The question asks to identify the Delhi Sultan who famously shifted his capital from Delhi to Daulatabad. This is a direct factual question from medieval Indian history, specifically concerning the Tughlaq dynasty.
Correct Option: D) Muhammad-bin-Tughlaq is correctly identified as the Sultan who shifted his capital from Delhi to Daulatabad (Devagiri). This was one of his most famous and controversial administrative experiments, which ultimately failed.
To calculate the energy consumed by an electric appliance, we need to multiply its power rating by the duration of its usage. The energy consumed is typically measured in kilowatt-hours (kWh), which is also known as a "unit" of electricity. We will convert the given power from watts to kilowatts and the time from hours to hours (it's already in hours) to find the energy in kWh.
Since 1 kW = 1000 W, we divide the power in watts by 1000 to get kilowatts.
\[ P \text{ (in kW)} = \frac{750 \text{ W}}{1000} = 0.75 \text{ kW} \]Energy consumed (\(E\)) is the product of power (\(P\)) and time (\(T\)).
\[ E = P \times T \]\[ E = 0.75 \text{ kW} \times 8 \text{ hours} \]\[ E = 6 \text{ kWh} \]One kilowatt-hour (kWh) is equivalent to one unit of electricity.
\[ 1 \text{ kWh} = 1 \text{ unit} \]\[ E = 6 \text{ units} \]A) 6 units is the correct answer because the energy consumed is calculated as power (in kW) multiplied by time (in hours), which gives 0.75 kW * 8 hours = 6 kWh, or 6 units.
To find the Least Common Multiple (LCM) of two numbers, we can use the prime factorization method. First, find the prime factorization of each number. Then, for each prime factor, take the highest power that appears in either factorization. The product of these highest powers will be the LCM.
Correct Option: A) \(12 \times 6 \times 7\)
This option evaluates to \(504\), which is the correct LCM of 72 and 84.
The question asks for the color of a Sunflower. We need to determine which statement(s) provide enough information to deduce this. The actual color of a sunflower is yellow. We need to find a statement that tells us what 'yellow' is called.
D) Data in II alone is sufficient. Statement II directly tells us that "Yellow is called purple." Since the actual color of a sunflower is yellow, its color, according to the given coding, would be purple. Thus, Statement II alone is sufficient.
The question asks about the primary material used to construct solar cells. This requires knowledge of the fundamental components of photovoltaic devices.
Correct Option: C) Silicon is the most common material used in the manufacturing of solar cells due to its semiconductor properties, efficiency, and availability.
This problem involves calculating the total number of students in a class given the mean scores of boys, girls, and the overall mean score. We will use the formula for the weighted average (overall mean) to find the number of girls, and then add it to the number of boys to get the total number of students.
The overall mean score is calculated as the sum of the total scores of boys and girls divided by the total number of students.
\[ \bar{X} = \frac{(N_b \times \bar{X}_b) + (N_g \times \bar{X}_g)}{N_b + N_g} \]Multiply both sides by \((28 + N_g)\):
\[ 13.1 (28 + N_g) = 350 + 14.5 N_g \]\[ (13.1 \times 28) + (13.1 \times N_g) = 350 + 14.5 N_g \]\[ 366.8 + 13.1 N_g = 350 + 14.5 N_g \]Subtract \(13.1 N_g\) from both sides:
\[ 366.8 = 350 + 14.5 N_g - 13.1 N_g \]\[ 366.8 = 350 + 1.4 N_g \]Subtract 350 from both sides:
\[ 366.8 - 350 = 1.4 N_g \]\[ 16.8 = 1.4 N_g \]Divide by 1.4 to find \(N_g\):
\[ N_g = \frac{16.8}{1.4} \]\[ N_g = 12 \]Total students = Number of boys + Number of girls
\[ \text{Total students} = N_b + N_g = 28 + 12 = 40 \]C) 40 is the total number of students in the class.
The question asks about the denomination of the coin introduced by the Reserve Bank of India (RBI) to commemorate MG Ramachandran's birth centenary. This is a factual question related to commemorative coins issued by the RBI.
B) 100
The Reserve Bank of India (RBI) introduced a commemorative coin of Rs. 100 denomination to mark the birth centenary of MG Ramachandran in 2017. This coin featured a portrait of MGR on one side.
The diagram provided is a representation of an element's symbol. Recognizing the symbol is key to identifying the correct element.
Correct Option: B) Mercury
The question asks to identify the true/false statements regarding the speed of sound in Oxygen gas and distilled water at 25 °C. To answer this, we need to recall the typical speeds of sound in these media and compare them with the given values.
C) Neither A nor B is true. Both statements incorrectly state the speed of sound by using kilometers per second (km/s) instead of meters per second (m/s).
To find who is standing in the middle of five people arranged by height, we need to determine the exact order of all five individuals from shortest to tallest (or vice versa). We will evaluate each statement and combine them to see if a unique middle person can be identified.
Correct Option: A) Statements 1, 2, 3 and 4 together are sufficient