The question asks to identify the recipient of the Padmapani Lifetime Achievement Award for Indian cinema in January 2025. This requires knowledge of recent awards and recognition in the Indian film industry.
Correct Option: B) Sai Paranjpye received the Padmapani Lifetime Achievement Award for Indian cinema in January 2025. She is a renowned director and screenwriter known for her distinctive films like Sparsh (1980) and Chashme Buddoor (1981).
This problem involves a series of transactions with profits and losses. We need to work backward from the final selling price to determine the original cost for Anand. We will use the formulas for calculating selling price given cost price and profit/loss percentage.
B) 6,231 — As calculated, Anand's original cost was ₹6,231.
The question asks for the specific year when English education was formally introduced in India by the British. This requires knowledge of key historical policies and figures related to education during the British Raj.
Correct Option: B) 1835
English education was formally introduced in India by the British in 1835. This was primarily due to Lord Macaulay's Minute on Indian Education (1835), which argued for the promotion of European literature and science through the medium of English. Subsequently, the English Education Act of 1835 was passed, making English the official language of government and the medium of instruction in higher education.
Who won the Album of the Year at the 67th Annual Grammy Awards in 2025?
Billie Eilish – Hit Me Hard and Soft
Beyoncé – Cowboy Carter
Taylor Swift – The Tortured Poets Department
Sabrina Carpenter – Short n' Sweet
The question asks us to identify the artist and album that won the Album of the Year award at the 67th Annual Grammy Awards in 2025. This is a current affairs question related to international music awards and achievements.
Understand the Grammy Awards:
The Grammy Awards are prestigious international music awards presented by the Recording Academy to recognise outstanding achievements in the music industry.
Album of the Year is one of the four major general-field Grammy categories.
Identify the event:
Identify the winning artist and album:
Beyoncé won the Album of the Year award for her album Cowboy Carter.
The album was released in March 2024 and incorporates country music alongside other American musical traditions.
Understand the significance of the achievement:
The award marked Beyoncé's first Grammy victory in the Album of the Year category.
She also won Best Country Album for Cowboy Carter at the same ceremony, becoming the first Black woman to win that category.
Determine the correct answer:
Among the given options, Beyoncé's Cowboy Carter was the album that received the Album of the Year award at the 67th Annual Grammy Awards in 2025.
Therefore, Beyoncé – Cowboy Carter is the correct answer.
Correct Option: B) Beyoncé – Cowboy Carter — Beyoncé won Album of the Year for Cowboy Carter at the 67th Annual Grammy Awards held on February 2, 2025. This marked her first victory in the prestigious Album of the Year category. Hence, Option B is the correct answer.
A) Billie Eilish – Hit Me Hard and Soft: This is incorrect because Billie Eilish's album Hit Me Hard and Soft was nominated for Album of the Year but did not win the award in 2025.
C) Taylor Swift – The Tortured Poets Department: This is incorrect because Taylor Swift's album The Tortured Poets Department received an Album of the Year nomination but did not win at the 67th Annual Grammy Awards.
D) Sabrina Carpenter – Short n' Sweet: This is incorrect because Sabrina Carpenter's album Short n' Sweet was nominated for Album of the Year but did not win. However, it won Best Pop Vocal Album at the same ceremony.
To find the fifth number, we will use the definition of the average. The average of a set of numbers is the sum of the numbers divided by the count of the numbers. We are given the average of five numbers and four of those numbers. We can set up an equation to find the sum of all five numbers and then subtract the sum of the four known numbers to find the fifth number.
Understand the formula for average:
The average (mean) of a set of numbers is given by:
\[ \text{Average} = \frac{\text{Sum of numbers}}{\text{Count of numbers}} \]Calculate the total sum of the five numbers:
We are given that the average of five numbers is 56. So, we can write:
\[ 56 = \frac{\text{Sum of 5 numbers}}{5} \]To find the sum of the five numbers, multiply the average by the count:
\[ \text{Sum of 5 numbers} = 56 \times 5 = 280 \]Calculate the sum of the four given numbers:
The four given numbers are 35, 42, 32, and 26. Their sum is:
\[ \text{Sum of 4 numbers} = 35 + 42 + 32 + 26 = 135 \]Find the fifth number:
Let the fifth number be \(x\). We know that:
\[ \text{Sum of 5 numbers} = \text{Sum of 4 numbers} + \text{Fifth number} \]Substitute the values we calculated:
\[ 280 = 135 + x \]Now, solve for \(x\):
\[ x = 280 - 135 \]\[ x = 145 \]
Therefore, the fifth number is 145.
Correct Option: A) 145
The problem asks us to identify a pair of letter groups that follows the same pattern as the two given pairs. We need to analyze the transformation from the first group of letters to the second group in each given pair to deduce the underlying rule.
D) KKQ : LFM
This pair follows the pattern \((+1, -5, -4)\).
The question asks for the primary goal of privatisation. Privatisation is the process of transferring ownership of a business, enterprise, agency, public service, or public property from the public sector (a government or state-owned entity) to the private sector. We need to evaluate the given options in the context of the widely accepted economic objectives of privatisation.
Based on this evaluation, improving efficiency and reducing government burden are the most prominent and widely cited primary goals of privatisation.
Correct Option: B) Improve efficiency and reduce government burden
The question asks to identify the specific body established by the British Parliament to oversee both the civil and military administration of British territories in India. This refers to a key administrative reform introduced to control the East India Company's affairs.
B) Board of Control — Pitt's India Act of 1784 established the Board of Control to supervise and direct all operations of the civil and military government, and revenues of the British possessions in India. This effectively brought the political and administrative affairs of the Company under the direct control of the British government.
This problem requires the application of the empirical relationship between mean, median, and mode for a moderately skewed distribution. The empirical formula states: \(\text{Mode} = 3 \times \text{Median} - 2 \times \text{Mean}\). We are given a relationship between the median and mode, and we need to find the relationship between the median and mean.
Understand the given information:
We are given that the median of the data is 20.8 less than its mode. This can be written as:
Rearranging this, we get:
\[ \text{Mode} - \text{Median} = 20.8 \quad \text{(Equation 1)} \]Recall the empirical formula:
The empirical relationship between mean, median, and mode is:
Substitute and solve:
Substitute Equation 1 into Equation 2. First, express Mode from Equation 1:
Now substitute this into Equation 2:
\[ \text{Median} + 20.8 = 3 \times \text{Median} - 2 \times \text{Mean} \]Rearrange the terms to isolate the relationship between Median and Mean:
\[ 20.8 = 3 \times \text{Median} - \text{Median} - 2 \times \text{Mean} \] \[ 20.8 = 2 \times \text{Median} - 2 \times \text{Mean} \]Divide the entire equation by 2:
\[ \frac{20.8}{2} = \frac{2 \times \text{Median}}{2} - \frac{2 \times \text{Mean}}{2} \] \[ 10.4 = \text{Median} - \text{Mean} \]This can be written as:
\[ \text{Median} = \text{Mean} + 10.4 \]This means the median exceeds its mean by 10.4.
Correct Option: D) 10.4
The problem asks us to identify numbers in a given series that are immediately preceded by a number and immediately followed by a number. We need to scan the series from left to right and look for sequences of three consecutive numbers.
D) 6
There are 6 such numbers (4, 6, 6, 3, 8, 7) in the series that are immediately preceded by a number and immediately followed by a number.