The question asks for the best strategy to serve buffet food to 150 guests in a family function, where guests will be standing and eating. This implies a need for convenience, hygiene, environmental consideration, and practicality for a large gathering.
Correct Option: A) Banana leaves on washable and reusable plastic plates. This option is ideal because the banana leaf provides a hygienic, traditional, and biodegradable surface for food, while the reusable plastic plate underneath offers the necessary sturdiness for guests to hold and eat while standing. This minimizes waste compared to fully disposable plastic plates and is more practical than heavy metal plates or flimsy banana leaves alone.
To find the volume of the cuboidal hall, we first need to determine its height. We are given the length and breadth, and a condition relating the sum of the areas of the floor and ceiling to the sum of the areas of the four walls. We will use these areas to find the height and then calculate the volume.
Identify given dimensions:
Let the height of the hall be \(H\) m.
Calculate the area of the floor and ceiling:
The area of the floor is \(L \times B\). The area of the ceiling is also \(L \times B\).
Calculate the area of the four walls:
The area of the four walls (lateral surface area) is given by \(2(L+B)H\).
Apply the given condition:
The sum of the areas of the floor and the ceiling is equal to the sum of the areas of the four walls.
Solve for the height (\(H\)):
\[ H = \frac{300}{50} = 6 \text{ m} \]Calculate the volume of the hall:
The volume of a cuboidal hall is \(L \times B \times H\).
C) 900 m³
To find the amount Hari saves, we first need to calculate the total percentage of his income spent on various expenses. Then, subtract this total percentage from 100% to find the percentage of income saved. Finally, calculate the actual amount saved by applying this percentage to his total monthly income.
Calculate total percentage spent: Hari spends 15% on rent, 8% on food, and 45% on other things.
\[ \text{Total percentage spent} = 15\% + 8\% + 45\% = 68\% \]Calculate percentage saved: Since the total income is 100%, the percentage saved is the total income percentage minus the total percentage spent.
\[ \text{Percentage saved} = 100\% - 68\% = 32\% \]Calculate the amount saved: Hari's monthly income is ₹42,000. The amount saved is 32% of his income.
\[ \text{Amount saved} = 32\% \text{ of } \₹42,000 \] \[ \text{Amount saved} = \frac{32}{100} \times 42,000 \] \[ \text{Amount saved} = 32 \times 420 \] \[ \text{Amount saved} = \₹13,440 \]Correct Option: D) ₹13,440
The field produced by n turns of a coil is _______ times that of a single turn.
The question asks about the relationship between the magnetic field produced by a coil with multiple turns and that produced by a single turn. We need to recall how the magnetic field strength depends on the number of turns in a coil.
Correct Option: B) n
The question asks to identify the river that originates from the confluence of the Chandra and Bhaga rivers, which themselves originate from either side of the Bara Lacha Pass. This is a direct factual question about the geography of Himalayan rivers.
Correct Option: D) Chenab — The Chenab River is indeed formed by the confluence of the Chandra and Bhaga rivers at Tandi in the Lahaul and Spiti district of Himachal Pradesh. Both Chandra and Bhaga originate from the glaciers on either side of the Bara Lacha Pass.
To determine the final direction Laxmi is facing, we need to trace her path and turns step-by-step. We will assume standard cardinal directions (North, South, East, West) for reference.
By the end of her walk, after the last turn, she is facing South.
Correct Option: A) South
If x = 5, then find the value of 16 × x × \(\sqrt{x^{3}-x^{2}}\).
To find the value of the given expression, we need to substitute the value of \(x\) into the expression and then simplify it step-by-step using basic arithmetic operations and properties of square roots.
Substitute the value of \(x\):
The given expression is \(16 \times x \times \sqrt{x^{3}-x^{2}}\).
We are given \(x = 5\).
Substitute \(x = 5\) into the expression:
\[ 16 \times 5 \times \sqrt{5^{3}-5^{2}} \]Calculate the terms inside the square root:
First, calculate \(5^3\) and \(5^2\):
Now, substitute these values back into the expression inside the square root:
\[ 125 - 25 = 100 \]Calculate the square root:
Now find the square root of 100:
\[ \sqrt{100} = 10 \]Multiply the remaining terms:
Substitute the calculated square root back into the main expression:
\[ 16 \times 5 \times 10 \]Perform the multiplication:
Multiply the numbers:
\[ 16 \times 5 = 80 \]\[ 80 \times 10 = 800 \]Thus, the value of the expression is 800.
D) 800 — The step-by-step calculation leads directly to 800.
The given line graph shows the sale of a shopkeeper (in thousands) from the year 2016 to 2022. Study the graph and answer the question that follows.
The sale in 2020 is what percentage of sale in 2021?
To determine what percentage the sale in 2020 is of the sale in 2021, we need to use the formula for percentage calculation.
\[ \text{Percentage} = \left( \frac{\text{Sale in 2020}}{\text{Sale in 2021}} \right) \times 100 \]
Substitute the values:
\[ \text{Percentage} = \left( \frac{450}{880} \right) \times 100 \]
Calculate the fraction:
\[ \frac{450}{880} = 0.51136 \]
Multiply by 100 to convert to a percentage:
\[ 0.51136 \times 100 = 51.136\% \]
Round off to two decimal places to get 51.13%.
Correct Option: D) 51.13%
The question asks to identify the Veda known as the 'Veda of Sacrificial Formulas' which contains prose formulas and verses for various rites. This requires knowledge of the primary characteristics and content of each of the four Vedas.
A) Yajurveda is known as the 'Veda of Sacrificial Formulas'. It is a ritual Veda, containing prose mantras and verses used by the Adhvaryu priest for performing sacrifices (yajnas).
The problem requires us to modify a given set of three-digit numbers and then check a specific condition for each modified number. First, we add 3 to the first digit of every number. Then, for each new number, we check if its first digit is exactly divisible by its second digit.
365, 125, 486, 548, 654, 552, 354
The new set of numbers is: 665, 425, 786, 848, 954, 852, 654.
The condition is: "the first digit will be exactly divisible by the second digit".
The numbers that satisfy the condition are 665, 425, and 848. There are 3 such numbers.
Correct Option: B) Three