The question asks to identify which of the given options is NOT a part of capital receipts. To answer this, we need to understand the definition of capital receipts and distinguish them from revenue receipts.
Correct Option: D) Tax is NOT a part of capital receipt because it is a revenue receipt.
The question asks to identify the essential element crucial for the synthesis of proteins and other compounds in plants. We need to recall the primary roles of macronutrients in plant physiology.
Correct Option: C) Nitrogen is a primary constituent of amino acids, which are the building blocks of proteins. Therefore, it is essential for protein synthesis and the formation of many other vital organic compounds in plants.
The question asks to identify the eighth Secretary-General of the United Nations. This requires knowledge of the chronological order of individuals who have held this prestigious international office.
The Secretaries-General of the UN in order are:
From this list, Ban Ki-moon is the eighth Secretary-General.
Correct Option: C) Ban Ki-Moon
The question asks to identify the first Indian recipient of the Nobel Prize in Literature, specifically in the year 1913. This requires knowledge of prominent Indian literary figures and their achievements, particularly in the context of international awards.
Rabindranath Tagore was a Bengali polymath who reshaped Bengali literature and music, as well as Indian art with contextual modernism in the late 19th and early 20th centuries. He became the first non-European to win the Nobel Prize in Literature in 1913 for his profoundly sensitive, fresh, and beautiful verse, by which, with consummate skill, he has made his poetic thought, expressed in his own English words, a part of the literature of the West.
Correct Option: C) Rabindranath Tagore was the first Indian to win the Nobel Prize for Literature in 1913. He received it for his collection of poems, "Gitanjali."
The question asks to identify the author of the book 'Shades of Saffron'. This is a factual recall question related to Indian authors and their works, often tested in general knowledge sections of competitive exams.
C) Saba Naqvi
Saba Naqvi is a well-known Indian journalist and author. Her book 'Shades of Saffron: From Vajpayee to Modi' (published in 2018) provides an insightful account of the Bharatiya Janata Party's (BJP) journey and transformation over the years, covering the eras of Atal Bihari Vajpayee and Narendra Modi. Therefore, Saba Naqvi is the correct author.
This question asks for the economic term that defines the total cost per unit of output. Understanding basic cost concepts in economics is crucial for answering this.
B) average cost — Average cost is precisely defined as the total cost incurred to produce a given quantity of output, divided by that quantity. Therefore, it represents the total cost per unit of output.
The problem involves decoding a word based on a given coding pattern. We need to identify the rule applied to transform "REWARI" into "TGYCTK" and then apply the same rule to "DELHI" to find its coded form.
The pattern is consistent: each letter in the original word is shifted forward by 2 positions in the English alphabet to get the corresponding letter in the coded word.
Correct Option: A) FGNJK is the correct coded form of DELHI based on the identified pattern.
The question asks for the formation year of the State Reorganisation Commission in India. This is a factual question related to the post-independence administrative history of India. Recall the key events related to the linguistic reorganisation of states.
Correct Option: B) The State Reorganisation Commission was formed in December 1953 to address the demands for the reorganisation of states on a linguistic basis.
If \( x^{2} - 4x + 1 = 0 \), what is the value of \( x^{2} + \frac{1}{x^2} \)?
The problem asks us to find the value of \( x^2 + \frac{1}{x^2} \) given the equation \( x^2 - 4x + 1 = 0 \). We can solve this by first manipulating the given equation to find a relationship involving \( x + \frac{1}{x} \) or \( x - \frac{1}{x} \), and then using the algebraic identity \( \left(a+b\right)^2 = a^2 + b^2 + 2ab \) or \( \left(a-b\right)^2 = a^2 + b^2 - 2ab \).
We are given the equation:
\[ x^2 - 4x + 1 = 0 \]Since \( x=0 \) would lead to \( 1=0 \), which is false, we know that \( x \neq 0 \). Therefore, we can divide the entire equation by \( x \):
\[ \frac{x^2}{x} - \frac{4x}{x} + \frac{1}{x} = \frac{0}{x} \]\[ x - 4 + \frac{1}{x} = 0 \]Rearrange the terms to find the value of \( x + \frac{1}{x} \):
\[ x + \frac{1}{x} = 4 \]To find \( x^2 + \frac{1}{x^2} \), we can square both sides of the equation \( x + \frac{1}{x} = 4 \):
\[ \left(x + \frac{1}{x}\right)^2 = 4^2 \]Here, \( a = x \) and \( b = \frac{1}{x} \). So,
\[ x^2 + \left(\frac{1}{x}\right)^2 + 2 \cdot x \cdot \frac{1}{x} = 16 \]\[ x^2 + \frac{1}{x^2} + 2 = 16 \]Subtract 2 from both sides of the equation:
\[ x^2 + \frac{1}{x^2} = 16 - 2 \]\[ x^2 + \frac{1}{x^2} = 14 \]C) 14 is the correct value for \( x^2 + \frac{1}{x^2} \).
The value of \( \frac{2}{5} \) × 350 + 30% of 250 is:
To solve this problem, we need to evaluate two separate terms and then add them. The first term involves multiplying a fraction by a number, and the second term involves calculating a percentage of a number. We will perform these operations step-by-step.
Calculate the first term: \( \frac{2}{5} \times 350 \)
\[ \frac{2}{5} \times 350 = 2 \times \frac{350}{5} = 2 \times 70 = 140 \]
Calculate the second term: 30% of 250
To find 30% of 250, we can write 30% as a fraction \( \frac{30}{100} \) or a decimal 0.30.
\[ 30\% \text{ of } 250 = \frac{30}{100} \times 250 = 0.30 \times 250 \]
\[ = 3 \times 25 = 75 \]
Add the results of the two terms
Now, add the value from Step 1 and Step 2:
\[ 140 + 75 = 215 \]
Thus, the value of \( \frac{2}{5} \times 350 + 30\% \text{ of } 250 \) is 215.
Correct Option: B) 215