The question asks for the state where the Sabarimala Sri Ayyappa temple is located. This is a direct factual question related to Indian geography and culture, often tested in general knowledge sections of competitive exams.
Correct Option: C) Kerala
The Sabarimala Sri Ayyappa temple is one of the most famous pilgrimage centers in India, located in the Pathanamthitta district of Kerala. It is dedicated to Lord Ayyappan.
This is a logical deduction problem. We need to assign shapes, colours, and materials to objects X, Y, and Z based on the given clues. We can use a table or simply list the attributes as we deduce them.
Correct Option: B) Gold
The problem asks us to find what percentage the selling price is of the cost price, given a relationship between the cost price and the selling price. We will use algebraic representation to set up the given condition and then derive the required percentage.
A) 250% is the correct answer because, as calculated, \(SP = 250\% \times CP\).
The question asks to identify the incorrectly matched pair of a nuclear power plant and its state. We need to recall the locations of major nuclear power plants in India.
Correct Option: D) Kalpakkam – Karnataka is the incorrectly matched pair. The Kalpakkam Nuclear Power Plant is located in Tamil Nadu, not Karnataka.
The base and the altitude of a right-angled triangle are 15 cm and 8 cm respectively. What is the altitude from the opposite vertex to its hypotenuse?
7 \( \frac{1}{15} \) cm
1 \( \frac{7}{17} \) cm
7 \( \frac{1}{17} \)cm
7 \( \frac{11}{17} \) cm
To find the altitude from the opposite vertex to the hypotenuse of a right-angled triangle, we first need to calculate the length of the hypotenuse using the Pythagorean theorem. Then, we can use the formula for the area of a triangle, expressed in two ways, to find the altitude.
Identify the given values:
Calculate the hypotenuse (\(h\)):
Using the Pythagorean theorem, \(a^2 + b^2 = h^2\):
Calculate the area of the triangle:
The area of a right-angled triangle can be calculated as half the product of its base and altitude (legs):
Calculate the altitude to the hypotenuse (\(x\)):
The area of the triangle can also be expressed as half the product of the hypotenuse and the altitude to the hypotenuse:
Convert the improper fraction to a mixed fraction:
\[ x = \frac{120}{17} \]\[ 120 \div 17 = 7 \text{ with a remainder of } 1 \]\[ x = 7 \frac{1}{17} \text{ cm} \]C) \(7 \frac{1}{17}\) cm is the correct altitude from the opposite vertex to the hypotenuse.
The question asks to identify the nature of e-NAM, a scheme launched by the Government of India in April 2016. This requires knowledge of government initiatives related to agriculture and digital platforms.
Correct Option: D) an electronic platform for agriculture market
e-NAM (National Agriculture Market) is an online trading platform for agricultural commodities in India. The initiative was launched on 14 April 2016, with the aim of integrating existing APMC mandis to create a unified national market for agricultural produce. It facilitates transparent price discovery and transactions for farmers, buyers, and traders across the country.
The problem requires us to solve a linear equation involving percentages to find the value of an unknown number. We will convert percentages to decimal or fractional form and then use algebraic manipulation to isolate the unknown variable.
\(120\% \text{ of } 3125 - 90\% \text{ of } ? = 150\)
\(120\% = \frac{120}{100} = 1.2\)
\(90\% = \frac{90}{100} = 0.9\)
\(1.2 \times 3125 - 0.9 \times x = 150\)
\(1.2 \times 3125 = 3750\)
\(3750 - 0.9x = 150\)
\(3750 - 150 = 0.9x\)
\(3600 = 0.9x\)
\(x = \frac{3600}{0.9}\)
\[x = \frac{3600}{\frac{9}{10}}\]
\(x = \frac{3600 \times 10}{9}\)
\(x = \frac{36000}{9}\)
\(x = 4000\)
The number that replaces the question mark is 4000.
C) 4000 is the correct answer as calculated by solving the given equation.
The question asks to identify the National Waterway that runs along the Coromandel Coast and also through parts of the Krishna and Godavari rivers in South India. This requires knowledge of the major National Waterways and their geographical locations.
Correct Option: D) National Waterway-4 is the correct answer. It connects the Kakinada-Puducherry canal systems with the Godavari and Krishna rivers, thus fulfilling both conditions of running along the Coromandel Coast and through parts of the Krishna and Godavari rivers.
This question tests knowledge of binomial nomenclature, a system for naming organisms. Each organism has a unique scientific name consisting of two parts: the genus and the species. For common fruits like mango, knowing their scientific names is often required for competitive exams.
Correct Option: C) Mangifera Indica — The scientific name for the mango fruit is Mangifera indica. Mangifera is the genus, and indica is the species epithet, referring to its origin in India.
The question asks to identify a type of software that runs in the background, collects browsing habits, and sends this information to a third party. We need to evaluate each option based on its definition in the context of computer security and malicious software.
Correct Option: D) Spyware is precisely defined as a program that runs in the background, collecting and sending information about a user's activities, including browsing habits, to a third party without their knowledge or consent.