of an outer square, we first determine the side length of the outer square from its given area. Then, we can use the property that the inner square's area is half the outer square's area, or calculate its side length using the Pythagorean theorem.
Find the side length of the outer square:
Let the side length of the outer square be \(s_1\).
The area of a square is given by the formula: \(\text{Area} = \text{side}^2\).
Given that the area of the outer square is \(36 \text{ cm}^2\), we have:
\[ s_1^2 = 36 \text{ cm}^2 \]\[ s_1 = \sqrt{36} \text{ cm} \]\[ s_1 = 6 \text{ cm} \]So, the side length of the outer square is \(6 \text{ cm}\).
Understand the relationship between the squares:
When the mid-points of the sides of a square are joined, they form another square inside it. Each side of this inner square is the hypotenuse of a right-angled triangle formed by half the sides of the outer square.
Calculate the side length of the inner square (optional, but good for understanding):
Let the mid-points divide each side of the outer square into two segments of length \(s_1/2\). In this case, \(6/2 = 3 \text{ cm}\).
Consider one of the right-angled triangles formed at a corner of the outer square. Its two legs are \(3 \text{ cm}\) each. Let the side length of the inner square be \(s_2\).
Using the Pythagorean theorem:
\[ s_2^2 = (3 \text{ cm})^2 + (3 \text{ cm})^2 \]\[ s_2^2 = 9 \text{ cm}^2 + 9 \text{ cm}^2 \]\[ s_2^2 = 18 \text{ cm}^2 \]Calculate the area of the inner square:
The area of the inner square is \(s_2^2\).
\[ \text{Area of inner square} = 18 \text{ cm}^2 \]Alternative (quicker) method:
A well-known property is that when a square is formed by joining the mid-points of another square's sides, the area of the inner square is exactly half the area of the outer square.
Area of inner square \[= \frac{1}{2} \times \text{Area of outer square}\]
Area of inner square \( = \frac{1}{2} \times 36 \text{ cm}^2 \)
Area of inner square \( = 18 \text{ cm}^2 \)
C) The area of the square formed by joining the mid-points of its sides is \(18 \text{ cm}^2\).
The question asks for the locations involved in the world's first official airmail service. This is a factual question related to historical events in India's postal and aviation history.
D) Allahabad, Naini. The world's first official airmail flight took place on February 18, 1911, from Allahabad to Naini, a distance of about 13 kilometers. The pilot was Henri Pequet, and the mail was carried in a Humber biplane. This event marked a significant milestone in the history of aviation and postal services.
As of 31st October 2020, The International Monetary Fund (IMF) has _____ member countries.
The question asks for the number of member countries of the International Monetary Fund (IMF) as of a specific date (October 31, 2020). This requires knowledge of current affairs and international organizations.
Correct Option: D) 190
As of October 31, 2020, Andorra officially became the 190th member country of the International Monetary Fund (IMF). This was a significant event in the IMF's history, bringing its total membership to 190 nations.
To find the youngest person, we need to establish the age order of all individuals mentioned. We will use the given statements to form inequalities and then combine them to create a complete sequence from oldest to youngest.
Correct Option: B) Monika is the youngest among them, as established by the combined age order.
We will set up equations based on the given profit percentages and changes in cost price (CP) and selling price (SP). We will define the initial CP and SP, then express the new CP and SP after the reduction. Finally, we will use the profit percentage formula to solve for the original cost price.
Let the original Cost Price be \( \text{CP} = x \).
The article is sold at a profit of 20%. So, the original Selling Price (SP) is:
\[ \text{SP} = \text{CP} + 0.20 \times \text{CP} = 1.20x \]If both the CP and SP are ₹100 less, then:
New Cost Price \( \text{CP}' = x - 100 \)
New Selling Price \( \text{SP}' = 1.20x - 100 \)
The original profit is 20%. If the profit will be 4% more, the new profit percentage is \( 20\% + 4\% = 24\% \).
The profit percentage is calculated as \( \frac{\text{Profit}}{\text{CP}} \times 100 \). So, for the new scenario:
\[ \frac{\text{SP}' - \text{CP}'}{\text{CP}'} \times 100 = 24 \]Substitute the expressions for \( \text{CP}' \) and \( \text{SP}' \):
\[ \frac{(1.20x - 100) - (x - 100)}{x - 100} \times 100 = 24 \]The original cost price is ₹600.
Correct Option: D) ₹600