The question asks for the location of the 2024 G20 Summit. This requires knowledge of the G20 presidency rotation and the host cities for upcoming summits.
Correct Option: B) Rio de Janeiro, Brazil. Brazil holds the G20 presidency for 2024 and will host the summit in Rio de Janeiro.
We are given the simple interest (SI) and compound interest (CI) for 2 years at the same rate. We need to find the principal amount. The key idea is to use the relationship between SI and CI over two years, specifically that the difference between CI and SI for 2 years is the interest earned on the first year's simple interest.
Let the principal be \(P\), the rate of interest be \(R\) per annum, and the time be \(T = 2\) years.
The formula for Simple Interest (SI) is:
\[ \text{SI} = \frac{P \times R \times T}{100} \]Given \(\text{SI} = \text{Rs. } 40\) for 2 years:
\[ 40 = \frac{P \times R \times 2}{100} \]\[ P \times R = \frac{40 \times 100}{2} = 2000 \quad \text{(Equation 1)} \]The simple interest for 1 year would be half of the 2-year simple interest:
\[ \text{SI for 1 year} = \frac{40}{2} = \text{Rs. } 20 \]The formula for Compound Interest (CI) compounded annually for 2 years is:
\[ \text{CI} = P \left( \left(1 + \frac{R}{100}\right)^T - 1 \right) \]Alternatively, we can use the difference between CI and SI for 2 years. The difference between CI and SI for 2 years is the interest earned on the first year's simple interest. That is, the extra amount in CI comes from interest on the interest of the first year.
Difference \( = \text{CI} - \text{SI} = 42 - 40 = \text{Rs. } 2 \)
This difference of Rs. 2 is the simple interest on the simple interest of the first year (Rs. 20) for 1 year at rate \(R\).
\[ 2 = \frac{20 \times R \times 1}{100} \]Now, we can find the rate \(R\):
\[ 2 \times 100 = 20 \times R \]\[ R = \frac{200}{20} = 10\% \]Substitute the value of \(R\) into Equation 1:
\[ P \times R = 2000 \]\[ P \times 10 = 2000 \]\[ P = \frac{2000}{10} = 200 \]Thus, the principal amount is Rs. 200.
A) 200 — The principal amount is Rs. 200, calculated by first finding the rate of interest from the difference between CI and SI for 2 years, and then using the simple interest formula.
To solve this problem, we need to identify the highest and lowest numbers from the given list. Then, we extract the third digit of the highest number and the first digit of the lowest number. Finally, we add these two digits to find the resultant value.
A) 8 is the correct answer because the third digit of the highest number (941) is 1, and the first digit of the lowest number (741) is 7. Their sum is \(1 + 7 = 8\).
The problem requires us to reorder the digits of a given number in descending order and then identify the fifth digit from the right in the newly formed number.
Therefore, the fifth digit from the right in the new number is 6.
A) 6 — As determined in the step-by-step explanation, after arranging the digits in descending order to form the number 98764321, the fifth digit from the right is 6.
This question tests general knowledge about authors and their works. To answer correctly, one needs to identify the author associated with the specific book 'Breaking Rocks and Barriers'.
Correct Option: C) Sudipta Sengupta wrote the book 'Breaking Rocks and Barriers'. This book is an autobiography of her experiences as a woman geologist and mountaineer in India.
To solve this problem, we need to track Mr. C's movements step-by-step, noting the distance and direction for each segment. We can represent the movements on a 2D coordinate system or simply sum up the net displacement in the East-West and North-South directions. The final position relative to the starting point will tell us the shortest distance and direction needed to return to the start.
Correct Option: B) 4 km towards the West
To find the average temperature, we need to sum all the recorded temperatures and then divide by the number of days for which the temperatures were recorded. This is the standard formula for calculating the arithmetic mean.
Thus, the average temperature during these five days was 30°C.
B) 30°C is the correct average temperature calculated from the given data.
This problem involves calculating the cost price (CP) of an item when its selling price (SP) and percentage loss are known. Then, we need to find the new selling price required to achieve a desired percentage profit. We will use the standard formulas relating CP, SP, profit percentage, and loss percentage.
If there is a loss of 31%, it means the selling price is \(100\% - 31\% = 69\%\) of the cost price.
\[ \text{SP}_1 = \text{CP} \times \left(1 - \frac{\text{Loss \%}}{100}\right) \] \[ 483 = \text{CP} \times \left(1 - \frac{31}{100}\right) \] \[ 483 = \text{CP} \times \left(\frac{100 - 31}{100}\right) \] \[ 483 = \text{CP} \times \frac{69}{100} \]Now, solve for CP:
\[ \text{CP} = \frac{483 \times 100}{69} \] \[ \text{CP} = \frac{48300}{69} \] \[ \text{CP} = 700 \text{ Rs./m} \]To earn a profit of 34%, the new selling price should be \(100\% + 34\% = 134\%\) of the cost price.
\[ \text{SP}_2 = \text{CP} \times \left(1 + \frac{\text{Profit \%}}{100}\right) \] \[ \text{SP}_2 = 700 \times \left(1 + \frac{34}{100}\right) \] \[ \text{SP}_2 = 700 \times \left(\frac{100 + 34}{100}\right) \] \[ \text{SP}_2 = 700 \times \frac{134}{100} \] \[ \text{SP}_2 = 7 \times 134 \] \[ \text{SP}_2 = 938 \text{ Rs./m} \]Correct Option: D) 938
The problem requires us to identify the highest and lowest numbers from a given set of three-digit numbers. Then, we need to extract specific digits from these identified numbers and perform a subtraction operation as specified.
The resultant is -8.
D) −8 — As calculated, the result of subtracting the third digit of the highest number (9) from the first digit of the lowest number (1) is \(1 - 9 = -8\).
The question asks for the year the Dutch East India Company established its factory at Petapuli on the North Coromandel Coast. This is a factual question related to the history of European trading companies in India. Recalling key dates of European settlements is crucial for such questions.
A) 1606 is the correct year when the Dutch East India Company established its factory at Petapuli on the North Coromandel Coast.