The question asks us to find a relationship between the first two terms ("Shoe" and "Lace") and then apply the same relationship to the third term ("Shirt") to find the fourth term. This is a common type of analogy question where we need to identify the functional or structural connection between the given pair.
Correct Option: B) Buttons
To find the area of the curved surface of a cone, we use the standard formula for the lateral surface area of a cone, which involves its radius and slant height. We will substitute the given values into this formula and calculate the result.
Correct Option: A) 550 cm² is the calculated curved surface area of the cone.
The question asks about the origin of the principles of Liberty, Equality, and Fraternity in the Indian Constitution. This requires knowledge of the sources of the Indian Constitution, specifically which historical document or constitution inspired these particular ideals.
Correct Option: A) the French Constitution. The ideals of Liberty, Equality, and Fraternity are directly inspired by the French Revolution and are a prominent feature of the French constitutional tradition.
The question asks to identify the state in India with the richest haematite deposits. This requires knowledge of the geographical distribution of major mineral resources in India, specifically iron ore (haematite).
Correct Option: D) Odisha is the state with the richest haematite deposits in India. It possesses about 33% of the country's total haematite reserves. Major haematite mines in Odisha are located in areas like Sundargarh, Mayurbhanj, Keonjhar, and Jajpur.
To make the given expression a perfect square, we need to compare it with the algebraic identity \((a+b)^2 = a^2 + 2ab + b^2\). By identifying the terms for \(a^2\), \(b^2\), and \(2ab\), we can solve for \(x\).
The given expression is \(21.98 \times 21.98 + 21.98x + 0.04 \times 0.04\).
We can rewrite the expression as \((21.98)^2 + 21.98x + (0.04)^2\).
For this expression to be a perfect square, it must be in the form \((a+b)^2 = a^2 + 2ab + b^2\).
Comparing the given expression with the identity:
Substitute the values of \(a\) and \(b\) into \(2ab\):
\[ 2ab = 2 \times (21.98) \times (0.04) \]Now, equate this to the middle term of the given expression:
\[ 21.98x = 2 \times 21.98 \times 0.04 \]To solve for \(x\), divide both sides by \(21.98\):
\[ x = 2 \times 0.04 \]Calculate the value of \(x\):
\[ x = 0.08 \]Correct Option: C) 0.08
To find the next number in the series, we need to identify the pattern or rule governing the sequence of numbers. We will examine the differences between consecutive terms to uncover this pattern.
A) 93 is the correct answer because it follows the established pattern where each term is obtained by adding consecutive perfect squares to the previous term.
The question asks us to identify the option that shares the same relationship as the given pair: "Music : Composer". We need to determine the nature of the relationship between "Music" and "Composer" and then find an option where the two words have an analogous relationship.
Correct Option: C) Song : Lyricist. A Lyricist creates a Song (specifically, the lyrics of a song), just as a Composer creates Music.
The question asks about the chemical element required to harden steel. This involves knowledge of metallurgy and the properties that different alloying elements impart to steel.
Correct Option: A) Manganese is a crucial alloying element used to increase the hardenability and strength of steel, making it harder and more resistant to wear.
The question asks to identify the report that first introduced the concept of 'sustainable development'. We need to recall the key international reports and declarations related to environmental and development issues and their primary contributions.
Correct Option: D) Brundtland report — The Brundtland Report, officially titled "Our Common Future" (1987), is widely credited with popularizing and providing the most commonly accepted definition of sustainable development.
The question asks to identify the Government of India Act under which provincial autonomy was introduced. This requires knowledge of the key features and provisions of various Government of India Acts passed by the British Parliament.
A) 1935 — The Government of India Act of 1935 is widely recognized for introducing provincial autonomy, abolishing dyarchy in the provinces, and making them autonomous units of administration.