The question asks about the specific discovery for which Paul Ehrlich received the Nobel Prize in Medicine in 1908. This requires knowledge of historical scientific achievements and their recognition.
Correct Option: C) Theoretical basis for immunology
Paul Ehrlich was awarded the Nobel Prize in Physiology or Medicine in 1908 for his contributions to immunology, particularly his side-chain theory, which provided a theoretical basis for understanding immunity and antibody formation. This work was fundamental to the development of modern immunology.
The question asks why removing desktop icons does not affect application functionality in Windows OS. This requires understanding the nature of desktop icons and how applications are stored and executed.
C) Desktop icons are only visual shortcuts and not the actual application files. This statement accurately explains why removing desktop icons does not impact the functionality of applications. The icons are merely pointers to the real application files, which reside elsewhere on the system.
We need to find the original cost of the item for Anand. We are given the final selling price by Bharath and his loss percentage, which allows us to calculate the price Bharath paid. This price is what Anand sold the item for, including his profit and repair expenses. Working backward, we can determine Anand's original cost.
A) The original cost of the item for Anand was ₹5,498.
The question asks for the longitudinal extent of India. This refers to the east-west spread of the country in terms of degrees of longitude. To answer this, one needs to recall the geographical coordinates of India's mainland.
Correct Option: A) 68°7′E to 97°25′E is the correct longitudinal extent of mainland India. The westernmost point is located in Gujarat (Guhar Moti, Kutch), and the easternmost point is in Arunachal Pradesh (Kibithu).
The question asks to identify a force that acts without physical contact and is responsible for the motion of celestial bodies. We need to evaluate each given option based on these two criteria: non-contact nature and relevance to celestial mechanics.
C) Gravitational force acts without physical contact and is the primary force governing celestial body motion, as described by Newton's Law of Universal Gravitation.
To find the monthly expenditure, we first need to calculate the amount saved. Since the saving percentage is given, we can find the saved amount. Then, by subtracting the saved amount from the total salary, we can determine the expenditure.
The amount saved is 46% of the monthly salary.
\[ \text{Amount Saved} = \frac{46}{100} \times \text{₹}6,150 \]\[ \text{Amount Saved} = 0.46 \times \text{₹}6,150 \]\[ \text{Amount Saved} = \text{₹}2,829 \]Expenditure is the remaining part of the salary after saving. So, Expenditure = Salary - Amount Saved.
\[ \text{Expenditure} = \text{Monthly Salary} - \text{Amount Saved} \]\[ \text{Expenditure} = \text{₹}6,150 - \text{₹}2,829 \]\[ \text{Expenditure} = \text{₹}3,321 \]Correct Option: A) ₹3,321
When a right triangle is rotated about one of its perpendicular sides, it forms a cone. The side about which it is rotated becomes the height of the cone, and the other perpendicular side becomes the radius of the base of the cone. The hypotenuse becomes the slant height. We need to identify the height and radius from the given sides and then use the formula for the volume of a cone.
The volume of the cone formed is \(432\pi \text{ cm}^3\).
Correct Option: D) 432π
To find the average score of the entire class, we need to calculate the total score of all students and then divide it by the total number of students. The total score can be found by summing the total scores of the two groups of students.
Correct Option: A) 66.4
To solve this problem, we will first assume B's salary to be a base value, say 100 units. Then, we will calculate A's salary based on the given percentage increase. Finally, we will determine the difference between A's and B's salaries and express this difference as a percentage of A's salary.
Assume B's salary:
Let B's salary be \( \\(100 \).
Calculate A's salary:
A's salary is 17% more than B's salary.
\[ \text{A's Salary} = \text{B's Salary} + 17\% \text{ of B's Salary} \]\[ = 100 + \frac{17}{100} \times 100 \]\[ = 100 + 17 \]\[ = \\)117 \]Find the difference in salaries:
The difference between A's salary and B's salary is:
\[ \text{Difference} = \text{A's Salary} - \text{B's Salary} \]\[ = 117 - 100 \]\[ = \$17 \]Calculate the percentage by which B's salary is less than A's salary:
To find by what percentage B's salary is less than A's, we need to express the difference as a percentage of A's salary.
\[ \text{Percentage Less} = \frac{\text{Difference}}{\text{A's Salary}} \times 100\% \]\[ = \frac{17}{117} \times 100\% \]\[ = 0.145299... \times 100\% \]\[ \approx 14.53\% \]Rounding off to two decimal places, the percentage is 14.53%.
C) 14.53% is the correct answer, as calculated by finding the difference in salaries and expressing it as a percentage of A's salary.
This problem involves calculating the marked price of an item given its cost price, the percentage discount allowed, and the percentage gain made. We will first calculate the Selling Price (SP) using the Cost Price (CP) and the gain percentage. Then, we will use the Selling Price and the discount percentage to find the Marked Price (MP).
The selling price is the cost price plus the gain. The formula for Selling Price is:
\[ \text{SP} = \text{CP} \times \left(1 + \frac{\text{Gain percentage}}{100}\right) \]\[ \text{SP} = 2107 \times \left(1 + \frac{89}{100}\right) \]\[ \text{SP} = 2107 \times \left(1 + 0.89\right) \]\[ \text{SP} = 2107 \times 1.89 \]\[ \text{SP} = 3982.23 \]The selling price is obtained after allowing a discount on the marked price. The formula relating SP, MP, and discount percentage is:
\[ \text{SP} = \text{MP} \times \left(1 - \frac{\text{Discount percentage}}{100}\right) \]\[ 3982.23 = \text{MP} \times \left(1 - \frac{79}{100}\right) \]\[ 3982.23 = \text{MP} \times \left(1 - 0.79\right) \]\[ 3982.23 = \text{MP} \times 0.21 \]The marked price of the water heater is ₹18,963.
Correct Option: D) ₹18,963