To determine the direction of the kitchen, we need to visualize the house's orientation and Pavi's perspective upon entering. We'll use standard cardinal directions (North, South, East, West) to establish the layout.
Correct Option: A) South
The problem provides a coded word "LEGEND" and its numerical representation. We need to decipher the coding pattern and then apply the same pattern to find the code for "TREND". The most common coding patterns involve assigning numerical values to letters based on their alphabetical position.
The word is LEGEND and its code is 12575144.
If we concatenate these numerical positions, we get 12575144. This matches the given code. So, the pattern is to replace each letter with its corresponding alphabetical position.
Concatenating these values gives 20185144.
Correct Option: D) 20185144 is the correct code for TREND based on the established pattern.
The value of 22 – {23 – [24 – (27 – \(\overline{29-30}\))]} is:
To solve this problem, we need to apply the order of operations, often remembered by the acronym BODMAS/PEMDAS. This means we evaluate expressions in the following order: Bar (Vinculum), Brackets (Parentheses, Curly Braces, Square Brackets), Orders (Exponents), Division and Multiplication (from left to right), Addition and Subtraction (from left to right).
The innermost operation is \( \overline{29-30} \).
\[ 29 - 30 = -1 \]The expression becomes:
\[ 22 - \{23 - [24 - (-1)]\} \]Next, we evaluate \( 24 - (-1) \).
\[ 24 - (-1) = 24 + 1 = 25 \]The expression becomes:
\[ 22 - \{23 - 25\} \]Next, we evaluate \( 23 - 25 \).
\[ 23 - 25 = -2 \]The expression becomes:
\[ 22 - (-2) \]Finally, we evaluate \( 22 - (-2) \).
\[ 22 - (-2) = 22 + 2 = 24 \]Wait, let's recheck the question and my calculation. The question is 22 – {23 – [24 – (27 – \(\overline{29-30}\))]} . I missed a '27'. Let's restart carefully.
The innermost operation is \( \overline{29-30} \).
\[ 29 - 30 = -1 \]The expression becomes:
\[ 22 - \{23 - [24 - (27 - (-1))]\} \]Next, we evaluate \( 27 - (-1) \).
\[ 27 - (-1) = 27 + 1 = 28 \]The expression becomes:
\[ 22 - \{23 - [24 - 28]\} \]Next, we evaluate \( 24 - 28 \).
\[ 24 - 28 = -4 \]The expression becomes:
\[ 22 - \{23 - (-4)\} \]Next, we evaluate \( 23 - (-4) \).
\[ 23 - (-4) = 23 + 4 = 27 \]The expression becomes:
\[ 22 - 27 \]Finally, we evaluate \( 22 - 27 \).
\[ 22 - 27 = -5 \]Correct Option: D) -5 is the correct answer after applying the order of operations (BODMAS/PEMDAS) carefully.
The question asks to identify the river that flows through the city of Surat. This requires knowledge of the geography of major Indian cities and their associated rivers.
Correct Option: C) Tapi
To find the number of diagonals in a polygon with \(n\) sides (an \(n\)-gon), we use a standard formula derived from combinatorics. Each vertex can be connected to every other vertex, but we must subtract the sides of the polygon and avoid counting each diagonal twice.
C) 299 is the correct number of diagonals in a 26-gon.
The question asks to identify the type of fuel formed underground from decomposed organic matter. We need to recall the definitions and formation processes of the given options.
Correct Option: B) fossil fuel. Fossil fuels are formed from the remains of dead organisms buried under layers of sediment and rock, subjected to high pressure and temperature over millions of years.
To find the heat energy generated, we will use Joule's law of heating, which states that the heat produced in a conductor is directly proportional to the square of the current, the resistance of the conductor, and the time for which the current flows. The formula for heat generated is \(H = I^2 R t\). We will then convert the energy from Joules to calories using the conversion factor \(1 \text{ calorie} = 4.18 \text{ Joules}\).
Since the standard unit for time in physics formulas is seconds, we convert 1 minute to seconds.
\[ t = 1 \text{ min} \times 60 \frac{\text{s}}{\text{min}} = 60 \text{ s} \]Using Joule's law of heating, \(H = I^2 R t\):
\[ H = (0.3 \text{ A})^2 \times (418 \text{ \Omega}) \times (60 \text{ s}) \]\[ H = 0.09 \times 418 \times 60 \]\[ H = 0.09 \times 25080 \]\[ H = 2257.2 \text{ J} \]We know that \(1 \text{ calorie} = 4.18 \text{ Joules}\). Therefore, to convert Joules to calories, we divide by 4.18.
\[ H_{\text{cal}} = \frac{2257.2 \text{ J}}{4.18 \frac{\text{J}}{\text{cal}}} \]\[ H_{\text{cal}} = 540 \text{ cal} \]B) 540 cal is the correct answer. The heat energy generated is 2257.2 Joules, which converts to 540 calories.
The question asks to identify the element that, when combined with copper and zinc, forms bronze. This is a question about the composition of common alloys, specifically bronze.
A) Sn is the correct answer. Bronze is an alloy primarily of copper, usually with tin (\(\text{Sn}\)) as the main additive. While zinc is also mentioned, tin is the defining element that forms bronze with copper.
15 × 3 – 9 × (5² ÷ 5) ÷ 5 ÷ (1 ÷ 3) + 10 =?
To solve this problem, we need to apply the BODMAS/PEMDAS rule, which dictates the order of operations: Brackets (Parentheses), Orders (Exponents), Division, Multiplication, Addition, Subtraction. We will evaluate the expression step-by-step following this order.
First, evaluate the terms inside the brackets (parentheses) and exponents.
\[ 5^2 = 25 \]Substitute this value back into the expression:
\[ 15 \times 3 - 9 \times (25 \div 5) \div 5 \div (1 \div 3) + 10 \]Now, evaluate the remaining bracket:
\[ (25 \div 5) = 5 \]Substitute this value back:
\[ 15 \times 3 - 9 \times 5 \div 5 \div (1 \div 3) + 10 \]Next, handle the division \( (1 \div 3) \):
\[ (1 \div 3) = \frac{1}{3} \]Substitute this back:
\[ 15 \times 3 - 9 \times 5 \div 5 \div \frac{1}{3} + 10 \]Now perform all multiplications and divisions from left to right. Remember that dividing by a fraction is equivalent to multiplying by its reciprocal.
First, \( 15 \times 3 \):
\[ 15 \times 3 = 45 \]Next, \( 9 \times 5 \):
\[ 9 \times 5 = 45 \]The expression becomes:
\[ 45 - 45 \div 5 \div \frac{1}{3} + 10 \]Next, \( 45 \div 5 \):
\[ 45 \div 5 = 9 \]The expression becomes:
\[ 45 - 9 \div \frac{1}{3} + 10 \]Now, \( 9 \div \frac{1}{3} \). This is \( 9 \times 3 \):
\[ 9 \times 3 = 27 \]The expression becomes:
\[ 45 - 27 + 10 \]Finally, perform additions and subtractions from left to right.
\( 45 - 27 \):
\[ 45 - 27 = 18 \]Then, \( 18 + 10 \):
\[ 18 + 10 = 28 \]A) The final calculated value is 28.
We need to analyze the given statement and determine which of the assumptions logically follows from it. An implicit assumption is something that is not directly stated but must be true for the statement to make sense or be valid.
Correct Option: B) Only I is implicit.