The question asks about the maximum number of electrons that can be accommodated in the K shell of an atom. This relates to the electron shell model and the rules for electron distribution in atoms, specifically Bohr's model and the formula for calculating maximum electrons in a shell.
Therefore, the K shell can accommodate a maximum of 2 electrons.
Correct Option: C) 2
If x + y = 15 and xy = 45, then what will be the value of x2 + y2?
This problem can be solved by using the algebraic identity for the square of a sum of two variables. Given the sum of two variables \((x+y)\) and their product \((xy)\), we need to find the sum of their squares \((x^2 + y^2)\). The relevant identity is \((x+y)^2 = x^2 + y^2 + 2xy\).
We are given the following equations:
\[ x + y = 15 \quad \text{(Equation 1)} \]\[ xy = 45 \quad \text{(Equation 2)} \]We need to find the value of \(x^2 + y^2\).
Recall the algebraic identity:
\[ (x+y)^2 = x^2 + y^2 + 2xy \]Rearrange the identity to solve for \(x^2 + y^2\):
\[ x^2 + y^2 = (x+y)^2 - 2xy \]Substitute the given values from Equation 1 and Equation 2 into the rearranged identity:
\[ x^2 + y^2 = (15)^2 - 2(45) \]Calculate the square of 15:
\[ (15)^2 = 225 \]Calculate the product of 2 and 45:
\[ 2(45) = 90 \]Substitute these values back into the equation:
\[ x^2 + y^2 = 225 - 90 \]Perform the subtraction:
\[ x^2 + y^2 = 135 \]B) The value of \(x^2 + y^2\) is 135.
The question asks us to identify the relationship between the first two words and then apply the same relationship to the third word to find the fourth word. This is a common type of analogy question found in competitive exams.
Therefore, "Prayer" is the most appropriate word to complete the analogy.
Correct Option: D) Prayer is the primary activity or purpose associated with a Temple, just as Entertainment is the primary activity or purpose associated with a Theater.
To find the profit percentage, we need to determine the cost price (CP), marked price (MP), and selling price (SP). We can assume a convenient cost price, then calculate the marked price based on the given percentage above CP. After that, we apply the discount percentage to the marked price to find the selling price. Finally, the profit percentage can be calculated using the formula: \[\text{Profit Percentage} = \frac{\text{SP} - \text{CP}}{\text{CP}} \times 100\].
Assume Cost Price (CP):
Let the Cost Price (CP) of the article be \(₹100\).
Calculate Marked Price (MP):
The shopkeeper marks his articles 25% above the cost price.
\[ \text{MP} = \text{CP} + (25\% \text{ of CP}) \]\[ \text{MP} = 100 + \left(\frac{25}{100} \times 100\right) \]\[ \text{MP} = 100 + 25 = ₹125 \]Calculate Selling Price (SP):
A discount of 5% is allowed on the Marked Price.
\[ \text{Discount Amount} = 5\% \text{ of MP} \]\[ \text{Discount Amount} = \frac{5}{100} \times 125 \]\[ \text{Discount Amount} = \frac{625}{100} = ₹6.25 \]\[ \text{SP} = \text{MP} - \text{Discount Amount} \]\[ \text{SP} = 125 - 6.25 = ₹118.75 \]Calculate Profit Percentage:
Profit is the difference between Selling Price and Cost Price.
\[ \text{Profit} = \text{SP} - \text{CP} \]\[ \text{Profit} = 118.75 - 100 = ₹18.75 \]\[ \text{Profit Percentage} = \frac{\text{Profit}}{\text{CP}} \times 100 \]\[ \text{Profit Percentage} = \frac{18.75}{100} \times 100 \]\[ \text{Profit Percentage} = 18.75\% \]Correct Option: D) 18.75
The profit percentage is 18.75%.
The official languages of the Indian Union are mentioned in which Schedule of the Constitution of India?
The question asks about the Schedule of the Indian Constitution that lists the official languages. To answer this, one needs to recall the content of the various Schedules of the Constitution.
Correct Option: B) 8 th — The Eighth Schedule of the Indian Constitution lists the official languages. Initially, it had 14 languages, and currently, it recognizes 22 languages.
Which of the following is the water image of the above word picture?
To find the water image of a word, we need to reflect the image vertically as if it were mirrored along a horizontal axis. This involves reversing the orientation of each letter from top to bottom.
Correct Option: B) The water image correctly reflects the original word vertically.
The question asks whether the sea route between Mumbai and Muscat is much cheaper than the road route. We need to determine if the given statements provide sufficient information to answer this specific question about cost comparison.
A) Both statements 1 and 2 together are not sufficient.
As established, neither statement provides any information about the cost of travel. Statement 1 talks about the availability of routes, and Statement 2 talks about the speed of travel. Cost is an entirely different parameter that is not addressed by either statement or their combination.
The question asks to identify the first venture launched under the Global Initiative of Academic Networks (GIAN) program in January 2018. This requires specific knowledge about the GIAN program's initiatives and their launch dates.
Correct Option: C) Development of Affordable Urban Plans Using Remote Sensing and Geographic Information Systems. This was the first venture launched under the GIAN program in January 2018. It was a course offered by IIT Kharagpur, focusing on leveraging modern technologies for urban planning, which aligns with the GIAN program's goal of bringing international expertise to address national challenges.
To identify which of the given options is not a transverse wave, we need to understand the definition of transverse and longitudinal waves. A transverse wave is one where the oscillations of the medium are perpendicular to the direction of wave propagation. A longitudinal wave is one where the oscillations of the medium are parallel to the direction of wave propagation.
Correct Option: D) Sound wave
Which of the following Asian countries joined the Australia Group as the 43rd member, on 19 January 2018?
The question asks to identify the Asian country that became the 43rd member of the Australia Group on January 19, 2018. This is a factual question related to international relations and non-proliferation regimes.
B) India joined the Australia Group as the 43rd member on January 19, 2018. This membership was a recognition of India's commitment to non-proliferation and its robust export control system.
