The question asks about the specific social service for which Pooja Sharma was recognized by BBC in December 2024 as one of the 100 Most Inspiring Women. This requires knowledge of current affairs and notable social work.
B) Performing last rites for unclaimed bodies. Pooja Sharma is widely known for her humanitarian work of performing the last rites for unclaimed bodies, particularly during challenging times like the COVID-19 pandemic. This compassionate service earned her a spot on BBC's 100 Most Inspiring Women list in December 2024.
Simplify the following:
(\( \frac{96}{36} \))(91 + 17) - 103
To simplify the given expression, we need to follow the order of operations, often remembered by the acronym PEMDAS/BODMAS (Parentheses/Brackets, Exponents/Orders, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)).
Let's apply these steps:
The given expression is: \( \left( \frac{96}{36} \right)(91 + 17) - 103 \)
Step 1: Simplify the expression inside the parentheses.
\[ 91 + 17 = 108 \]The expression now becomes:
\[ \left( \frac{96}{36} \right)(108) - 103 \]Step 2: Simplify the fraction.
We can simplify \( \frac{96}{36} \) by dividing both the numerator and the denominator by their greatest common divisor. Both are divisible by 12.
\[ \frac{96 \div 12}{36 \div 12} = \frac{8}{3} \]The expression now becomes:
\[ \left( \frac{8}{3} \right)(108) - 103 \]Step 3: Perform the multiplication.
\[ \frac{8}{3} \times 108 \]We can divide 108 by 3 first:
\[ 108 \div 3 = 36 \]Now, multiply 8 by 36:
\[ 8 \times 36 = 288 \]The expression now becomes:
\[ 288 - 103 \]Step 4: Perform the subtraction.
\[ 288 - 103 = 185 \]Thus, the simplified value of the expression is 185.
D) 185 is the correct answer, as derived from the step-by-step simplification.
Simplify:
\(\frac{\sqrt{0.028224}}{\sqrt{0.000784}}\)
To simplify the given expression, we will first combine the two square roots into a single square root of a fraction. Then, we will remove the decimal points by multiplying the numerator and denominator by an appropriate power of 10. Finally, we will simplify the resulting fraction and find its square root.
The given expression is:
\[ \frac{\sqrt{0.028224}}{\sqrt{0.000784}} \]We can combine the two square roots using the property \[\frac{\sqrt{a}}{\sqrt{b}} = \sqrt{\frac{a}{b}}\]:
\[ \sqrt{\frac{0.028224}{0.000784}} \]To remove the decimal points, count the number of decimal places in both the numerator and the denominator. Both have 6 decimal places. So, we multiply the numerator and denominator by \(10^6\) (or \(1,000,000\)):
\[ \sqrt{\frac{0.028224 \times 1,000,000}{0.000784 \times 1,000,000}} = \sqrt{\frac{28224}{784}} \]Now, we need to simplify the fraction \(\frac{28224}{784}\). We can perform division:
\[ \frac{28224}{784} \]Let's perform the division:
So, \(\frac{28224}{784} = 36\).
Substitute this back into the square root expression:
\[ \sqrt{36} \]Calculate the square root:
\[ \sqrt{36} = 6 \]C) 6 is the correct answer, as derived from the simplification steps.
To solve this number series problem, we need to identify the pattern or rule that governs the sequence of numbers. We will look for common differences, ratios, or other mathematical relationships between consecutive terms.
Therefore, the next number in the series is 53.
The problem involves finding the sum of two specific numbers from a set of four numbers given their ratio and their total sum. We will use the concept of ratios to represent the numbers in terms of a common multiple, find the value of that multiple using the given total sum, and then calculate the required sum.
Correct Option: A) 3025
To find the median of a given set of data, the first step is to arrange the data in ascending or descending order. Once ordered, the median is the middle value if the number of data points is odd. If the number of data points is even, the median is the average of the two middle values.
A) 57 — As determined in the step-by-step explanation, the median of the given data set is 57.
What is India's rank in Transparency International's 2024 Corruption Perceptions Index?
The question asks us to identify India's rank in Transparency International's 2024 Corruption Perceptions Index (CPI). We need to recall India's position, its CPI score and the purpose of the index.
Understand the Corruption Perceptions Index:
The Corruption Perceptions Index (CPI) is published annually by Transparency International, a global organisation working to combat corruption.
The index ranks countries and territories according to their perceived levels of public-sector corruption, based on assessments by experts and businesspeople.
Understand the scoring system:
Identify India's rank in the 2024 index:
According to Transparency International's 2024 Corruption Perceptions Index, released in February 2025, India ranked 96th among 180 countries and territories.
India received a CPI score of 38 out of 100.
Compare India's performance with the previous year:
In the 2023 Corruption Perceptions Index, India ranked 93rd with a score of 39.
In the 2024 index, India's rank declined to 96th, while its score decreased to 38.
This indicates a slight deterioration in India's perceived public-sector corruption score.
Determine the correct answer:
India secured the 96th position in Transparency International's 2024 Corruption Perceptions Index.
Therefore, Option A is the correct answer.
Correct Option: A) 96th — India ranked 96th out of 180 countries and territories in Transparency International's 2024 Corruption Perceptions Index, with a score of 38 out of 100. The index measures perceived levels of public-sector corruption. Hence, Option A is the correct answer.
B) 93rd: This is incorrect because India ranked 93rd in the 2023 Corruption Perceptions Index, not the 2024 index.
C) 98th: This is incorrect because India's rank in the 2024 Corruption Perceptions Index was 96th, not 98th.
D) 95th: This is incorrect because India secured the 96th position in the 2024 index, not the 95th position.
The problem asks for the average of the remaining two numbers given the sum of five numbers, the average of the first two, and the value of the third number. We will use the definition of average to find the sum of the first two numbers, then subtract the known sums from the total sum to find the sum of the remaining two numbers. Finally, we will calculate their average.
The average of two numbers is their sum divided by 2. So, the sum of the first two numbers is:
\[ \text{Sum of first two numbers} = \text{Average} \times \text{Number of terms} \]\[ \text{Sum of first two numbers} = 77 \times 2 = 154 \]This is the sum of the first two numbers plus the third number:
\[ \text{Sum of first three numbers} = 154 + 128 = 282 \]The sum of all five numbers is 655. If we subtract the sum of the first three numbers from the total sum, we get the sum of the remaining two numbers:
\[ \text{Sum of remaining two numbers} = \text{Total sum of five numbers} - \text{Sum of first three numbers} \]\[ \text{Sum of remaining two numbers} = 655 - 282 = 373 \]The average of these two numbers is their sum divided by 2:
\[ \text{Average of remaining two numbers} = \frac{\text{Sum of remaining two numbers}}{\text{Number of terms}} \]\[ \text{Average of remaining two numbers} = \frac{373}{2} = 186.5 \]B) 186.5 is the correct average of the remaining two numbers.
The question asks for the correct definition of judicial review in India. Judicial review is a fundamental concept in constitutional law, empowering the judiciary to ensure that legislative and executive actions comply with the Constitution.
A) the power of the judiciary to pronounce upon the constitutionality of laws and executive orders. This option correctly defines judicial review as the power of the judiciary to examine whether laws passed by the legislature and orders issued by the executive are in conformity with the provisions of the Constitution. If found to be in violation, they can be declared unconstitutional.