The question asks to identify a specific non-traditional audio broadcast channel launched by All India Radio (AIR) in January 2016, focusing on classical music (Carnatic and Hindustani) and available via the Internet and 'Free Dish'. This requires knowledge of current affairs related to Indian public broadcasting.
C) Ragam is the correct answer. All India Radio (AIR) launched 'AIR Ragam' in January 2016. It is a dedicated 24x7 channel for Indian classical music (both Carnatic and Hindustani), available on the Internet and through DD Free Dish. The name 'Ragam' directly relates to the core content of the channel, which is classical music.
This problem involves tracking directional changes based on rotations. We need to determine the net rotation by combining the counterclockwise and clockwise movements and apply this net rotation to the initial direction.
Therefore, Sunayata is now facing North.
D) North — After a net clockwise rotation of 90° from the initial West direction, the final direction is North.
We need to find the difference in the lengths of two parallel chords in a circle. We are given the radius of the circle and the perpendicular distances of the chords from the center. We can use the Pythagorean theorem to find the length of each chord.
Understand the geometry: A chord in a circle, the radius drawn to its endpoint, and the perpendicular from the center to the chord form a right-angled triangle. The perpendicular from the center bisects the chord.
Calculate the length of the first chord:
Let the radius of the circle be \(R = 10 \text{ cm}\).
Let the distance of the first chord from the center be \(d_1 = 6 \text{ cm}\).
Let half the length of the first chord be \(l_1\).
Using the Pythagorean theorem:
Calculate the length of the second chord:
Let the distance of the second chord from the center be \(d_2 = 8 \text{ cm}\).
Let half the length of the second chord be \(l_2\).
Using the Pythagorean theorem:
Find the difference in lengths:
Difference \( = \text{Length of first chord} - \text{Length of second chord} \) (or vice versa, as we are looking for the absolute difference)
Difference \( = 16 \text{ cm} - 12 \text{ cm} \)
Difference \( = 4 \text{ cm}\).
B) 4 cm
To solve this problem, we need to calculate the cost price of each portion of the land, the selling price of the portions sold at a loss and profit, and then determine the required selling price for the remaining portion to achieve the overall desired profit.
The total cost price of the land is Rs 3,00,000. The desired total profit is 15%.
\[ \text{Desired Total Selling Price} = \text{Cost Price} \times (1 + \text{Profit Percentage}) \]\[ = 3,00,000 \times (1 + 0.15) \]\[ = 3,00,000 \times 1.15 \]\[ = \text{Rs } 3,45,000 \]Cost price of remaining land: \(0.35 \times 3,00,000 = \text{Rs } 1,05,000\)
The sum of the selling prices of the first two portions is:
\[ \text{Total Selling Price}_\text{first two portions} = 56,250 + 1,50,000 \]\[ = \text{Rs } 2,06,250 \]To achieve a total selling price of Rs 3,45,000, the remaining portion must be sold for:
\[ \text{Required Selling Price}_\text{remaining} = \text{Desired Total Selling Price} - \text{Total Selling Price}_\text{first two portions} \]\[ = 3,45,000 - 2,06,250 \]\[ = \text{Rs } 1,38,750 \]Correct Option: B) Rs 1,38,750
The question asks about the total number of Upanishads and the number of principal (main) Upanishads. This is a factual question related to ancient Indian scriptures, specifically the Upanishads, which are part of the Vedas.
Correct Option: A) 108, 11
The problem asks us to identify which of the given assumptions are implicit in the statement. An implicit assumption is something that is not explicitly stated but must be true for the statement to make sense or be valid. We need to analyze the statement and each assumption to determine if the assumption is a necessary underlying condition.
A) Only assumption I is implicit. This is correct because the act of reserving a ticket in April for travel in May directly implies that advance booking (at least one month) is possible. Assumption II is not necessarily true based on the statement.
The question asks to identify activities that involve voluntary muscles. Voluntary muscles are those that we can consciously control. Understanding the distinction between voluntary and involuntary muscle actions is key to answering this question.
C) A and D
To find the relative mass of a compound like Carbon Monoxide (CO), we need to sum the relative atomic masses of all the atoms present in its chemical formula. The relative atomic masses of individual elements are standard values.
Substitute the values:
\[ \text{Relative mass of CO} = 12 + 16 = 28 \]Therefore, the relative mass of CO is 28.
A) 28 is the correct answer because it is the sum of the relative atomic masses of one carbon atom (12) and one oxygen atom (16).
This problem involves work and time. We need to calculate the individual work rates, combine them to find the joint work rate, and then determine the time taken to complete half the work.
C) 6
To find the square root of 8281, we can use a combination of estimation and checking the last digit of the number. We will first estimate the range of the square root and then use the unit digit to narrow down the possibilities among the given options.
Therefore, the square root of 8281 is 91.
B) 91 — As calculated, \(91^2 = 8281\).