The problem asks us to identify a pair that follows the same pattern as the two given pairs. We need to decode the pattern by analyzing the letter transformations in the given examples and then apply that pattern to the options.
The question asks about the fundamental reason for the continuous movement of particles of matter. This relates to the basic properties of matter and energy forms.
Correct Option: B) Particles of matter are continuously moving due to their kinetic energy. Kinetic energy is the energy possessed by an object due to its motion. Since particles of matter are always in a state of motion (vibration, translation, or rotation), they inherently possess kinetic energy.
The question asks to identify statements that are related to an ecosystem. We need to evaluate each given statement based on the definition and components of an ecosystem.
An ecosystem is a community of living organisms (biotic components) interacting with their non-living (abiotic) environment. Biotic components include all living organisms like plants, animals, fungi, and microorganisms. Therefore, this statement is correct.
Producers are organisms that produce their own food, primarily through photosynthesis (like green plants) or chemosynthesis (like certain bacteria). Green plants use sunlight to convert carbon dioxide and water into glucose. Chemosynthetic bacteria use chemical energy to produce food. Thus, this statement is correct.
Decomposers, such as bacteria and fungi, play a crucial role in an ecosystem by breaking down dead organic matter (complex organic substances) from producers and consumers into simpler inorganic substances (like carbon dioxide, water, and nutrients). These inorganic substances are then recycled back into the ecosystem, making them available for producers. Therefore, this statement is correct.
Correct Option: B) (i), (ii) and (iii)
All three statements accurately describe aspects of an ecosystem: its biotic components, the role of producers, and the function of decomposers.
The question asks to identify the physical effect of electric current that forms the basis of operation for common household heating appliances. We need to recall the different effects of electric current and how they are applied in various devices.
Correct Option: D) Heating effect ā Electric devices like laundry irons, toasters, ovens, kettles, and heaters all operate by converting electrical energy into heat energy through a high-resistance heating element. This phenomenon is known as the heating effect of electric current or Joule heating.
The question asks for the specific year when the Delhi High Court issued a notice regarding a plea for 33% reservation for women lawyers in Bar Council elections. This is a factual question requiring knowledge of recent legal developments in India.
Correct Option: C) 2024
The Delhi High Court issued a notice regarding a plea for 33% reservation for women lawyers in Bar Council elections in January 2024. This was in response to a petition filed by a woman lawyer seeking such a reservation.
We need to find the original amount of money the man had. We can solve this by working backward from the final amount, or by setting up an equation based on the given percentages of loss and spending.
Man loses 20% of his money:
Amount lost \( = 20\% \text{ of } x = 0.20x \)
Remaining amount \( = x - 0.20x = 0.80x \)
Spends 25% of the remaining amount:
The remaining amount is \(0.80x\).
Amount spent \( = 25\% \text{ of } (0.80x) = 0.25 \times 0.80x = 0.20x \)
Amount left after spending \( = 0.80x - 0.20x = 0.60x \)
Equate the final amount with the given value:
We are given that he has ā¹480 left.
\[ 0.60x = 480 \]Solve for \(x\):
\[ x = \frac{480}{0.60} \] \[ x = \frac{480}{\frac{60}{100}} \] \[ x = \frac{480 \times 100}{60} \] \[ x = \frac{48000}{60} \] \[ x = 800 \]So, the original amount of money he had was ā¹800.
Correct Option: A) ā¹800
To find the average of the first 25 multiples of 3, we first need to identify the series of numbers. This series is an arithmetic progression (AP). The average of an arithmetic progression can be found using the formula: \[\text{Average} = \frac{\text{First Term} + \text{Last Term}}{2}\].
A) 39 ā The average of the first 25 multiples of 3 is 39, as calculated by taking the sum of the first and last terms and dividing by 2.
The problem presents a proportion, which means that the ratio of the first two numbers is equal to the ratio of the last two numbers. We need to set up this equality and solve for the unknown variable \(x\).
The given proportion is \(9.6 : 16.8 :: 18 : x\). This can be written as a fraction equality:
\[ \frac{9.6}{16.8} = \frac{18}{x} \]To solve for \(x\), we can cross-multiply:
\[ 9.6 \times x = 16.8 \times 18 \]Calculate the product on the right side:
\[ 16.8 \times 18 = 302.4 \]Now the equation becomes:
\[ 9.6x = 302.4 \]Divide both sides by 9.6 to find \(x\):
\[ x = \frac{302.4}{9.6} \]To simplify the division, we can multiply the numerator and denominator by 10 to remove the decimal points:
\[ x = \frac{3024}{96} \]Perform the division:
\[ x = 31.5 \]Correct Option: D) 31.5
The question asks about the number of categories under which the new 'Rashtriya Vigyan Puraskar' awards are given. To answer this, one needs to recall the recent government announcement regarding these awards.
Therefore, the 'Rashtriya Vigyan Puraskar' is given in four categories.
B) four ā The 'Rashtriya Vigyan Puraskar' is indeed structured into four distinct categories: Vigyan Ratna, Vigyan Shri, Vigyan Yuva-Shanti Swarup Bhatnagar, and Vigyan Team.
This problem requires the application of Newton's Second Law of Motion, which states that the force acting on an object is equal to the product of its mass and acceleration. The formula for this law is \(F = ma\).
The formula is:
\[ F = m \times a \]Therefore, the amount of force needed is 25 N.
Correct Option: C) 25 N is the correct answer, calculated directly from Newton's Second Law of Motion.