The problem is a coding-decoding question. We need to identify the pattern used to code 'HONEST' as 'IPOFTU' and then apply the same pattern to code 'SISTER'.
Let's compare the letters of 'HONEST' with 'IPOFTU' position by position:
The pattern observed is that each letter in the original word is shifted one position forward in the English alphabet to get the coded word.
Now, we apply the same '+1' rule to each letter of the word 'SISTER':
Combining the shifted letters, the coded word for 'SISTER' is 'TJTUFS'.
Correct Option: A) TJTUFS is the correct code for 'SISTER' based on the identified pattern.
To find the surface area of a sphere, we use the standard formula for the surface area of a sphere, which is \(4 \pi r^2\), where \(r\) is the radius of the sphere. We are given the radius, so we just need to substitute it into the formula and calculate the result.
Correct Option: D) 5544 m²
The question asks to identify the soil type that is rich in specific nutrients like calcium carbonate, magnesium, potash, and lime. We need to recall the characteristics and chemical composition of the major soil types found in India.
A) Black soil is known for its richness in calcium carbonate, magnesium, potash, and lime. These soils are highly fertile and are particularly suitable for growing cotton.
The question asks about the language in which the ancient Indian mathematician and astronomer Aryabhata wrote his famous work, the Aryabhatiyam. This is a factual recall question related to ancient Indian history and science.
D) Sanskrit — Aryabhata wrote his seminal work, the Aryabhatiyam, in Sanskrit. This text is a comprehensive treatise on mathematics and astronomy and is one of the most important works from the classical age of Indian science.
The question asks for the term that describes a development approach combining economic growth with ecological responsibility. This concept is fundamental in environmental studies and economics, particularly in the context of long-term societal well-being.
A) Sustainable development is the approach that integrates economic growth with environmental protection and social equity, ensuring that current needs are met without compromising the ability of future generations to meet their own needs. This perfectly matches the description provided in the question.
The question asks to identify the apex body responsible for coordinating rural financing institutions in India. This requires knowledge of the major financial institutions and their roles, particularly in the agricultural and rural sectors.
D) NABARD was established as an apex development bank to facilitate credit flow for the promotion and development of agriculture, small-scale industries, cottage and village industries, handicrafts, and other rural crafts, and other allied economic activities in rural areas. It serves as an apex body to coordinate the activities of all institutions involved in rural financing, including commercial banks, regional rural banks, and cooperative banks.
Find the positive value of \(\sqrt{12+\sqrt{12+\sqrt{12+\cdots}}}\)
This problem involves an infinite nested square root expression. We can solve such problems by setting the entire expression equal to a variable, and then recognizing that the expression repeats itself within the root. This allows us to form an algebraic equation and solve for the variable.
Let the given expression be equal to \(x\):
\[ x = \sqrt{12+\sqrt{12+\sqrt{12+\cdots}}} \]Observe that the expression under the first square root, \(\sqrt{12+\sqrt{12+\cdots}}\), is the same as the original expression \(x\). So, we can substitute \(x\) back into the equation:
\[ x = \sqrt{12+x} \]To eliminate the square root, square both sides of the equation:
\[ x^2 = (\sqrt{12+x})^2 \]\[ x^2 = 12+x \]Rearrange the equation into a standard quadratic form \(ax^2+bx+c=0\):
\[ x^2 - x - 12 = 0 \]Solve the quadratic equation by factoring. We need two numbers that multiply to -12 and add to -1. These numbers are -4 and 3:
\[ (x-4)(x+3) = 0 \]This gives two possible values for \(x\):
\[ x-4=0 \implies x=4 \]\[ x+3=0 \implies x=-3 \]The original expression involves a square root, and we are asked for the positive value. The square root of a positive number is always non-negative. Therefore, \(x\) must be positive.
Comparing the two solutions, \(x=4\) is positive, and \(x=-3\) is negative. Thus, the positive value of the expression is 4.
Correct Option: D) 4
This problem involves calculating the cost price of an article given its selling price and percentage loss, and then determining the selling price required to achieve a specific percentage profit. We will use the formulas for calculating selling price with profit/loss percentages.
Correct Option: C) ₹2,400
The question asks to identify which country's constitution was NOT a source for the Indian Constitution. To answer this, we need to recall the major foreign sources from which the framers of the Indian Constitution borrowed various features.
Correct Option: A) The Constitution of Denmark is not recognized as a source from which the framers of the Indian Constitution borrowed significant features. While many countries' constitutions influenced India's, Denmark's was not among them.
The question asks to identify the type of material through which objects can be seen, but not clearly. This relates to the classification of materials based on how they interact with light.
Correct Option: A) translucent materials allow light to pass through them, but they scatter the light, making objects appear blurry or indistinct.